Dynamics, chaos and synchronization of self-sustained electromechanical systems with clamped-free flexible arm
TL;DR: In this article, an electromechanical system with flexible arm is considered and the synchronization of regular and chaotic states of two such devices is discussed and the stability boundaries for the synchronization process are derived using the Floquet theory.
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Abstract: An electromechanical system with flexible arm is considered. The mechanical part is a linear flexible beam and the electrical part is a nonlinear self-sustained oscillator. Oscillatory solutions are obtained using an averaging method. Chaotic behavior is studied via the Lyapunov exponent. The synchronization of regular and chaotic states of two such devices is discussed and the stability boundaries for the synchronization process are derived using the Floquet theory. We compare the results obtained from a finite difference simulation to those from the classical modal approach.
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Citations
Recurrence analysis and synchronization of oscillators with coexisting attractors
TL;DR: In this paper, the authors provide substantial information about the mathematical and numerical analysis and synchronization of a multi-limit cycle oscillator from the RQA perspective, and the results of the method of RPs are compared to those of phase diagrams and the problem of synchronization of limit cycle and chaotic response is discussed by the mean of cross recurrence.
Nonlinear analysis of energy harvesting systems with fractional order physical properties
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Adaptive control of a chaotic permanent magnet synchronous motor
TL;DR: In this paper, a simple adaptive controller design method for a chaotic permanent magnet synchronous motor (PMSM) based on the sliding mode control theory has been proposed, which has given an effective means to design robust controllers for nonlinear systems with bounded uncertainties.
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TL;DR: This paper revisits the Thau observer design and concerns its application to the synchronization problem of two Lorenz name related systems in the master–slave formalism and presents one assertion related to one spectral inequality arisen in the process of assigning stable spectrum to the observer matrix.
Projective synchronization of a class of chaotic systems by dynamic feedback control method
TL;DR: In this paper, a necessary and sufficient condition for the existence of the projective synchronization problem is presented, and this condition is equivalent to check whether a group of algebraic equations about $$\alpha $$ have solutions or not.
References
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TL;DR: In this paper, the authors present an extension of Hooke's Law for determining the stability under stress of thin shells of isotropic elastic material, which they use to determine the equilibrium of an elementary volume of the substance by considering the forces acting upon it.
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Nonlinear oscillations in physical systems
千博 林
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TL;DR: The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions as mentioned in this paper.
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Dynamics and synchronization of coupled self-sustained electromechanical devices
R. Yamapi,Paul Woafo +1 more
TL;DR: In this article, the stability and duration of the synchronization process between two coupled self-sustained electrical oscillators described by the Rayleigh-Duffing oscillator are first analyzed.
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