Basic facts about homoclinic and heteroclinic orbits and their importance in the theory of analytical chaos

DOI10.1016/0034-4877(91)90039-PzbMath0787.58031OpenAlexW1998537347MaRDI QIDQ1198539

Wolfgang Haidegger

Publication date: 16 January 1993

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(91)90039-p

zbMATH Keywords

solutionsdynamical systemschaotic behavioursymbolic dynamicsheteroclinic orbitshomoclinic orbits

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Low-dimensional dynamical systems (37E99)

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Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Global bifurcations and chaos. Analytical methods
• Josephson's junction, annulus maps, Birkhoff attractors, horseshoes and rotation sets
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