Algorithmic derivation of isochronicity conditions

DOI10.1016/j.na.2006.04.018zbMath1122.34022OpenAlexW2101440583MaRDI QIDQ880283

Noel G. Lloyd, Jane M. Pearson, Joe M. Hill

Publication date: 15 May 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: http://pure.aber.ac.uk/ws/files/83252/Hill

zbMATH Keywords

center

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Related Items (9)

Solution of center-focus problem for a class of cubic systems ⋮ A complete classification on the center-focus problem of a generalized cubic Kukles system with a nilpotent singular point ⋮ Kukles revisited: Advances in computing techniques ⋮ Isochronicity and normal forms of polynomial systems of ODEs ⋮ Analytic Integrability of Two Lopsided Systems ⋮ Regular and singular pulse and front solutions and possible isochronous behavior in the short-pulse equation: phase-plane, multi-infinite series and variational approaches ⋮ On the linearization of isochronous centre of a modified Emden equation with linear external forcing ⋮ THE JACOBI LAST MULTIPLIER AND ISOCHRONICITY OF LIÉNARD TYPE SYSTEMS ⋮ Integrability and limit cycles in cubic Kukles systems with a nilpotent singular point

Uses Software

• Fermat

Cites Work

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• On Urabe's criteria of isochronicity
• Linearizability of three families of cubic systems
• Quadratic Isochronous centers commute
• A centre theorem for two-dimensional complex holomorphic systems and its generalization
• Coexisting Isochronous and Nonisochronous Centres
• Algorithmic Derivation of Centre Conditions
• Isochronous centers of a linear center perturbed by fifth degree homogeneous polynomials

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