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ENTROPY OF NONAUTONOMOUS DYNAMICAL SYSTEMS
Journal of the Korean Mathematical Society, 2012 Yujun Zhu +3 more
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Smooth linearization of nonautonomous coupled systems [PDF]
Discrete and Continuous Dynamical Systems - B, 2022 In a joint work with Palmer we have formulated sufficient conditions under which there exist continuous and invertible transformations of the form $H_n(x,y)$ taking solutions of a coupled system \begin{equation*} x_{n+1} =A_nx_n+f_n(x_n, y_n), \quad y_{n+
Lucas Backes, Davor Dragivcevi'c
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On the Stability of Smooth Branches of Periodic Solutions for Higher Order Perturbed Differential Equations [PDF]
Qualitative Theory of Dynamical Systems, 2022 The combination of the averaging method with the Lyapunov-Schmidt reduction offers sufficient conditions for establishing the existence of periodic solutions in a specific class of perturbative ...
M. R. Cândido, D. Novaes
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Dimension approximation in smooth dynamical systems [PDF]
Ergodic Theory and Dynamical Systems, 2023 For a non-conformal repeller $\Lambda $ of a $C^{1+\alpha }$ map f preserving an ergodic measure $\mu $ of positive entropy, this paper shows that the Lyapunov dimension of $\mu $ can be approximated gradually by the Carathéodory singular ...
Yongluo Cao, Juanyong Wang, Yun Zhao
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Historic behaviour for nonautonomous contraction mappings [PDF]
Nonlinearity, 2017 We consider a parametrised perturbation of a diffeomorphism on a closed smooth Riemannian manifold with , modeled by nonautonomous dynamical systems. A point without time averages for a (nonautonomous) dynamical system is said to have historic behaviour.
Shin Kiriki, Y. Nakano, Teruhiko Soma
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Invariant densities for dynamical systems with random switching [PDF]
, 2012 We consider a nonautonomous ordinary differential equation on a smooth manifold, with right-hand side that randomly switches between the elements of a finite family of smooth vector fields.
Yuri Bakhtin, T. Hurth
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Topological entropy of nonautonomous dynamical systems on uniform spaces [PDF]
Journal of Differential Equations, 2022 In this paper, we focus on some properties, calculations and estimations of topological entropy for a nonautonomous dynamical system $(X,f_{0,\infty})$ generated by a sequence of continuous self-maps $f_{0,\infty}=\{f_n\}_{n=0}^{\infty}$ on a compact ...
Hua Shao
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The Melnikov Method and Subharmonic Orbits in a Piecewise-Smooth System [PDF]
SIAM Journal on Applied Dynamical Systems, 2012 We consider a two-dimensional piecewise-smooth system defined in two domains separated by a switching manifold $\Sigma$. We assume that there exists a piecewise-defined continuous Hamiltonian that is a first integral of the system.
Albert Granados, S. Hogan, T. M. Seara
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Border Collision Bifurcations of Stroboscopic Maps in Periodically Driven Spiking Models [PDF]
SIAM Journal on Applied Dynamical Systems, 2013 In this work we consider a general nonautonomous hybrid system based on the integrate-and-fire model, widely used as simplified version of neuronal models and other types of excitable systems.
Albert Granados, M. Krupa, F. Clément
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Chaos and Boundary Values Problems of Mathematical Models of Nonautonomous Dynamical Systems
, 2015 The boundary values of problem that are determined from observations play a decisive role in solving any problem in mathematical models of dynamic systems. They lead to the search of answer to the following questions: From observations, is it possible to
G. Arazov, T. Aliyeva
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