Since 1963
ARTICLE
Asymmetric Duffing oscillator: the birth and build-up of a period-doubling cascade
1
Kielce University of Technology, Kielce, Poland
These authors had equal contribution to this work
Submission date: 2024-01-08
Final revision date: 2024-04-22
Acceptance date: 2024-09-27
Online publication date: 2024-10-03
Corresponding author
Andrzej Okniński
Faculty of Management and Computer Modelling, Politechnika Świętokrzyska, Al. 1000-lecia PP 7, 25-314, Kielce, Poland
Faculty of Management and Computer Modelling, Politechnika Świętokrzyska, Al. 1000-lecia PP 7, 25-314, Kielce, Poland
KEYWORDS
TOPICS
ABSTRACT
We investigate the period-doubling phenomenon in aperiodically 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, also in an
implicit form. 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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| eISSN: | 2543-6309 |
| ISSN: | 1429-2955 |
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