Control of Coexisting Attractors with Preselection of the Survived Attractor in Multistable Chua’s System: A Case Study
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 paradigm...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/5191085 |
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| author | Zeric Tabekoueng Njitacke Theophile Fonzin Fozin Christian Tchito Tchapga Gervais Dolvis Leutcho K. Marcel Wouapi Jacques Kengne |
| author_facet | Zeric Tabekoueng Njitacke Theophile Fonzin Fozin Christian Tchito Tchapga Gervais Dolvis Leutcho K. Marcel Wouapi Jacques Kengne |
| author_sort | Zeric Tabekoueng Njitacke |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-5f84a710855840b4a194c7da4a954467 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-5f84a710855840b4a194c7da4a9544672025-02-03T06:05:18ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/51910855191085Control of Coexisting Attractors with Preselection of the Survived Attractor in Multistable Chua’s System: A Case StudyZeric Tabekoueng Njitacke0Theophile Fonzin Fozin1Christian Tchito Tchapga2Gervais Dolvis Leutcho3K. Marcel Wouapi4Jacques Kengne5Department of Electrical and Electronic Engineering, College of Technology (COT), University of Buea, P.O. Box 63, Buea, CameroonDepartment of Research, Development, Innovation and Training, Inchtech’s, Yaoundé, CameroonDepartment of Electrical and Electronic Engineering, College of Technology (COT), University of Buea, P.O. Box 63, Buea, CameroonResearch Unit of Automation and Applied Computer (URAIA), Electrical Engineering Department of IUT-FV, University of Dschang, P.O. Box 134, Bandjoun, CameroonResearch Unit of Condensed Matter, Electronics and Signal Processing (UR-MACETS) Department of Physics, Faculty of Sciences, University of Dschang, P.O. Box 67, Dschang, CameroonResearch Unit of Automation and Applied Computer (URAIA), Electrical Engineering Department of IUT-FV, University of Dschang, P.O. Box 134, Bandjoun, CameroonAlthough 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.http://dx.doi.org/10.1155/2020/5191085 |
| spellingShingle | Zeric Tabekoueng Njitacke Theophile Fonzin Fozin Christian Tchito Tchapga Gervais Dolvis Leutcho K. Marcel Wouapi Jacques Kengne Control of Coexisting Attractors with Preselection of the Survived Attractor in Multistable Chua’s System: A Case Study Complexity |
| title | Control of Coexisting Attractors with Preselection of the Survived Attractor in Multistable Chua’s System: A Case Study |
| title_full | Control of Coexisting Attractors with Preselection of the Survived Attractor in Multistable Chua’s System: A Case Study |
| title_fullStr | Control of Coexisting Attractors with Preselection of the Survived Attractor in Multistable Chua’s System: A Case Study |
| title_full_unstemmed | Control of Coexisting Attractors with Preselection of the Survived Attractor in Multistable Chua’s System: A Case Study |
| title_short | Control of Coexisting Attractors with Preselection of the Survived Attractor in Multistable Chua’s System: A Case Study |
| title_sort | control of coexisting attractors with preselection of the survived attractor in multistable chua s system a case study |
| url | http://dx.doi.org/10.1155/2020/5191085 |
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