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- Title
A Concise 4D Conservative Chaotic System with Wide Parameter Range, Offset Boosting Behavior and High Initial Sensitivity.
- Authors
Lu, Baoqing; Du, Juan; Du, Jiulong; Zhao, Zeyang
- Abstract
In this paper, we present a concise four-dimensional (4D) conservative chaotic system with a wide parameter range. Since there are no terms higher than first order, the circuit does not contain multipliers, resulting in a simple circuit implementation. The nonlinear dynamic characteristics, such as phase diagrams, equilibrium points, divergence, Poincaré cross-sections, Lyapunov exponents, bifurcation diagrams, and Lyapunov dimension, are analyzed in detail, which illustrates the conservativity. Besides, the system exhibits different offset boosting behaviors. Through offset boosting, the system can propagate along a line, convert signal polarity, control variable amplitude, generate coexisting attractors, and even induce changes in its state. Specially, we realize the transition from a single-vortex attractor to a multivortex one by some changes in the initial values. Furthermore, the Pearson correlation coefficient is used to demonstrate the higher initial value sensitivity of the system. Finally, the system is implemented through Multisim simulation and analog circuit separately, and their consistency validates the system effectively.
- Subjects
ANALOG circuits; PEARSON correlation (Statistics); BIFURCATION diagrams; ATTRACTORS (Mathematics); PHASE diagrams; BOOSTING algorithms; LYAPUNOV exponents
- Publication
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2024, Vol 34, Issue 7, p1
- ISSN
0218-1274
- Publication type
Article
- DOI
10.1142/S0218127424500809