Results 41 to 50 of about 1,238,553 (351)

Cohomology of discrete dynamical systems [PDF]

Journal of Mathematics and Technology, 2013
This article presents a detailed treatment of Livschitz theorem for hyperbolic diffeomorphisms. Based on the periodic data, this theorem provides a necessary and sufficient condition so that cohomological equations have sufficiently regular solutions.
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Rich Dynamics Caused by a Fractional Diffusion Operator in Nonchaotic Rulkov Maps

Fractal and Fractional
There are few works about Neimark–Sacker bifurcating analysis on discrete dynamical systems with linear diffusion and delayed coupling under periodic/Neumann-boundary conditions.
Huanqin Hu, Mingshu Peng, Yingfei Qi
doaj   +1 more source

Discrete, sequential dynamical systems

Discrete Mathematics, 2001
AbstractWe study a class of discrete dynamical systems that consists of the following data: (a) a finite loop-free graph Y with vertex set {1,…,n} where each vertex has a binary state, (b) a vertex labeled multi-set of functions (Fi,Y:F2n→F2n)i and (c) a permutation π∈Sn.
Henning S. Mortveit, Henning S. Mortveit, Christian M. Reidys   +2 more
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On the predictability of discrete dynamical systems II [PDF]

Proceedings of the American Mathematical Society, 2001
Given a metrizable compact topological n n -manifold X X with boundary and a metric d d compatible with the topology of X X , we prove that “most” continuous functions f : X → X f : X \to X are non-sensitive at “most” points of
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Discrete Dynamical Systems Embedded in Cantor Sets

, 2006
While the notion of chaos is well established for dynamical systems on manifolds, it is not so for dynamical systems over discrete spaces with $ N $ variables, as binary neural networks and cellular automata.
Alberto Verjovsky, Atkinson K. E., Choquet-Bruhat Y., Devaney R., Fabio Benatti, Federico Zertuche, Hertz J., Kauffman S. A., Pontrjagin L., Weisbuch G., Wiggins S., Wolfram S.   +11 more
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Symmetries of Discrete Dynamical Systems Involving Two Species [PDF]

, 1998
The Lie point symmetries of a coupled system of two nonlinear differential-difference equations are investigated. It is shown that in special cases the symmetry group can be infinite dimensional, in other cases up to 10 dimensional.
D. Gómez-Ullate, Maeda S., Maeda S., P. Winternitz, S. Lafortune   +4 more
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Discrete dynamics of complex systems [PDF]

Discrete Dynamics in Nature and Society, 1997
This article extends the slaving principle of synergetics to processes with discrete time steps. Starting point is a set of nonlinear difference equations which contain multiplicative noise and which refer to multidimensional state vectors. The system depends on a control parameter.
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Dynamical quantum phase transitions in discrete time crystals

, 2018
Discrete time crystals are related to non-equilibrium dynamics of periodically driven quantum many-body systems where the discrete time translation symmetry of the Hamiltonian is spontaneously broken into another discrete symmetry.
Kosior, Arkadiusz, Sacha, Krzysztof
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Discrete Nonholonomic LL Systems on Lie Groups [PDF]

, 2004
This paper applies the recently developed theory of discrete nonholonomic mechanics to the study of discrete nonholonomic left-invariant dynamics on Lie groups. The theory is illustrated with the discrete versions of two classical nonholonomic systems, the Suslov top and the Chaplygin sleigh.
arxiv   +1 more source

Celulární automat a CML systémy [PDF]

, 2018
The main aim of this thesis is the study of cellular automata and discrete dynamical systems on a lattice. Both tools, cellular automata as well as dynamical systems on a lattice are introduced and elementary properties described.
Štula, Václav
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