Relaxation oscillation in one-parameter families of Liénard equations

Pedro Toniol Cardin, Douglas s Duarte Novae

Resumo


In this work we study the asymptotic behavior of periodic solutions in one- parameter (λ > 0) families of Liénard differential equations, for large values of λ. Under certain conditions, we prove the existence of a relaxation oscillation, occurring upon variation of the parameter.


Palavras-chave


Liénard equation, periodic solution, relaxation oscillation.

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DOI: https://doi.org/10.5540/03.2020.007.01.0427

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