https://doi.org/10.1140/epjp/s13360-022-03268-4
Regular Article
A novel type of chaotic attractor with a multiunit structure: from multiscroll attractors to multi-bond orbital attractors
1
College of Electrical and Information Engineering, Hunan University, 410082, Changsha, People’s Republic of China
2
School of Computer Science, Hunan University of Technology and Business, 410205, Changsha, People’s Republic of China
Received:
24
June
2022
Accepted:
4
September
2022
Published online:
15
September
2022
Traditional multiunit structure chaotic attractors (MUCAs) are mainly limited to several routine topologies (scroll, wing, and torus) in terms of unit structure topology. Recently, an emerging chaotic attractor with bond orbital topology and scalable unit structure was discovered, which belongs to but is different from conventional self-excited (SE) MUCAs, and was named as bond orbital chaotic attractor (BOCA) due its dominant bond orbital topology. This paper continues the in-depth exploration of this phenomenon, mining methods to generate multi-bond orbital chaotic attractor (MBOCA) with a circuit-reproducible basis in a simpler system, and presents the exploration process. Various dynamic numerical calculation and analysis methods, such as phase portraits, LE spectra, time-domain waveform diagrams, bifurcation diagrams, attraction basins, and Poincare maps, as well as equilibrium calculation and quantitative analysis for stability, eigenplane and eigenvector calculation, symmetry and dissipation analysis, have been exploited to conduct targeted research on the BOCAs or its periodic counterpart. Finally, a comparative analysis with routine SE MUCAs is performed, and some properties of (M)BOCAs are summarized and listed. In a word, the emergence of this new phenomenon of chaotic attractor breaks the long-established MUCA framework and exhibits some novel dynamical behaviors. In other words, the research in this paper can add a new member to the SE MUCA family, provide another class of candidates for chaos-based encryption applications, and even open a new door for the study of SE chaotic attractors and MUCAs.
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