1. Sinusoidal disturbance induced topology identification of Hindmarsh-Rose neural networks
- Author
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Junchan Zhao, Nathalie Corson, Cyrille Bertelle, M. A. Aziz-Alaoui, The School of Mathematics and Statistics, Hunan University of Commerce, Laboratoire de Mathématiques Appliquées du Havre (LMAH), Université Le Havre Normandie (ULH), Normandie Université (NU)-Normandie Université (NU), Equipe Réseaux d'interactions et Intelligence Collective (RI2C - LITIS), Laboratoire d'Informatique, de Traitement de l'Information et des Systèmes (LITIS), Institut national des sciences appliquées Rouen Normandie (INSA Rouen Normandie), Institut National des Sciences Appliquées (INSA)-Normandie Université (NU)-Institut National des Sciences Appliquées (INSA)-Normandie Université (NU)-Université de Rouen Normandie (UNIROUEN), Normandie Université (NU)-Université Le Havre Normandie (ULH), Normandie Université (NU)-Institut national des sciences appliquées Rouen Normandie (INSA Rouen Normandie), and Normandie Université (NU)
- Subjects
[INFO.INFO-CC]Computer Science [cs]/Computational Complexity [cs.CC] ,Disturbance (geology) ,Topology identification ,General Computer Science ,Artificial neural network ,Computer science ,[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] ,Topology (electrical circuits) ,Complex network ,Network topology ,[INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation ,01 natural sciences ,010305 fluids & plasmas ,Identification (information) ,Sinusoidal disturbance ,Persistently exciting condition ,Hindmarsh-Rose system ,Control theory ,[NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD] ,0103 physical sciences ,Synchronization (computer science) ,Induced topology ,010306 general physics - Abstract
International audience; Topology identification of complex networks is an important problem. Existing research shows that the synchronization of network nodes is an obstacle in the identification of network topology. Identification of the structure of the network presents an interesting challenge during the synchronization of complex networks. We developed a new method using the sinusoidal disturbance to identify the topology when the complex network achieves synchronization. Compared with the disturbance of all the nodes, the disturbance of the key nodes alone can achieve a very good effect. Finally, numerical simulation data are provided to validate our hypothesis.
- Published
- 2016