March  2008, 7(2): 249-265. doi: 10.3934/cpaa.2008.7.249

Dynamical behaviour of a large complex system

1. 

Department of Computer Science and Mathematics, Warwick University, Coventry CV4 7AL, United Kingdom

2. 

Institute for Low Temperature Physics, Lenin ave 47, 61103, Ukraine

3. 

Department of Physics, Rome Univ. "La Sapienza", P. Aldo Moro 5, 00185 Roma, Italy

Received  January 2007 Revised  June 2007 Published  December 2007

Limit theorems for a linear dynamical system with random interactions are established. The theorems enable us to characterize the dynamics of a large complex system in details and assess whether a large complex system is weakly stable or unstable (see Definition 1 below).
Citation: Jianfeng Feng, Mariya Shcherbina, Brunello Tirozzi. Dynamical behaviour of a large complex system. Communications on Pure & Applied Analysis, 2008, 7 (2) : 249-265. doi: 10.3934/cpaa.2008.7.249
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