Synthesis of oscillators for exact desired periodic solutions having a finite number of harmonics

DOI10.1007/s11071-018-4492-7zbMath1422.34137OpenAlexW2884995504WikidataQ129462516 ScholiaQ129462516MaRDI QIDQ2274979

René Bartkowiak, Christoph Woernle

Publication date: 2 October 2019

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-018-4492-7

zbMATH Keywords

exact solutionlimit cyclealgebraic curvepotential functionoscillator synthesis

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

Cites Work

• Synchronization. From simple to complex
• Implicitization of parametric curves by matrix annihilation
• A transfer principle in the real plane from nonsingular algebraic curves to polynomial vector fields
• Engineering entrainment and adaptation in limit cycle systems
• A general family of morphed nonlinear phase oscillators with arbitrary limit cycle shape
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