On one conjecture in the theory of isochronous Liénard systems

DOI10.1134/S0012266117100019zbMath1402.34032WikidataQ123347378 ScholiaQ123347378MaRDI QIDQ1701765

V. V. Amel'kin

Publication date: 27 February 2018

Published in: Differential Equations (Search for Journal in Brave)

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) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20)

Related Items (6)

Invariant algebraic curves for Liénard dynamical systems revisited ⋮ Positive solution of one conjecture in the theory of polynomial isochronous centers of Liénard systems ⋮ Higher-order strong isochronism of Cauchy-Riemann systems with holomorphic perturbations of a linear center ⋮ Centers and isochronous centers of Newton systems with force function quadratic in velocities ⋮ Centers and isochronous centers of Liénard systems ⋮ Isochronous and strongly isochronous foci of polynomial Liénard systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the order of strong isochronicity of plane dynamical systems
• On period functions of Liénard systems
• Isochronicity and commutation of polynomial vector fields
• On the classification of Liénard systems with amplitude-independent periods
• Strong isochronicity of the Liénard system
• Hypernormal Form for the Hopf-Zero Bifurcation
• Isochronicity via normal form

This page was built for publication: On one conjecture in the theory of isochronous Liénard systems