Results 11 to 20 of about 317 (164)

Dynamics of Weakly Mixing Nonautonomous Systems [PDF]

International Journal of Bifurcation and Chaos, 2019
For a commutative nonautonomous dynamical system we show that topological transitivity of the nonautonomous system induced on probability measures (hyperspaces) is equivalent to the weak mixing of the induced systems. Several counter examples are given for the results which are true in autonomous but need not be true in nonautonomous systems. Wherever
Mohammad Salman, Ruchi Das
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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, Eike Cramer, Benjamin Schäfer, Dirk Witthaut   +3 more
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VISUALIZATION TOOLS FOR GROUPOIDS ASSOCIATED TO NONAUTONOMOUS DISCRETE DYNAMICAL SYSTEMS [PDF]

Fiabilitate şi Durabilitate, 2022
The purpose of this paper is to provide visualization tools for analysis of the family of groupoids associated in [5] to a discrete nonautonomous system.
Mădălina Roxana BUNECI
doaj  

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

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 𝑢𝑡−𝜀Δ𝑢𝑡−Δ𝑢+𝑓(𝑢)=𝑔(𝑥,𝑡),𝜀∈(0,1], in a noncylindrical domain with homogeneous Dirichlet boundary conditions, under the ...
Cung The Anh, Nguyen Duong Toan
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On Points Focusing Entropy

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, Anna Loranty, Ryszard J. Pawlak   +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
openaire   +1 more source

Controllability and Observability of Nonautonomous Riesz-Spectral Systems

Abstract 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, Christiana Rini Indrati, Lina Aryati   +2 more
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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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