Multistable dynamics and control of a new 4D memristive chaotic Sprott B system. (March 2022)

• Record Type: Journal Article
• Authors: Ramamoorthy, Ramesh; Rajagopal, Karthikeyan; Leutcho, Gervais Dolvis; Krejcar, Ondrej; Namazi, Hamidreza; Hussain, Iqtadar
• Is Part Of: Chaos, solitons and fractals. Volume 156(2022)
• Publication Date: 2022-03
• Subjects: Memristive Sprott B system -- Rotational symmetry -- Rotational symmetry broken -- Coexisting of bifurcations -- Partial amplitude control -- Control of the multistability; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2022.111834
• Languages: English
• ISSNs: 0960-0779

Abstract

Highlights: A new memristive chaotic Sprott B system is designed. The bias term in the model can adjust its symmetry. The introduced memristive system can turn from rotational symmetry to rotational symmetry broken. The designed system has coexisting attractors. The system exhibits the exciting phenomenon of partial amplitude control and offset boosting. Abstract: This 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.