A physical interpretation of the Hénon map

DOI10.1016/0167-2789(92)90012-CzbMath0761.58051MaRDI QIDQ1199308

J. F. Heagy

Publication date: 16 January 1993

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

nonlinear couplingorientation-preserving Hénon mapperiod one return mapperiodically kicked harmonic oscillator

Mathematics Subject Classification ID

Applications of dynamical systems (37N99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (5)

Alternative stable states, coral reefs, and smooth dynamics with a kick ⋮ A chaotic lattice field theory in one dimension* ⋮ Discrete chaotic maps obtained by symmetric integration ⋮ Complexity in a Hybrid van der Pol System ⋮ Multiparameter critical situations, universality and scaling in two-dimensional period-doubling maps

Cites Work

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• On the Henon transformation
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• Regular and stochastic motion
• Quantitative universality for a class of nonlinear transformations
• Bifurcations of one- and two-dimensional maps
• Classification of strange attractors by integers
• Ergodic theory of chaos and strange attractors
• Characterization of unstable periodic orbits in chaotic attractors and repellers
• Numerical study of quadratic area-preserving mappings

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