Perturbative treatment of conservative and non-conservative oscillators

DOI10.1080/02681119108806119zbMath0748.34021OpenAlexW2013422650MaRDI QIDQ3990504

M. S. Seshadri

Publication date: 28 June 1992

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02681119108806119

zbMATH Keywords

nonlinear oscillatorscalculationLindstedt's method

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Theoretical approximation of solutions to ordinary differential equations (34A45) Perturbations of ordinary differential equations (34D10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Cites Work

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• Nonlinear ordinary differential equations in transport processes
• Construction of approximate analytical solutions to a new class of non-linear oscillator equations
• An intrinsic method of harmonic analysis for non-linear oscillations (a perturbation technique)
• Resonance and Symmetry Breaking for a Duffing Oscillator
• A generalization of the method of harmonic balance

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