THE JACOBI LAST MULTIPLIER AND ISOCHRONICITY OF LIÉNARD TYPE SYSTEMS

DOI10.1142/S0129055X13300094zbMath1278.34040OpenAlexW2039308713MaRDI QIDQ2846472

Anindya Ghose Choudhury, Partha Guha

Publication date: 5 September 2013

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129055x13300094

zbMATH Keywords

isochronicityJacobi's last multiplierUrabe function

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) Symmetries, invariants of ordinary differential equations (34C14)

Related Items (8)

Monotonicity of the period function of the Liénard equation of second kind ⋮ Lie point symmetries classification of the mixed Liénard-type equation ⋮ On the connection of the quadratic Liénard equation with an equation for the elliptic functions ⋮ Liénard Equation and Its Generalizations ⋮ Chiellini integrability condition, planar isochronous systems and Hamiltonian structures of Liénard equation ⋮ Regular and singular pulse and front solutions and possible isochronous behavior in the short-pulse equation: phase-plane, multi-infinite series and variational approaches ⋮ Branched Hamiltonians and time translation symmetry breaking in equations of the Liénard type ⋮ Isochronicity conditions and Lagrangian formulations of the Hirota type oscillator equations

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