Coexisting attractors and basins of attraction of an extended forced Duffing oscillator

Isabelle L. Soares (), Marcelo F. Krol () and Paulo C. Rech ()
Additional contact information
Isabelle L. Soares: Universidade do Estado de Santa Catarina
Marcelo F. Krol: Universidade do Estado de Santa Catarina
Paulo C. Rech: Universidade do Estado de Santa Catarina

The European Physical Journal B: Condensed Matter and Complex Systems, 2024, vol. 97, issue 6, 1-6

Abstract: Abstract In this paper we investigate the dynamics of an extended form of a symmetric Duffing oscillator driven by a periodic force $$F(t)=A \cos \omega t$$ F ( t ) = A cos ω t . The system is modeled by a second-order nonautonomous nonlinear ordinary differential equation, and controlled by seven parameters. Our study takes into account the $$(\omega ,A)$$ ( ω , A ) parameter plane of the system, consequently keeping the other five parameters fixed. We verify the existence of parameter regions for which the corresponding trajectories in the phase-space are periodic or chaotic, delimiting therefore such regions in the $$(\omega ,A)$$ ( ω , A ) parameter plane. Finally, we use this same $$(\omega ,A)$$ ( ω , A ) parameter plane to locate multistability regions. Examples of basins of attraction of coexisting periodic and chaotic attractors are presented, as well as the related attractors. Graphic Abstract Projections of basins of attraction onto the xy plane of initial conditions for an extended forced Duffing oscillator. Black (Red) regions are related to a periodic (chaotic) attractor basin of attraction.

Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1140/epjb/s10051-024-00709-0 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:eurphb:v:97:y:2024:i:6:d:10.1140_epjb_s10051-024-00709-0

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/10051

DOI: 10.1140/epjb/s10051-024-00709-0

Access Statistics for this article

The European Physical Journal B: Condensed Matter and Complex Systems is currently edited by P. Hänggi and Angel Rubio

More articles in The European Physical Journal B: Condensed Matter and Complex Systems from Springer, EDP Sciences
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().