https://doi.org/10.1140/epjs/s11734-023-00950-1
Regular Article
Hidden and self-excited attractors in an extended Sprott C system with two symmetric or asymmetric equilibrium points
College of Physics and Electronic Engineering, Northeast Petroleum University, No. 99, Xuefu Street, 163318, Daqing, China
Received:
15
December
2022
Accepted:
19
July
2023
Published online:
28
July
2023
In this paper, the Sprott C chaotic system is extended by a three-variable quadratic nonlinear function, which can generate two symmetric or asymmetric equilibrium points. Based on the Routh–Hurwitz criterion, the range of equilibrium stability of the system is determined. The dynamics of system are analyzed using bifurcation diagrams to obtain complex dynamical behavior of the system from period-doubling bifurcation to chaos. The hidden behavior is investigated by adjusting three parameters, and with the change of equilibrium stability, it is found that there are hidden attractors and self-excited attractors under two asymmetric equilibrium points, and only self-excited attractors under two symmetric equilibrium points. The hidden attractor of the system is verified by the cross section of attraction basins. The complexity spectrum of the system with parameter variation is calculated using the fuzzy entropy algorithm, spectral entropy (SE) algorithm, and 
algorithm. The system circuit is designed using Multisim software, and circuit simulation of hidden attractors and self-excited attractors are realized, consistent with MATLAB numerical simulation results.
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