Asymmetric Duffing oscillator: the birth and build-up of period doubling

Author:

Jan Kyzioł, Andrzej Okniński

Keyword:

Nonlinear Sciences, Chaotic Dynamics, Chaotic Dynamics (nlin.CD)

journal:

date:

2023-11-30 00:00:00

Abstract

In this work, we investigate the period doubling phenomenon in the periodically forced asymmetric Duffing oscillator. We use the known steady-state asymptotic solution -- the amplitude-frequency implicit function -- and known criterion for the existence of period doubling. Working in the framework of differential properties of implicit functions we derive analytical formulas for the birth of period-doubled solutions.

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