Results 21 to 30 of about 317 (164)

Entropies of nonautonomous dynamical systems

Discrete and Continuous Dynamical Systems - Series S
Guohua Zhang
exaly   +2 more sources

Entropy of Nonautonomous Dynamical Systems [PDF]

, 2018
Different notions of entropy play a fundamental role in the classical theory of dynamical systems. Unlike many other concepts used to analyze autonomous dynamics, both measure-theoretic and topological entropy can be extended quite naturally to discrete-time nonautonomous dynamical systems given in the process formulation.
openaire   +2 more sources

Nonautonomous Discrete Neuron Model with Multiple Periodic and Eventually Periodic Solutions

Discrete Dynamics in Nature and Society, 2015
We introduce a nonautonomous discrete neuron model based on the Rulkov map and investigate its dynamics. Using both the linear stability and bifurcation analyses of the system of piecewise difference equations, we determine dynamical bifurcations and ...
Alexander N. Pisarchik, Michael A. Radin, Ryan Vogt   +2 more
doaj   +1 more source

Metric Entropy of Nonautonomous Dynamical Systems [PDF]

Nonautonomous Dynamical Systems, 2013
Abstract We introduce the notion of metric entropy for a nonautonomous dynamical system given by a sequence (Xn; μn) of probability spaces and a sequence of measurable maps fn : Xn → Xn+1 with fnμn = μn+1. This notion generalizes the classical concept of metric entropy established by Kolmogorov and Sinai, and is related via a ...
openaire   +6 more sources

Regularity and Exponential Growth of Pullback Attractors for Semilinear Parabolic Equations Involving the Grushin Operator

Abstract and Applied Analysis, 2012
Considered here is the first initial boundary value problem for a semilinear degenerate parabolic equation involving the Grushin operator in a bounded domain Ω.
Nguyen Dinh Binh
doaj   +1 more source

The Study of Identification Method for Dynamic Behavior of High-Dimensional Nonlinear System

Shock and Vibration, 2019
The dynamic behavior of nonlinear systems can be concluded as chaos, periodicity, and the motion between chaos and periodicity; therefore, the key to study the nonlinear system is identifying dynamic behavior considering the different values of the ...
Pan Fang, Liming Dai, Yongjun Hou, Mingjun Du, Wang Luyou   +4 more
doaj   +1 more source

Modeling the Spread of COVID-19 Using Nonautonomous Dynamical System with Simplex Algorithm-Based Optimization for Time-Varying Parameters

Journal of Mathematics, 2023
The SIRDV (Susceptible, Infected, Recovered, Death, Vaccinated) compartmental model along with time-varying parameters is used to model the spread of COVID-19 in the United States. Time-varying parameters account for changes in transmission rates, people’
Kevin Yotongyos, Somchai Sriyab
doaj   +1 more source

A Billingsley type theorem for Bowen topological entropy of nonautonomous dynamical systems

Open Mathematics, 2022
This article is devoted to the study of the Bowen topological entropy for nonautonomous dynamical systems, which is an extension of the classical definition of Bowen topological entropy. We show that the Bowen topological entropy can be determined by the
Zhang Bin, Liu Lei
doaj   +1 more source

The Ergodicity and Sensitivity of Nonautonomous Discrete Dynamical Systems

Mathematics, 2023
Let (E,h1,∞) be a nonautonomous discrete dynamical system (briefly, N.D.D.S.) that is defined by a sequence (hj)j=1∞ of continuous maps hj:E→E over a nontrivial metric space (E,d). This paper defines and discusses some forms of ergodicity and sensitivity
Risong Li, Tianxiu Lu, Hongqing Wang, Jie Zhou, Xianfeng Ding, Yongjiang Li   +5 more
doaj   +1 more source

Dynamical behavior of a general non-autonomous dynamical system

Applied General Topology
In this work, we investigate dynamical notions such as minimality, almost periodicity, equicontinuity, transitivity, proximality and periodicity for a general non-autonomous dynamical system.
Sushmita Yadav, Puneet Sharma
doaj   +1 more source