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Chaos in discrete production systems?
Journal of Manufacturing Systems, 2002In literature, several cases are reported of models of discrete non-stochastic production systems that show irregular, apparently chaotic behavior. In this paper a number of these cases are analyzed, and the irregular behavior is attributed to (1) chaotic behavior in hybrid models, (2) chaotic behavior in discrete-event models that use a chaotic map ...
Schmitz, J.P.M. +2 more
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Feedback Anticontrol of Discrete Chaos
International Journal of Bifurcation and Chaos, 1998In this paper, a simple feedback control design method earlier proposed by us for discrete-time dynamical systems is proved to be a mathematically rigorous approach for anticontrol of chaos, in the sense that any given discrete-time dynamical system can be made chaotic by the designed state-feedback controller along with the mod-operations.
Chen, Guanrong, Lai, Dejian
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Chaos in Periodic Discrete Systems
International Journal of Bifurcation and Chaos, 2015This paper focuses on chaos in periodic discrete systems, whose state space may vary with time. Some close relationships between some chaotic dynamical behaviors of a periodic discrete system and its autonomous induced system are given. Based on these relationships, several criteria of chaos are established and some sufficient conditions for no chaos ...
Shi, Yuming +3 more
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Chaos in a Discrete Cancer Model
Journal of Applied Nonlinear Dynamics, 2022Summary: In this paper, we construct and analyse a discrete cancer mathematical model. Essential dynamic properties such as positivity and boundedness of solutions are discussed. Using the Lyapunov stability theorem, we prove that one of the tumor-free equilibria is globally asymptotically stable.
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IEEE Transactions on Circuits and Systems I: Regular Papers, 2006
We propose a definition of the discrete Lyapunov exponent for an arbitrary permutation of a finite lattice. For discrete-time dynamical systems, it measures the local (between neighboring points) average spreading of the system. We justify our definition by proving that, for large classes of chaotic maps, the corresponding discrete Lyapunov exponent ...
L. Kocarev +3 more
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We propose a definition of the discrete Lyapunov exponent for an arbitrary permutation of a finite lattice. For discrete-time dynamical systems, it measures the local (between neighboring points) average spreading of the system. We justify our definition by proving that, for large classes of chaotic maps, the corresponding discrete Lyapunov exponent ...
L. Kocarev +3 more
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ON FEEDBACK ANTICONTROL OF DISCRETE CHAOS
International Journal of Bifurcation and Chaos, 1999In this Letter, we prove that the algorithm of Chen and Lai [1996, 1997, 1998] for the anticontrol of chaos leads to chaos not only in the sense of Devaney but also in the sense of Li and Yorke, for both linear and nonlinear autonomous systems of any dimensionalities.
Wang, Xiao Fan, Chen, Guanrong
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Discrete Transforms in Quantum Chaos
Bulletin of the Russian Academy of Sciences: Physics, 2021It is shown that when the LiouvilleāArnold theorem is applied to quantum systems, the purely quantum first integrals of motion of the parity type should not be considered when comparing the number of the first integrals to that of the degrees of freedom.
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Chaos, Solitons & Fractals, 2005
When studying the chaotic dynamics of individual members, the following natural questions arise: How does individual chaos affect the chaotic behaviour of the ecosystem dynamics as a whole? And vice versa? Here, the author gives a characterization of topological transitivity for collective dynamics in terms of the weakly mixing property for individual ...
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When studying the chaotic dynamics of individual members, the following natural questions arise: How does individual chaos affect the chaotic behaviour of the ecosystem dynamics as a whole? And vice versa? Here, the author gives a characterization of topological transitivity for collective dynamics in terms of the weakly mixing property for individual ...
openaire +1 more source

