Results 21 to 30 of about 6,032 (198)

On attractors, spectra and bifurcations of random dynamical systems [PDF]

open access: yes, 2015
In this thesis a number of related topics in random dynamical systems theory are studied: local attractors and attractor-repeller pairs, the exponential dichotomy spectrum and bifurcation theory.
Callaway, Mark
core   +1 more source

On the stability of nonautonomous binary dynamical systems of partial differential equations

open access: yesAtti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2013
Nonlinear nonautonomoua binary reaction-diffusion dynamical systems of partial differential equations (PDE) are considered. Stability criteria - via a nonautonomous L²-energy - are obtained.
Salvatore Rionero
doaj   +1 more source

Mathematical analysis of an epidemic model with direct and indirect transmission modes and two delays

open access: yesNonautonomous Dynamical Systems, 2023
In this article, we consider an epidemiological model in which we take into account the effects of direct and indirect transmissions. The first mode occurs through direct contact between infectious and susceptible individuals, and the second one will ...
Najm Fatiha   +4 more
doaj   +1 more source

The stability of nonlinear delay integro-differential equations in the sense of Hyers-Ulam

open access: yesNonautonomous Dynamical Systems, 2023
In this study, an initial-value problem for a nonlinear Volterra functional integro-differential equation on a finite interval was considered. The nonlinear term in the equation contains multiple time delays.
Graef John R.   +3 more
doaj   +1 more source

A Theoretical Framework for Lagrangian Descriptors [PDF]

open access: yes, 2017
This paper provides a theoretical background for Lagrangian Descriptors (LDs). The goal of achieving rigourous proofs that justify the ability of LDs to detect invariant manifolds is simplified by introducing an alternative definition for LDs.
Balibrea-Iniesta, Francisco   +4 more
core   +3 more sources

Attractors for Nonautonomous Multivalued Evolution Systems Generated by Time-Dependent Subdifferentials

open access: yesAbstract and Applied Analysis, 2002
In a real separable Hilbert space, we consider nonautonomous evolution equations including time-dependent subdifferentials and their nonmonotone multivalued perturbations.
Noriaki Yamazaki
doaj   +1 more source

Lagrangian Descriptors for Stochastic Differential Equations: A Tool for Revealing the Phase Portrait of Stochastic Dynamical Systems [PDF]

open access: yes, 2016
In this paper we introduce a new technique for depicting the phase portrait of stochastic differential equations. Following previous work for deterministic systems, we represent the phase space by means of a generalization of the method of Lagrangian ...
Balibrea-Iniesta, Francisco   +3 more
core   +3 more sources

Controllability and Observability of Nonautonomous Riesz-Spectral Systems

open access: yesAbstract and Applied Analysis, 2018
There are many industrial and biological reaction diffusion systems which involve the time-varying features where certain parameters of the system change during the process.
Sutrima Sutrima   +2 more
doaj   +1 more source

(ω, c)- Pseudo almost periodic distributions

open access: yesNonautonomous Dynamical Systems, 2020
The paper is a study of the (w, c) −pseudo almost periodicity in the setting of Sobolev-Schwartz distributions. We introduce the space of (w, c) −pseudo almost periodic distributions and give their principal properties.
Khalladi Mohammed Taha   +1 more
doaj   +1 more source

Transport in Transitory Dynamical Systems [PDF]

open access: yes, 2010
We introduce the concept of a "transitory" dynamical system---one whose time-dependence is confined to a compact interval---and show how to quantify transport between two-dimensional Lagrangian coherent structures for the Hamiltonian case.
B. A. Mosovsky, J. D. Meiss, Kaper T. J.
core   +1 more source

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