Limit cycles and chaos in equations of the pendulum type

DOI10.1016/0021-8928(89)90101-9zbMath0739.58055OpenAlexW1998833600MaRDI QIDQ1175812

Albert D. Morozov

Publication date: 25 June 1992

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(89)90101-9

zbMATH Keywords

chaoslimit cyclesequations of the pendulum type

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Integrable cases of motion in rigid body dynamics (70E40)

Related Items

On the number of limit cycles for perturbed pendulum equations ⋮ On the number of limit cycles of a pendulum-like equation with two switching lines ⋮ Resonances and chaos in parametric systems ⋮ The problem of a pendulum with an oscillating point of suspension ⋮ Limit cycle bifurcations near a double 2-polycycle on the cylinder ⋮ The limit cycle bifurcations of a whirling pendulum with piecewise smooth perturbations ⋮ On limit cycles, resonance and homoclinic structures in asymmetric pendulum-type equation ⋮ Algebraic approach to the classification of centers in trigonometric Cherkas systems ⋮ Limit cycles and chaos in equations of the pendulum type ⋮ Homoclinic bifurcation of limit cycles in near-Hamiltonian systems on the cylinder ⋮ Center problem for trigonometric Liénard systems

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