Results 31 to 40 of about 277,197 (278)

A Turnpike Property of Trajectories of Dynamical Systems with a Lyapunov Function

Games, 2020
In this paper, we study the structure of trajectories of discrete disperse dynamical systems with a Lyapunov function which are generated by set-valued mappings.
Alexander J. Zaslavski
doaj   +1 more source

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
openaire   +4 more sources

Chaos From Switched-Capacitor Circuits: Discrete Maps [PDF]

, 1987
A special-purpose analog computer made of switched-capacitor circuits is presented for analyzing chaos and bifurcation phenomena in nonlinear discrete dynamical systems modeled by discrete maps *n + t = fan)-Experimental results are given for four ...
Huertas Díaz, José Luis, Pérez Verdú, Belén, Rodríguez Vázquez, Ángel Benito, Rueda Rueda, Adoración   +3 more
core   +1 more source

Synchronization in Discrete-Time, Discrete-State Random Dynamical Systems [PDF]

SIAM Journal on Applied Dynamical Systems, 2020
18 pages, 3 ...
Huang, Wen, Qian, Hong, Wang, Shirou, Ye, Felix X.-F., Yi, Yingfei   +4 more
openaire   +2 more sources

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
core   +3 more sources

ALGEBRAIC STRUCTURES ON A SET OF DISCRETE DYNAMICAL SYSTEM AND A SET OF PROFILE

Barekeng
A discrete dynamical system is represented as a directed graph with graph nodes called states that can be seen on the dynamical map. This discrete dynamical system is symbolized by , where  is a finite set of states and the function g  is a function ...
Ananda Ayu Permatasari, Ema Carnia, Asep Kuswandi Supriatna   +2 more
doaj   +1 more source

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

On discrete-time models of network worm propagation generated by quadratic operators

Mathematical Modelling and Analysis, 2023
In this paper we consider the discrete-time dynamical systems generated by network worm propagation models based on the theory of quadratic stochastic operators(QSO).
Fatima Adilova, Uygun Jamilov, Andrejs Reinfelds   +2 more
doaj   +1 more source

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
core   +3 more sources

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
core   +1 more source