Multi-scroll hidden attractors in improved Sprott A system

Hu, Xiaoyu; Liu, Chongxin; Liu, Ling; Ni, Junkang; Li, Shilei

doi:10.1007/s11071-016-2989-5

Cited by 82 publications

(31 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…According to the definition of hidden attractors, the system's attractors belong to hidden attractors. Its basin of attraction does not contain neighborhoods of equilibria [32,33].…”

Section: Model Of the New Chaotic Systemmentioning

confidence: 99%

Dynamics and Entropy Analysis for a New 4-D Hyperchaotic System with Coexisting Hidden Attractors

Liu

Zhang

et al. 2019

Entropy

View full text Add to dashboard Cite

This paper presents a new no-equilibrium 4-D hyperchaotic multistable system with coexisting hidden attractors. One prominent feature is that by varying the system parameter or initial value, the system can generate several nonlinear complex attractors: periodic, quasiperiodic, multiple topology chaotic, and hyperchaotic. The dynamics and complexity of the proposed system were investigated through Lyapunov exponents (LEs), a bifurcation diagram, a Poincaré map, and spectral entropy (SE). The simulation and calculation results show that the proposed multistable system has very rich and complex hidden dynamic characteristics. Additionally, the circuit of the chaotic system is designed to verify the physical realizability of the system. This study provides new insights into uncovering the dynamic characteristics of the coexisting hidden attractors system and provides a new choice for nonlinear control or chaotic secure communication technology.

show abstract

“…According to the definition of hidden attractors, the system's attractors belong to hidden attractors. Its basin of attraction does not contain neighborhoods of equilibria [32,33].…”

Section: Model Of the New Chaotic Systemmentioning

confidence: 99%

Dynamics and Entropy Analysis for a New 4-D Hyperchaotic System with Coexisting Hidden Attractors

Liu

Zhang

et al. 2019

Entropy

View full text Add to dashboard Cite

show abstract

“…Most of the well-known dynamical systems can generate finite number of attractors, and some dynamical systems can be controlled to generate infinite number of attractors by generating infinite equilibrium points, which can be realized by using nonlinear function such as step function, Jerk function. As a result, multi-scroll attractors [17,38,67] can be induced in the dynamical systems. More interesting, hidden attractors have been paid much attention and the dynamics transition is investigated by modulating the constraint formula on equilibrium points [14,15,16,17,50,58,69].…”

Section: Doi: 1014736/kyb-2018-4-0648mentioning

confidence: 99%

“…As a result, multi-scroll attractors [17,38,67] can be induced in the dynamical systems. More interesting, hidden attractors have been paid much attention and the dynamics transition is investigated by modulating the constraint formula on equilibrium points [14,15,16,17,50,58,69]. In fact, the dynamics of system is much dependent on the parameter region and nonlinear interaction function as well.…”

Section: Doi: 1014736/kyb-2018-4-0648mentioning

confidence: 99%

Dependence of hidden attractors on non-linearity and Hamilton energy in a class of chaotic system

Zhang¹,

Al-Saedi²,

Ma³

et al. 2018

Kybernetika

View full text Add to dashboard Cite

show abstract

“…Although there exist a large number of published studies describing chaotic systems with a countable number of saddle equilibrium points, chaotic systems without equilibrium have been subjected to considerable discussions recently [15,24,49,50,53]. Hidden attractors are important in engineering applications because they allow the understanding of some unexpected and potentially disastrous behaviors in structures like: nonlinear power supply, bridges, electrical transport lines, aircraft wing and so on [17].…”

Section: Introductionmentioning

confidence: 99%

Numerical, electronic simulations and experimental analysis of a no-equilibrium point chaotic circuit with offset boosting and partial amplitude control

et al. 2019

View full text Add to dashboard Cite

This paper investigates numerically and experimentally an electronic circuit modelling the dynamics of a system without equilibrium point recently introduced by Shahzad et al. (Eur Phys J Spec Top 224:1637-1652, 2015). By varying the parameters of the electronic circuit, new behaviors are found including antimonotonicity, chaotic bistable hidden attractors, chaotic bubble hidden attractors, offset boosting and partial amplitude control. Another outcome of this paper is the forward and reversed interior crisis features found in a chaotic circuit without equilibrium point. Laboratory experiments and PSIM simulations are carried out to confirm results predicted by numerical simulations.

show abstract

Multi-scroll hidden attractors in improved Sprott A system

Cited by 82 publications

References 37 publications

Dynamics and Entropy Analysis for a New 4-D Hyperchaotic System with Coexisting Hidden Attractors

Dynamics and Entropy Analysis for a New 4-D Hyperchaotic System with Coexisting Hidden Attractors

Dependence of hidden attractors on non-linearity and Hamilton energy in a class of chaotic system

Numerical, electronic simulations and experimental analysis of a no-equilibrium point chaotic circuit with offset boosting and partial amplitude control

Contact Info

Product

Resources

About