Results 151 to 160 of about 15,100 (198)
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Nonautonomous Graphs and Topological Entropy of Nonautonomous Lorenz Systems
International Journal of Bifurcation and Chaos, 2015In this work, we associate a p-periodic nonautonomous graph to each p-periodic nonautonomous Lorenz system with finite critical orbits. We develop Perron–Frobenius theory for nonautonomous graphs and use it to calculate their entropy. Finally, we prove that the topological entropy of a p-periodic nonautonomous Lorenz system is equal to the entropy of ...
Alves, João Ferreira, Silva, Luis
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Nonautonomous discrete integrable systems
Chaos, Solitons & Fractals, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Willox, R., Tokihiro, T., Satsuma, J.
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Data-driven models of nonautonomous systems
Journal of Computational Physics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hannah Lu, Daniel M. Tartakovsky
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Structural Stability of Nonautonomous Systems
Differential Equations, 2003The author proves the existence of a {near-identity} time-dependent homeomorphism between a nonautonomous equation \[ \dot{x} = X(t,x) \] and a perturbed system \[ \dot{x} = X(t,x) + Y(t,x), \] which maps solutions of the first equation to solutions of the second equation and vice versa with the inverse.
Kryzhevich, S. G., Pliss, V. A.
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Nonautonomous Projected Dynamical Systems
AIP Conference Proceedings, 2009This paper shows the existence of nonautonomous projected dynamical systems in Hilbert spaces. These systems arise most recently in the work being done on evolutionary variational inequalities (EVI) and help in extending the mix between the dynamics given by EVI and the disequilibrium evolution of equilibrium problems.
Monica Gabriela Cojocaru +3 more
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Nonautonomous Dynamical Systems
2016It was emphasized in Chap. 2 that the formulation of an autonomous dynamical system as a group (or semigroup) of mappings is based on the fact that such systems depend only on the elapsed time \(t - t_0\) instead of the starting time \(t_0\) or current time t independently.
Tomás Caraballo, Xiaoying Han
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Nonautonomous Bifurcations in Nonlinear Impulsive Systems
Differential Equations and Dynamical Systems, 2016The authors have studied non-autonomous trans-critical and pitchfork bifurcations in impulsive systems [Electron. J. Qual. Theory Differ. Equ. 2013, Paper No. 74, 23 p. (2013; Zbl 1340.34139); Miskolc Math. Notes 14, No. 3, 737--748 (2013; Zbl 1299.34143); Electron. J. Qual. Theory Differ. Equ. 2016, Paper No. 1, 13 p.
Akhmet, Marat, Kashkynbayev, Ardak
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Dissipative Nonautonomous Systems
2017Nonautonomous dynamical systems and their omega limit sets are defined. The concepts of positive and negative asymptotic invariance are defined. The omega limit sets for dissipative nonautonomous dynamical systems are shown to be positive and negative asymptotic invariant under certain conditions.
Xiaoying Han, Peter Kloeden
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CHAOTIFICATION OF NONAUTONOMOUS DISCRETE DYNAMICAL SYSTEMS
International Journal of Bifurcation and Chaos, 2011This paper focuses on the chaotification of nonautonomous discrete dynamical systems in finite-dimensional and general Banach spaces by feedback control techniques. Several chaotification schemes with general controllers and sawtooth function are established, respectively, where the controllers are time-invariant.
Huang, Qiuling +2 more
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One-dimensional monotone nonautonomous dynamical systems
Science China Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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