Bizarre topology is natural in dynamical systems

DOI10.1090/S0273-0979-1995-00599-9zbMath0868.58055arXivmath/9507223OpenAlexW2004347490MaRDI QIDQ4885220

James A. Yorke, Judy A. Kennedy

Publication date: 4 August 1997

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9507223

zbMATH Keywords

diffeomorphisminvariant setpseudocircle

Mathematics Subject Classification ID

Related Items (13)

Global organization of phase space in the transition to chaos in the Lorenz system ⋮ On entropy of graph maps that give hereditarily indecomposable inverse limits ⋮ Minimal non-invertible maps on the pseudo-circle ⋮ MORE ABOUT CANTOR LIKE SETS IN HYPERBOLIC NUMBERS ⋮ New exotic minimal sets from pseudo-suspensions of Cantor systems ⋮ A note on homeo-product-minimality ⋮ Global topological properties of the Hopf bifurcation ⋮ Bifurcations and attractor-repeller splittings of non-saddle sets ⋮ Realizing rotation numbers on annular continua ⋮ Dissonant points and the region of influence of non-saddle sets ⋮ Certain singular distributions and fractals ⋮ A note on minimal sets of periods for cofrontier maps ⋮ The space of composants of an indecomposable continuum

Cites Work

• Basins of Wada
• One-dimensional non-wandering sets
• Concerning hereditarily indecomposable continua
• Construction of Some Curious Diffeomorphisms of the Riemann Sphere
• Homoclinic Intersections and Indecomposability
• Pseudocircles in Dynamical Systems
• Pseudocircles, diffeomorphisms and perturbable dynamical systems
• A Pathological Area Preserving C ∞ Diffeomorphism of the Plane
• Sur quelques propriétés des courbes de M. Birkhoff
• Expanding attractors
• Unnamed Item

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