Periodic motions and bifurcations in a double pendulum

DOI10.1007/978-3-030-94301-1_9OpenAlexW4226083500MaRDI QIDQ2089153

Chuan Guo, Albert C. J. Luo

Publication date: 6 October 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-94301-1_9

zbMATH Keywords

bifurcationperiodic motionperturbation analysisanalytical methoddouble pendulum

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations and instability for nonlinear problems in mechanics (70K50) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Cites Work

• Discretization and implicit mapping dynamics
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• Bifurcations in a two-degree-of-freedom elastic system with follower forces
• Bifurcation analysis of double pendulum with a follower force
• Periodic Flows to Chaos Based on Discrete Implicit Mappings of Continuous Nonlinear Systems
• An energy method for stability analysis of nonlinear, nonconservative systems.
• On Nonconservative Stability Problems of Elastic Systems With Slight Damping