PERIODIC CONSTANTS AND TIME-ANGLE DIFFERENCE OF ISOCHRONOUS CENTERS FOR COMPLEX ANALYTIC SYSTEMS
From MaRDI portal
Publication:5297828
DOI10.1142/S0218127406017142zbMath1140.34301MaRDI QIDQ5297828
Publication date: 13 July 2007
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25)
Related Items
A class of ninth degree system with four isochronous centers ⋮ Weak centers and local bifurcations of critical periods at infinity for a class of rational systems ⋮ Generalized isochronous centers for complex systems ⋮ Bifurcation of limit cycles and pseudo-isochronicity at infinity in a septic polynomial vector field ⋮ Complete classification on center of cubic planar systems symmetric with respect to a straight line ⋮ The problem of bicenter and isochronicity for a class of quasi symmetric planar systems ⋮ Isochronicity problem of a higher-order singular point for polynomial differential systems ⋮ Pseudo-isochronicity in a class of septic differential systems ⋮ Complex isochronous centers and linearization transformations for cubic \(Z_2\)-equivariant planar systems ⋮ LINEAR CENTERS WITH PERTURBATIONS OF DEGREE 2d + 5
Cites Work
- Isochronous centers of a linear center perturbed by fourth degree homogeneous polynomial
- A new method to determine isochronous center conditions for polynomial differential systems.
- A class of reversible cubic systems with an isochronous center
- A general time-dependent invariant for and integrability of the quadratic system
- HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
- Invariants for a cubic three-wave system