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International Journal of Mathematics and Mathematical Sciences 
Volume 23 (2000), Issue 6, Pages 435-439
doi:10.1155/S016117120000034X

Shift of bifurcation point due to noise induced parameter

Sandip Banerjee, Rakhi Bhattacharya, and C. G. Chakrabarti

Department of Applied Mathematics, University of Calcutta, 92, A.P.C. Road, Calcutta 700009, India

Received 15 June 1998

Abstract

The object of the paper is to see the effect of small stochastic parametric perturbation on a nonlinear interacting system exhibiting Hopf bifurcation. The method is based on the technique of Markov diffusion approximation.