Results 1 to 10 of about 317 (164)
The Existence of Weak D-Pullback Exponential Attractor for Nonautonomous Dynamical System [PDF]
The Scientific World Journal, 2016 First, for a process U(t,τ)∣t≥τ, we introduce a new concept, called the weak D-pullback exponential attractor, which is a family of sets M(t)∣t≤T, for any T∈R, satisfying the following: (i) M(t) is compact, (ii) M(t) is positively invariant, that is, U(t,
Yongjun Li, Xiaona Wei, Yanhong Zhang
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ENTROPY OF NONAUTONOMOUS DYNAMICAL SYSTEMS [PDF]
Journal of the Korean Mathematical Society, 2012 In this paper, the topological entropy and measure-theoreti entropy for nonautonomous dynamical systems are studied. Some prop- erties of these entropies are given and the relation between them is dis- cussed. Moreover, the bounds of them for several particular nonau- tonomous systems, such as affine transformations on metrizable groups (especially on ...
Yujun Zhu +3 more
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On the forward dynamical behaviour of nonautonomous lattice dynamical systems
Journal of Difference Equations and Applications, 2021 In this article, we study the forward dynamical behavior of nonautonomous lattice systems. We first construct a family of sets $\{\mathcal{A}_\varepsilon(σ)\}_{σ\in Σ}$ in arbitrary small neighborhood of a global attractor of the skew-product flow generated by a general nonautonomous lattice system, which is forward invariant and uniformly forward ...
Jintao Wang, C Li
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A Note on Stronger Forms of Sensitivity for Non-Autonomous Dynamical Systems on Uniform Spaces [PDF]
EntropyThis paper introduces the notion of multi-sensitivity with respect to a vector within the context of non-autonomous dynamical systems on uniform spaces and provides insightful results regarding N-sensitivity and strongly multi-sensitivity, along with ...
Lixin Jiao +3 more
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Synchronization of nonautonomous dynamical systems
Electronic Journal of Differential Equations, 2003 The synchronization of two nonautonomous dynamical systems is considered, where the systems are described in terms of a skew-product formalism, i.
Peter E. Kloeden
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Approximation of attractors of nonautonomous dynamical systems
Discrete and Continuous Dynamical Systems - Series B, 2005 Let \(\phi\) be a flow on a metric space \(X\). The authors introduce and study the following important notion. An invariant set \(A\subset X\) is said to be compactly generated if there exists a compact set \(K\subset X\) with the following property: for any compact set \(C\subset X\) there exists a \(T(K,C)>0\) such that \(A\cap C\subset \phi(t,A\cap
Martin Rasmussen, Bernd Aulbach
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On Minimality of Nonautonomous Dynamical Systems [PDF]
Nonlinear Oscillations, 2004 The minimality of a nonautonomous dynamical system given by a compact Hausdorff space X and a sequence of continuous self-maps of X is studied. A sufficient condition for the nonminimality of such a system is formulated. Special attention is given to the particular case where X is a real compact interval I.
Kolyada, S.F. +2 more
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The problem of acceleration in the dynamics of a double-link wheeled vehicle with arbitrarily directed periodic excitation [PDF]
Theoretical and Applied Mechanics, 2023 This study investigates the motion of a nonholonomic mechanical system that consists of two wheeled carriages articulated by a rigid frame. There is a point mass which oscillates at a given angle 𝛼 to the main axis of one of the carriages.
Mikishanina Evgeniya
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Open Mathematics, 2022 In this paper, the stochastic asymptotic behavior of the nonautonomous stochastic higher-order Kirchhoff equation with variable coefficients is studied.
Lv Penghui, Lin Guoguang, Sun Yuting
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Dynamics in a Nonautonomous Nicholson-Type Delay System [PDF]
Journal of Mathematics, 2021 A kind of Nicholson-type delay system is considered. Several conditions on the ultimate boundedness, extinction, permanence, periodic solution, and global attractivity of the system are established by employing the inequality techniques and comparison method and constructing suitable Lyapunov functional.
Ahmadjan Muhammadhaji, Azhar Halik
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