Topology of Windows in the High-Dimensional Parameter Space of Chaotic Maps

DOI10.1142/S0218127403008181zbMath1046.37500MaRDI QIDQ3046565

Ernest Barreto, Celso Grebogi, Murilo S. Baptista

Publication date: 12 August 2004

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

bifurcationsplinechaotic mapsPeriodicityperiodic attractorsnilpotent lociparameter space diagrams

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

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Cites Work

• Generic hyperbolicity in the logistic family
• Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
• The Parameter Space Structure of the Kicked Logistic Map and Its Stability

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