https://doi.org/10.1140/epjp/i2019-13005-5
Regular Article
Dynamics of a new hyperchaotic system and multistability
1
Faculty of Defence Science and Technology, Universiti Pertahanan Nasional Malaysia, Sungai Besi, Malaysia
2
Information Technology College, Department of Communications Technologies Engineering, Imam Ja’afar Al-Sadiq University, Baghdad, Iraq
3
Centre for Defence Foundation Studies, Universiti Pertahanan Nasional Malaysia, Sungai Besi, Malaysia
4
Cyber Security Centre, Universiti Pertahanan Nasional Malaysia, Sungai Besi, Malaysia
5
Institute for Mathematical Research, Universiti Putra Malaysia, Serdang, Malaysia
6
Malaysia-Italy Centre of Excellence for Mathematical Science, University Putra Malaysia, Serdang, Malaysia
* e-mail: santoban@gmail.com
Received:
6
August
2019
Accepted:
16
September
2019
Published online:
9
October
2019
In this paper, a new 4D hyperchaotic system is proposed. By boosting a trigonometric function into a single variable, the system produces different multistable regions. Bifurcation diagrams and cross-section of basins can quantify the presence of coexisting attractors. Furthermore, a nonlinear controller is implemented, which can shift the coexisting attractor in the negative region in the phase space and merge it to the positive region, for a threshold value of the control parameter. It has also been noticed that complexity increases with the addition of the nonlinear controller, when the coexisting attractors shift to the positive region in the phase space.
© Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2019