Year 2020, Volume 2 , Issue 2, Pages 77 - 89 2020-11-30

Multistability and its Annihilation in the Chua’s Oscillator with Piecewise-Linear Nonlinearity

Zeric NJITACKE [1] , Théophile FOZİN [2] , Léandre KAMDJEU KENGNE [3] , Gervais LEUTCHO, [4] , Edwige Mache KENGNE [5] , Jacques KENGNE [6]


This contribution uncovers numerical evidence of hysteric dynamical behaviors for the same set of the circuit parameters of the Chua’s circuit with traditional piecewise-linear nonlinearity. Stationary points and the symmetry property of the model first forecast the possible evidence of coexisting attractors. Then, well known nonlinear analysis approach based on the bifurcation diagrams, two-parameter diagrams, phase portraits, two parameter Lyapunov exponent diagrams, graph of maximum Lyapunov exponents, and attraction basins are exploited to characterize the dynamical behavior of the oscillator including coexisting orbits. Finally, the simultaneous existence of both periodic and chaotic orbits highlighted in the Chua’s oscillator is also annihilated based on linear controller. Numerical findings indicate control method ’s efficacy by combining two periodic routes and one chaotic route with another chaotic route.
Chua’s oscillator, Chaotic systems, piecewise-linear nonlinearity, Multistability control, merging crisis
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Primary Language en
Subjects Engineering, Multidisciplinary
Journal Section Research Articles
Authors

Orcid: 0000-0001-7797-8929
Author: Zeric NJITACKE (Primary Author)
Institution: University of Buea
Country: Cameroon


Orcid: 0000-0001-7385-5462
Author: Théophile FOZİN
Institution: University of Buea
Country: Cameroon


Orcid: 0000-0002-9197-8711
Author: Léandre KAMDJEU KENGNE
Institution: University of Dschang
Country: Cameroon


Orcid: 0000-0001-8395-4480
Author: Gervais LEUTCHO,
Institution: University of Mons
Country: Belgium


Orcid: 0000-0001-6572-389X
Author: Edwige Mache KENGNE
Institution: University of Dschang
Country: Cameroon


Orcid: 0000-0002-1165-1808
Author: Jacques KENGNE
Institution: University of Dschang
Country: Cameroon


Dates

Publication Date : November 30, 2020

APA Njıtacke, Z , Fozin, T , Kamdjeu Kengne, L , Leutcho,, G , Kengne, E , Kengne, J . (2020). Multistability and its Annihilation in the Chua’s Oscillator with Piecewise-Linear Nonlinearity . Chaos Theory and Applications , 2 (2) , 77-89 . Retrieved from https://dergipark.org.tr/en/pub/chaos/issue/54264/765405