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Noise suppresses or expresses exponential growth

Deng, Feiqi and Luo, Qi and Mao, Xuerong and Pang, Sulin, EPSRC (Funder), National Natural Science Foundation of China (Funder), Key Programs of Science and Technology of Guangzhou (Funder), 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.