Onset of stochasticity for some one-dimensional systems

DOI10.1016/S0167-2789(98)90016-1zbMath0662.58025MaRDI QIDQ1113506

M. V. Yakobson

Publication date: 1988

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

zbMATH Keywords

stochastic dynamicsperiod-doubling bifurcationsFeigenbaum's parametertwo-parameter family of circle maps

Mathematics Subject Classification ID

Topological dynamics (37B99)

Related Items (1)

Uniform Expansivity Outside a Critical Neighborhood in the Quadratic Family

Cites Work

• Unnamed Item
• Bifurcations and stability of families of diffeomorphisms
• Transition to topological chaos for circle maps
• Sensitive dependence to initial conditions for one dimensional maps
• On the abundance of aperiodic behaviour for maps on the interval
• Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
• Rotation sets are closed
• Some properties of absolutely continuous invariant measures on an interval

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