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The Strathprints institutional repository is a digital archive of University of Strathclyde research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including those from the School of Psychological Sciences & Health - but also papers by researchers based within the Faculties of Science, Engineering, Humanities & Social Sciences, and from the Strathclyde Business School.

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Noise suppresses or expresses exponential growth

Deng, F. and Luo, Q. and Mao, X. and Pang, S. and , EPSRC (Funder) and , National Natural Science Foundation of China (Funder) and , Key Programs of Science and Technology of Guangzhou (Funder) and , Jinan Universit of China (Funder) (2008) Noise suppresses or expresses exponential growth. Systems and Control Letters, 57 (3). pp. 262-270. ISSN 0167-6911

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Abstract

In this paper we will show that noise can make a given system whose solutions grow exponentially become a new system whose solutions will grow at most polynomially. On the other hand, we will also show that noise can make a given system whose solutions are bounded become a new system whose solutions will grow exponentially. In other words, we reveal that the noise can suppress or expresses exponential growth.