The existence of a stable limit cycle in the Liénard-Levinson-Smith (LLS) equation beyond the LLS theorem

DOI10.1016/J.CNSNS.2022.106311WikidataQ113877803 ScholiaQ113877803MaRDI QIDQ6495286

Gautam Gangopadhyay, Sandip Saha

Publication date: 30 April 2024

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

limit cycle oscillationvan der Pol oscillatorKrylov-Bogolyubov (K-B) averaging methodLiénard-Levinson-Smith (LLS) oscillator

Mathematics Subject Classification ID

Biology and other natural sciences (92-XX) Qualitative theory for ordinary differential equations (34Cxx) Asymptotic theory for ordinary differential equations (34Exx)

Cites Work

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• When an oscillating center in an open system undergoes power law decay
• A general equation for relaxation oscillations
• Transformation theory of non-linear differential equations of the second order
• FRACTIONAL VAN DER POL EQUATIONS
• Isochronous Systems

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