Construction of Poincaré maps for multiply periodic and chaotic flows

DOI10.1016/0375-9601(94)90468-5zbMath0941.37503OpenAlexW2052329530MaRDI QIDQ1964882

Paul E. Phillipson, Olivier Michielin

Publication date: 6 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(94)90468-5

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Qualitative theory for ordinary differential equations (34C99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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BIFURCATION DYNAMICS OF THREE-DIMENSIONAL SYSTEMS ⋮ Long tailed maps as a representation of mixed mode oscillatory systems

Cites Work

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• A two-dimensional mapping with a strange attractor
• Asymptotic chaos
• The Lorenz equations: bifurcations, chaos, and strange attractors
• On finite limit sets for transformations on the unit interval
• Full characterization of a strange attractor. Chaotic dynamics in low- dimensional replicator systems
• Deterministic Nonperiodic Flow

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