Results 41 to 50 of about 608 (201)

Structure and bifurcation of pullback attractors in a non-autonomous Chafee-Infante equation [PDF]

open access: yes, 2011
The Chafee-Infante equation is one of the canonical infinite-dimensional dynamical systems for which a complete description of the global attractor is available.
Carvalho, A. N.   +8 more
core   +1 more source

Nonautonomous Discrete Neuron Model with Multiple Periodic and Eventually Periodic Solutions

open access: yesDiscrete 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   +2 more
doaj   +1 more source

Entropies of nonautonomous dynamical systems

open access: yesDiscrete and Continuous Dynamical Systems - Series S
Guohua Zhang
exaly   +2 more sources

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

open access: yesAbstract 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

open access: yesShock 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   +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

open access: yesJournal 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

Sensitive dependence for nonautonomous discrete dynamical systems [PDF]

open access: yes, 2018
Given a nonautonomous discrete dynamical system (NDS) we show that transitivity and density of periodic points do not imply sensitivity in general, i.e., in the definition of Devaney chaos there are no redundant conditions for NDS.
Murillo-Arcila, Marina   +8 more
core   +1 more source

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

open access: yesOpen 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

Synchronization of dissipative dynamical systems driven by non-Gaussian Lévy noises

open access: yes, 2010
Dynamical systems driven by Gaussian noises have been considered extensively in modeling, simulation, and theory. However, complex systems in engineering and science are often subject to non-Gaussian fluctuations or uncertainties.
Kloeden, Peter E.   +3 more
core   +1 more source

Dynamical behavior of a general non-autonomous dynamical system

open access: yesApplied 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

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