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Journal articles on the topic 'Dynamical'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Koelink, Erik, and Yvette Van Norden. "The dynamicalU(n)quantum group." International Journal of Mathematics and Mathematical Sciences 2006 (2006): 1–30. http://dx.doi.org/10.1155/ijmms/2006/65279.

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We study the dynamical analogue of the matrix algebraM(n), constructed from a dynamicalR-matrix given by Etingof and Varchenko. A left and a right corepresentation of this algebra, which can be seen as analogues of the exterior algebra representation, are defined and this defines dynamical quantum minor determinants as the matrix elements of these corepresentations. These elements are studied in more detail, especially the action of the comultiplication and Laplace expansions. Using the Laplace expansions we can prove that the dynamical quantum determinant is almost central, and adjoining an i

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2

van Gelder, Tim. "The dynamical hypothesis in cognitive science." Behavioral and Brain Sciences 21, no. 5 (1998): 615–28. http://dx.doi.org/10.1017/s0140525x98001733.

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According to the dominant computational approach in cognitive science, cognitive agents are digital computers; according to the alternative approach, they are dynamical systems. This target article attempts to articulate and support the dynamical hypothesis. The dynamical hypothesis has two major components: the nature hypothesis (cognitive agents are dynamical systems) and the knowledge hypothesis (cognitive agents can be understood dynamically). A wide range of objections to this hypothesis can be rebutted. The conclusion is that cognitive systems may well be dynamical systems, and only sust

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3

De Luca, Federico, Marco De Petris, Gustavo Yepes, Weiguang Cui, Alexander Knebe, and Elena Rasia. "The Three Hundred project: dynamical state of galaxy clusters and morphology from multiwavelength synthetic maps." Monthly Notices of the Royal Astronomical Society 504, no. 4 (2021): 5383–400. http://dx.doi.org/10.1093/mnras/stab1073.

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ABSTRACT We study the connection between morphology and dynamical state of the simulated galaxy clusters in z ∈ [0, 1.031] from The Three Hundred project. We quantify cluster dynamical state using a combination of dynamical indicators from theoretical measures and compare this combined parameter, χ, with the results from morphological classifications. The dynamical state of the cluster sample shows a continuous distribution from dynamically relaxed, more abundant at lower redshift, to hybrid and disturbed. The dynamical state presents a clear dependence on the radius, with internal regions mor

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Belloni, Diogo, Pavel Kroupa, Helio J. Rocha-Pinto, and Mirek Giersz. "Dynamical equivalence, the origin of the Galactic field stellar and binary population, and the initial radius–mass relation of embedded clusters." Monthly Notices of the Royal Astronomical Society 474, no. 3 (2017): 3740–45. http://dx.doi.org/10.1093/mnras/stx3034.

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Abstract In order to allow a better understanding of the origin of Galactic field populations, dynamical equivalence of stellar-dynamical systems has been postulated by Kroupa and Belloni et al. to allow mapping of solutions of the initial conditions of embedded clusters such that they yield, after a period of dynamical processing, the Galactic field population. Dynamically equivalent systems are defined to initially and finally have the same distribution functions of periods, mass ratios and eccentricities of binary stars. Here, we search for dynamically equivalent clusters using the mocca co

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Nasim, Imran, and Michael E. Henderson. "Dynamically Meaningful Latent Representations of Dynamical Systems." Mathematics 12, no. 3 (2024): 476. http://dx.doi.org/10.3390/math12030476.

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Dynamical systems are ubiquitous in the physical world and are often well-described by partial differential equations (PDEs). Despite their formally infinite-dimensional solution space, a number of systems have long time dynamics that live on a low-dimensional manifold. However, current methods to probe the long time dynamics require prerequisite knowledge about the underlying dynamics of the system. In this study, we present a data-driven hybrid modeling approach to help tackle this problem by combining numerically derived representations and latent representations obtained from an autoencode

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6

BALADI, VIVIANE. "Periodic orbits and dynamical spectra (Survey)." Ergodic Theory and Dynamical Systems 18, no. 2 (1998): 255–92. http://dx.doi.org/10.1017/s0143385798113925.

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Basic results in the rigorous theory of weighted dynamical zeta functions or dynamically defined generalized Fredholm determinants are presented. Analytic properties of the zeta functions or determinants are related to statistical properties of the dynamics via spectral properties of dynamical transfer operators, acting on Banach spaces of observables.

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Caballero, Rubén, Alexandre N. Carvalho, Pedro Marín-Rubio, and José Valero. "Robustness of dynamically gradient multivalued dynamical systems." Discrete & Continuous Dynamical Systems - B 24, no. 3 (2019): 1049–77. http://dx.doi.org/10.3934/dcdsb.2019006.

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8

Heath, Richard A. "Cognitive dynamics: A psychological perspective." Behavioral and Brain Sciences 21, no. 5 (1998): 642. http://dx.doi.org/10.1017/s0140525x9838173x.

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Although cognitive psychology is still dominated by computational theories, there is an emerging emphasis on dynamical aspects of cognition. Examples are provided supporting the increased use of dynamically inspired models by psychologists. Despite measurement and model verification problems in the direct use of dynamical system theoretic technology, van Gelder's general approach to cognition is recommended.

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9

Dietrich, Eric, and Arthur B. Markman. "Dynamical description versus dynamical modeling." Trends in Cognitive Sciences 5, no. 8 (2001): 332. http://dx.doi.org/10.1016/s1364-6613(00)01705-8.

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10

Landry, Nicholas W., and Juan G. Restrepo. "Hypergraph assortativity: A dynamical systems perspective." Chaos: An Interdisciplinary Journal of Nonlinear Science 32, no. 5 (2022): 053113. http://dx.doi.org/10.1063/5.0086905.

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The largest eigenvalue of the matrix describing a network’s contact structure is often important in predicting the behavior of dynamical processes. We extend this notion to hypergraphs and motivate the importance of an analogous eigenvalue, the expansion eigenvalue, for hypergraph dynamical processes. Using a mean-field approach, we derive an approximation to the expansion eigenvalue in terms of the degree sequence for uncorrelated hypergraphs. We introduce a generative model for hypergraphs that includes degree assortativity, and use a perturbation approach to derive an approximation to the e

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11

Teixeira, Katie, and Sarah Ballard. "Constraints on Evolutionary Timescales for M Dwarf Planets from Dynamical Stability Arguments." Astrophysical Journal 953, no. 1 (2023): 50. http://dx.doi.org/10.3847/1538-4357/acdc20.

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Abstract The diversity of dynamical conditions among exoplanets is now well established. Yet, the relevance of orbital dynamical timescales to biological evolutionary timescales is poorly understood. Given that even minor orbital changes may place significant pressure on any organisms living on a planet, dynamical sculpting has important implications for the putative evolution of life. In this manuscript, we employ a Monte Carlo framework to investigate how a range of exoplanetary dynamical sculpting timescales affects timescales for biological evolution. We proceed with minimal assumptions fo

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12

Aonishi, Toru, and Masato Okada. "Dynamically Coupled Oscillators: Cooperative Behavior via Dynamical Interaction." Journal of the Physical Society of Japan 72, no. 6 (2003): 1334–37. http://dx.doi.org/10.1143/jpsj.72.1334.

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13

Yuan, Z. S., and J. L. Han. "Dynamical state for 964 galaxy clusters from Chandra X-ray images." Monthly Notices of the Royal Astronomical Society 497, no. 4 (2020): 5485–97. http://dx.doi.org/10.1093/mnras/staa2363.

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ABSTRACT The dynamical state of galaxy clusters describes if clusters are relaxed dynamically or in a merging process of subclusters. Using archival images from the Chandra X-ray Observatory, we derive a set of parameters to describe the dynamical state for 964 galaxy clusters. Three widely used indicators for dynamical state, the concentration index c, the centroid shift ω, and the power ratio P3/P0 are calculated in the circular central region with a radius of 500 kpc. We also derive two adaptive parameters, the profile parameter κ and the asymmetry factor α, in the best fitted elliptical re

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14

Szpiro, George G. "Measuring dynamical noise in dynamical systems." Physica D: Nonlinear Phenomena 65, no. 3 (1993): 289–99. http://dx.doi.org/10.1016/0167-2789(93)90164-v.

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15

Wang, Guangwa, and Yongluo Cao. "Dynamical Spectrum in Random Dynamical Systems." Journal of Dynamics and Differential Equations 26, no. 1 (2013): 1–20. http://dx.doi.org/10.1007/s10884-013-9340-3.

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16

Karolinsky, E., A. Stolin, and V. Tarasov. "From Dynamical to Non-Dynamical Twists." Letters in Mathematical Physics 71, no. 3 (2005): 173–78. http://dx.doi.org/10.1007/s11005-005-0158-8.

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17

Fuchs, B., and O. Esquivel. "Can Massive Dark Haloes Destroy the Discs of Dwarf Galaxies?" Proceedings of the International Astronomical Union 3, S244 (2007): 336–40. http://dx.doi.org/10.1017/s1743921307014184.

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AbstractRecent high-resolution simulations together with theoretical studies of the dynamical evolution of galactic disks have shown that contrary to wide-held beliefs a ‘live’, dynamically responsive, dark halo surrounding a disk does not stabilize the disk against dynamical instabilities. We generalize Toomre's Q stability parameter for a disk-halo system and show that if a disk, which would be otherwise stable, is embedded in a halo, which is too massive and cold, the combined disk-halo system can become locally Jeans unstable. The good news is, on the other hand, that this will not happen

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18

Di Carlo, Ugo Niccolò, Poojan Agrawal, Carl L. Rodriguez, and Katelyn Breivik. "Young Star Clusters Dominate the Production of Detached Black Hole–Star Binaries." Astrophysical Journal 965, no. 1 (2024): 22. http://dx.doi.org/10.3847/1538-4357/ad2f2c.

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Abstract The recent discovery of two detached black hole–star (BH–star) binaries from Gaia’s third data release has sparked interest in understanding the formation mechanisms of these systems. We investigate the formation of these systems by dynamical processes in young star clusters (SCs) and via isolated binary (IB) evolution, using a combination of direct N-body and population synthesis simulations. We find that dynamical formation in SCs is nearly 50 times more efficient per unit of star formation at producing BH–star binaries than IB evolution. We expand this analysis to the full Milky Wa

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19

Orr, Andrew, Thomas J. Bracegirdle, J. Scott Hosking, Wuhu Feng, Howard K. Roscoe, and Joanna D. Haigh. "Strong Dynamical Modulation of the Cooling of the Polar Stratosphere Associated with the Antarctic Ozone Hole." Journal of Climate 26, no. 2 (2012): 662–68. http://dx.doi.org/10.1175/jcli-d-12-00480.1.

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Abstract A model simulation forced by prescribed ozone depletion shows strong dynamical modulation of the springtime cooling of the polar stratosphere associated with the Antarctic ozone hole. The authors find that in late spring the anomalous radiative cooling in response to ozone depletion is almost canceled above ~100 hPa by an increase in dynamical heating. Between ~300 and ~100 hPa, however, it is enhanced by a reduction in dynamical heating, resulting in the descent of the cold anomaly down to the tropopause. In early summer increased dynamical heating dominates as the radiative cooling

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20

Vilenius, E., J. Stansberry, T. Müller, et al. "“TNOs are Cool”: A survey of the trans-Neptunian region." Astronomy & Astrophysics 618 (October 2018): A136. http://dx.doi.org/10.1051/0004-6361/201732564.

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Context. A group of trans-Neptunian objects (TNOs) are dynamically related to the dwarf planet 136108 Haumea. Ten of them show strong indications of water ice on their surfaces, are assumed to have resulted from a collision, and are accepted as the only known TNO collisional family. Nineteen other dynamically similar objects lack water ice absorptions and are hypothesized to be dynamical interlopers. Aims. We have made observations to determine sizes and geometric albedos of six of the accepted Haumea family members and one dynamical interloper. Ten other dynamical interlopers have been measur

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21

Bildik, Necdet, and Mustafa İnç. "On some Extensions of Dynamical Homeomorphism and Dynamical Isomorphism in Dynamical System." Mathematical and Computational Applications 4, no. 2 (1999): 189–94. http://dx.doi.org/10.3390/mca4020189.

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22

Singh, Pooja, and Dania Masood. "Dynamical properties of relative semi-dynamical systems." Journal of Dynamical Systems and Geometric Theories 13, no. 2 (2015): 115–24. http://dx.doi.org/10.1080/1726037x.2015.1076226.

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23

Baez, Maria Laura, Marcel Goihl, Jonas Haferkamp, Juani Bermejo-Vega, Marek Gluza, and Jens Eisert. "Dynamical structure factors of dynamical quantum simulators." Proceedings of the National Academy of Sciences 117, no. 42 (2020): 26123–34. http://dx.doi.org/10.1073/pnas.2006103117.

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The dynamical structure factor is one of the experimental quantities crucial in scrutinizing the validity of the microscopic description of strongly correlated systems. However, despite its long-standing importance, it is exceedingly difficult in generic cases to numerically calculate it, ensuring that the necessary approximations involved yield a correct result. Acknowledging this practical difficulty, we discuss in what way results on the hardness of classically tracking time evolution under local Hamiltonians are precisely inherited by dynamical structure factors and, hence, offer in the sa

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24

Szydłowski, Marek, and Orest Hrycyna. "Dynamical dark energy models – dynamical system approach." General Relativity and Gravitation 38, no. 1 (2006): 121–35. http://dx.doi.org/10.1007/s10714-005-0211-z.

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25

Matsumoto, Diogo Kendy. "Dynamical braces and dynamical Yang–Baxter maps." Journal of Pure and Applied Algebra 217, no. 2 (2013): 195–206. http://dx.doi.org/10.1016/j.jpaa.2012.06.012.

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26

Li, Desheng. "On Dynamical Stability in General Dynamical Systems." Journal of Mathematical Analysis and Applications 263, no. 2 (2001): 455–78. http://dx.doi.org/10.1006/jmaa.2001.7620.

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27

Viennet, Akim, Nikki Vercauteren, Maximilian Engel, and Davide Faranda. "Guidelines for data-driven approaches to study transitions in multiscale systems: The case of Lyapunov vectors." Chaos: An Interdisciplinary Journal of Nonlinear Science 32, no. 11 (2022): 113145. http://dx.doi.org/10.1063/5.0093804.

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This study investigates the use of covariant Lyapunov vectors and their respective angles for detecting transitions between metastable states in dynamical systems, as recently discussed in several atmospheric sciences applications. In a first step, the needed underlying dynamical models are derived from data using a non-parametric model-based clustering framework. The covariant Lyapunov vectors are then approximated based on these data-driven models. The data-based numerical approach is tested using three well-understood example systems with increasing dynamical complexity, identifying propert

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28

SIRVENT, VÍCTOR F. "SPECTRA OF RECURRENCE DIMENSION FOR DYNAMICALLY DEFINED SUBSETS OF RAUZY FRACTALS." Fractals 14, no. 01 (2006): 7–15. http://dx.doi.org/10.1142/s0218348x06003052.

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We compute the spectra of the recurrence dimension for dynamically defined subsets of Rauzy fractals, in the case when these sets are totally disconnected. These subsets of the Rauzy fractals are defined by subadic systems, therefore there is a well-defined dynamical system defined on them. The spectra of the recurrence dimension for adic and subadic systems was computed by the author in Sirvent,1and in the present article we extend those results to the dynamical systems mentioned before, which are geometrical realizations of these symbolic systems.This dimension is characterized by the Poinca

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Poci, Adriano, Richard M. McDermid, Ling Zhu, and Glenn van de Ven. "Combining stellar populations with orbit-superposition dynamical modelling: the formation history of the lenticular galaxy NGC 3115." Monthly Notices of the Royal Astronomical Society 487, no. 3 (2019): 3776–96. http://dx.doi.org/10.1093/mnras/stz1154.

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Abstract We present a combination of the Schwarzschild orbit-superposition dynamical modelling technique with the spatially resolved mean stellar age and metallicity maps to uncover the formation history of galaxies. We apply this new approach to a remarkable five-pointing mosaic of VLT/MUSE observations obtained by Guérou et al. (2016) extending to a maximum galactocentric distance of ${\sim } {120}{\, {\rm arcsec}}\ \left({5.6}\, {\rm kpc}\right)$ along the major axis, corresponding to ∼2.5Re. Our method first identifies ‘families’ of orbits from the dynamical model that represent dynamicall

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Hamers, Adrian S. "A census of main-sequence interactions in the Multiple Star Catalogue." Monthly Notices of the Royal Astronomical Society 494, no. 4 (2020): 5298–313. http://dx.doi.org/10.1093/mnras/staa1130.

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ABSTRACT Statistics of hierarchical systems containing three or more stars are continuously improving. The Multiple Star Catalogue (MSC) is currently the most comprehensive catalogue of multiple-star systems and contains component masses, orbital periods, and additional information. The systems in the MSC are interesting for several reasons, including the long-term dynamical evolution of few-body systems. Although the secular evolution of triples and quadruples has been explored before, a systematic study of the systems in the MSC including also quintuples and sextuples has not been carried ou

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Walton, Daniel B., Alex Hall, Neil Berg, Marla Schwartz, and Fengpeng Sun. "Incorporating Snow Albedo Feedback into Downscaled Temperature and Snow Cover Projections for California’s Sierra Nevada." Journal of Climate 30, no. 4 (2017): 1417–38. http://dx.doi.org/10.1175/jcli-d-16-0168.1.

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Abstract California’s Sierra Nevada is a high-elevation mountain range with significant seasonal snow cover. Under anthropogenic climate change, amplification of the warming is expected to occur at elevations near snow margins due to snow albedo feedback. However, climate change projections for the Sierra Nevada made by global climate models (GCMs) and statistical downscaling methods miss this key process. Dynamical downscaling simulates the additional warming due to snow albedo feedback. Ideally, dynamical downscaling would be applied to a large ensemble of 30 or more GCMs to project ensemble

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Sapsis, Themistoklis P., and Pierre F. J. Lermusiaux. "Dynamically orthogonal field equations for continuous stochastic dynamical systems." Physica D: Nonlinear Phenomena 238, no. 23-24 (2009): 2347–60. http://dx.doi.org/10.1016/j.physd.2009.09.017.

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33

KIM, SANG PYO. "DYNAMICAL THEORY OF PHASE TRANSITIONS AND COSMOLOGICAL EW AND QCD PHASE TRANSITIONS." Modern Physics Letters A 23, no. 17n20 (2008): 1325–35. http://dx.doi.org/10.1142/s0217732308027692.

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We critically review the cosmological EW and QCD phase transitions. The EW and QCD phase transitions would have proceeded dynamically since the expansion of the universe determines the quench rate and critical behaviors at the onset of phase transition slow down the phase transition. We introduce a real-time quench model for dynamical phase transitions and describe the evolution using a canonical real-time formalism. We find the correlation function, the correlation length and time and then discuss the cosmological implications of dynamical phase transitions on EW and QCD phase transitions in

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34

French, Robert M., and Elizabeth Thomas. "The dynamical hypothesis: One battle behind." Behavioral and Brain Sciences 21, no. 5 (1998): 640–41. http://dx.doi.org/10.1017/s0140525x98361737.

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What new implications does the dynamical hypothesis have for cognitive science? The short answer is: none. The target article is basically an attack on traditional symbolic artificial intelligence (AI) and differs very little from prior connectionist criticisms of it. For the past 10 years, the connectionist community has been well aware of the necessity of using (and understanding) dynamically evolving, recurrent network models of cognition.

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Dresbach, F., D. Massari, B. Lanzoni, et al. "Blue Stragglers as Tracers of the Dynamical State of Two Clusters in the Small Magellanic Cloud: NGC 339 and NGC 419." Astrophysical Journal 928, no. 1 (2022): 47. http://dx.doi.org/10.3847/1538-4357/ac5406.

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Abstract The level of central segregation of Blue Straggler stars has proved to be an excellent tracer of the dynamical evolution of old star clusters (the so-called “dynamical clock”), both in the Milky Way and in the Large Magellanic Cloud. The A + parameter, used to measure the Blue Stragglers degree of segregation, has in fact been found to strongly correlate with the parent cluster central relaxation time. Here, we have studied the Blue Straggler population of two young stellar systems in the Small Magellanic Cloud, namely NGC 339 (which is 6 Gyr old) and NGC 419 (with an age of only 1.5

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Fuchs, B., R. Wielen, and S. von Linden. "Dynamical Stability and Dynamical Evolution of the Disks of Sc Galaxies." Symposium - International Astronomical Union 171 (1996): 377. http://dx.doi.org/10.1017/s0074180900232968.

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We give a detailed description of the dynamical interaction of the stellar and gaseous components of a galactic disk. The stability of the two-component system against axisymmetric density perturbations is analyzed and the critical velocity dispersions of the stars and the gas, which control the instability, are determined. By comparison with the observed velocity dispersions it is shown that NGC 6946, a typical Sc galaxy, seems to be stable in the outer parts of the disk, but is dynamically unstable in the inner parts. The transition occurs exactly at the HII region disk boundary, so that the

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Villani, Marco, Luca La Rocca, Stuart Alan Kauffman, and Roberto Serra. "Dynamical Criticality in Gene Regulatory Networks." Complexity 2018 (October 4, 2018): 1–14. http://dx.doi.org/10.1155/2018/5980636.

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A well-known hypothesis, with far-reaching implications, is that biological evolution should preferentially lead to states that are dynamically critical. In previous papers, we showed that a well-known model of genetic regulatory networks, namely, that of random Boolean networks, allows one to study in depth the relationship between the dynamical regime of a living being’s gene network and its response to permanent perturbations. In this paper, we analyze a huge set of new experimental data on single gene knockouts in S. cerevisiae, laying down a statistical framework to determine its dynamica

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KADTKE, JAMES B., JEFFREY BRUSH, and JOACHIM HOLZFUSS. "GLOBAL DYNAMICAL EQUATIONS AND LYAPUNOV EXPONENTS FROM NOISY CHAOTIC TIME SERIES." International Journal of Bifurcation and Chaos 03, no. 03 (1993): 607–16. http://dx.doi.org/10.1142/s0218127493000507.

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We discuss the extraction of few-parameter, global dynamical models from noisy time series of chaotic systems. In particular, we consider the class of models which are approximations to sets of dynamical equations in the reconstructed phase space. We show that certain numerical methods significantly improve the quality of the resulting models, and central to these methods is the idea of eliminating model terms which are “dynamically insignificant” and add only numerical noise. For the purposes of the paper, we quantify model quality by the rather strict measure of its ability to recover the dy

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Oey, M. S., J. Dorigo Jones, G. D. Phillips, N. Castro, M. M. Dallas, and M. Moe. "Dynamical vs Supernova Acceleration of OB Stars in the Small Magellanic Cloud." Proceedings of the International Astronomical Union 18, S361 (2022): 82–87. http://dx.doi.org/10.1017/s1743921322002757.

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AbstractWe use the RIOTS4 sample of SMC field OB stars to determine the origin of massive runaways in this low-metallicity galaxy using Gaia proper motions, together with stellar masses obtained from RIOTS4 data. These data allow us to estimate the relative contributions of stars accelerated by the dynamical ejection vs binary supernova mechanisms, since dynamical ejection favors faster, more massive runaways, while SN ejection favors the opposite trend. In addition, we use the frequencies of classical OBe stars, high-mass X-ray binaries, and non-compact binaries to discriminate between the me

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Belloni, Diogo, Mirek Giersz, Liliana E. Rivera Sandoval, Abbas Askar, and Pawel Ciecielag. "Are most Cataclysmic Variables in Globular Clusters dynamically formed?" Proceedings of the International Astronomical Union 14, S351 (2019): 404–7. http://dx.doi.org/10.1017/s174392131900718x.

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AbstractWe have been investigating populations of cataclysmic variables (CVs) in a set of more than 300 globular cluster (GC) models evolved with themoccacode.[-120pt] One of the main questions we have intended to answer is whether most CVs in GCs are dynamically formed or not. Contrary to what has been argued for a long time, we found that dynamical destruction of primordial CV progenitors is much stronger in GCs than dynamical formation of CVs. In particular, we found that, on average, the detectable CV population is predominantly composed of CVs formed via a typical common envelope phase (≳

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Çam, Necda, and Ümit Akıncı. "Effect of the dipolar interaction on the dynamic hysteresis properties of 2D-nanodisks: out of plane driving field case." Physica Scripta 98, no. 12 (2023): 125976. http://dx.doi.org/10.1088/1402-4896/ad0d98.

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Abstract We have systematically investigated the effect of dipolar interaction strength on the dynamical hysteresis behavior of the in-plane uniaxial anisotropic nanodisk system modeled by the classical Heisenberg model under the effect of the time-dependent external out-of-plane periodic magnetic field. Dynamical hysteresis loops, as well as hysteresis quantities (hysteresis loop area, coercive field, remanent magnetization), have been examined both in-plane and out-of-plane magnetization components by means of Monte Carlo simulation based on Metropolis Algorithm. Our simulation results sugge

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Ferrero, Renata, and Roberto Percacci. "Dynamical diffeomorphisms." Classical and Quantum Gravity 38, no. 11 (2021): 115011. http://dx.doi.org/10.1088/1361-6382/abf627.

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43

Hornstein, John, and V. I. Arnold. "Dynamical Systems." American Mathematical Monthly 96, no. 9 (1989): 861. http://dx.doi.org/10.2307/2324864.

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44

Chillingworth, D. R. J., D. K. Arrowsmith, and C. M. Place. "Dynamical Systems." Mathematical Gazette 79, no. 484 (1995): 233. http://dx.doi.org/10.2307/3620112.

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45

Debastiani, V. R., E. Oset, J. M. Dias, and H. W. Liang. "Dynamical Hadrons." Acta Physica Polonica B Proceedings Supplement 11, no. 3 (2018): 475. http://dx.doi.org/10.5506/aphyspolbsupp.11.475.

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Deutch, J. M. "Dynamical catalysis." Journal of Chemical Physics 108, no. 3 (1998): 937–42. http://dx.doi.org/10.1063/1.475457.

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BROWN, RAY, and LEON O. CHUA. "DYNAMICAL INTEGRATION." International Journal of Bifurcation and Chaos 03, no. 01 (1993): 217–22. http://dx.doi.org/10.1142/s0218127493000179.

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In this letter we show how to use a new form of integration, called dynamical integration, that utilizes the dynamics of a system defined by an ODE to construct a map that is in effect a one-step integrator. This method contrasts sharply with classical numerical methods that utilize polynomial or rational function approximations to construct integrators. The advantages of this integrator is that it uses only one step while preserving important dynamical properties of the solution of the ODE: First, if the ODE is conservative, then the one-step integrator is measure preserving. This is signific

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Dai, Xi. "Dynamical anomaly." Nature Physics 16, no. 4 (2020): 374. http://dx.doi.org/10.1038/s41567-020-0844-6.

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Németh, J., G. Papp, C. Ngô, and M. Barranco. "Dynamical Multifragmentation." Physica Scripta T32 (January 1, 1990): 160–64. http://dx.doi.org/10.1088/0031-8949/1990/t32/026.

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MACKEY, MICHAEL C., and JOHN G. MILTON. "Dynamical Diseases." Annals of the New York Academy of Sciences 504, no. 1 Perspectives (1987): 16–32. http://dx.doi.org/10.1111/j.1749-6632.1987.tb48723.x.

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