Approximation of limit cycles in two-dimensional nonlinear systems near a Hopf bifurcation by canonical transformations

DOI10.1007/s10665-014-9762-xzbMath1360.34076OpenAlexW2121975578MaRDI QIDQ525185

Zheyan Zhou, Huaxiong Chen, Jianhe Shen, Shuhui Chen

Publication date: 28 April 2017

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-014-9762-x

zbMATH Keywords

limit cycleperturbation proceduretwo-dimensional system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (1)

Stability and bifurcation analysis of the Bazykin's predator-prey ecosystem with Holling type II functional response

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