Reversals of period doubling, coexisting multiple attractors, and offset boosting in a novel memristive diode bridge-based hyperjerk circuit

Kengne, Jacques; Leutcho, Gervais Dolvis; Telem, Adélaïde Nicole Kengnou

doi:10.1007/s10470-018-1372-5

Cited by 26 publications

(7 citation statements)

References 85 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…is feature has been reported in few chaotic systems previously [54,55]. From the perspective of engineering application, the offset boosting control is important since it represents a useful alternative to control the amplitude and voltage level of the state variable for signal transformation and transmission.…”

Section: Offset Boosting Controlmentioning

confidence: 95%

Dynamic Analysis and Circuit Realization of a Novel No-Equilibrium 5D Memristive Hyperchaotic System with Hidden Extreme Multistability

Wan

Zhou

et al. 2020

Complexity

View full text Add to dashboard Cite

In this paper, a novel no-equilibrium 5D memristive hyperchaotic system is proposed, which is achieved by introducing an ideal flux-controlled memristor model and two constant terms into an improved 4D self-excited hyperchaotic system. The system parameters-dependent and memristor initial conditions-dependent dynamical characteristics of the proposed memristive hyperchaotic system are investigated in terms of phase portrait, Lyapunov exponent spectrum, bifurcation diagram, Poincaré map, and time series. Then, the hidden dynamic attractors such as periodic, quasiperiodic, chaotic, and hyperchaotic attractors are found under the variation of its system parameters. Meanwhile, the most striking phenomena of hidden extreme multistability, transient hyperchaotic behavior, and offset boosting control are revealed for appropriate sets of the memristor and other initial conditions. Finally, a hardware electronic circuit is designed, and the experimental results are well consistent with the numerical simulations, which demonstrate the feasibility of this novel 5D memristive hyperchaotic system.

show abstract

Section: Offset Boosting Controlmentioning

confidence: 95%

Dynamic Analysis and Circuit Realization of a Novel No-Equilibrium 5D Memristive Hyperchaotic System with Hidden Extreme Multistability

Wan

Zhou

et al. 2020

Complexity

View full text Add to dashboard Cite

show abstract

“…If not, the stable states produced will remain symmetric if the real symmetry of the attractors has already been re-established. is approach has been widely exploited recently to find coexisting attractors in symmetrical systems such as jerk [6,8,[52][53][54][55][56], hyperchaotic and chaotic Chua's oscillators [3,44,[57][58][59], Hopfield neural networks [10,36,60,61], and Duffing oscillator [9], just to name a few. In addition, it is easy to show that the model processes three equilibrium points given by the following expression: S 0 � 0 0 0 , and S…”

Section: Description Of Chua's Oscillator With Smooth Nonlinearitymentioning

confidence: 99%

Control of Coexisting Attractors with Preselection of the Survived Attractor in Multistable Chua’s System: A Case Study

Njitacke

Fozin²,

Tchapga

et al. 2020

Complexity

Self Cite

View full text Add to dashboard Cite

Although the control of multistability has already been reported, the one with preselection of the desired attractor is still uncovered in systems with more than two coexisting attractors. This work reports the control of coexisting attractors with preselection of the survived attractors in paradigmatic Chua’s system with smooth cubic nonlinearity. Techniques of linear augmentation combined to system invariant parameters like equilibrium points are used to choose the desired surviving attractors among the coexisting ones. Nonlinear dynamical tools including bifurcation diagrams, standard Lyapunov exponents, phase portraits, and cross section of initial conditions are exploited to reveal the selection scenarios of the survived attractor in the multistability control process of Chua’s system. The main crisis towards annihilation of multistability in Chua’s system when varying the coupling strength is interior crisis and border collision. Theoretical and numerical results obtained are further validated with PSpice analysis.

show abstract

“…Researchers pays great effort to learn how to get those attractors controlled by parameters (Li et al 2017b;Kingni et al 2020;Ma et al 2021;Zhang et al 2018;Mezatio et al 2019) or by initial conditions (Bao et al 2020;Chen et al 2020;Zhang et al 2020;Wu et al 2019a;Ding et al 2020). Even in those memristive systems (Chen et al 2019;Kengne et al 2018;Lu et al 2020;Wu et al 2019b;Yuan et al 2019) offset boosting is still a hot spot for discussion.…”

Section: Introductionmentioning

confidence: 99%

On Offset Boosting in Chaotic System

Jiang

2021

Chaos Theory and Applications

View full text Add to dashboard Cite

Offset boosting is an important issue for chaos control due to its broadband property and polarity control. There are two main approaches to realize offset boosting. One is resort to parameter introducing where an offset booster realizes attractor boosting. The other one is by the means of periodic function or absolute value function where any self-reproduced or doubled attractors with diverse offset are extracted out by a specific initial condition. The former also provides a unique window for observing multistability and the latter gives the direction for constructing desired multistability.

show abstract

Reversals of period doubling, coexisting multiple attractors, and offset boosting in a novel memristive diode bridge-based hyperjerk circuit

Cited by 26 publications

References 85 publications

Dynamic Analysis and Circuit Realization of a Novel No-Equilibrium 5D Memristive Hyperchaotic System with Hidden Extreme Multistability

Dynamic Analysis and Circuit Realization of a Novel No-Equilibrium 5D Memristive Hyperchaotic System with Hidden Extreme Multistability

Control of Coexisting Attractors with Preselection of the Survived Attractor in Multistable Chua’s System: A Case Study

On Offset Boosting in Chaotic System

Contact Info

Product

Resources

About