The non-smooth pitchfork bifurcation: a renormalization analysis

DOI10.1080/14689367.2014.1001722zbMath1344.37063OpenAlexW2088500874MaRDI QIDQ5253916

L. N. C. Adamson, Andrew H. Osbaldestin

Publication date: 5 June 2015

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://researchportal.port.ac.uk/portal/en/publications/the-nonsmooth-pitchfork-bifurcation(e73ab7ae-8faf-4692-80be-aae9efaa759f).html

zbMATH Keywords

renormalizationstrange non-chaotic attractornon-smooth pitchfork bifurcation

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Universality and renormalization of dynamical systems (37E20) Dynamical aspects of attractors and their bifurcations (37G35)

Cites Work

• Unnamed Item
• Strange attractors that are not chaotic
• Non-smooth pitchfork bifurcations
• Self-similar correlations in a barrier billiard
• Renormalisation of correlations in a barrier billiard: quadratic irrational trajectories
• Chaotic correlations in barrier billiards with arbitrary barriers
• Golden mean renormalization for a generalized Harper equation: The Ketoja–Satija orchid
• Renormalization of correlations and spectra of a strange non-chaotic attractor
• Quasiperiodic forcing and the observability of strange nonchaotic attractors
• Characterizing strange nonchaotic attractors
• Correlations and spectra of strange nonchaotic attractors

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