Nonlocal transformations of the generalized Liénard type equations and dissipative Ermakov-Milne-Pinney systems

DOI10.1142/S021988781950107XzbMath1425.34052arXiv1905.00610OpenAlexW2951198851MaRDI QIDQ5233049

Anindya Ghose Choudhury, Partha Guha

Publication date: 13 September 2019

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.00610

zbMATH Keywords

nonlocal transformationcoupled Liénard systemdissipative Ermakov-Milne-Pinney equationlinearization problem of ODEs

Mathematics Subject Classification ID

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) Symmetries of infinite-dimensional dissipative dynamical systems (37L20)

Related Items (6)

On linearizability via nonlocal transformations and first integrals for second-order ordinary differential equations ⋮ Nonlocal deformations of autonomous invariant curves for Liénard equations with quadratic damping ⋮ Nonlocal Constants of Motions of Equations of Painlevé – Gambier Type and Generalized Sundman Transformation ⋮ Integrability and solvability of polynomial Liénard differential systems ⋮ Integrable geodesic flows and metrisable second-order ordinary differential equations ⋮ Linearizability conditions for the Rayleigh-like oscillators

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