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AuthorRamesh, Ramamoorthy
AuthorRajagopal, Karthikeyan
AuthorLeutcho, Gervais Dolvis
AuthorKrejcar, Ondrej
AuthorNamazi, Hamidreza
AuthorHussain, Iqtadar
Available date2022-05-30T05:22:02Z
Publication Date2022-03-31
Publication NameChaos, Solitons & Fractals
Identifierhttp://dx.doi.org/10.1016/j.chaos.2022.111834
CitationRamamoorthy, Ramesh, Karthikeyan Rajagopal, Gervais Dolvis Leutcho, Ondrej Krejcar, Hamidreza Namazi, and Iqtadar Hussain. "Multistable dynamics and control of a new 4D memristive chaotic Sprott B system." Chaos, Solitons & Fractals 156 (2022): 111834.
ISSN09600779
URIhttps://www.sciencedirect.com/science/article/pii/S0960077922000455
URIhttp://hdl.handle.net/10576/31642
AbstractThis work proposes and investigates the dynamic behavior of a new memristive chaotic Sprott B system. One of the interesting features of this system is that it has a bias term that can adjust the symmetry of the proposed model, inducing both homogeneous and heterogeneous behaviors. Indeed, the introduced memristive system can turn from rotational symmetry (RS) to rotational symmetry broken (RSB) system in the presence or the absence of this bias term. In the RS system (i.e., absence of the bias term), pairs of symmetric attractors are formed, and the scenario of attractor merging is observed. Coexisting symmetric attractors and bifurcations with up to four solutions are perfectly investigated. In the RSB system (i.e., the bias term is non-zero), many interesting phenomena are demonstrated, including asymmetric attractors, coexisting asymmetric bifurcations, various types of coexisting asymmetric solutions, and period-doubling transition to chaos. We perfectly demonstrate that the new asymmetric/symmetric memristive system exhibits the exciting phenomenon of partial amplitude control (PAC) and offset boosting. Also, we show how it is possible to control the amplitude and the offset of the chaotic signals generated for some technological exploitation. Finally, coexisting solutions (i.e., multistability) found in the novel memristive system are further controlled based on a linear augmentation (LA) scheme. Our numerical findings demonstrated the effectiveness of the control technic through interior crisis, reverse period-doubling scenario, and symmetry restoring crisis. The coupled memristive system remains stable with its unique survived periodic attractor for higher values of the coupling strength.
Languageen
PublisherElsevier
SubjectMemristive Sprott B system
Rotational symmetry
Rotational symmetry broken
Coexisting of bifurcations
Partial amplitude control
Control of the multistability
TitleMultistable dynamics and control of a new 4D memristive chaotic Sprott B system
TypeArticle
Volume Number156
Open Access user License http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.accessType Open Access


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