Period doubling and multifractals in 1-D iterative maps

DOI10.1016/0960-0779(92)90040-TzbMath0769.58042MaRDI QIDQ1208390

Ray P. S. Han, Albert C. J. Luo

Publication date: 16 May 1993

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

zbMATH Keywords

period doubling bifurcationiterative mapschaotic fractality

Mathematics Subject Classification ID

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

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A YING–YANG THEORY IN NONLINEAR DISCRETE DYNAMICAL SYSTEMS ⋮ PARAMETER CHARACTERISTICS FOR STABLE AND UNSTABLE SOLUTIONS IN NONLINEAR DISCRETE DYNAMICAL SYSTEMS

Cites Work

• Period doubling bifurcations for families of maps on \(R^ n\)
• Marginal stability boundaries for some driven, damped, nonlinear oscillators
• Quantitative universality for a class of nonlinear transformations
• Universal metric properties of bifurcations of endomorphisms
• Fractal measures and their singularities: The characterization of strange sets
• Simple mathematical models with very complicated dynamics