Jacobi stability analysis and chaotic behavior of nonlinear double pendulum

DOI10.1142/S0219887817501766zbMath1384.34066OpenAlexW2747774641MaRDI QIDQ4599441

Shunya Oiwa, Takahiro Yajima

Publication date: 2 January 2018

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887817501766

zbMATH Keywords

nonlinear dynamic systemsnonlinear ordinary differential equationsstability and chaos

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (7)

Kosambi–Cartan–Chern Stability in the Intermediate Nonequilibrium Region of the Brusselator Model ⋮ Homoclinic orbits and Jacobi stability on the orbits of Maxwell–Bloch system ⋮ Classification of time-optimal paths under an external force based on Jacobi stability in Finsler space ⋮ Dynamics and Jacobi stability of the controlled 3D Hindmarsh-Rose neuron model ⋮ A geometric interpretation of maximal Lyapunov exponent based on deviation curvature ⋮ Dynamics at infinity and Jacobi stability of trajectories for the Yang-Chen system ⋮ Geometrical classification of self-similar motion of two-dimensional three point vortex system by deviation curvature on Jacobi field

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