A complete classification on the center-focus problem of a generalized cubic Kukles system with a nilpotent singular point
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Publication:6081667
DOI10.1007/s12346-023-00863-3zbMath1527.34055OpenAlexW4386963955MaRDI QIDQ6081667
Ting Chen, Feng Li, Pei Yu, Yuanyuan Liu
Publication date: 5 October 2023
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12346-023-00863-3
Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23)
Cites Work
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- Center conditions for generalized polynomial Kukles systems
- Kukles revisited: Advances in computing techniques
- Solution of the center-focus problem for a nine-parameter cubic system
- Integrability and limit cycles in cubic Kukles systems with a nilpotent singular point
- Algorithmic derivation of isochronicity conditions
- Limit cycles of a predator-prey model with intratrophic predation
- Computing centre conditions for certain cubic systems
- An algebraic approach to the classification of centers in polynomial Liénard systems
- Intratrophic predation in simple predator-prey models
- Conditions for the existence of a center for the Kukles homogeneous systems
- Bifurcation of limit cycles for a family of perturbed Kukles differential systems
- Bi-center problem and bifurcation of limit cycles from nilpotent singular points in \(Z_{2}\)-equivariant cubic vector fields
- Center conditions for polynomial Liénard systems
- Center conditions for a polynomial differential system
- Generating limit cycles from a nilpotent critical point via normal forms
- Bifurcation of limit cycles in a cubic-order planar system around a nilpotent critical point
- NEW STUDY ON THE CENTER PROBLEM AND BIFURCATIONS OF LIMIT CYCLES FOR THE LYAPUNOV SYSTEM (II)
- On the Paper of Jin and Wang Concerning the conditions for a Centre in certain Cubic Systems
- The Center and Cyclicity Problems
- Local analytic integrability for nilpotent centers
- ANALYTIC CENTER OF NILPOTENT CRITICAL POINTS
- CENTERS FOR THE KUKLES HOMOGENEOUS SYSTEMS WITH EVEN DEGREE
- A KIND OF BIFURCATION OF LIMIT CYCLES FROM A NILPOTENT CRITICAL POINT
- Centers for the Kukles homogeneous systems with odd degree
- Double Bifurcation of Nilpotent Focus
- MONODROMY AND STABILITY FOR NILPOTENT CRITICAL POINTS
- New Double Bifurcation of Nilpotent Focus
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