From Geodesic Flow on a Surface of Negative Curvature to Electronic Generator of Robust Chaos

DOI10.1142/S0218127416502321zbMath1357.37060arXiv1604.08048MaRDI QIDQ2969074

Sergey P. Kuznetsov

Publication date: 14 March 2017

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.08048

zbMATH Keywords

chaosattractorhyperbolicityelectronic circuitAnosov's dynamics

Mathematics Subject Classification ID

Analytic circuit theory (94C05) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems with hyperbolic orbits and sets (37D05)

Related Items (2)

On some simple examples of mechanical systems with hyperbolic chaos ⋮ Chaos and hyperchaos of geodesic flows on curved manifolds corresponding to mechanically coupled rotators: Examples and numerical study

Uses Software

• Multisim

Cites Work

• Hyperbolic chaos in self-oscillating systems based on mechanical triple linkage: testing absence of tangencies of stable and unstable manifolds for phase trajectories
• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• Hyperbolic Chaos and Other Phenomena of Complex Dynamics Depending on Parameters in a Nonautonomous System of Two Alternately Activated Oscillators
• Mathematical Problems of Nonlinear Dynamics: A Tutorial
• Robust Chaos
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