Bifurcations of phase portraits of pendulum with vibrating suspension point

DOI10.1016/J.CNSNS.2016.11.003OpenAlexW2410248155MaRDI QIDQ2005219

Kaicheng Sheng, Anatoly I. Neishtadt

Publication date: 7 October 2020

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

Full work available at URL: https://arxiv.org/abs/1605.09448

zbMATH Keywords

bifurcationsphase portraitsaveragingpendulum with vibrating suspension point

Mathematics Subject Classification ID

Ordinary differential equations (34-XX) Mechanics of particles and systems (70-XX)

Related Items (7)

A heteroclinic bifurcation in a motion of pendulum: numerical-topological approach ⋮ A Chebyshev criterion with applications ⋮ Parametric resonance of a charged pendulum with a suspension point oscillating between two vertical charged lines ⋮ Amplitude and rotational speed control of variable length pendulum by periodic input ⋮ Parametric stability of a charged pendulum with an oscillating suspension point ⋮ Estimation of the Accuracy of the Averaging Method for Systems with Multifrequency Perturbations ⋮ Bifurcation and the exact smooth, cusp solitary and periodic wave solutions of the generalized Kudryashov-Sinelshchikov equation

Cites Work

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• Local and semi-local bifurcations in Hamiltonian dynamical systems. Results and examples
• Asymptotic analysis of dynamical systems subjected to high-frequency interactions
• The stability of the equilibrium of a pendulum for vertical oscillations of the point of suspension
• Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
• Geometry of Kapitsa's potentials
• A pendulum theorem

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