Limit Cycles of Perturbed Cubic Isochronous Center via the Second Order Averaging Method

DOI10.1142/S0218127414500357zbMath1296.34077MaRDI QIDQ3191098

Shimin Li, Yulin Zhao

Publication date: 23 September 2014

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

isochronous centerlimit cyclesaveraging method

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) Averaging method for ordinary differential equations (34C29) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Related Items (6)

Limit cycle bifurcations in a class of piecewise smooth cubic systems with multiple parameters ⋮ Limit Cycles Bifurcating from a Class of Cubic Hamiltonian Systems ⋮ Limit cycle bifurcations in a class of near-Hamiltonian systems with multiple parameters ⋮ Bifurcation of periodic orbits of periodic equations with multiple parameters by averaging method ⋮ LIMIT CYCLES FOR TWO CLASSES OF PLANAR POLYNOMIAL DIFFERENTIAL SYSTEMS WITH UNIFORM ISOCHRONOUS CENTERS ⋮ Limit Cycle Bifurcations in a Class of Piecewise Smooth Polynomial Systems

Cites Work

• Nonlinear differential equations and dynamical systems
• Averaging methods in nonlinear dynamical systems

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