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Chaos and topological entropy in dimension n>1

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Publication:3723372
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DOI10.1017/S0143385700003370zbMath0593.58022OpenAlexW2062852261MaRDI QIDQ3723372

Covadonga Blanco Garcia

Publication date: 1986

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385700003370


zbMATH Keywords

snap-back repellerchaos topological entropy


Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Ergodic theory of linear operators (47A35) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)


Related Items (5)

Chaos for implicit difference equations with snap-back repellers ⋮ The Structural Stability of Maps with Heteroclinic Repellers ⋮ Heteroclinic cycles imply chaos and are structurally stable ⋮ The \(C^1\) persistence of heteroclinic repellers in \(\mathbb{R}^n\) ⋮ A simple proof for persistence of snap-back repellers




Cites Work

  • Snap-back repellers imply chaos in \(\mathbb{R}^n\)
  • The application of dissipative operators to nonlinear diffusion equations
  • Period Three Implies Chaos
  • Oscillation and Chaos in Physiological Control Systems
  • Topological Entropy




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