Nilpotent bi-center in continuous piecewise \(\mathbb{Z}_2\)-equivariant cubic polynomial Hamiltonian systems
DOI10.1007/s11071-022-07631-zzbMath1519.34032OpenAlexW4283700267WikidataQ114224378 ScholiaQ114224378MaRDI QIDQ6094447
Shimin Li, Ting Chen, Jaume Llibre
Publication date: 13 September 2023
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-022-07631-z
Periodic solutions to ordinary differential equations (34C25) Discontinuous ordinary differential equations (34A36) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12) Fixed points and periodic points of finite-dimensional Hamiltonian and Lagrangian systems (37J12)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analytic nilpotent centers as limits of nondegenerate centers revisited
- Global phase portrait of a degenerate Bogdanov-Takens system with symmetry
- New results on the study of \(Z_q\)-equivariant planar polynomial vector fields
- Isochronicity of centers in a switching Bautin system
- Quadratic Hamiltonian vector fields
- Quadratic systems with center and their perturbations
- The classification of reversible cubic systems with center
- Remarks on ``The classification of reversible cubic systems with center
- Phase portrait of Hamiltonian systems with homogeneous nonlinearities
- The analytic and formal normal form for the nilpotent singularity
- Bifurcation analysis on a class of \(Z_{2}\)-equivariant cubic switching systems showing eighteen limit cycles
- Bi-center problem and bifurcation of limit cycles from nilpotent singular points in \(Z_{2}\)-equivariant cubic vector fields
- Bi-center conditions and local bifurcation of critical periods in a switching \(Z_2\) equivariant cubic system
- Global phase portraits of a degenerate Bogdanov-Takens system with symmetry. II
- Global dynamics of a mechanical system with dry friction
- Recent advances on determining the number of real roots of parametric polynomials
- On a codimension-three bifurcation arising in a simple dynamo model
- \(Z_2\)-equivariant linear type bi-center cubic polynomial Hamiltonian vector fields
- Center condition and bifurcation of limit cycles for quadratic switching systems with a nilpotent equilibrium point
- Complex isochronous centers and linearization transformations for cubic \(Z_2\)-equivariant planar systems
- Center conditions in a switching Bautin system
- Dynamics in two nonsmooth predator-prey models with threshold harvesting
- Centers of quasi-homogeneous polynomial differential equations of degree three
- Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields
- Hamiltonian linear type centers of linear plus cubic homogeneous polynomial vector fields
- Qualitative theory of planar differential systems
- A STUDY OF THE LIMIT CYCLES ASSOCIATED WITH A GENERALIZED CODIMENSION-3 LIENARD OSCILLATOR
- BIFURCATIONS OF LIMIT CYCLES CREATED BY A MULTIPLE NILPOTENT CRITICAL POINT OF PLANAR DYNAMICAL SYSTEMS
- Algebraic Particular Integrals, Integrability and the Problem of the Center
- Asymptotic Stability of Periodic Solutions for Nonsmooth Differential Equations with Application to the Nonsmooth van der Pol Oscillator
- Classification of Continuous Flows on 2-Manifolds
- HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
- Center-Focus Problem for Discontinuous Planar Differential Equations
- Global dynamics of a quintic Liénard system with Z2 -symmetry I: saddle case
- Double Bifurcation of Nilpotent Focus
- THE CENTER PROBLEM FOR DISCONTINUOUS LIÉNARD DIFFERENTIAL EQUATION
- Global Structure of Ordinary Differential Equations in the Plane
This page was built for publication: Nilpotent bi-center in continuous piecewise \(\mathbb{Z}_2\)-equivariant cubic polynomial Hamiltonian systems
