On persistent centers
From MaRDI portal
Publication:843114
DOI10.1016/j.bulsci.2008.08.007zbMath1183.34041OpenAlexW2090591360MaRDI QIDQ843114
Anna Cima, Armengol Gasull, João C. R. Medrado
Publication date: 29 September 2009
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.bulsci.2008.08.007
Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)
Related Items (4)
Persistent centers of complex systems ⋮ On integrability and linearizability of persistent \(p:- q\) resonant systems ⋮ Center problem for systems with two monomial nonlinearities ⋮ Non-smooth quadratic centers defined in two arbitrary sectors
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The center problem for a linear center perturbed by homogeneous polynomials
- Bifurcation formulae derived from center manifold theory
- Theory of values of singular point in complex autonomous differential systems
- Higher order bifurcations of limit cycles
- Quadratic systems with center and their perturbations
- An explicit expression of the first Lyapunov and period constants with applications
- Algebraic properties of the Lyapunov and period constants
- Bifurcation of planar vector fields and Hilbert's sixteenth problem
- A relation between small amplitude and big limit cycles.
- A new approach to the computation of the Lyapunov constants
- On the period function for a family of complex differential equations
- An Analytic-Numerical Method for Computation of the Liapunov and Period Constants Derived from Their Algebraic Structure
- Integrable systems in the plane with center type linear part
- On the Poincaré–Lyapunov constants and the Poincare series
- On Second Order Bifurcations of Limit Cycles
- Degenerate Hopf Bifurcation Formulas and Hilbert’s 16th Problem
- Successive derivatives of a first return map, application to the study of quadratic vector fields
- Algorithmic Derivation of Centre Conditions
- Averaging methods in nonlinear dynamical systems
This page was built for publication: On persistent centers
