Abstract:The presented research deals with methods for the study of complex interactions between noise and nonlinearities in dynamical systems. Practical applications of this research are beginning to appear across the spectrum of mechanics; for example vibration absorbers, ship dynamics, energy harvesting, and variable speed machining processes. In the presented approach perturbed Hamiltonian systems are considered, which are damped and excited by an absolutely regular non-white Gaussian process. Analytical and semi-a… Show more
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