Bifurcation of periodic and chaotic solutions in discontinuous systems [PDF]
, 1998 summary:Chaos generated by the existence of Smale horseshoe is the well-known phenomenon in the theory of dynamical systems. The Poincaré-Andronov-Melnikov periodic and subharmonic bifurcations are also classical results in this theory.
Fečkan, Michal
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Topological entropy of nonautonomous piecewise monotone dynamical systems on the interval
, 1998 The topological entropy of a nonautonomous dynamical system given by a sequence of compact metric spaces $(X_i)^∞_{i = 1}$ and a sequence of continuous maps $(f_i)^∞_{i = 1}$, $f_i : X_i → X_{i+1}$, is defined.
Snoha, L’ubomír +5 more
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The characterisation of chaos in low dimensional spaces [PDF]
This work attempts to characterise some of the complicated behaviour that is observed in many non-linear systems. For example, the frontispiece was generated by iterations of a two dimensional area-preserving mapping (the Chirikov map) that is typical
McCreadie, Geoffrey Alexander
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Invariant manifold theory for impulsive functional differential equations with applications [PDF]
, 2019 The primary contribution of this thesis is a development of invariant manifold theory for impulsive functional differential equations. We begin with an in-depth analysis of linear systems, immersed in a nonautonomous dynamical systems framework. We prove
Church, Kevin E. M.
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Existence And Stability Of High Frequency Standing Waves For A Nonlinear Schrodinger Equation
This article is concerned with the existence and orbital stability of standing waves for a nonlinear Schrodinger equation (NLS) with a nonautonomous nonlinearity. It continues and concludes the series of papers [6, 7, 8].
Genoud, Francois
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Border-Collision Bifurcations and Chaotic Oscillations in a Piecewise-Smooth Dynamical System
, 2002 Many problems of engineering and applied science result in the consideration of piecewise-smooth dynamical systems. Examples are relay and pulse-width control systems, impact oscillators, power converters, and various electronic circuits with piecewise ...
Zhusubaliyev, Z.T. +2 more
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Chaotic dynamic in discontinuous systems in the plane
, 2014 El estudio de los sistemas discontinuos es de gran interés ya que pueden aparecer de manera natural en el modelado de sistemas físicos, biológicos, etc; o surgen de forma intencionada al utilizar un control discontinuo.
José Guadalupe Castro Lugo
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Statistične lastnosti časovno odvisnih sistemov
, 2012 In the dissertation I have dealt with time-dependent (nonautonomous) systems, the conservative (Hamiltonian) as well as dissipative, and investigated their dynamical and statistical properties.
Fregolente Mendes De Oliveira, Diego
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How "Berry Phase" Analysis of Non-Adiabatic Non-Hermitian Systems Reflects Their Geometry. [PDF]
Entropy (Basel), 2023 Jeynes C.
europepmc +1 more source
Tipping points induced by parameter drift in an excitable ocean model. [PDF]
Sci Rep, 2021 Pierini S, Ghil M.
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