Symmetric functions and exact Lyapunov exponents

DOI10.1016/S0167-2789(98)00150-XzbMath0941.37016OpenAlexW2089023089MaRDI QIDQ1808399

Lora Billings, James H. Curry, Eric T. Phipps

Publication date: 6 December 1999

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(98)00150-x

zbMATH Keywords

Newton's methodLyapunov exponentschaotic attractorson-off intermittencysymmetric functions of polynomials

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Numerical solutions to equations with nonlinear operators (65J15) Attractors of solutions to ordinary differential equations (34D45) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Cites Work

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• Determining Lyapunov exponents from a time series
• On the concept of attractor
• The transition to chaotic attractors with riddled basins
• On the unfolding of a blowout bifurcation
• The Durand-Kerner polynomials roots-finding method in case of multiple roots
• RIDDLED BASINS
• Basin Fractalization Due to Focal Points in a Class of Triangular Maps
• Exit times and transport for symplectic twist maps
• On noninvertible mappings of the plane: Eruptions

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