Resmi, V and Ambika, G and Amritkar, RE and Rangarajan, G (2012) Amplitude death in complex networks induced by environment. In: Physical Review E, 85 (4, Par).
PhysRevE.85.046211.pdf - Published Version
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We present a mechanism for amplitude death in coupled nonlinear dynamical systems on a complex network having interactions with a common environment like external system. We develop a general stability analysis that is valid for any network topology and obtain the threshold values of coupling constants for the onset of amplitude death. An important outcome of our study is a universal relation between the critical coupling strength and the largest nonzero eigenvalue of the coupling matrix. Our results are fully supported by the detailed numerical analysis for different network topologies.
|Item Type:||Journal Article|
|Additional Information:||Copyright of this article is belongs to The American Physical Society.|
|Department/Centre:||Division of Physical & Mathematical Sciences > Mathematics|
|Date Deposited:||22 Aug 2012 04:58|
|Last Modified:||22 Aug 2012 04:58|
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