Crossover from dissipative to conservative behaviour in period-doubling systems

DOI10.1016/0378-4371(86)90062-2zbMath0668.58023OpenAlexW2023652465MaRDI QIDQ1118226

S. H. Smith

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0378-4371(86)90062-2

zbMATH Keywords

Hénon mapperiod-doubling bifurcationsiterative mapsconservative and dissipative limit

Mathematics Subject Classification ID

Topological dynamics (37B99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (4)

Period-doubling in two-parameter families ⋮ Period doubling in maps with a maximum of order ⋮ Reducible expansions and related sharp crossovers in Feigenbaum’s renormalization field ⋮ Bifurcations in two-dimensional reversible maps

Cites Work

• Universal behaviour in families of area-preserving maps
• Period doubling bifurcations and universality in conservative systems
• The transition to aperiodic behavior in turbulent systems
• Universal metric properties of bifurcations of endomorphisms
• Unnamed Item

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