Bilal, Shakir ; Ramaswamy, Ramakrishna (2014) Synchronization and amplitude death in hypernetworks Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 89 (6). Article ID 062923. ISSN 1539-3755
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Official URL: http://journals.aps.org/pre/abstract/10.1103/PhysR...
Related URL: http://dx.doi.org/10.1103/PhysRevE.89.062923
Abstract
We study dynamical systems on a hypernetwork, namely by coupling them through several variables. For the case when the coupling(s) are all linear, a comprehensive analysis of the master stability function (MSF) for synchronized dynamics is presented and, through application to a number of paradigmatic examples, the typical forms of the MSF are discussed. The MSF formalism for hypernetworks also provides a framework to study synchronization in systems that are diffusively coupled through dissimilar variables—the so-called conjugate coupling that can lead to amplitude or oscillation death.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Physical Review E. |
| ID Code: | 98798 |
| Deposited On: | 08 May 2015 12:07 |
| Last Modified: | 08 May 2015 12:07 |
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