Nonlinear stiffness, Lyapunov exponents, and attractor dimension

DOI10.1016/S0375-9601(99)00793-8zbMath0949.37014arXivnlin/0007031OpenAlexW2146822462WikidataQ61982149 ScholiaQ61982149MaRDI QIDQ1569465

Julyan H. E. Cartwright

Publication date: 3 July 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0007031

zbMATH Keywords

chaosLyapunov exponentsfractal dimensionstrange attractor

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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Uses Software

• RODAS

Cites Work

• Defect-controlled numerical methods and shadowing for chaotic differential equations
• Measuring the strangeness of strange attractors
• THE DYNAMICS OF RUNGE–KUTTA METHODS
• Perspectives of Nonlinear Dynamics
• On Non-Linear Differential Equations of the Second Order: I. the Equation y¨ − k (1-y ² )y˙ + y = b λk cos(λl + α), k Large
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