Titlebook: Nonlinear Dynamics of Discrete and Continuous Systems; Andrei K. Abramian,Igor V. Andrianov,Valery A. Gai Book 2021 Springer Nature Switze

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,Galerkin’s Method was not Developed by Ritz, Contrary to the Timoshenko’s Statement,o-author a paper on the priority associated with the Galerkin method, claiming that it belongs solely to I. G. Bubnov (1872–1919). Although a joint paper by Timoshenko and Grigolyuk was never written, Timoshenko expressed an interest in such an endeavor. These correspondents, namely, B. G. Galerkin,

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The Dynamic Interactions and Control of Long Slender Continua and Discrete Inertial Components in Veneral approach to model the dynamic behaviour of a typical vertical transportation system is demonstrated. Subsequently, a mathematical model is developed which is solved numerically to predict the non-stationary/nonlinear dynamic responses. An active control strategy is then proposed to minimize t

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Harmonic Balance Method for the Stationary Response of Finite and Semi-infinite Nonlinear Dissipatiresponse amplitudes for certain excitation frequencies; the unique frequency-amplitude relationship of system (c) is due to the strong damping (i.e., radiation damping and internal dissipation). Furthermore, although system (b) essentially does not resonate, the third-harmonic component exhibits a m

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us and it provides detailed knowledge of the state-of-the-art of its treatment.Because of its organization and its extensive subject index, Textbook of Tinnitus can also serve as a reference for clinicians who do not treat tinnitus patients routinely.978-1-4939-3981-7978-1-60761-145-5

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Expanding the Applicability of the Competitive Modes Conjecture, the mathematical background needed to rigorously apply the Competitive Modes Conjecture to a certain set of non-multipolynomial systems. Afterwards, we provide an example of this new theory in the non-multipolynomial Wimol-Banlue Attractor, something that up to this point has not been possible as far as the authors know.

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Chaotic Dynamic of a Symmetric Tree-Shaped Wave Network,. We show that when the parameters satisfy certain conditions, the snapback repeller is existence and the system is chaotic. Finally, we give some numerical simulations to illustrate the theoretical outcomes.