Bifurcation set and distribution of limit cycles for a class of seven-order Hamiltonian system with fifteen-order perturbed terms

DOI10.1016/S0960-0779(00)00226-5zbMath0994.37024OpenAlexW1979865584MaRDI QIDQ5950644

Ruiqi Wang, Zheng-Rong Liu, Zhu-jun Jing

Publication date: 2 January 2002

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(00)00226-5

zbMATH Keywords

limit cycles bifurcation Hamiltonian system numerical simulations detection function global and local bifurcations rotation symmetry

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (7)

Bifurcations of limit cycles in a cubic system ⋮ The same distribution of limit cycles in a Hamiltonian system with nine seven-order perturbed terms ⋮ Bifurcations of limit cycles in a perturbed quintic Hamiltonian system with six double homoclinic loops ⋮ Novel frequency-domain criterion for elimination of limit cycles in a class of digital filters with single saturation nonlinearity ⋮ Suppression of limit cycles in second-order companion form digital filters with saturation arithmetic ⋮ Nonlinear stability and vibration of pre/post-buckled microstructure-dependent FGPM actuators ⋮ Bifurcations of limit cycles for a cubic Hamiltonian system under quartic perturbations

Uses Software

Dynamics

Cites Work

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