Periodic orbit analysis at the onset of the unstable dimension variability and at the blowout bifurcation
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Publication:3624811
DOI10.1063/1.2748619zbMath1159.37383arXiv0911.2439OpenAlexW3099945520WikidataQ80575365 ScholiaQ80575365MaRDI QIDQ3624811
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Publication date: 30 April 2009
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0911.2439
Related Items (6)
Low-dimensional paradigms for high-dimensional hetero-chaos ⋮ Heterogeneity of the attractor of the Lorenz '96 model: Lyapunov analysis, unstable periodic orbits, and shadowing properties ⋮ Crisis-induced unstable dimension variability in a dynamical system ⋮ Route to hyperbolic hyperchaos in a nonautonomous time-delay system ⋮ Coexistence and Dynamical Connections between Hyperchaos and Chaos in the 4D Rössler System: A Computer-Assisted Proof ⋮ Piecewise linear maps with heterogeneous chaos
Cites Work
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- Ergodic theory of chaos and strange attractors
- PSEUDO-DETERMINISTIC CHAOTIC SYSTEMS
- Efficient Detection of Periodic Orbits in Chaotic Systems by Stabilizing Transformations
- Topological Entropy
- INTERVAL METHODS FOR RIGOROUS INVESTIGATIONS OF PERIODIC ORBITS
- Chaos
- Controlling chaotic dynamical systems
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