Essence of direct-interaction approximation application to a quadratic nonlinear dynamical system

Kida, Shigeo; Goto, Susumu
February 2000
AIP Conference Proceedings;2000, Vol. 502 Issue 1, p381
Academic Journal
Despite of its success in prediction of the second-order moments of quadratic nonlinear dynamical systems the formulation of the direct-interaction approximation (DIA), which was originally invented by Kraichnan (1959), has been unclear and sometimes misunderstood. A new convincing formulation of DIA is presented here that is based on sparseness of nonlinear couplings and on largeness of the system size. © 2000 American Institute of Physics.


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