Chaotic Properties of Single Element Nonlinear Chimney Model: Effect of Directionality

DOI10.1142/S0218127419500482zbMath1415.34090arXiv1708.01092OpenAlexW2916400829WikidataQ128028319 ScholiaQ128028319MaRDI QIDQ4632151

Kiran M. Kolwankar, Anisha R. V. Kashyap

Publication date: 26 April 2019

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.01092

zbMATH Keywords

chaosLyapunov exponentriddled basin of attractionnonlinear chimney model

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Lagrange's equations (70H03)

Related Items (2)

Homotopy analysis method for oscillatory systems with cubic and trigonometric non-linearity ⋮ Hyperchaos and synchronization in two element nonlinear chimney model

Cites Work

• Determining Lyapunov exponents from a time series
• Structural dynamics and resonance in plants with nonlinear stiffness
• A practical method for calculating largest Lyapunov exponents from small data sets
• Chaos, Strange Attractors, and Fractal Basin Boundaries in Nonlinear Dynamics
• Effects of Wind on Plants
• A review of the decomposition method and some recent results for nonlinear equations

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