Fractal bifurcation sets, renormalization strange sets and their universal invariants

DOI10.1098/rspa.1987.0099zbMath0635.58033OpenAlexW2042998302MaRDI QIDQ3774608

David A. Rand

Publication date: 1987

Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1987.0099

zbMATH Keywords

fractal bifurcation setslipeomorphicstrange invariant sets of renormalization transformations

Mathematics Subject Classification ID

Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (7)

Renormalization-group analysis for the transition to chaos in Hamiltonian systems ⋮ A variety of period-doubling universality classes in multi-parameter analysis of transition to chaos ⋮ Universal scaling in circle maps ⋮ Break-up of the spiral mean torus in a volume-preserving map ⋮ Regularity of Conjugacies between Critical Circle Maps: An Experimental Study ⋮ Unstable manifolds for the MacKay approximate renormalisation ⋮ Singular measures in circle dynamics

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