Results 21 to 30 of about 608 (201)
MathematicsIn this paper, we study the shrinking target problem regarding Q-Cantor series expansions of the formal Laurent series field. We provide the Hausdorff dimension of a very general shrinking target scheme generated by the nonautonomous dynamical system on ...
Xue Li, Chao Ma
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A Lyapunov function for pullback attractors of nonautonomous differential equations
Electronic Journal of Differential Equations, 2000 The contruction of a Lyapunov function characterizing the pullback attractor of a cocycle dynamical system is presented. This system is the state space component of a skew-product flow generated by a nonautonomous differential equation that is driven by ...
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
Stefan Siegmund +2 more
exaly +3 more sources
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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On the Proper Treatment of Dynamics in Cognitive Science
Topics in Cognitive Science, EarlyView., 2023 Abstract This essay examines the relevance of dynamical ideas for cognitive science. On its own, the mere mathematical idea of a dynamical system is too weak to serve as a scientific theory of anything, and dynamical approaches within cognitive science are too rich and varied to be subsumed under a single “dynamical hypothesis.” Instead, after first ...
Randall D. Beer
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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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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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Lower semicontinuity of attractors for non-autonomous dynamical systems [PDF]
, 2009 This paper is concerned with the lower semicontinuity of attractors for semilinear non-autonomous differential equations in Banach spaces. We require the unperturbed attractor to be given as the union of unstable manifolds of time-dependent hyperbolic
Langa, José A. +3 more
core +1 more source