A new two-scroll 4-D hyperchaotic system with a unique saddle point equilibrium, its bifurcation analysis, circuit design and a control application to complete synchronization

In this work, we present new results for a two-scroll 4-D hyperchaotic system with a unique saddle point equilibrium at the origin. The bifurcation and multi-stability analysis for the new hyperchaotic system are discussed in detail. As a control application, we develop a feedback control based on i...

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Bibliographic Details
Published in:Archives of control sciences 2023-01, Vol.33 (2), p.277-298
Main Authors: Vaidyanathan, Sundarapandian, Moroz, Irene M, Sambas, Aceng
Format: Article
Language:English
Subjects:
Aldehydes
bifurcation analysis
Bifurcations
Circuit design
circuit simulation
Eigenvalues
Equilibrium
Feedback control
hyperchaos
hyperchaotic systems
multi-stability analysis
multisim
Saddle points
Sliding mode control
Stability analysis
Synchronism
synchronization
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Summary:In this work, we present new results for a two-scroll 4-D hyperchaotic system with a unique saddle point equilibrium at the origin. The bifurcation and multi-stability analysis for the new hyperchaotic system are discussed in detail. As a control application, we develop a feedback control based on integral sliding mode control (ISMC) for the complete synchronization of a pair of two-scroll hyperchaotic systems developed in this work. Numerical simulations using Matlab are provided to illustrate the hyperchaotic phase portraits, bifurcation diagrams and synchronization results. Finally, as an electronic application, we simulate the new hyperchaotic system using Multisim for real-world implementations.
ISSN:1230-2384
2300-2611
DOI:10.24425/acs.2023.146276