Cited by A new two-parameter controllable multi-scroll 4D Hamiltonian conservative hyperchaotic system with improved nested COS-PWL function

Multistability and multi-spiral chaotic sea in a novel 3-D system with a line of equilibrium DOI

Zaamoune Faiza, Imad Eddine Tinedert, Tidjani Menacer

et al.

Physica Scripta, Journal Year: 2025, Volume and Issue: 100(3), P. 035226 - 035226

Published: Feb. 19, 2025

Abstract This paper introduces a novel chaotic system that features line of equilibrium and unique multi-spiral sea. Unlike classical conservative systems, this model cannot directly exhibit zero divergence but its property can be confirmed by the sum Lyapunov exponents. In addition, is shown to support generation coexisting nested hidden tori under specific parameter initial conditions. The detailed dynamic analysis presented using bifurcation diagrams, exponent, phase portrait. corresponding analog circuit designed with circuitry simulations results verify theoretical predictions numerical simulations.

Language: Английский

Citations

System design and dynamic analysis of a new type of controllable multi-scroll chaotic system and its application in multi-image encryption DOI

Jie Fang, Na Guo, Jiabin Wang

et al.

Research Square (Research Square), Journal Year: 2025, Volume and Issue: unknown

Published: May 22, 2025

Abstract In this paper, a new type of controllable and switchable multi-scroll chaotic system family is proposed designed based on sign function switching. The mathematical model the includes terms summation section function. phase diagram equilibrium point are theoretically analyzed numerically simulated, which indicate that can exhibit more complex topological structures dynamic behaviors. By selecting different switching parameters, present honeycomb-shaped or twist-shaped attractors in plane. number generated scrolls be controlled by adjusting upper bound 4×3 chosen as example to analyze behavior, such Lyapunov exponent spectrum, bifurcation diagram, maximum exponent. corresponding analog circuit verify correctness feasibility system. Finally, combined with improved Hilbert curve RNA diffusion for multi-image encryption. approach demonstrates excellent encryption performance.

Language: Английский

Citations

Energy criterion for synchronization of neuron populations DOI

Yao Zhao,