Periodic attractors, strange attractors and hyperbolic dynamics near homoclinic orbits to saddle-focus equilibria

DOI10.1088/0951-7715/15/4/304zbMath1017.37012OpenAlexW2060720651MaRDI QIDQ3147777

Ale Jan Homburg

Publication date: 18 August 2003

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/d2c1d322b90d0c620d4c0be61b038c9144894f04

zbMATH Keywords

attractorshomoclinic orbithomoclinic trajectoriesdynamics of families of 3-dimensional vector fieldssaddle-focus rest points

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)

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