Center cyclicity for some nilpotent singularities including the ℤ2-equivariant class
DOI10.1142/S0219199720500534OpenAlexW3042064434MaRDI QIDQ5159134
Publication date: 26 October 2021
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219199720500534
Bifurcation theory for ordinary differential equations (34C23) Bifurcations of singular points in dynamical systems (37G10) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Cyclicity of a class of polynomial nilpotent center singularities
- Analytic nilpotent centers as limits of nondegenerate centers revisited
- Centers of quasi-homogeneous polynomial planar systems
- Generalized Hopf bifurcation for planar vector fields via the inverse integrating factor
- Limit cycles of differential equations
- Cyclicity of some symmetric nilpotent centers
- Keeping track of limit cycles
- A method of constructing cycles without contact around a weak focus
- Singularities and groups in bifurcation theory. Volume II
- Bernstein inequalities and applications to analytic geometry and differential equations
- Bifurcation of planar vector fields and Hilbert's sixteenth problem
- The analytic and formal normal form for the nilpotent singularity
- The center problem for \(\mathbb{Z}_2\)-symmetric nilpotent vector fields
- Cyclicity of polynomial nondegenerate centers on center manifolds
- Existence of an inverse integrating factor, center problem and integrability of a class of nilpotent systems
- Cyclicity of nilpotent centers with minimum Andreev number
- A method for characterizing nilpotent centers
- Integrability of planar nilpotent differential systems through the existence of an inverse integrating factor
- 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
- Stability of motion
- Formal Inverse Integrating Factor and the Nilpotent Center Problem
- ON THIRD-ORDER NILPOTENT CRITICAL POINTS: INTEGRAL FACTOR METHOD
- Investigation of the behaviour of the integral curves of a system of two differential equations in the neighbourhood of a singular point
- NEW STUDY ON THE CENTER PROBLEM AND BIFURCATIONS OF LIMIT CYCLES FOR THE LYAPUNOV SYSTEM (II)
- The Center and Cyclicity Problems
- The inverse integrating factor and the Poincaré map
- Holonomie et intégrales premières
- A Note on the Number of Limit Cycles in Certain Two-Dimensional Systems
- Local analytic integrability for nilpotent centers
- Nilpotent centres via inverse integrating factors
- Hilbert’s 16th problem on a period annulus and Nash space of arcs
- NEW STUDY ON THE CENTER PROBLEM AND BIFURCATIONS OF LIMIT CYCLES FOR THE LYAPUNOV SYSTEM (I)
- MONODROMY AND STABILITY FOR NILPOTENT CRITICAL POINTS
This page was built for publication: Center cyclicity for some nilpotent singularities including the ℤ2-equivariant class