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Journal articles on the topic 'Dynamical coupling'

Author: Grafiati

Published: 6 September 2023

Last updated: 31 July 2025

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1

Miao, Yu, He Liang, Zhao Haiyun, Chen Zhigang, and Yi Junyan. "Analysis and Design of Adaptive Synchronization of a Complex Dynamical Network with Time-Delayed Nodes and Coupling Delays." Mathematical Problems in Engineering 2017 (2017): 1–11. http://dx.doi.org/10.1155/2017/8965124.

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This paper is devoted to the study of synchronization problems in uncertain dynamical networks with time-delayed nodes and coupling delays. First, a complex dynamical network model with time-delayed nodes and coupling delays is given. Second, for a complex dynamical network with known or unknown but bounded nonlinear couplings, an adaptive controller is designed, which can ensure that the state of a dynamical network asymptotically synchronizes at the individual node state locally or globally in an arbitrary specified network. Then, the Lyapunov-Krasovskii stability theory is employed to estim

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2

Ramadoss, Janarthan, Premraj Durairaj, Karthikeyan Rajagopal, and Akif Akgul. "Collective Dynamical Behaviors of Nonlocally Coupled Brockett Oscillators." Mathematical Problems in Engineering 2023 (April 17, 2023): 1–7. http://dx.doi.org/10.1155/2023/1600610.

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In this study, we consider a network of nonlocally coupled Brockett oscillators (BOs) with attractive and repulsive (AR) couplings to illustrate the existence of diverse collective dynamical behaviors, whereas previous studies solely concentrated on synchronization. In the absence of coupling, the individual BO oscillator shows stable periodic oscillations (POs) or stable steady state (SS) depending on the critical values of the parameters. We first begin by examining the collective dynamics by setting the critical value of the parameters at the active (PO) region. A diverge collective dynamic

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3

Liao, Bin-Kai, Chin-Hao Tseng, Yu-Chen Chu, and Sheng-Kwang Hwang. "Effects of Asymmetric Coupling Strength on Nonlinear Dynamics of Two Mutually Long-Delay-Coupled Semiconductor Lasers." Photonics 9, no. 1 (2022): 28. http://dx.doi.org/10.3390/photonics9010028.

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This study investigates the effects of asymmetric coupling strength on nonlinear dynamics of two mutually long-delay-coupled semiconductor lasers through both experimental and numerical efforts. Dynamical maps and spectral features of dynamical states are analyzed as a function of the coupling strength and detuning frequency for a fixed coupling delay time. Symmetry in the coupling strength of the two lasers, in general, symmetrizes their dynamical behaviors and the corresponding spectral features. Slight to moderate asymmetry in the coupling strength moderately changes their dynamical behavio

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Westerhoff, Hans V., Miguel A. Aon, Karel van Dam, Sonia Cortassa, Daniel Kahn, and Marielle van Workum. "Dynamical and hierarchical coupling." Biochimica et Biophysica Acta (BBA) - Bioenergetics 1018, no. 2-3 (1990): 142–46. http://dx.doi.org/10.1016/0005-2728(90)90235-v.

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5

Trinschek, Sarah, and Stefan J. Linz. "Dynamics of Attractively and Repulsively Coupled Elementary Chaotic Systems." International Journal of Bifurcation and Chaos 26, no. 03 (2016): 1630005. http://dx.doi.org/10.1142/s0218127416300056.

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We investigate an elementary model for doubly coupled dynamical systems that consists of two identical, mutually interacting minimal chaotic flows in the form of jerky dynamics. The coupling mechanisms allow for the simultaneous presence of attractive and repulsive interactions between the systems. Despite its functional simplicity, the model is capable of exhibiting diverse types of dynamical phenomena induced by the presence of the couplings. We provide an in-depth numerical investigation of the dynamics depending on the coupling strengths and the autonomous dynamical behavior of the subsyst

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6

WU, ZHAOYAN, and XINCHU FU. "SYNCHRONIZATION OF COMPLEX-VARIABLE DYNAMICAL NETWORKS WITH COMPLEX COUPLING." International Journal of Modern Physics C 24, no. 02 (2013): 1350007. http://dx.doi.org/10.1142/s0129183113500071.

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In this paper, synchronization of complex-variable dynamical networks with complex coupling is investigated. An adaptive feedback control scheme is adopted to design controllers for achieving synchronization of a general network with both complex inner and outer couplings. For a network with only complex inner or outer coupling, pinning control and adaptive coupling strength methods are adopted to achieve synchronization under some assumptions. Several synchronization criteria are derived based on Lyapunov stability theory. Numerical simulations are provided to verify the effectiveness of the

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7

Hou, Wei-Shu. "Bootstrap Dynamical Symmetry Breaking." Advances in High Energy Physics 2013 (2013): 1–19. http://dx.doi.org/10.1155/2013/650617.

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Despite the emergence of a 125 GeV Higgs-like particle at the LHC, we explore the possibility of dynamical electroweak symmetry breaking by strong Yukawa coupling of very heavy new chiral quarksQ. Taking the 125 GeV object to be a dilaton with suppressed couplings, we note that the Goldstone bosonsGexist as longitudinal modesVLof the weak bosons and would couple toQwith Yukawa couplingλQ. WithmQ≳700 GeV from LHC, the strongλQ≳4could lead to deeply boundQQ¯states. We postulate that the leading “collapsed state,” the color-singlet (heavy) isotriplet, pseudoscalarQQ¯mesonπ1, isGitself, and a gap

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Raushan, Rakesh, and R. Chaubey. "Qualitative study of anisotropic cosmological models with dark sector coupling." Canadian Journal of Physics 95, no. 11 (2017): 1049–61. http://dx.doi.org/10.1139/cjp-2017-0088.

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In this paper, we study the dynamical evolution of locally rotationally symmetric (LRS) Bianchi type I cosmological model with coupling of dark sector. We investigate the phase-plane analysis when dark energy is modelled as exponential quintessence, and is coupled to dark energy matter via linear coupling between both dark components. The evolution of cosmological solutions is studied by using dynamical systems techniques. Stability and viability issues for three different physically viable linear couplings between both dark components are presented and discussed in detail.

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9

Hovhannisyan, Garri, and Caleb Dewey. "Natural & normative dynamical coupling." Cognitive Systems Research 43 (June 2017): 128–39. http://dx.doi.org/10.1016/j.cogsys.2016.11.004.

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10

Kurizki, Gershon. "Universal Dynamical Control of Open Quantum Systems." ISRN Optics 2013 (September 19, 2013): 1–51. http://dx.doi.org/10.1155/2013/783865.

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Due to increasing demands on speed and security of data processing, along with requirements on measurement precision in fundamental research, quantum phenomena are expected to play an increasing role in future technologies. Special attention must hence be paid to omnipresent decoherence effects, which hamper quantumness. Their consequence is always a deviation of the quantum state evolution (error) with respect to the expected unitary evolution if these effects are absent. In operational tasks such as the preparation, transformation, transmission, and detection of quantum states, these effects

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11

DELBOURGO, R., and M. D. SCADRON. "DYNAMICAL GENERATION OF THE GAUGED SU(2) LINEAR SIGMA MODEL." Modern Physics Letters A 10, no. 03 (1995): 251–66. http://dx.doi.org/10.1142/s0217732395000284.

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The fermion and meson sectors of the quark-level SU(2) linear sigma model are dynamically generated from a meson–quark Lagrangian, with the quark (q) and meson (σ, π) fields all treated as elementary, having neither bare masses nor expectation values. In the chiral limit, the masses are predicted to be mq = fπg, mπ = 0, mσ = 2mq, and we also find that the quark–meson coupling is [Formula: see text], the three-meson coupling is [Formula: see text] and the four-meson coupling is λ = 2g2 = g′/fπ, where fπ ≃ 90 MeV is the pion decay constant and Nc = 3 is the color number. By gauging this model on

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12

Moon, Woosok, and John S. Wettlaufer. "Coupling functions in climate." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 377, no. 2160 (2019): 20190006. http://dx.doi.org/10.1098/rsta.2019.0006.

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We examine how coupling functions in the theory of dynamical systems provide a quantitative window into climate dynamics. Previously, we have shown that a one-dimensional periodic non-autonomous stochastic dynamical system can simulate the monthly statistics of surface air temperature data. Here, we expand this approach to two-dimensional dynamical systems to include interactions between two sub-systems of the climate. The relevant coupling functions are constructed from the covariance of the data from the two sub-systems. We demonstrate the method on two tropical climate indices, the El-Niño–

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13

Zhang, Gang, and Guanrong Chen. "Synchronization of Intermittently Coupled Dynamical Networks." Mathematical Problems in Engineering 2013 (2013): 1–9. http://dx.doi.org/10.1155/2013/208609.

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This paper investigates the synchronization phenomenon of an intermittently coupled dynamical network in which the coupling among nodes can occur only at discrete instants and the coupling configuration of the network is time varying. A model of intermittently coupled dynamical network consisting of identical nodes is introduced. Based on the stability theory for impulsive differential equations, some synchronization criteria for intermittently coupled dynamical networks are derived. The network synchronizability is shown to be related to the second largest and the smallest eigenvalues of the

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14

Solís-Perales, Gualberto, José Luis Zapata, and Guillermo Obregón-Pulido. "Synchronization in Time-Varying and Evolving Complex Networks." Mathematics 8, no. 11 (2020): 1939. http://dx.doi.org/10.3390/math8111939.

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In this contribution, we present the synchronization in dynamical complex networks with varying couplings. We identify two kinds of variations—(i) Non autonomous (Time-varying) couplings: where the coupling strength depends exclusively on time, (ii) Autonomous or Varying couplings (evolution) where the coupling strength depends on the behavior of the interconnected systems. The coupling strength in (i) is exogenous whereas in (ii) the coupling strength is endogenous and is defined by the states of the systems in the nodes. The exponential stability of the synchronization is ensured for the non

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15

Legorreta, U. Uriostegui, E. S. Tututi Hernández, and G. Arroyo-Correa. "A new scheme of coupling and synchronizing low-dimensional dynamical systems." Revista Mexicana de Física 67, no. 2 Mar-Apr (2021): 334–42. http://dx.doi.org/10.31349/revmexfis.67.334.

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A different manner of study synchronization between chaotic systems is presented. This is done by using two different forced coupled nonlinear circuits. The way of coupling the systems under study is different from those used in the analysis of chaos in dynamical systems of low dimensionality. The study of synchronization and how to manipulate it, is carried out through the variation of the couplings by calculating the bifurcation diagrams. We observed that for rather larger values of the coupling between the circuits it is reached total synchronization, while for small values of the coupling

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16

Wang, Xinwei, Guo-Ping Jiang, Chunxia Fan, and Xu Wu. "Topology Detection for Output-Coupling Weighted Complex Dynamical Networks with Coupling and Transmission Delays." Mathematical Problems in Engineering 2017 (2017): 1–8. http://dx.doi.org/10.1155/2017/6019714.

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Topology detection for output-coupling weighted complex dynamical networks with two types of time delays is investigated in this paper. Different from existing literatures, coupling delay and transmission delay are simultaneously taken into account in the output-coupling network. Based on the idea of the state observer, we build the drive-response system and apply LaSalle’s invariance principle to the error dynamical system of the drive-response system. Several convergent criteria are deduced in the form of algebraic inequalities. Some numerical simulations for the complex dynamical network, w

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17

Yan, Lihong, and Junmin Li. "Adaptive Finite-Time Synchronization for Complex Dynamical Network with Different Dimensions of Nodes and Time-Varying Outer Coupling Structures." Mathematical Problems in Engineering 2018 (December 20, 2018): 1–12. http://dx.doi.org/10.1155/2018/2474150.

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In this paper, we investigate finite-time synchronization problems of complex dynamical networks with different dimensions of nodes, which contain unknown periodically coupling structures and bounded time-varying delay. Based on finite-time stability theory, the inequality techniques, and the properties of Kronecker production of matrices, some useful finite-time synchronization criteria for complex dynamical network with unknown periodical couplings have been obtained. In addition, with proper adaptive periodical learning law designed, the unknown periodical couplings have been estimated succ

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18

Grácio, Clara, Sara Fernandes, Luís Lopes, and Gyan Bahadur Thapa. "Analysis of the Behavior of a Chaotic Dynamic System under Different Types of Couplings and Several free Dynamics." Journal of the Institute of Engineering 15, no. 2 (2019): 92–112. http://dx.doi.org/10.3126/jie.v15i2.27647.

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In this paper, we analyze how the behavior of a chaotic dynamical system changes when we couple it with another. We focus our attention on two aspects: the possibility of chaos suppression and the possibility of synchronization. We consider a Symmetric Linear Coupling and several free dynamics. For each of them we study the evolution of the coupling behavior with the coupling strength constant, defining windows of behavior. We extend the analysis to some other couplings. This is a survey paper. 

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19

Granda, L. N., and D. F. Jimenez. "Dynamical analysis for a scalar–tensor model with kinetic and nonminimal couplings." International Journal of Modern Physics D 27, no. 03 (2018): 1850030. http://dx.doi.org/10.1142/s021827181850030x.

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We study the autonomous system for a scalar–tensor model of dark energy with nonminimal coupling to curvature and nonminimal kinetic coupling to the Einstein tensor. The critical points describe important stable asymptotic scenarios including quintessence, phantom and de Sitter attractor solutions. Two functional forms for the coupling functions and the scalar potential were considered: power-law and exponential functions of the scalar field. For power-law couplings, the restrictions on stable quintessence and phantom solutions lead to asymptotic freedom regime for the gravitational interactio

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20

Xu, Zhi-Qin, Douglas Zhou, and David Cai. "Dynamical and Coupling Structure of Pulse-Coupled Networks in Maximum Entropy Analysis." Entropy 21, no. 1 (2019): 76. http://dx.doi.org/10.3390/e21010076.

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Maximum entropy principle (MEP) analysis with few non-zero effective interactions successfully characterizes the distribution of dynamical states of pulse-coupled networks in many fields, e.g., in neuroscience. To better understand the underlying mechanism, we found a relation between the dynamical structure, i.e., effective interactions in MEP analysis, and the anatomical coupling structure of pulse-coupled networks and it helps to understand how a sparse coupling structure could lead to a sparse coding by effective interactions. This relation quantitatively displays how the dynamical structu

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21

Wu, Xu, Guo-Ping Jiang, and Xinwei Wang. "A New Model for Complex Dynamical Networks Considering Random Data Loss." Entropy 21, no. 8 (2019): 797. http://dx.doi.org/10.3390/e21080797.

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Model construction is a very fundamental and important issue in the field of complex dynamical networks. With the state-coupling complex dynamical network model proposed, many kinds of complex dynamical network models were introduced by considering various practical situations. In this paper, aiming at the data loss which may take place in the communication between any pair of directly connected nodes in a complex dynamical network, we propose a new discrete-time complex dynamical network model by constructing an auxiliary observer and choosing the observer states to compensate for the lost st

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22

Nandan, Mauparna, Sourav K. Bhowmick, and Pinaki Pal. "Linear Generalized Synchronization Using Bidirectional Coupling." International Journal of Nonlinear Sciences and Numerical Simulation 16, no. 2 (2015): 67–72. http://dx.doi.org/10.1515/ijnsns-2014-0027.

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AbstractWe present a bidirectional coupling strategy to establish targeted linear generalized synchronization between two mismatched continuous chaotic dynamical systems. The strategy is based on Routh–Hurwitz stability criterion. Using the proposed coupling scheme we are able to achieve stable linear generalized synchronization between two mismatched chaotic dynamical systems. The coupling strategy is illustrated using the paradigmatic Lorenz, Rössler and Sprott systems.

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23

Hagos, Zeray, Tomislav Stankovski, Julian Newman, Tiago Pereira, Peter V. E. McClintock, and Aneta Stefanovska. "Synchronization transitions caused by time-varying coupling functions." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 377, no. 2160 (2019): 20190275. http://dx.doi.org/10.1098/rsta.2019.0275.

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Interacting dynamical systems are widespread in nature. The influence that one such system exerts on another is described by a coupling function; and the coupling functions extracted from the time-series of interacting dynamical systems are often found to be time-varying. Although much effort has been devoted to the analysis of coupling functions, the influence of time-variability on the associated dynamics remains largely unexplored. Motivated especially by coupling functions in biology, including the cardiorespiratory and neural delta-alpha coupling functions, this paper offers a contributio

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24

ALAMOUDI, SAEED M. "DYNAMICAL VISCOSITY OF NUCLEATING BUBBLES." International Journal of Modern Physics A 16, supp01c (2001): 1291–93. http://dx.doi.org/10.1142/s0217751x01009569.

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We study the viscosity corrections to the growth rate of nucleating bubbles in a slightly supercooled first order phase transition. We propose a microscopic approach that leads to the nonequilibrium equation of motion of the coordinate that describes small departures from the critical bubble and allows to extract the growth rate consistently in a weak coupling expansion and in the thin wall limit. In 3+1 dimensions we recognize model independent long-wavelength hydrodynamic fluctuations that describe surface waves. The coupling of this coordinate to these hydrodynamic modes results in the larg

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25

QI, GUANXIAO, HONGBIN HUANG, and HAIJUN WANG. "SIZE INSTABILITIES IN THE RING AND LINEAR ARRAYS OF CHAOTIC SYSTEMS." Advances in Complex Systems 10, no. 03 (2007): 301–13. http://dx.doi.org/10.1142/s0219525907001185.

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We investigate the dynamical stabilities of ring and linear arrays of chaotic oscillators with asymmetric nearest-neighbor and long-range couplings. It is shown that the instabilities of complete chaotic synchronization occur as the numbers of oscillators are increased beyond critical values which depend on the coupling schemes and coupling parameters of the systems. Based on the master stability function and eigenvalue analysis methods, we give the semi-analytical relations between the critical values and the coupling parameters. Results are demonstrated with numerical simulations in a set of

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26

Ren, Guowu, Dier Zhang, and Xin-Gao Gong. "Dynamical Coupling Atomistic and Continuum Simulations." Communications in Computational Physics 10, no. 5 (2011): 1305–14. http://dx.doi.org/10.4208/cicp.231110.080211a.

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AbstractWe propose a new multiscale method that couples molecular dynamics simulations (MD) at the atomic scale and finite element simulations (FE) at the continuum regime. By constructing the mass matrix and stiffness matrix dependent on coarsening of grids, we find a general form of the equations of motion for the atomic and continuum regions. In order to improve the simulation at finite temperatures, we propose a low-pass phonon filter near the interface between the atomic and continuum regions, which is transparent for low frequency phonons, but dampens the high frequency phonons.

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Anselmino, M., and M. D. Scadron. "Dynamical model coupling strangeness to nucleons." Il Nuovo Cimento A 104, no. 8 (1991): 1091–94. http://dx.doi.org/10.1007/bf02784491.

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28

Nakagawa, N., and K. Kaneko. "1O1145 Dynamical Mechanism for Loose Coupling." Seibutsu Butsuri 42, supplement2 (2002): S89. http://dx.doi.org/10.2142/biophys.42.s89_3.

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29

Bartkowska, J. A. "Dynamical Magnetoelectric Coupling in Multiferroic BiFeO3." International Journal of Thermophysics 32, no. 4 (2011): 739–45. http://dx.doi.org/10.1007/s10765-011-0920-3.

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30

Dosch, H. G., та Erasmo Ferreira. "Dynamical evaluation ofπd-dibaryon coupling parameters". Physical Review C 32, № 2 (1985): 496–501. http://dx.doi.org/10.1103/physrevc.32.496.

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31

Daffertshofer, Andreas, Raoul Huys, and Peter J. Beek. "Dynamical coupling between locomotion and respiration." Biological Cybernetics -1, no. 1 (2003): 1. http://dx.doi.org/10.1007/s00422-004-0462-6.

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Daffertshofer, Andreas, Raoul Huys, and Peter J. Beek. "Dynamical coupling between locomotion and respiration." Biological Cybernetics 90, no. 3 (2004): 157–64. http://dx.doi.org/10.1007/s00422-004-0462-x.

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Vashisht, Anirudh, and Amit Sharma. "Enhancing dynamical robustness with mixed coupling." Chaos, Solitons & Fractals 193 (April 2025): 116127. https://doi.org/10.1016/j.chaos.2025.116127.

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YANG, XIAO-SONG, and QUAN YUAN. "EMERGENT CHAOS SYNCHRONIZATION IN NONCHAOTIC CNNS." International Journal of Bifurcation and Chaos 18, no. 05 (2008): 1337–42. http://dx.doi.org/10.1142/s0218127408021026.

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It is shown that emergent chaos synchronization can take place in coupled nonchaotic unit dynamical systems. This is demonstrated by coupling two nonchaotic cellular neural networks, in which the couplings give rise to a synchronous chaotic dynamics and in the meanwhile the synchronous dynamics is globally asymptotically stable, thus chaos synchronization takes place under the suitable couplings.

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Wei, Xing. "Coupling of Dynamical Tide and Orbital Motion." Astrophysical Journal 981, no. 1 (2025): 1. https://doi.org/10.3847/1538-4357/adb1e5.

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Abstract The dynamical tide consists of various waves that can resonate with orbital motion. We test this coupling of the dynamical tide and orbital motion using a simple 2D shallow water model, which can be applied to a rocky planet covered with a thin ocean or atmosphere. Then we take the Earth–Moon system as a fiducial model to calculate the tidal resonances and orbital evolution. We find that tidal dissipation can even increase with increasing orbital separation because of the coupling of the dynamical tide and orbital motion. We draw the conclusion that the coupling is not negligible to s

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Zhu, Yalei, Zeyu Jiang, Zhongxue Ren, et al. "Dynamical channel coupling in strong-field ionization of CO₂." Optics Express 32, no. 21 (2024): 37446. http://dx.doi.org/10.1364/oe.537980.

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We present a theoretical study employing the time-dependent density functional theory (TDDFT) to explore the effects of angle-resolved channel coupling in strong field ionization of carbon dioxide (CO2) molecules. Our results reveal significant angular sensitivity of both the channel-resolved ionization probabilities and the effects of laser-induced channel couplings. By applying a linearly polarized two-color field scheme, we demonstrate the ability to significantly modify the strength of the laser-induced coupling, evidenced by the changes in the population distributions among the ionic stat

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Chengrong, Xie, Xing Yu, Xia Qing, Dongbing Tong, and Yuhua Xu. "Finite-Time Synchronization of Complex Dynamical Networks with Nondelayed and Delayed Coupling by Continuous Function Controller." Discrete Dynamics in Nature and Society 2020 (April 27, 2020): 1–7. http://dx.doi.org/10.1155/2020/4171585.

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This paper investigates the finite-time synchronization of complex dynamical networks with nondelayed and delayed coupling. By designing a simple continuous function controller, sufficient criteria for finite-time synchronization of dynamical networks with nondelayed and delayed coupling are obtained. As a special case, the continuous function controller designed in this paper may be the simplest and easy to implement for the finite-time synchronization of dynamical networks without delay. Finally, numerical simulations are given to verify the effectiveness of the conclusions presented in this

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Monteiro, L. H. A., I. Gonzalez, and J. R. C. Piqueira. "Border Figure Detection Using a Phase Oscillator Network with Dynamical Coupling." Mathematical Problems in Engineering 2008 (2008): 1–8. http://dx.doi.org/10.1155/2008/127827.

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Oscillator networks have been developed in order to perform specific tasks related to image processing. Here we analytically investigate the existence of synchronism in a pair of phase oscillators that are short-range dynamically coupled. Then, we use these analytical results to design a network able of detecting border of black-and-white figures. Each unit composing this network is a pair of such phase oscillators and is assigned to a pixel in the image. The couplings among the units forming the network are also dynamical. Border detection emerges from the network activity.

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Goumri-Said, Souraya, Tahani A. Alrebdi, Engin Deligoz, Haci Ozisik, and Mohammed Benali Kanoun. "Revisiting the Electronic Structures and Phonon Properties of Thermoelectric Antimonide-Tellurides: Spin–Orbit Coupling Induced Gap Opening in ZrSbTe and HfSbTe." Crystals 11, no. 8 (2021): 917. http://dx.doi.org/10.3390/cryst11080917.

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We report theoretical studies based on density functional theory within spin-orbit coupling to explore electronic structures, lattice dynamical properties of ZrSbTe and HfSbTe. With spin−orbit coupling included, our findings reveal that ZrSbTe and HfSbTe exhibit a semiconducting behavior with narrow indirect band gaps of 0.10 eV, and 0.15 eV, respectively. Besides, the lattice dynamical properties revealed that the explored materials based on antimonide−tellurides are dynamically stable. On the basis of electronic structures, the thermoelectric properties were computed using the Landauer-Butti

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Li, Wang, Yongzheng Sun, Youquan Liu, and Donghua Zhao. "Analyzing synchronization of time-delayed complex dynamical networks with periodic on-off coupling." International Journal of Modern Physics B 31, no. 28 (2017): 1750210. http://dx.doi.org/10.1142/s0217979217502101.

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We investigate the synchronization of time-delayed complex dynamical networks with periodic on-off coupling. We derive sufficient conditions for the complete and generalized outer synchronization. Both our analytical and numerical results show that two time-delayed networks can achieve outer synchronization even if the couplings between the two networks switch off periodically. This synchronization behavior is largely dependent of the coupling strength, the on-off period, the on-off rate and the time delay. In particular, we find that the synchronization time nonmonotonically increases as the

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Yan, Lihong, and Junmin Li. "Adaptive Aperiodically Intermittent Synchronization for Complex Dynamical Network with Unknown Time-Varying Outer Coupling Strengths." Mathematical Problems in Engineering 2019 (May 29, 2019): 1–12. http://dx.doi.org/10.1155/2019/6732357.

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In this paper, exponential synchronization problem of complex dynamical networks with unknown periodically coupling strengths was investigated. An aperiodically intermittent control synchronization strategy is proposed. Based on Lyapunov exponential stability theory, inequality techniques, and adaptive learning laws design, some sufficient exponential synchronization criteria for complex dynamical network with unknown periodical coupling weights are obtained. The numerical simulation example is presented to illustrate the feasibility of theoretical results.

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He, Li Le, and Rong Li Li. "Dynamical Analysis for Mechanical Arm of the Coal Sampling Machine Based on Rigid-Flexible Coupling Model." Advanced Materials Research 605-607 (December 2012): 1172–75. http://dx.doi.org/10.4028/www.scientific.net/amr.605-607.1172.

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Based on multi-body dynamics theory and the Lagrange equation， the rigid-flexible coupling dynamical equations of the Coal sampling arm was deduced.The rigid-flexible coupling mode is established by combining with Pro/E, ANSYS and ADAMS, and the model curve is gotten by simulation. The simulation results indicate that rigid-flexible coupling modeling is more actual and it is necessary to consider the flexible deformation of all arms when the sampling arm system is researched. The results in this paper presents the theoretical foundation for the sampling arm dynamical analysis and structure opt

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BRAGARD, J., F. T. ARECCHI, and S. BOCCALETTI. "CHARACTERIZATION OF SYNCHRONIZED SPATIOTEMPORAL STATES IN COUPLED NONIDENTICAL COMPLEX GINZBURG–LANDAU EQUATIONS." International Journal of Bifurcation and Chaos 10, no. 10 (2000): 2381–89. http://dx.doi.org/10.1142/s0218127400001493.

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We characterize the synchronization of two nonidentical spatially extended fields ruled by one-dimensional Complex Ginzburg–Landau equations, in the two regimes of phase and amplitude turbulence. If two fields display the same dynamical regime, the coupling induces a transition to a completely synchronized state. When, instead, the two fields are in different dynamical regimes, the transition to complete synchronization is mediated by defect synchronization. In the former case, the synchronized manifold is dynamically equivalent to that of the unsynchronized systems, while in the latter case t

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44

Cerf, Raphaël, and Sana Louhichi. "Dynamical coupling between Ising and FK percolation." Latin American Journal of Probability and Mathematical Statistics 16, no. 2 (2019): 1235. http://dx.doi.org/10.30757/alea.v16-48.

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Cerf, Raphaël, and Sana Louhichi. "Dynamical coupling between Ising and FK percolation." Latin American Journal of Probability and Mathematical Statistics 17, no. 1 (2020): 23. http://dx.doi.org/10.30757/alea.v17-02.

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Singh, Harpartap, and P. Parmananda. "Alternate Coupling Mechanism for Dynamical Quorum Sensing." Journal of Physical Chemistry A 116, no. 42 (2012): 10269–75. http://dx.doi.org/10.1021/jp308752c.

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Mukherjee, R., and R. C. Rosenberg. "Gyroscopic Coupling in Holonomic Lagrangian Dynamical Systems." Journal of Applied Mechanics 66, no. 2 (1999): 552–56. http://dx.doi.org/10.1115/1.2791084.

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Grigoryan, Vahram, and Jiang Xiao. "Dynamical spin-spin coupling of quantum dots." EPL (Europhysics Letters) 104, no. 1 (2013): 17008. http://dx.doi.org/10.1209/0295-5075/104/17008.

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Sharma, Amit, Manish Dev Shrimali, Awadhesh Prasad, and Ram Ramaswamy. "Time-delayed conjugate coupling in dynamical systems." European Physical Journal Special Topics 226, no. 9 (2017): 1903–10. http://dx.doi.org/10.1140/epjst/e2017-70026-4.

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Broze, George, Satish Narayanan, and Fazle Hussain. "Measuring spatial coupling in inhomogeneous dynamical systems." Physical Review E 55, no. 4 (1997): 4179–86. http://dx.doi.org/10.1103/physreve.55.4179.

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