Hopf bifurcation problem for a class of Kolmogorov model with a positive nilpotent critical point

DOI10.11948/20210276MaRDI QIDQ6598201

Wentao Huang, Chaoxiong Du

Publication date: 4 September 2024

Published in: Journal of Applied Analysis and Computation (Search for Journal in Brave)

zbMATH Keywords

Hopf bifurcationquasi-Lyapunov constantnilpotent critical pointKolmogorov model

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Cites Work

• Center-focus problem and limit cycles bifurcations for a class of cubic Kolmogorov model
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• Behavior of limit cycle bifurcations for a class of quartic Kolmogorov models in a symmetrical vector field
• BIFURCATIONS OF LIMIT CYCLES CREATED BY A MULTIPLE NILPOTENT CRITICAL POINT OF PLANAR DYNAMICAL SYSTEMS
• ON THIRD-ORDER NILPOTENT CRITICAL POINTS: INTEGRAL FACTOR METHOD
• Three-Dimensional Hopf Bifurcation for a Class of Cubic Kolmogorov Model
• Limit Cycles Bifurcations for a Class of Kolmogorov Model in Symmetrical Vector Field
• INVARIANT MEASURES FOR SYSTEMS OF KOLMOGOROV EQUATIONS
• BIFURCATION OF LIMIT CYCLES AT A NILPOTENT CRITICAL POINT IN A SEPTIC LYAPUNOV SYSTEM

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