On the non-integrability of a family of Duffing-van der Pol oscillators

DOI10.1088/0305-4470/26/23/033zbMath0822.34007OpenAlexW1966173429MaRDI QIDQ4836524

No author found.

Publication date: 15 October 1995

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/26/23/033

zbMATH Keywords

non-integrabilityalgebraic singularitiesDuffing-van der Pol oscillators

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Explicit solutions, first integrals of ordinary differential equations (34A05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (8)

Investigating non-integrability and chaos in complex time ⋮ Transition to chaos in the self-excited system with a cubic double well potential and parametric forcing ⋮ Performance of chaos diagnostics based on Lagrangian descriptors. Application to the 4D standard map ⋮ Flip and Neimark-Sacker bifurcations in a coupled logistic map system ⋮ Master-slave synchronization in the Duffing-van der Pol and \(\Phi^6\) Duffing oscillators ⋮ Evidence of a natural boundary and nonintegrability of the mixmaster universe model ⋮ Novel algebraic aspects of Liouvillian integrability for two-dimensional polynomial dynamical systems ⋮ A simple and unified approach to identify integrable nonlinear oscillators and systems

This page was built for publication: On the non-integrability of a family of Duffing-van der Pol oscillators