Abstract
In this paper, inspired by a newly proposed two-dimensional nonlinear oscillator with an infinite number of coexisting attractors, a modified nonlinear oscillator is proposed. The original system has an exciting feature of having layer–layer coexisting attractors. One of these attractors is self-excited while the rest are hidden. By forcing this system with its twin, a new four-dimensional nonlinear system is obtained which has an infinite number of coexisting torus attractors, strange attractors, and limit cycle attractors. The entropy, energy, and homogeneity of attractors’ images and their basin of attractions are calculated and reported, which showed an increase in the complexity of attractors when changing the bifurcation parameters.
Highlights
A Giga-Stable Oscillator with Hidden andThoai Phu Vo 1 , Yeganeh Shaverdi 2 , Abdul Jalil M
In dynamic systems, there exists a type of categorization, which divides these systems into two groups: the first group includes systems which have self-exited attractors, and the second group includes systems with hidden attractors [1,2]
This result proves that the Entropy of chaotic attractor images is higher than that of
Summary
Thoai Phu Vo 1 , Yeganeh Shaverdi 2 , Abdul Jalil M. Alsaadi 4 , Tasawar Hayat 5,6 and Viet-Thanh Pham 7, *. Nonlinear Systems and Applications, Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam
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