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New theorems for moments of the first passage time of one dimensional nonlinear stochastic processes with an entrance boundary xe are formulated. This important class of one dimensional stochastic processes results among others from approximations of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::49221f3ae37a8c3c2207644c588df8df
http://arxiv.org/abs/1906.00900
http://arxiv.org/abs/1906.00900
Autor:
Navaratnam Sri Namachchivaya
Publikováno v:
Meccanica. 51:2975-2995
Nonlinearity and noise play a significant role in an enormous range of subjects across the entire spectrum of science and engineering. This paper considers several research topics that encompass the area of random dynamical systems (RDS). A general o
Publikováno v:
Meccanica. 51:2665-2688
The present study considers the application of stochastic dimensional reduction (low-dimensional approximation of stochastic dynamical systems) to a 11-dimensional nonlinear aeroelastic problem exhibiting a Hopf bifurcation, with one critical mode an
Publikováno v:
Procedia IUTAM. 6:132-140
Multi-degree-of-freedom ship motion and ship stability in random seas are of major interest for the development of new advanced intact stability criteria. The purpose of this research is to improve the safety of new ship designs, but the results are
Publikováno v:
MultiTemp
This paper develops multi-scale data assimilation/filtering algorithms that are driven by the data, that take advantage of scale interaction to appropriately reduce the dimension of the problem. We incorporate an optimal particle filtering algorithm
Autor:
Navaratnam Sri Namachchivaya
Publikováno v:
Scopus-Elsevier
Some results pertaining to co-dimension two stochastic bifurcations are presented. The normal form associated with non-semi-simple double-zero eigenvalues is considered. The method of stochastic averaging applicable for singularly perturbed stochasti
Autor:
Navaratnam Sri Namachchivaya
Publikováno v:
Applied Mathematics and Computation. 39:37s-95s
This investigation is concerned with the dynamic response, stability, and bifurcation behavior of nonlinear dynamical systems under stochastic excitation. The excitation may be either multiplicative or additive or a combination of both. The effect of
Publikováno v:
PAMM. 12:607-608
Stability analysis of the upright position of a ship in random head or following seas is presented. Such seas lead to parametric excitation of roll motion due to periodic variations of the righting lever. The development of simple criteria for the oc
Publikováno v:
Scopus-Elsevier
In this paper, we shall re-examine the stochastic version of the Duffing-van der Pol equation. As in [2], [9], [19], [22], we shall introduce a multiplicative and an additive stochastic excitation in our case, i.e.x¨=(α+σ1ξ1)x+βx˙+ax3+bx2x˙+σ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aafce2267a9711856211c9ebf5c581f2
http://www.scopus.com/inward/record.url?eid=2-s2.0-0031347953&partnerID=MN8TOARS
http://www.scopus.com/inward/record.url?eid=2-s2.0-0031347953&partnerID=MN8TOARS
Publikováno v:
Scopus-Elsevier
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3fc2715ee198c2899f0bededcd91e335
http://www.scopus.com/inward/record.url?eid=2-s2.0-0031223415&partnerID=MN8TOARS
http://www.scopus.com/inward/record.url?eid=2-s2.0-0031223415&partnerID=MN8TOARS