Stochastically Perturbed Bifurcations

  • N. Sri Namachchivaya
  • Harry H. Hilton
Conference paper
Part of the IUTAM Symposium book series (IUTAM)


The methods of normal form and stochastic averaging are used appropriately to study nonlinear stochastic dynamical systems. General results obtained by those procedures are applied to study the effect of stochastic excitations on nonlinear systems which exhibit co-dimension one bifurcations. As an application the stochastic version of the Lorenz model is considered.


Normal Form Rayleigh Number Hopf Bifurcation Bifurcation Point Center Manifold 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • N. Sri Namachchivaya
    • 1
  • Harry H. Hilton
    • 1
  1. 1.Department of Aeronautical and Astronautical EngineeringUniversity of Illinois at Urbana-ChampaignUrbanaUSA

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