Results 21 to 30 of about 1,884 (116)
On the solvability of the Yakubovich linear-quadratic infinite horizon minimization problem [PDF]
, 2019 The Yakubovich Frequency Theorem, in its periodic version and in its general nonautonomous extension, establishes conditions which are equivalent to the global solvability of a minimization problem of infinite horizon type, given by the integral in ...
Fabbri, Roberta +1 more
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Discrete Dynamical Systems: A Brief Survey [PDF]
, 2018 Dynamical system is a mathematical formalization for any fixed rule that is described in time dependent fashion. The time can be measured by either of the number systems - integers, real numbers, complex numbers.
Fernandes, S. +4 more
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Entropy of nonautonomous dynamical systems
, 2017 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 ...
Kawan, Christoph
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Rate-induced tipping and saddle-node bifurcation for quadratic differential equations with nonautonomous asymptotic dynamics [PDF]
, 2020 An in-depth analysis of nonautonomous bifurcations of saddle-node type for scalar differential equations $x'=-x^2+q(t)\,x+p(t)$, where $q\colon\R\to\R$ and $p\colon\R\to\R$ are bounded and uniformly continuous, is fundamental to explain the absence ...
Longo, Iacopo Paolo +3 more
core
, 2017 We study chaotic properties of uniformly convergent nonautonomous dynamical systems. We show that, contrary to the autonomous systems on the compact interval, positivity of topological sequence entropy and occurrence of Li-Yorke chaos are not equivalent,
Sotola, Jakub
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Devaney chaos in non-autonomous discrete systems
, 2016 This paper is concerned with Devaney chaos in non-autonomous discrete systems. It is shown that in its definition, the two former conditions, i.e., transitivity and density of periodic points, in a set imply the last one, i.e., sensitivity, in the case ...
Shao, Hua, Shi, Yuming, Zhu, Hao
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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
Nucleic Acid‐Based Molecular Machines for Biological Applications
Advanced NanoBiomed Research, Volume 5, Issue 11, November 2025.Molecular machines are devices assembled from molecules with specific functions. In this review, the development of DNA nanostructures, which are then assembled into molecular machines, is summarized. Their classification and biological applications, such as biosensing, targeted therapy, and molecular circuits are introduced.
Yirong Guo, Xiaolei Zuo, Fangfei Yin
wiley +1 more source
IET Smart Grid, Volume 8, Issue 1, January/December 2025.Equivalent models, including surrogate models, reduced‐order models (ROMs) and hybrid models, have garnered considerable attention. This paper first summarises the challenges in DER‐based power system simulation. Then, we categorise equivalence modelling techniques along with their advantages while addressing simulation difficulties and accordingly ...
Ke Wang, Yang Cao, Wei Gu
wiley +1 more source