Open AccessA Novel of New 7D Hyperchaotic System with Self-Excited Attractors and Its Hybrid Synchronization
Author(s) -
Ahmed S. Al-Obeidi,
Saad Fawzi Al-Azzawi,
Àbdulsattar Abdullah Hamad,
M. Lellis Thivagar,
Zelalem Meraf,
Sultan Ahmad
Publication year - 2021
Publication title -
computational intelligence and neuroscience
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.605
H-Index - 52
eISSN - 1687-5273
pISSN - 1687-5265
DOI - 10.1155/2021/3081345
Subject(s) - attractor , lyapunov exponent , synchronization (alternating current) , control theory (sociology) , nonlinear system , chaotic , equilibrium point , stability (learning theory) , quadratic equation , lyapunov stability , computer science , lorenz system , mathematics , topology (electrical circuits) , physics , control (management) , mathematical analysis , artificial intelligence , geometry , combinatorics , machine learning , quantum mechanics
In this study, a novel 7D hyperchaotic model is constructed from the 6D Lorenz model via the nonlinear feedback control technique. The proposed model has an only unstable origin point. Thus, it is categorized as a model with self-excited attractors. And it has seven equations which include 19 terms, four of which are quadratic nonlinearities. Various important features of the novel model are analyzed, including equilibria points, stability, and Lyapunov exponents. The numerical simulation shows that the new class exhibits dynamical behaviors such as chaotic and hyperchaotic. This paper also presents the hybrid synchronization for a novel model via Lyapunov stability theory.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom