Rapid fluctuations of chaotic maps on \(\mathbb {R}^N\)
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Publication:852734
DOI10.1016/j.jmaa.2005.10.019zbMath1102.37010OpenAlexW2127497910MaRDI QIDQ852734
Yu Huang, Daowei Ma, Goong Chen
Publication date: 15 November 2006
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.10.019
Topological dynamics (37B99) Fractals (28A80) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Hausdorff and packing measures (28A78)
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Cites Work
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- Dynamics in one dimension
- Snap-back repellers imply chaos in \(\mathbb{R}^n\)
- A new characterization of nonisotropic chaotic vibrations of the one-dimensional linear wave equation with a van der Pol boundary condition.
- On the topological entropy, nonwandering set and chaos of monotone and competitive dynamical systems
- On redefining a snap-back repeller
- Stability and convergence in strongly monotone dynamical systems.
- On dynamics of triangular maps of the square
- On topological entropy of triangular maps of the square
- Systems of Differential Equations that are Competitive or Cooperative II: Convergence Almost Everywhere
- Systems of differential equations which are competitive or cooperative: III. Competing species
- Entropy of piecewise monotone mappings
- Rational Choice and Erratic Behaviour
- On Sharkovsky's cycle coexistence ordering
- Occurrence of Chaos in Higher-Dimensional Discrete-Time Systems
- Chaotic behaviour of systems of difference equations
- Period Three Implies Chaos
- Homoclinic Points of Mappings of the Interval
- Simple Periodic Orbits of Mappings of the Interval
- Planar competitive and cooperative difference equations
- Entropy and periodic points for transitive maps
- Periods for triangular maps
- Complicated dynamics for low-dimensional strongly monotone maps
- GROWTH RATES OF TOTAL VARIATIONS OF SNAPSHOTS OF THE 1D LINEAR WAVE EQUATION WITH COMPOSITE NONLINEAR BOUNDARY REFLECTION RELATIONS
- BOUNDARY FEEDBACK ANTICONTROL OF SPATIOTEMPORAL CHAOS FOR 1D HYPERBOLIC DYNAMICAL SYSTEMS
- CHAOTIC BEHAVIOR OF INTERVAL MAPS AND TOTAL VARIATIONS OF ITERATES
- 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
- ANALYZING DISPLACEMENT TERM'S MEMORY EFFECT IN A VAN DER POL TYPE BOUNDARY CONDITION TO PROVE CHAOTIC VIBRATION OF THE WAVE EQUATION
- RAPID FLUCTUATIONS OF SNAPSHOTS OF ONE-DIMENSIONAL LINEAR WAVE EQUATION WITH A VAN DER POL NONLINEAR BOUNDARY CONDITION
- Topological Entropy
- Entropy for Group Endomorphisms and Homogeneous Spaces
- The general properties of dicrete-time competitive dynamical systems
