Results 21 to 30 of about 166 (142)
Topological entropy of nonautonomous piecewise monotone dynamical systems on the interval [PDF]
Fundamenta Mathematicae, 1999 A nonautonomous discrete dynamical system given by a sequence of compact metric spaces \((X_{i})_{i=1}^{\infty}\) and a sequence of continuous maps \((f_{i})_{i=1}^{\infty}\), \(f_{i}: X_{i}\to X_{i+1}\) is considered. In the previous paper [Random Comput. Dyn.
Kolyada, Sergii +2 more
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Parametrization of global attractors experimental observations and turbulence [PDF]
, 2007 This paper is concerned with rigorous results in the theory of turbulence and fluid flow. While derived from the abstract theory of attractors in infinite-dimensional dynamical systems, they shed some light on the conventional heuristic theories of ...
Robinson, James C.
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Topological entropy of nonautonomous dynamical systems on uniform spaces
Journal of Differential Equations, 2023 In this paper, we focus on some properties, calculations and estimations of topological entropy for a nonautonomous dynamical system $(X,f_{0,\infty})$ generated by a sequence of continuous self-maps $f_{0,\infty}=\{f_n\}_{n=0}^{\infty}$ on a compact uniform space $X$. We obtain the relations of topological entropy among $(X, f_{0,\infty})$, its $k$-th
openaire +2 more sources
Nonautonomous dynamics: nonlinear oscillations and global attractors
, 2020 This book emphasizes those topological methods (of dynamical systems) and theories that are useful in the study of different classes of nonautonomous evolutionary equations. The content is developed over six chapters, providing a thorough introduction to
Cheban, David N
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, 2021 This chapter is dedicated to the study of semidynamical systems generated by generalized ordinary differential equations (ODEs). Besides the existence of a local semidynamical system, it shows the existence of an associated impulsive semidynamical system.
Suzete M. Afonso +7 more
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Some results on the entropy of nonautonomous dynamical systems [PDF]
, 2020 In this paper we advance the entropy theory of discrete nonautonomous dynamical systems that was initiated by Kolyada and Snoha in 1996. The first part of the paper is devoted to the measure-theoretic entropy theory of general topological systems.
Christoph Kawan, Yuri Latushkin
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Entropy increase in switching systems
, 2013 The relation between the complexity of a time-switched dynamics and the complexity of its control sequence depends critically on the concept of a non-autonomous pullback attractor.
Giménez, Ángel +7 more
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On an Ortega's principle and the linear stability properties of symmetric periodic responses in MEMS oscillators [PDF]
, 2022 graficas, tablasEn este trabajo se obtiene un novedoso resultado de existencia de respuestas periódicas impares con ciertas propiedades nodales en el contexto de una familia general de osciladores no lineales con simetrías, que en particular tienen ...
Murcia Terranova, Larry
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Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.This paper investigates the application of β‐open sets to the convergence analysis of nonautonomous evolution equations governed by maximal monotone operators in Hilbert spaces. β‐open sets are a class of generalized open sets introduced by Njåstad (1965), which coincides with the class of semiopen sets by Levine (1963).
Boushra Abbas, Simeon Reich
wiley +1 more source
Normalized solutions of the critical Schrödinger–Bopp–Podolsky system with logarithmic nonlinearity
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract In this paper, we study the following critical Schrödinger–Bopp–Podolsky system driven by the p$p$‐Laplace operator and a logarithmic nonlinearity: −Δpu+V(εx)|u|p−2u+κϕu=λ|u|p−2u+ϑ|u|p−2ulog|u|p+|u|p*−2uinR3,−Δϕ+a2Δ2ϕ=4π2u2inR3.$$\begin{equation*} {\begin{cases} -\Delta _p u+\mathcal {V}(\varepsilon x)|u|^{p-2}u+\kappa \phi u=\lambda |u|^{p-2 ...
Sihua Liang +3 more
wiley +1 more source