Explicit renormalisation in piecewise linear bimodal maps

DOI10.1016/0167-2789(90)90052-QzbMath0722.58040MaRDI QIDQ756224

Paul Glendinning, Darryl Veitch

Publication date: 1990

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

zbMATH Keywords

non-wandering setbimodal piecewise, linear map

Mathematics Subject Classification ID

Entropy in general topology (54C70) Dynamical systems and ergodic theory (37-XX)

Related Items (8)

Metric universalities and systems of renormalization group equations for bimodal maps ⋮ Renormalization of \(C^ 0\) bimodal maps ⋮ Renormalization of the Two-Dimensional Border-Collision Normal Form ⋮ Border-collision bifurcations from stable fixed points to any number of coexisting chaotic attractors ⋮ Chaos synchronization and riddled basins in two coupled one-dimensional maps ⋮ On period-adding sequences of attracting cycles in piecewise linear maps ⋮ Order isomorphism under higher power shift and generic form of renormalization group equations in multimodal maps ⋮ Riddling bifurcations in coupled piecewise linear maps

Cites Work

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• Transition to topological chaos for circle maps
• On unimodal linear transformations and chaos. II
• Bifurcations in one dimension. I. The nonwandering set
• Chaotic motion in nonlinear feedback systems

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