Compound windows of the Hénon-map

DOI10.1016/j.physd.2007.11.014zbMath1155.37030OpenAlexW1981640378MaRDI QIDQ937303

Edward N. Lorenz

Publication date: 14 August 2008

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

Full work available at URL: https://doi.org/10.1016/j.physd.2007.11.014

zbMATH Keywords

bifurcation diagramperiodic windowHenon map

Mathematics Subject Classification ID

Low-dimensional dynamical systems (37E99) Local and nonlocal bifurcation theory for dynamical systems (37G99) Smooth dynamical systems: general theory (37C99)

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Cites Work

• Unnamed Item
• On the Henon transformation
• The dynamics of the Hénon map
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• A two-dimensional mapping with a strange attractor
• An exploration of the Hénon quadratic map
• On the abundance of aperiodic behaviour for maps on the interval
• Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
• Characteristic exponents and strange attractors
• SLYRB measures: Natural invariant measures for chaotic systems
• Bifurcation rigidity
• Quantitative universality for a class of nonlinear transformations
• "CROSSROAD AREA–SPRING AREA" TRANSITION (I) PARAMETER PLANE REPRESENTATION
• "CROSSROAD AREA–SPRING AREA" TRANSITION (II) FOLIATED PARAMETRIC REPRESENTATION
• ON THE "CROSSROAD AREA–SADDLE AREA" AND "CROSSROAD AREA–SPRING AREA" TRANSITIONS
• Simple mathematical models with very complicated dynamics

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