HARMONIC ANALYSIS OF OSCILLATORS THROUGH STANDARD NUMERICAL CONTINUATION TOOLS

DOI10.1142/S0218127410028161zbMath1208.34043arXiv1006.4931WikidataQ57829188 ScholiaQ57829188MaRDI QIDQ3086294

Federico Bizzarri, Bart E. Oldeman, Marco Storace, Daniele Linaro

Publication date: 30 March 2011

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.4931

zbMATH Keywords

harmonic analysisboundary value problemcontinuation methodsnonlinear oscillator

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical bifurcation problems (65P30)

Uses Software

• MATCONT

Cites Work

• Continuation of spiral waves
• A robust and efficient oscillator analysis technique using harmonic balance
• Global bifurcations of the Lorenz manifold
• On the Resonance Structure in a Forced Excitable System
• Analysis of stability and bifurcations of limit cycles in Chua's circuit through the harmonic-balance approach
• Nonlinear analysis of the Colpitts oscillator and applications to design
• BIFURCATIONS IN THE COLPITTS OSCILLATOR: FROM THEORY TO PRACTICE
• A frequency approach for analyzing and controlling chaos in nonlinear circuits
• Mixed-mode oscillations and slow manifolds in the self-coupled FitzHugh-Nagumo system
• A constructive method for finding the periodic response of nonlinear circuits
• MATCONT

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