Chaos of a parametrically excited undamped pendulum

DOI10.1016/j.cnsns.2006.01.004zbMath1101.70014OpenAlexW2054475636MaRDI QIDQ850092

Chunqing Lu

Publication date: 15 November 2006

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2006.01.004

zbMATH Keywords

multiple solutionsshooting method

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Parametric resonances for nonlinear problems in mechanics (70K28)

Related Items

An alternative approach for chaos: A plane pendulum with oscillating torque ⋮ Global Dynamics of an Elliptically Excited Pendulum Model

Cites Work

• Use of simple shooting to obtain chaos
• On the periodic solutions of a forced second-order equation
• Chaotic motions of a parametrically excited pendulum
• On the Detection and Dynamical Consequences of Orbits Homoclinic to Hyperbolic Periodic Orbits and Normally Hyperbolic Invariant Tori in a Class of Ordinary Differential Equations
• Chaotic Motion of a Pendulum with Oscillatory Forcing
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