Abstract: 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 ...

Abstract: In this paper the effect of small parametric and external stochastic perturbations on a two-dimensional system exhibiting Hopf bifurcation is discussed in detail. It is shown that even small ...

Abstract: This paper investigates the effects of nonlinearities on the dynamics of flat panels in supersonic flow and presents new bifurcation results for a fairly general nonlinear aeroelastic system. The method of normal forms, ...

Abstract: The present study investigates the global bifurcations present in the motion of the shallow arch structure subjected to a spatially and temporally varying load under the conditions of principal subharmonic resonance and ...

Abstract: The global dynamics of a shallow arch structure subjected to a spatially and temporally varying force is investigated under the conditions of principal subharmonic resonance and one-to-two internal resonance near single ...

Abstract: In a recent paper an asymptotic approximation for the moment Lyapunov exponent, g(p), of two coupled oscillators driven by a small intensity real noise was obtained. The utility of that result ...

Abstract: The purpose of this work is to develop an averaging approach to study the dynamics of a vibro-impact system excited by random perturbations. As a prototype, we consider a noisy single-degree ...

Abstract: A perturbation approach is used to obtain an approximation for the moment Lyapunov exponent of two coupled oscillators with commensurable frequencies driven by a small intensity real noise with ...

Abstract: An analytic explanation is given for the experimental results reported by and (2001, “Influence of Stochastic Effects on Flow Induced Vibrations in Tube Bundles,” IUTAM Symposium on Nonlinearity ...

Abstract: The effect of external random excitation on nonlinear continuous time systems is examined using the concept of the Lyapunov exponent. The Lyapunov exponent may be regarded as the nonlinear/stochastic ...