Asymptotic approximations of first integrals for a nonlinear oscillator

DOI10.1016/S0362-546X(01)00900-2zbMath1047.34038MaRDI QIDQ1849039

S. B. Waluya, Wim T. van Horssen

Publication date: 28 November 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

perturbation methodfirst integralintegrating factorintegrating vectorasymptotic approximation of first integrals

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Explicit solutions, first integrals of ordinary differential equations (34A05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (1)

First integrals and analytical solutions of some dynamical systems

Cites Work

• Normal forms and periodic solutions in the theory of nonlinear oscillations. Existence and asymptotic theory
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Bifurcation of limit cycles in a particular class of quadratic systems
• Multiple scale and singular perturbation methods
• A Perturbation Method Based on Integrating Factors
• A Perturbation Method Based on Integrating Vectors and Multiple Scales
• Bifurcations of strongly non‐linear self‐excited oscillations
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