Results 11 to 20 of about 1,030 (143)
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 ...
H. Aliyeva, T., T. Arazov, G.
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Direct transition from a stable equilibrium to quasiperiodicity in non-smooth systems
, 2008 The purpose of this Letter is to show how a border-collision bifurcation in a piecewise-smooth dynamical system can produce a direct transition from a stable equilibrium point to a two-dimensional invariant torus.
Zhusubaliyev, Z.T., Mosekilde, Erik
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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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Bifurcation theory of impulsive dynamical systems
, 2021 This monograph presents the most recent progress in bifurcation theory of impulsive dynamical systems with time delays and other functional dependence. It covers not only smooth local bifurcations, but also some non-smooth bifurcation phenomena that are ...
Liu, Xinzhi, Church, Kevin E M
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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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Parametrization of global attractors experimental observations and turbulence [PDF]
, 2007 This paper is concerned with rigorous results in the theory of turbulence and fluid flow. While derived from the abstract theory of attractors in infinite-dimensional dynamical systems, they shed some light on the conventional heuristic theories of ...
Robinson, James C.
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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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Existence and Multiplicity of Weak Solutions for a Neumann Elliptic Problem with -Laplacian
Nonautonomous Dynamical Systems, 2020 We are interested in the existence of multiple weak solutions for the Neumann elliptic problem involving the anisotropic -Laplacian operator, on a bounded domain with smooth boundary.
M. Bohner +3 more
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