Multiple limit cycles bifurcation from the degenerate singularity for a class of three-dimensional systems
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Publication:272796
DOI10.1007/s10255-015-0510-4zbMath1387.34061OpenAlexW2402814031MaRDI QIDQ272796
Qin-long Wang, Yi-rong Liu, Wen-tao Huang
Publication date: 21 April 2016
Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10255-015-0510-4
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) 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)
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Cites Work
- Limit cycles and singular point quantities for a 3D Lotka-Volterra system
- Hopf bifurcation for a class of three-dimensional nonlinear dynamic systems
- Center conditions and bifurcation of limit cycles at three-order nilpotent critical point in a seventh degree Lyapunov system
- Four limit cycles for a three-dimensional competitive Lotka-Volterra system with a heteroclinic cycle
- Applications of centre manifold theory
- Multiple limit cycles for three dimensional Lotka-Volterra equations
- Two limit cycles in three-dimensional Lotka-Volterra systems
- The center-focus problem for a system with homogeneous nonlinearities in the case of zero eigenvalues of the linear part
- Generating limit cycles from a nilpotent critical point via normal forms
- The problem of distinguishing between a center and a focus for nilpotent and degenerate analytic systems
- BIFURCATIONS OF LIMIT CYCLES AND CENTER PROBLEM FOR A CLASS OF CUBIC NILPOTENT SYSTEM
- ON THIRD-ORDER NILPOTENT CRITICAL POINTS: INTEGRAL FACTOR METHOD
- Local analytic integrability for nilpotent centers
- Symétrie et forme normale des centres et foyers dégénérés
- MONODROMY AND STABILITY FOR NILPOTENT CRITICAL POINTS
