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Journal articles on the topic 'Rössler'

Author: Grafiati

Published: 4 June 2021

Last updated: 12 February 2022

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1

Scarponi, Danny. "The realization of the degree zero part of the motivic polylogarithm on abelian schemes in Deligne–Beilinson cohomology." International Journal of Number Theory 13, no. 09 (September 20, 2017): 2471–85. http://dx.doi.org/10.1142/s1793042117501378.

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In 2014, Kings and Rössler showed that the realization of the degree zero part of the abelian polylogarithm in analytic Deligne cohomology can be described in terms of a class of currents which was previously defined by Maillot and Rössler and strongly related to the Bismut–Köhler higher torsion form of the Poincaré bundle. In this paper we show that, if the base of the abelian scheme is proper, Kings and Rössler’s result can be refined to hold already in Deligne–Beilinson cohomology. More precisely, by means of Burgos’ theory of arithmetic Chow groups, we prove that the class of currents defined by Maillot and Rössler has a representative with logarithmic singularities at the boundary and therefore defines an element in Deligne–Beilinson cohomology. This element coincides with the realization of the degree zero part of the motivic polylogarithm on abelian schemes in Deligne–Beilinson cohomology.

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2

Fannon, Dominic. "Wulf Rössler." Psychiatric Bulletin 29, no. 8 (August 2005): 320. http://dx.doi.org/10.1192/pb.29.8.320.

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3

DENG, BO. "SPIRAL-PLUS-SADDLE ATTRACTORS AND ELEMENTARY MECHANISMS FOR CHAOS GENERATION." International Journal of Bifurcation and Chaos 06, no. 03 (March 1996): 513–27. http://dx.doi.org/10.1142/s0218127496000229.

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Rössler's spiral-plus-saddle (SPS) mechanism for chaotic attractors is systematically implemented. The method is based on the works of Rössler [1976, 1979] and Deng [1994]. Some more complex chaotic structures are also investigated experimentally when the SPS, branching, and relaxation-folding mechanisms for chaos generation are combined.

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4

Markoski, Gjorgji. "BIFURCATION ANALYSIS OF FRACTIONAL ORDER RÖSSLER SYSTEM ORDER RÖSSLER SYSTEM." Математички билтен/BULLETIN MATHÉMATIQUE DE LA SOCIÉTÉ DES MATHÉMATICIENS DE LA RÉPUBLIQUE MACÉDOINE, no. 1 (2018): 28–37. http://dx.doi.org/10.37560/matbil18100028m.

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5

Wu, Ranchao, and Xiang Li. "Hopf Bifurcation Analysis and Anticontrol of Hopf Circles of the Rössler-Like System." Abstract and Applied Analysis 2012 (2012): 1–16. http://dx.doi.org/10.1155/2012/341870.

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A new Rössler-like system is constructed by the linear feedback control scheme in this paper. As well, it exhibits complex dynamical behaviors, such as bifurcation, chaos, and strange attractor. By virtue of the normal form theory, its Hopf bifurcation and stability are investigated in detail. Consequently, the stable periodic orbits are bifurcated. Furthermore, the anticontrol of Hopf circles is achieved between the new Rössler-like system and the original Rössler one via a modified projective synchronization scheme. As a result, a stable Hopf circle is created in the controlled Rössler system. The corresponding numerical simulations are presented, which agree with the theoretical analysis.

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6

LLIBRE, JAUME, and XIANG ZHANG. "DARBOUX INTEGRABILITY FOR THE RÖSSLER SYSTEM." International Journal of Bifurcation and Chaos 12, no. 02 (February 2002): 421–28. http://dx.doi.org/10.1142/s0218127402004474.

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In this note we characterize all generators of Darboux polynomials of the Rössler system by using weight homogeneous polynomials and the method of characteristic curves for solving linear partial differential equations. As a corollary we prove that the Rössler system is not algebraically integrable, and that every rational first integral is a rational function in the variable x2+y2+2z. Moreover, we characterize the topological phase portrait of the Darboux integrable Rössler system.

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7

Krotz, Friedrich. "Patrick Rössler, Universität Erfurt." Publizistik 49, no. 2 (June 2004): 212–13. http://dx.doi.org/10.1007/s11616-004-0042-z.

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8

Rysak, Andrzej, and Magdalena Gregorczyk. "Differential Transform Method as an Effective Tool for Investigating Fractional Dynamical Systems." Applied Sciences 11, no. 15 (July 28, 2021): 6955. http://dx.doi.org/10.3390/app11156955.

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This study investigates the use of the differential transform method (DTM) for integrating the Rössler system of the fractional order. Preliminary studies of the integer-order Rössler system, with reference to other well-established integration methods, made it possible to assess the quality of the method and to determine optimal parameter values that should be used when integrating a system with different dynamic characteristics. Bifurcation diagrams obtained for the Rössler fractional system show that, compared to the RK4 scheme-based integration, the DTM results are more resistant to changes in the fractionality of the system.

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9

XIE, QINGXIAN, and GUANRONG CHEN. "SYNCHRONIZATION STABILITY ANALYSIS OF THE CHAOTIC RÖSSLER SYSTEM." International Journal of Bifurcation and Chaos 06, no. 11 (November 1996): 2153–61. http://dx.doi.org/10.1142/s0218127496001429.

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In this paper we show, both analytically and experimentally, that the Rössler system synchronization is either asymptotically stable or orbitally stable within a wide range of the system key parameters. In the meantime, we provide some simple sufficient conditions for synchronization stabilities of the Rössler system in a general situation. Our computer simulation shows that the type of stability of the synchronization is very sensitive to the initial values of the two (drive and response) Rössler systems, especially for higher-periodic synchronizing trajectories, which is believed to be a fundamental characteristic of chaotic synchronization that preserves the extreme sensitivity to initial conditions of chaotic systems.

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10

YAN, ZHENYA, and PEI YU. "GLOBALLY EXPONENTIAL HYPERCHAOS (LAG) SYNCHRONIZATION IN A FAMILY OF MODIFIED HYPERCHAOTIC RÖSSLER SYSTEMS." International Journal of Bifurcation and Chaos 17, no. 05 (May 2007): 1759–74. http://dx.doi.org/10.1142/s0218127407018063.

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In this paper, we consider a new family of modified hyperchaotic Rössler systems, recently studied by Nikolov and Clodong using proper nonlinear feedback controllers. Particular attention is given to (i) globally exponential lag synchronization (GELS) for τ > 0; and (ii) globally exponential synchronization (GES) for τ = 0. As a representative example, one system of the family of modified hyperchaotic Rössler systems is particularly studied, and Lyapunov stability criteria for the GELS and GES are derived via eight families of proper nonlinear feedback controllers. Moreover, we also present some nonlinear feedback control laws for other modified hyperchaotic Rössler systems. Numerical simulations are used to illustrate the theoretical results.

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11

Gupta, M. K., and C. K. Yadav. "Jacobi Stability Analysis of Rössler System." International Journal of Bifurcation and Chaos 27, no. 04 (April 2017): 1750056. http://dx.doi.org/10.1142/s0218127417500560.

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In this paper, Rössler system has been studied by using differential geometry method i.e. with KCC-theory. We obtained the deviation tensor and its eigenvalue which determine the stability of Rössler system. We also consider the time evolution of the components of deviation tensor and deviation vector near the equilibrium points.

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12

Sun, Jitao, and Yinping Zhang. "Impulsive control of Rössler systems." Physics Letters A 306, no. 5-6 (January 2003): 306–12. http://dx.doi.org/10.1016/s0375-9601(02)01499-8.

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13

Beck, Klaus. "Patrick Rössler nach Erfurt berufen." Publizistik 45, no. 2 (June 2000): 226. http://dx.doi.org/10.1007/s11616-000-0084-9.

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14

He, Ping, and Tao Fan. "Delay-independent stabilization of nonlinear systems with multiple time-delays and its application in chaos synchronization of Rössler system." International Journal of Intelligent Computing and Cybernetics 9, no. 2 (June 13, 2016): 205–16. http://dx.doi.org/10.1108/ijicc-02-2016-0008.

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Purpose – The purpose of this paper is with delay-independent stabilization of nonlinear systems with multiple time-delays and its application in chaos synchronization of Rössler system. Design/methodology/approach – Based on linear matrix inequality and algebra Riccati matrix equation, the stabilization result is derived to guarantee asymptotically stable and applicated in chaos synchronization of Rössler chaotic system with multiple time-delays. Findings – A controller is designed and added to the nonlinear system with multiple time-delays. The stability of the nonlinear system at its zero equilibrium point is guaranteed by applying the appropriate controller signal based on linear matrix inequality and algebra Riccati matrix equation scheme. Another effective controller is also designed for the global asymptotic synchronization on the Rössler system based on the structure of delay-independent stabilization of nonlinear systems with multiple time-delays. Numerical simulations are demonstrated to verify the effectiveness of the proposed controller scheme. Originality/value – The introduced approach is interesting for delay-independent stabilization of nonlinear systems with multiple time-delays and its application in chaos synchronization of Rössler system.

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15

ZHANG, XIANG. "EXPONENTIAL FACTORS AND DARBOUX INTEGRABILITY FOR THE RÖSSLER SYSTEM." International Journal of Bifurcation and Chaos 14, no. 12 (December 2004): 4275–83. http://dx.doi.org/10.1142/s0218127404011922.

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We characterize all generators of the exponential factors for the Rössler system by using weight homogeneous polynomials and the method of characteristic curves for solving linear partial differential equations. Moreover, using Darboux polynomials and exponential factors we obtain the necessary and sufficient conditions in order that the Rössler system has a Darboux first integral.

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16

Wang, Xiaoying, Fei Jiang, and Junping Yin. "Existence and Uniqueness of the Solution of Lorentz-Rössler Systems with Random Perturbations." Abstract and Applied Analysis 2013 (2013): 1–14. http://dx.doi.org/10.1155/2013/480259.

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We consider a new chaotic system based on merging two well-known systems (the Lorentz and Rössler systems). Meanwhile, taking into account the effect of environmental noise, we incorporate whit-enoise in each equation. We prove the existence, uniqueness, and the moments estimations of the Lorentz-Rössler systems. Numerical experiments show the applications of our systems and illustrate the results.

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17

YU, YONG-GUANG, HAN-XIONG LI, and JUN-ZHI YU. "THE HYBRID FUNCTION PROJECTIVE SYNCHRONIZATION OF CHAOTIC SYSTEMS." International Journal of Modern Physics C 20, no. 05 (May 2009): 789–97. http://dx.doi.org/10.1142/s0129183109013972.

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This paper mainly investigated a hybrid function projective synchronization of two different chaotic systems. Based on the Lyapunov stability theory, an adaptive controller for the synchronization of two different chaotic systems is designed. This technique is applied to achieve the synchronization between Lorenz and Rössler chaotic systems, and the synchronization of hyperchaotic Rössler and Chen systems. The numerical simulation results illustrate the effectiveness and feasibility of the proposed scheme.

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18

Alharbey, Rania A., and Kiran Sultan. "Evolutionary Algorithm Based Solution of Rössler Chaotic System Using Bernstein Polynomials." Journal of Computational and Theoretical Nanoscience 17, no. 7 (July 1, 2020): 2932–39. http://dx.doi.org/10.1166/jctn.2020.9272.

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Chaotic systems have gained enormous research attention since the pioneering work of Lorenz. Rössler system stands among the extensively studied classical chaotic models. This paper proposes a technique based on Bernstein Polynomial Basis Function to convert the three-dimensional Rössler system of Ordinary Differential Equations (ODEs) into an error minimization problem. First, the properties of Bernstein Polynomials are applied to derive the fitness function of Rössler chaotic system. Second, in order to obtain the values of unknown Bernstein coefficients to optimize the fitness function, the problem is solved using two versatile algorithms from the family of Evolutionary Algorithms (EAs), Genetic Algorithm (GA) hybridized with Interior Point Algorithm (IPA) and Differential Algorithm (DE). For validity of the proposed technique, simulation results are provided which verify the global stability of error dynamics and provide accurate estimation of the desired parameters.

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19

WANG, YU-HUI, QING-XIAN WU, CHANG-SHENG JIANG, YA-LI XUE, and WEI FANG. "MODIFIED LEVENBERG-MARQUARDT METHOD FOR RÖSSLER CHAOTIC SYSTEM FUZZY MODELING TRAINING." International Journal of Modern Physics B 23, no. 24 (September 30, 2009): 4953–61. http://dx.doi.org/10.1142/s0217979209053278.

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Generally, fuzzy approximation models require some human knowledge and experience. Operator's experience is involved in the mathematics of fuzzy theory as a collection of heuristic rules. The main goal of this paper is to present a new method for identifying unknown nonlinear dynamics such as Rössler system without any human knowledge. Instead of heuristic rules, the presented method uses the input-output data pairs to identify the Rössler chaotic system. The training algorithm is a modified Levenberg-Marquardt (L-M) method, which can adjust the parameters of each linear polynomial and fuzzy membership functions on line, and do not rely on experts' experience excessively. Finally, it is applied to training Rössler chaotic system fuzzy identification. Comparing this method with the standard L-M method, the convergence speed is accelerated. The simulation results demonstrate the effectiveness of the proposed method.

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20

Sun, Yeong-Jeu. "Nonlinear Observer Design of the Generalized Rössler Hyperchaotic Systems via DIL Methodology." Mathematical Problems in Engineering 2012 (2012): 1–9. http://dx.doi.org/10.1155/2012/764798.

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The generalized Rössler hyperchaotic systems are presented, and the state observation problem of such systems is investigated. Based on the differential inequality with Lyapunov methodology (DIL methodology), a nonlinear observer design for the generalized Rössler hyperchaotic systems is developed to guarantee the global exponential stability of the resulting error system. Meanwhile, the guaranteed exponential decay rate can be accurately estimated. Finally, numerical simulations are provided to illustrate the feasibility and effectiveness of proposed approach.

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21

CAFAGNA, DONATO, and GIUSEPPE GRASSI. "HYPERCHAOS IN THE FRACTIONAL-ORDER RÖSSLER SYSTEM WITH LOWEST-ORDER." International Journal of Bifurcation and Chaos 19, no. 01 (January 2009): 339–47. http://dx.doi.org/10.1142/s0218127409022890.

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This Letter analyzes the hyperchaotic dynamics of the fractional-order Rössler system from a time-domain point of view. The approach exploits the Adomian decomposition method (ADM), which generates series solution of the fractional differential equations. A remarkable finding of the Letter is that hyperchaos occurs in the fractional Rössler system with order as low as 3.12. This represents the lowest order reported in literature for any hyperchaotic system studied so far.

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22

Haller, Dieter. "Kommentarzum Beitrag von Birgitt Röttger-Rössler." Sociologus 60, no. 1 (January 2010): 123–26. http://dx.doi.org/10.3790/soc.60.1.123.

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23

Schareika, Nikolaus. "Kommentarzum Beitrag von Birgitt Röttger-Rössler." Sociologus 60, no. 1 (January 2010): 127–30. http://dx.doi.org/10.3790/soc.60.1.127.

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24

Malykh, Semyon, Yuliya Bakhanova, Alexey Kazakov, Krishna Pusuluri, and Andrey Shilnikov. "Homoclinic chaos in the Rössler model." Chaos: An Interdisciplinary Journal of Nonlinear Science 30, no. 11 (November 2020): 113126. http://dx.doi.org/10.1063/5.0026188.

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25

Meyer, Th, M. J. Bünner, A. Kittel, and J. Parisi. "Hyperchaos in the generalized Rössler system." Physical Review E 56, no. 5 (November 1, 1997): 5069–82. http://dx.doi.org/10.1103/physreve.56.5069.

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26

Tereshko, Valery, and Elena Shchekinova. "Resonant control of the Rössler system." Physical Review E 58, no. 1 (July 1, 1998): 423–26. http://dx.doi.org/10.1103/physreve.58.423.

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27

Rasmussen, J., E. Mosekilde, and C. Reick. "Bifurcations in two coupled Rössler systems." Mathematics and Computers in Simulation 40, no. 3-4 (April 1996): 247–70. http://dx.doi.org/10.1016/0378-4754(95)00036-4.

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28

Khatun, Anjuman Ara, and Haider Hasan Jafri. "Chimeras in multivariable coupled Rössler oscillators." Communications in Nonlinear Science and Numerical Simulation 95 (April 2021): 105661. http://dx.doi.org/10.1016/j.cnsns.2020.105661.

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29

Gierzkiewicz, Anna, and Piotr Zgliczyński. "Periodic orbits in the Rössler system." Communications in Nonlinear Science and Numerical Simulation 101 (October 2021): 105891. http://dx.doi.org/10.1016/j.cnsns.2021.105891.

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30

AL-SAWALHA, M. MOSSA, M. S. M. NOORANI, and I. HASHIM. "NUMERICAL EXPERIMENTS ON THE HYPERCHAOTIC CHEN SYSTEM BY THE ADOMIAN DECOMPOSITION METHOD." International Journal of Computational Methods 05, no. 03 (September 2008): 403–12. http://dx.doi.org/10.1142/s0219876208001571.

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The aim of this paper is to investigate the accuracy of the Adomian decomposition method (ADM) for solving the hyperchaotic Chen system, which is a four-dimensional system of ODEs with quadratic nonlinearities. Comparisons between the decomposition solutions and the fourth order Runge–Kutta (RK4) solutions are made. We look particularly at the accuracy of the ADM as the hyperchaotic Chen system has higher Lyapunov exponents than the hyperchaotic Rössler system. A comparison with the hyperchaotic Rössler system is given.

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31

Meyer, Th, M. J. Bünner, A. Kittel, and J. Parisi. "An Approach to a Generalized Rössler System via Mode Analysis." Zeitschrift für Naturforschung A 50, no. 12 (December 1, 1995): 1135–38. http://dx.doi.org/10.1515/zna-1995-1212.

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Abstract We investigate the generalized Rössler system introduced by Baier and Saale. They have linearly coupled additional degrees of freedom to the original Rössler system in order to construct a set of equations which shows maximum instability at an arbitrary dimension N, i. e., N - 2 positive Lyapunov exponents. We present a transformation into a mode picture. It enables a qualitative understanding of the mechanism generating the dynamics of this complex system. The advantages of our approach are demonstrated for the exemplary case N = 5.

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32

WANG, XING-YUAN, and JUN-MEI SONG. "A SIMPLE OBSERVER OF THE HYPERCHAOTIC RÖSSLER SYSTEM." International Journal of Modern Physics B 24, no. 22 (September 10, 2010): 4325–31. http://dx.doi.org/10.1142/s0217979210055883.

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This paper studies the hyperchaotic Rössler system and the state observation problem of such a system being investigated. Based on the time-domain approach, a simple observer for the hyperchaotic Rössler system is proposed to guarantee the global exponential stability of the resulting error system. The scheme is easy to implement and different from the other observer design that it does not need to transmit all signals of the dynamical system. It is proved theoretically, and numerical simulations show the effectiveness of the scheme finally.

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33

WANG, XINGYUAN, and XINGUANG LI. "ADAPTIVE SYNCHRONIZATION OF UNCERTAIN RÖSSLER SYSTEM BASED ON PARAMETER IDENTIFICATION." International Journal of Modern Physics B 22, no. 23 (September 20, 2008): 3987–95. http://dx.doi.org/10.1142/s0217979208038739.

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Assuming the Rössler system as a reference, this paper studies two cases of chaotic synchronization of a pair of (master and slave) systems: one with fully uncertain parameters for both, the other where the master system has fixed given parameters while the slave system is endowed with uncertain parameters. The respective adaptive controller based on parameter identification is then designed, according to the Lyapunov stability theorem. Then, it is proved that the two controllers are capable of making the two (identical) Rössler systems asymptotically synchronized. Numerical simulation results further testify the efficiency of controllers.

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34

Heusinger von Waldegge, Florian. "Beate Rössler: Autonomie. Ein Versuch über das gelungene Leben." Zeitschrift für philosophische Literatur 5, no. 4 (October 23, 2017): 74–82. http://dx.doi.org/10.21827/zfphl.5.4.35413.

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35

Goodall, Peter. "Theorising the Private Sphere." Cultural Studies Review 11, no. 2 (October 25, 2013): 191–95. http://dx.doi.org/10.5130/csr.v11i2.3668.

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36

Koronovskii, A. A., O. I. Moskalenko, A. A. Pivovarov, and A. E. Hramov. "Establishing generalized synchronization in Rössler oscillator networks." Bulletin of the Russian Academy of Sciences: Physics 80, no. 2 (February 2016): 186–89. http://dx.doi.org/10.3103/s1062873816020131.

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37

Murthy, Karthik, Ian Jordan, Parth Sojitra, Aminur Rahman, and Denis Blackmore. "Generalized Attracting Horseshoe in the Rössler Attractor." Symmetry 13, no. 1 (December 27, 2020): 30. http://dx.doi.org/10.3390/sym13010030.

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We show that there is a mildly nonlinear three-dimensional system of ordinary differential equations—realizable by a rather simple electronic circuit—capable of producing a generalized attracting horseshoe map. A system specifically designed to have a Poincaré section yielding the desired map is described, but not pursued due to its complexity, which makes the construction of a circuit realization exceedingly difficult. Instead, the generalized attracting horseshoe and its trapping region is obtained by using a carefully chosen Poincaré map of the Rössler attractor. Novel numerical techniques are employed to iterate the map of the trapping region to approximate the chaotic strange attractor contained in the generalized attracting horseshoe, and an electronic circuit is constructed to produce the map. Several potential applications of the idea of a generalized attracting horseshoe and a physical electronic circuit realization are proposed.

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38

Maris, Dimitris T., and Dimitris A. Goussis. "The “hidden” dynamics of the Rössler attractor." Physica D: Nonlinear Phenomena 295-296 (March 2015): 66–90. http://dx.doi.org/10.1016/j.physd.2014.12.010.

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39

Barrio, Roberto, M. Angeles Martínez, Sergio Serrano, and Daniel Wilczak. "When chaos meets hyperchaos: 4D Rössler model." Physics Letters A 379, no. 38 (October 2015): 2300–2305. http://dx.doi.org/10.1016/j.physleta.2015.07.035.

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40

Wyman,, Walter E. "Schleiermachers Programm der Philosophischen Theologie. Martin Rössler." Journal of Religion 77, no. 4 (October 1997): 632–33. http://dx.doi.org/10.1086/490082.

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41

Yanchuk, S., and T. Kapitaniak. "Chaos–hyperchaos transition in coupled Rössler systems." Physics Letters A 290, no. 3-4 (November 2001): 139–44. http://dx.doi.org/10.1016/s0375-9601(01)00651-x.

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42

Yanchuk, Sergiy, Yuri Maistrenko, and Erik Mosekilde. "Loss of synchronization in coupled Rössler systems." Physica D: Nonlinear Phenomena 154, no. 1-2 (June 2001): 26–42. http://dx.doi.org/10.1016/s0167-2789(01)00221-4.

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43

Stucki, Jörg W., and Robert Urbanczik. "Entropy Production of the Willamowski-Rössler Oscillator." Zeitschrift für Naturforschung A 60, no. 8-9 (September 1, 2005): 599–9. http://dx.doi.org/10.1515/zna-2005-8-907.

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Some properties of the Willamowski-Rössler model are studied by numerical simulations. From the original equations a minimal version of the model is derived which also exhibits the characteristic properties of the original model. This minimal model shows that it contains the Volterra-Lotka oscillator as a core component. It thus belongs to a class of generalized Volterra-Lotka systems. It has two steady states, a saddle point, responsible for chaos, and a fixed point, dictating its dynamic behaviour. The chaotic attractor is located close to the surface of the basin of attraction of the saddle node. The mean values of the variables are equal to the (unstable) steady state values during oscillations even under chaos, and the variables are always non-negative as in other generalized Volterra-Lotka systems. Surprisingly this was also the case with the original reversible Willamowski-Rössler model allowing to compare the entropy production during oscillations with the entropy production of the steady states. During oscillations the entropy production was always lower even under chaos. Since under these circumstances less energy is dissipated to produce the same output, the oscillating system is more efficient than the non-oscillatory one.

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44

Sakaguchi, Hidetsugu. "Phase transition in globally coupled Rössler oscillators." Physical Review E 61, no. 6 (June 1, 2000): 7212–14. http://dx.doi.org/10.1103/physreve.61.7212.

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45

Szczepaniak, Anna, and Wiesław M. Macek. "Unstable manifolds for the hyperchaotic Rössler system." Physics Letters A 372, no. 14 (March 2008): 2423–27. http://dx.doi.org/10.1016/j.physleta.2007.12.009.

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46

Birgus, Vladimír. "Jaroslav Rössler and the Czech Avant-Garde." History of Photography 23, no. 1 (March 1999): 82–87. http://dx.doi.org/10.1080/03087298.1999.10443803.

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47

Barrio, Roberto, Fernando Blesa, and Sergio Serrano. "Unbounded dynamics in dissipative flows: Rössler model." Chaos: An Interdisciplinary Journal of Nonlinear Science 24, no. 2 (June 2014): 024407. http://dx.doi.org/10.1063/1.4871712.

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48

Cheng, An-Liang, and Yih-Yuh Chen. "Analytical study of funnel type Rössler attractor." Chaos: An Interdisciplinary Journal of Nonlinear Science 27, no. 7 (July 2017): 073117. http://dx.doi.org/10.1063/1.4995962.

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49

Zhang, Qunying, and Canrong Tian. "Pattern dynamics in a diffusive Rössler model." Nonlinear Dynamics 78, no. 2 (June 28, 2014): 1489–501. http://dx.doi.org/10.1007/s11071-014-1530-y.

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Liu, Yong, Qin-sheng Bi, and Yu-shu Chen. "Phase synchronization between nonlinearly coupled Rössler systems." Applied Mathematics and Mechanics 29, no. 6 (June 2008): 697–704. http://dx.doi.org/10.1007/s10483-008-0601-x.

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