Linearizability and local bifurcation of critical periods in a cubic Kolmogorov system

DOI10.1016/j.cam.2012.12.003zbMath1280.34033OpenAlexW2017682905MaRDI QIDQ1947492

Xingwu Chen, Valery G. Romanovski, Wen-tao Huang, Wei Nian Zhang

Publication date: 22 April 2013

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

Full work available at URL: https://doi.org/10.1016/j.cam.2012.12.003

zbMATH Keywords

bifurcationintegrabilitycenterisochronicityKolmogorov system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23)

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Nondegenerate centers and limit cycles of cubic Kolmogorov systems ⋮ An efficient class of optimal sixteenth-order root-finding methods and their basins of attraction ⋮ Integrability and non-linearizability of weak saddles in a cubic Kolmogorov model ⋮ Computers in mathematical research: the study of three-point root-finding methods ⋮ Small amplitude limit cycles and local bifurcation of critical periods for a quartic Kolmogorov system ⋮ Bifurcation of limit cycles and isochronous centers on center manifolds for a class of cubic Kolmogorov systems in \(\mathbb{R}^3\) ⋮ Multiple bifurcations of critical period for a quartic Kolmogorov model ⋮ Linearizability and critical period bifurcations of a generalized Riccati system ⋮ Bifurcation analysis and sliding mode control of chaotic vibrations in an autonomous system

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