A new topological indicator for chaos in mechanical systems

DOI10.1007/s11071-015-2207-xzbMath1354.70044OpenAlexW832951205MaRDI QIDQ332729

Manuel Fernández-Martínez, Juan Antonio Vera López, Juan Evangelista Trinidad Segovia, Miguel Angel Sánchez-Granero

Publication date: 9 November 2016

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-015-2207-x

zbMATH Keywords

fractal dimensionchaos indicatorfractal structureBeletsky's equationDIM3 algorithmmaximal Lyapunov exponent

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fractals (28A80) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dimension theory of smooth dynamical systems (37C45)

Related Items (2)

A survey on fractal dimension for fractal structures ⋮ On discrete models of fractal dimension to explore the complexity of discrete dynamical systems

Uses Software

• APL

Cites Work

• Fractal dimension for fractal structures
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• Semi-Stable Stochastic Processes
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