Influence of Parametric Symmetry on the Dynamics of 3D Sinusoidal Discrete Systems
The discrete system serves an important role in mimicking collective dynamics found in continuous dynamical systems, which are relevant to many realistic natural and artificial systems. To investigate the dynamical transition of a discrete system, we employ three-dimensional sinusoidal discrete maps...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-03-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/15/4/780 |
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| author | Karthikeyan Rajagopal Sathiyadevi Kanagaraj Christos Volos Anitha Karthikeyan |
| author_facet | Karthikeyan Rajagopal Sathiyadevi Kanagaraj Christos Volos Anitha Karthikeyan |
| author_sort | Karthikeyan Rajagopal |
| collection | DOAJ |
| description | The discrete system serves an important role in mimicking collective dynamics found in continuous dynamical systems, which are relevant to many realistic natural and artificial systems. To investigate the dynamical transition of a discrete system, we employ three-dimensional sinusoidal discrete maps with an additional self feedback factor. Specifically, we focus on dynamical transitions with respect to the bifurcation parameter, sine function amplitude, and intensity of self feedback factors. We demonstrate the presence of symmetry in relation to parametric variation using two parameter diagrams. The study is then expanded to the network of sine maps in the presence of self-feedback factor. We discover that negative feedback exhibits the transition from cluster state to synchronization while raising the coupling strength for small-world network interactions. Furthermore, increasing feedback from negative to positive causes the transition from synchronization to desynchronization via chimera state for various complex network connectivities. |
| first_indexed | 2024-03-11T04:28:57Z |
| format | Article |
| id | doaj.art-4ac7a7ecdd5543b8bef9f17d8d001028 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-11T04:28:57Z |
| publishDate | 2023-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-4ac7a7ecdd5543b8bef9f17d8d0010282023-11-17T21:32:37ZengMDPI AGSymmetry2073-89942023-03-0115478010.3390/sym15040780Influence of Parametric Symmetry on the Dynamics of 3D Sinusoidal Discrete SystemsKarthikeyan Rajagopal0Sathiyadevi Kanagaraj1Christos Volos2Anitha Karthikeyan3Centre for Nonlinear Systems, Chennai Institute of Technology, Chennai 600069, IndiaCentre for Nonlinear Systems, Chennai Institute of Technology, Chennai 600069, IndiaLaboratory of Nonlinear Systems, Circuits & Complexity, Physics Department, Aristotle University of Thessaloniki, 54124 Thessaloniki, GreeceDepartment of Electronics and Communication Engineering, Vemu Institute of Technology, Chitoor 517112, IndiaThe discrete system serves an important role in mimicking collective dynamics found in continuous dynamical systems, which are relevant to many realistic natural and artificial systems. To investigate the dynamical transition of a discrete system, we employ three-dimensional sinusoidal discrete maps with an additional self feedback factor. Specifically, we focus on dynamical transitions with respect to the bifurcation parameter, sine function amplitude, and intensity of self feedback factors. We demonstrate the presence of symmetry in relation to parametric variation using two parameter diagrams. The study is then expanded to the network of sine maps in the presence of self-feedback factor. We discover that negative feedback exhibits the transition from cluster state to synchronization while raising the coupling strength for small-world network interactions. Furthermore, increasing feedback from negative to positive causes the transition from synchronization to desynchronization via chimera state for various complex network connectivities.https://www.mdpi.com/2073-8994/15/4/780sine mapsbifurcationchimerasynchronization |
| spellingShingle | Karthikeyan Rajagopal Sathiyadevi Kanagaraj Christos Volos Anitha Karthikeyan Influence of Parametric Symmetry on the Dynamics of 3D Sinusoidal Discrete Systems Symmetry sine maps bifurcation chimera synchronization |
| title | Influence of Parametric Symmetry on the Dynamics of 3D Sinusoidal Discrete Systems |
| title_full | Influence of Parametric Symmetry on the Dynamics of 3D Sinusoidal Discrete Systems |
| title_fullStr | Influence of Parametric Symmetry on the Dynamics of 3D Sinusoidal Discrete Systems |
| title_full_unstemmed | Influence of Parametric Symmetry on the Dynamics of 3D Sinusoidal Discrete Systems |
| title_short | Influence of Parametric Symmetry on the Dynamics of 3D Sinusoidal Discrete Systems |
| title_sort | influence of parametric symmetry on the dynamics of 3d sinusoidal discrete systems |
| topic | sine maps bifurcation chimera synchronization |
| url | https://www.mdpi.com/2073-8994/15/4/780 |
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