Results 31 to 40 of about 608 (201)
Impulses in driving semigroups of nonautonomous dynamical systems: Application to cascade systems
, 2021 In this paper we investigate the long time behavior of a nonautonomous dynamical system (cocycle) when its driving semigroup is subjected to impulses. We provide conditions to ensure the existence of global attractors for the associated impulsive skew ...
Bonotto, Everaldo de Mello +3 more
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Physics-Informed Machine Learning for Power Grid Frequency Modeling
PRX Energy, 2023 The operation of power systems is affected by diverse technical, economic, and social factors. Social behavior determines load patterns, electricity markets regulate the generation, and weather-dependent renewables introduce power fluctuations.
Johannes Kruse +3 more
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Morse decomposition for gradient-like multi-valued autonomous and nonautonomous dynamical systems [PDF]
, 2020 In this paper, we first prove that the property of being a gradientlike general dynamical system and the existence of a Morse decomposition are equivalent. Next, the stability of gradient-like general dynamical systems is analyzed.
Wang, Yejuan, Caraballo Garrido, TomΓ‘s
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Abstract 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
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Shadowing property for nonautonomous dynamical systems
Contemporary Mathematics. Fundamental Directions, 2023 A new approach based on the analysis of the influence of a single perturbation is proposed as a test for the shadowing property for a broad class of dynamical systems (in particular, non-autonomous) under a variety of perturbations. Applications for several interesting cases are considered in detail.
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Pullback Attractors for Nonclassical Diffusion Equations in Noncylindrical Domains
International Journal of Mathematics and Mathematical Sciences, 2012 The existence and uniqueness of a variational solution are proved for the following nonautonomous nonclassical diffusion equation π’π‘βπΞπ’π‘βΞπ’+π(π’)=π(π₯,π‘),πβ(0,1], in a noncylindrical domain with homogeneous Dirichlet boundary conditions, under the ...
Cung The Anh, Nguyen Duong Toan
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Entropy, 2018 In the paper, we consider local aspects of the entropy of nonautonomous dynamical systems. For this purpose, we introduce the notion of a (asymptotical) focal entropy point.
Ewa Korczak-Kubiak +2 more
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On Nonautonomous Discrete Dynamical Systems [PDF]
International Journal of Analysis, 2014 We define and study expansiveness, shadowing, and topological stability for a nonautonomous discrete dynamical system induced by a sequence of homeomorphisms on a metric space.
Dhaval Thakkar, Ruchi Das
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An invariant set bifurcation theory for nonautonomous nonlinear evolution equations
Electronic Journal of Qualitative Theory of Differential Equations, 2020 In this paper we establish an invariant set bifurcation theory for the nonautonomous dynamical system $(\varphi_\lambda,\theta)_{X,\mathcal H}$ generated by the evolution equation \begin{equation}\label{e0}u_t+Au=\lambda u+p(t,u),\hspace{0.4cm} p\in ...
Xuewei Ju, Ailing Qi
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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.
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