Parametric control for multiscroll generation: Electronic implementation and equilibrium analysis

Echenausía-Monroy, J.L.; García-López, J. H.; Jaimes-Reátegui, R.; Huerta-Cuéllar, G.

doi:10.1016/j.nahs.2020.100929

Cited by 13 publications

(14 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Data files contain the three states variables of the electronic circuit, arranged in columns with a length of 95,000 elements. For a better description of the mathematical model that describes the multi-scroll generator, as well as a further analysis in the phenomenon that controls the generation of attractors with a different number of scrolls, consult [1] .…”

Section: Experimental Design Materials and Methodsmentioning

confidence: 99%

“…The dynamical system implemented in the electronic circuit is governed by the set of equations shown in Eq. (1) , better described in [ 1 , [3] , [4] , [5] , [6] ].

…”

Section: Experimental Design Materials and Methodsmentioning

confidence: 99%

“…1 Circuit diagram of the linear operator from the implemented multi-scroll generator system. The elements values used for electronic implementation are described in the figure, and better described in [1] .

Fig.…”

Section: Data Descriptionmentioning

confidence: 99%

“…Moreover, the implemented system produces a family of bistable behaviors. The authors report the phenomenon in [1] , where a complete analysis in the system has been carried out.…”

mentioning

confidence: 99%

See 3 more Smart Citations

Electronic implementation dataset to monoparametric control the number of scrolls generated

et al. 2020

Self Cite

View full text Add to dashboard Cite

The increasing usage of chaotic systems in the development of security systems, from mobile surveillance devices to the implementation of secure communication systems, leads to devising analog electronic implementations of research. This article presents the electronic implementation dataset from a multi-scroll chaotic system capable of generates until 9-scrolls throughout a monoparametric control based on a Saturated Non-Lineal Function (SNLF). The implemented system controls the number of generated scrolls being capable of producing attractors of single scroll and attractors with 3, 5, 7, and 9-scrolls. Moreover, the implemented system produces a family of bistable behaviors. The authors report the phenomenon in [1] , where a complete analysis in the system has been carried out.

show abstract

Section: Experimental Design Materials and Methodsmentioning

confidence: 99%

“…The dynamical system implemented in the electronic circuit is governed by the set of equations shown in Eq. (1) , better described in [ 1 , [3] , [4] , [5] , [6] ].

…”

Section: Experimental Design Materials and Methodsmentioning

confidence: 99%

Fig.…”

Section: Data Descriptionmentioning

confidence: 99%

“…Moreover, the implemented system produces a family of bistable behaviors. The authors report the phenomenon in [1] , where a complete analysis in the system has been carried out.…”

mentioning

confidence: 99%

See 2 more Smart Citations

Electronic implementation dataset to monoparametric control the number of scrolls generated

et al. 2020

Self Cite

View full text Add to dashboard Cite

show abstract

“…Image encryption based on the Bogdanov map is very applicable [32,33]. Control is an important challenge in the study of chaotic dynamics [34][35][36].…”

Section: Introductionmentioning

confidence: 99%

Predicting Tipping Points in Chaotic Maps with Period‐Doubling Bifurcations

Ramesh

Rajagopal

et al. 2021

Complexity

View full text Add to dashboard Cite

In this paper, bifurcation points of two chaotic maps are studied: symmetric sine map and Gaussian map. Investigating the properties of these maps shows that they have a variety of dynamical solutions by changing the bifurcation parameter. Sine map has symmetry with respect to the origin, which causes multistability in its dynamics. The systems’ bifurcation diagrams show various dynamics and bifurcation points. Predicting bifurcation points of dynamical systems is vital. Any bifurcation can cause a huge wanted/unwanted change in the states of a system. Thus, their predictions are essential in order to be prepared for the changes. Here, the systems’ bifurcations are studied using three indicators of critical slowing down: modified autocorrelation method, modified variance method, and Lyapunov exponent. The results present the efficiency of these indicators in predicting bifurcation points.

show abstract

Multi-scroll in bidirectional coupling schemes of two second-order non-oscillatory systems: theoretical analysis and PSpice implementation

Hermann-Dior

Kemgang

Shukhratovich

et al. 2023

Int. J. Dynam. Control

View full text Add to dashboard Cite

Parametric control for multiscroll generation: Electronic implementation and equilibrium analysis

Cited by 13 publications

References 30 publications

Electronic implementation dataset to monoparametric control the number of scrolls generated

Electronic implementation dataset to monoparametric control the number of scrolls generated

Predicting Tipping Points in Chaotic Maps with Period‐Doubling Bifurcations

Multi-scroll in bidirectional coupling schemes of two second-order non-oscillatory systems: theoretical analysis and PSpice implementation

Contact Info

Product

Resources

About