Dark curves and MSS sequence in a piece-wise linear system

DOI10.1080/00207160701351945zbMath1152.65118OpenAlexW2019925968MaRDI QIDQ3518537

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Publication date: 8 August 2008

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160701351945

zbMATH Keywords

numerical examplesbifurcationsymbolic dynamicsperiodic windowpiece-wise linear systemdark curves

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Time series analysis of dynamical systems (37M10) Dynamical aspects of attractors and their bifurcations (37G35) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30)

Cites Work

• Characterization of transition to chaos with multiple positive Lyapunov exponents by unstable periodic orbits
• The increasingly complex structure of the bifurcation tree of a piecewise-smooth system
• On finite limit sets for transformations on the unit interval

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