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Attractor selection in nonlinear oscillators by temporary dual-frequency driving

Krähling, Péter; Steyer, Joshua 1; Parlitz, Ulrich; Hegedűs, Ferenc
1 Institut für Biomedizinische Technik (IBT), Karlsruher Institut für Technologie (KIT)

Abstract:

This paper presents a control technique capable of driving a harmonically driven nonlinear system between two distinct periodic orbits. A vital component of the method is a temporary dual-frequency driving with tunable driving amplitudes. Theoretical considerations revealed two necessary conditions: one for the frequency ratio of the dual-frequency driving and another one for torsion numbers of the two orbits connected by bifurcation curves in the extended dual-frequency driving parameter space. Although the initial and the final states of the control strategy are single-frequency driven systems with distinct parameter sets (frequencies and driving amplitudes), control of multistability is also possible via additional parameter tuning. The technique is demonstrated on the symmetric Duffing oscillator and the asymmetric Toda oscillator.


Verlagsausgabe §
DOI: 10.5445/IR/1000162626
Veröffentlicht am 29.09.2023
Originalveröffentlichung
DOI: 10.1007/s11071-023-08855-3
Scopus
Zitationen: 1
Dimensions
Zitationen: 1
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Biomedizinische Technik (IBT)
Publikationstyp Zeitschriftenaufsatz
Publikationsmonat/-jahr 10.2023
Sprache Englisch
Identifikator ISSN: 0924-090X, 1573-269X
KITopen-ID: 1000162626
Erschienen in Nonlinear Dynamics
Verlag Springer
Band 111
Heft 20
Seiten 19209–19224
Vorab online veröffentlicht am 12.09.2023
Schlagwörter Dual-frequency driving, Bifurcation structure, Nonlinear oscillators, Attractor selection, Control of multistability
Nachgewiesen in Web of Science
Dimensions
Scopus
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