Why period-doubling cascades occur: periodic orbit creation followed by stability shedding

DOI10.1016/0167-2789(87)90130-8zbMath0623.58048OpenAlexW2064650410MaRDI QIDQ1091660

James A. Yorke, Ellen D. Yorke, Kathleen T. Alligood

Publication date: 1987

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(87)90130-8

zbMATH Keywords

Period-doubling cascades of attractors

Mathematics Subject Classification ID

Topological dynamics (37B99) Applications of global analysis to the sciences (58Z05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (1)

Border-collision bifurcations including ``period two to period three for piecewise smooth systems

Cites Work

• Sur l'itération des polynômes réels quadratiques
• The universal metric properties of nonlinear transformations
• Period doubling cascades of attractors: A prerequisite for horseshoes
• A Canonical Partition of the Periodic Orbits of Chaotic Maps
• Universal metric properties of bifurcations of endomorphisms
• Cascades of period-doubling bifurcations: A prerequisite for horseshoes

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