Analysis of a procedure for finding numerical trajectories close to chaotic saddle hyperbolic sets
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Publication:3971593
DOI10.1017/S0143385700006076zbMath0755.58044MaRDI QIDQ3971593
James A. Yorke, Helena E. Nusse
Publication date: 25 June 1992
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamical systems with hyperbolic behavior (37D99)
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Cites Work
- Shift automorphisms in the Henon mapping
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
- Structural stability of diffeomorphisms on two-manifolds
- The ergodic theory of axiom A flows
- Asymptotically Periodic Behaviour in the Dynamics of Chaotic Mappings
- Differentiable dynamical systems
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
