Chiellini integrability condition, planar isochronous systems and Hamiltonian structures of Liénard equation

DOI10.3934/dcdsb.2017126zbMath1377.34002arXiv1608.02319OpenAlexW2962714087MaRDI QIDQ521515

Partha Guha, Anindya Ghose Choudhury

Publication date: 11 April 2017

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.02319

zbMATH Keywords

Lienard equationChiellini integrability condition

Mathematics Subject Classification ID

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) Nonlinear ordinary differential equations and systems (34A34) Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (7)

Symmetry reductions and exact solutions of two new generalized negative KdV type equations ⋮ Integrability and solvability of polynomial Liénard differential systems ⋮ Geometrical formulation of relativistic mechanics ⋮ Novel algebraic aspects of Liouvillian integrability for two-dimensional polynomial dynamical systems ⋮ On the integrability of the Abel and of the extended Liénard equations ⋮ Nonstandard Hamiltonian structures of the Liénard equation and contact geometry ⋮ Branched Hamiltonians and time translation symmetry breaking in equations of the Liénard type

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