Publication Type : Conference Paper
Publisher : Elsevier
Source : International Journal of Non-Linear Mechanics
Url : https://linkinghub.elsevier.com/retrieve/pii/S0020746219302902
Campus : Coimbatore
School : Department of Aerospace Engineering, School of Engineering
Department : Aerospace
Year : 2019
Abstract : The phenomenon of multiplicative noise induced intermittency (mNII) observed due to random temporal fluctuations in the system parameters of nonlinear dynamical systems is investigated using maps. Generic conditions for the onset and disappearance of mNII are derived. The role of correlation in the noise is investigated. The phenomenon of mNII is interpreted in terms of stochastic bifurcations as well. The developments are verified through numerical results for a set of simple1-d maps. Further, through a numerical example involving an aeroelastic system, it is shown that the proposed results are applicable for analysis of complicated engineering systems by considering Poincáre maps from the times histories of the response.
Cite this Research Publication : S. Krishna Kumar, Sunetra Sarkar, Sayan Gupta, " Multiplicative noise induced intermittency in maps", International Journal of Non-Linear Mechanics,Volume 117,2019,103251,ISSN 0020-7462, https://doi.org/10.1016/j.ijnonlinmec.2019.103251.