Hyperbolic attractor in a system of coupled non-autonomous van der Pol oscillators: numerical test for expanding and contracting cones
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Publication:620851
DOI10.1016/j.physleta.2006.12.071zbMath1203.37043arXivnlin/0609004OpenAlexW1969177117MaRDI QIDQ620851
Sergey P. Kuznetsov, Igor R. Sataev
Publication date: 20 January 2011
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0609004
Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems with hyperbolic orbits and sets (37D05)
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Cites Work
- Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
- Solving Ordinary Differential Equations I
- Chaos in the Lorenz equations: a computer-assisted proof
- Anosov parameter values for the triple linkage and a physical system with a uniformly chaotic attractor
- Ergodic theory of chaos and strange attractors
- Spacetime chaos in coupled map lattices
- HYPERBOLIC PLYKIN ATTRACTOR CAN EXIST IN NEURON MODELS
- Nonlinear dynamics of chaotic and stochastic systems. Tutorial and modern developments
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