On the integrability and perturbations of systems of ODE's with nonlinear superposition principles

DOI10.1016/0167-2789(86)90179-XzbMath0598.34005OpenAlexW2057633259MaRDI QIDQ1079714

Pavel Winternitz, V. G. Papageorgiou, Tassos C. Bountis

Publication date: 1986

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(86)90179-x

zbMATH Keywords

perturbationschaotic behaviorfirst order differential equationnonlinear superposition principles

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Dynamical systems with hyperbolic behavior (37D99)

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• On the complete and partial integrability of non-Hamiltonian systems
• Classification of systems of nonlinear ordinary differential equations with superposition principles

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