Structure in the parameter dependence of order and chaos for the quadratic map

DOI10.1088/0305-4470/30/20/012zbMath0930.37016OpenAlexW1969435998MaRDI QIDQ4245812

Edward Ott, Brian R. Hunt

Publication date: 15 February 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/30/20/012

zbMATH Keywords

attractorsstructural instabilityuncertainty exponentone-dimensional quadratic mapwindows of attracting periodic behaviour

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems involving maps of the interval (37E05)

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Uncertainty as to whether or not a system has a chaotic attractor ⋮ Sensitive dependence on parameters of continuous-time nonlinear dynamical systems ⋮ Complex periodic structures in bi-dimensional bifurcation diagrams of a RLC circuit model with a nonlinear NDC device ⋮ SHRIMPS: OCCURRENCE, SCALING AND RELEVANCE ⋮ On the entropy devil's staircase in a family of gap-tent maps

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