Mirroring and nonlinear perturbation of a circuit's system with multiple attractors
We infix the duality-symmetric and the mirror symmetry conversion processes into a dynamical system representing an electric circuit diagram with three input (or output) as shown in Figure 2. Hence, a new non-linear variable order initial value problem is obtained and solved using the Haar wavelet...
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2024-11-01
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| Series: | Mathematical Modelling and Analysis |
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| Online Access: | https://transport.vgtu.lt/index.php/MMA/article/view/21033 |
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| _version_ | 1846149441422098432 |
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| author | Emile Franc Doungmo Goufo |
| author_facet | Emile Franc Doungmo Goufo |
| author_sort | Emile Franc Doungmo Goufo |
| collection | DOAJ |
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We infix the duality-symmetric and the mirror symmetry conversion processes into a dynamical system representing an electric circuit diagram with three input (or output) as shown in Figure 2. Hence, a new non-linear variable order initial value problem is obtained and solved using the Haar wavelet numerical method (HWNM). Error, stability and entropy analyzes show the reliability of the method. Numerical simulations are then implemented and show for the new system, existence of various attractors’ types (point attractors (PAs), limit cycles, strange attractors (SAs), double attractor (DA), coexisting attractors (CoAs)) with their mirror reflections. Both are in a symmetrical structure in which they face each other, separated by a changing symmetry line and exhibiting similar properties. The circuit implementation using a Field Programmable Gate Array (FPGA) is performed and concur with the expected results.
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| format | Article |
| id | doaj-art-1fcd402f94484c72b5500938745da7b5 |
| institution | Kabale University |
| issn | 1392-6292 1648-3510 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Mathematical Modelling and Analysis |
| spelling | doaj-art-1fcd402f94484c72b5500938745da7b52024-11-29T16:29:16ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102024-11-0129410.3846/mma.2024.21033Mirroring and nonlinear perturbation of a circuit's system with multiple attractorsEmile Franc Doungmo Goufo0Department of Mathematical Sciences, University of South Africa, 0003 Florida, South Africa We infix the duality-symmetric and the mirror symmetry conversion processes into a dynamical system representing an electric circuit diagram with three input (or output) as shown in Figure 2. Hence, a new non-linear variable order initial value problem is obtained and solved using the Haar wavelet numerical method (HWNM). Error, stability and entropy analyzes show the reliability of the method. Numerical simulations are then implemented and show for the new system, existence of various attractors’ types (point attractors (PAs), limit cycles, strange attractors (SAs), double attractor (DA), coexisting attractors (CoAs)) with their mirror reflections. Both are in a symmetrical structure in which they face each other, separated by a changing symmetry line and exhibiting similar properties. The circuit implementation using a Field Programmable Gate Array (FPGA) is performed and concur with the expected results. https://transport.vgtu.lt/index.php/MMA/article/view/21033electric circuit diagramlimit cyclesmirror symmetry conversion processperturbationcircuit implementation |
| spellingShingle | Emile Franc Doungmo Goufo Mirroring and nonlinear perturbation of a circuit's system with multiple attractors Mathematical Modelling and Analysis electric circuit diagram limit cycles mirror symmetry conversion process perturbation circuit implementation |
| title | Mirroring and nonlinear perturbation of a circuit's system with multiple attractors |
| title_full | Mirroring and nonlinear perturbation of a circuit's system with multiple attractors |
| title_fullStr | Mirroring and nonlinear perturbation of a circuit's system with multiple attractors |
| title_full_unstemmed | Mirroring and nonlinear perturbation of a circuit's system with multiple attractors |
| title_short | Mirroring and nonlinear perturbation of a circuit's system with multiple attractors |
| title_sort | mirroring and nonlinear perturbation of a circuit s system with multiple attractors |
| topic | electric circuit diagram limit cycles mirror symmetry conversion process perturbation circuit implementation |
| url | https://transport.vgtu.lt/index.php/MMA/article/view/21033 |
| work_keys_str_mv | AT emilefrancdoungmogoufo mirroringandnonlinearperturbationofacircuitssystemwithmultipleattractors |