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Hidden Attractors in Discrete Dynamical Systems. [PDF]
Entropy (Basel), 2021 Research using chaos theory allows for a better understanding of many phenomena modeled by means of dynamical systems. The appearance of chaos in a given process can lead to very negative effects, e.g., in the construction of bridges or in systems based on chemical reactors.
Berezowski M, Lawnik M.
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Geometric phases in discrete dynamical systems [PDF]
Physics Letters A, 2016 In order to study the behaviour of discrete dynamical systems under adiabatic cyclic variations of their parameters, we consider discrete versions of adiabatically-rotated rotators. Paralleling the studies in continuous systems, we generalize the concept of geometric phase to discrete dynamics and investigate its presence in these rotators.
Julyan H. E. Cartwright +4 more
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Lagrangian reduction of nonholonomic discrete mechanical systems [PDF]
J. Geom. Mech. 2, No. 1, 69-111 (2010), 2010 In this paper we propose a process of lagrangian reduction and reconstruction for nonholonomic discrete mechanical systems where the action of a continuous symmetry group makes the configuration space a principal bundle.
Fernandez, Javier +2 more
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Experimenting with discrete dynamical systems
Journal of Difference Equations and Applications, 2023 We demonstrate the power of Experimental Mathematics and Symbolic Computation to study intriguing problems on rational difference equations, studied extensively by Difference Equations giants, Saber Elaydi and Gerry Ladas (and their students and collaborators).
Spahn, George, Zeilberger, Doron
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Discrete Dynamics in Transportation System [PDF]
Discrete Dynamics in Nature and Society, 2013 [Wang, Wuhong] Beijing Inst Technol, Dept Transportat Engn, Beijing 100081, Peoples R China. [Bengler, Klaus] Tech Univ Munich, Lehrstuhl Ergon, D-85747 Munich, Germany. [Wets, Geert] Hasselt Univ, Transportat Res Inst IMOB, B-3590 Diepenbeek, Belgium.
Wang, Wuhong +2 more
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Chaos for Discrete Dynamical System [PDF]
Journal of Applied Mathematics, 2013 We prove that a dynamical system is chaotic in the sense of Martelli and Wiggins, when it is a transitive distributively chaotic in a sequence. Then, we give a sufficient condition for the dynamical system to be chaotic in the strong sense of Li-Yorke. We also prove that a dynamical system is distributively chaotic in a sequence, when it is chaotic in ...
Wang, Lidong, Liu, Heng, Gao, Yuelin
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Discrete Dynamical Systems: A Brief Survey [PDF]
, 2018 Dynamical system is a mathematical formalization for any fixed rule that is described in time dependent fashion. The time can be measured by either of the number systems - integers, real numbers, complex numbers.
Fernandes, S. +4 more
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Discrete dynamical systems in group theory [PDF]
, 2013 In this expository paper we describe an unifying approach for many known entropies in Mathematics. First we recall the notion of semigroup entropy h_S in the category S of normed semigroups and contractive homomorphisms, recalling also its properties ...
Bruno, Anna Giordano, Dikranjan, Dikran
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Nonsmooth stabilizability and feedback linearization of discrete-time nonlinear systems [PDF]
, 1996 We consider the problem of stabilizing a discrete-time nonlinear system using a feedback which is not necessarily smooth. A sufficient condition for global dynamical stabilizability of single-input triangular systems is given.
Nijmeijer, H., Simoes, C., Tsinias, J.
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Preservation of shadowing in discrete dynamical systems [PDF]
Journal of Mathematical Analysis and Applications, 2020 39 ...
Good, Chris, Mitchell, Joel, Thomas, Joe
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