Chaos of discrete dynamical systems in complete metric spaces
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Publication:1772593
DOI10.1016/j.chaos.2004.02.015zbMath1067.37047OpenAlexW2067904577MaRDI QIDQ1772593
Publication date: 21 April 2005
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2004.02.015
Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Special maps on metric spaces (54E40)
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Cites Work
- Global bifurcations and chaos. Analytical methods
- General topology. I. Basic concepts and constructions. Dimension theory. Transl. from the Russian by D. B. O'Shea
- Snap-back repellers imply chaos in \(\mathbb{R}^n\)
- Horseshoes in piecewise continuous maps
- On the Marotto-Li-Chen theorem and its application to chaotification of multi-dimensional discrete dynamical systems
- Topological horseshoes
- Defining Chaos
- Chaotic Behavior in Piecewise Continuous Difference Equations
- On Devaney's Definition of Chaos
- Period Three Implies Chaos
- Chaotification via Feedback: The Discrete Case
- Snapback repellers as a cause of chaotic vibration of the wave equation with a van der Pol boundary condition and energy injection at the middle of the span
- CHAOTIFICATION OF DISCRETE DYNAMICAL SYSTEMS GOVERNED BY CONTINUOUS MAPS
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