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On the periodic solutions of a class of duffing differential equations
(2013-01-01)
In this work we study the periodic solutions, their stability and bifurcation for the class of Duffing differential equation mathematical equation represented where C > 0, ε > 0 and Λ are real parameter, A(t), b(t) and ...
On the Chaotic Suppression of Both Ideal and Non-ideal Duffing Based Vibrating Systems, Using a Magnetorheological Damper
(2013-01-10)
In this paper the dynamics of the ideal and non-ideal Duffing oscillator with chaotic behavior is considered. In order to suppress the chaotic behavior and to control the system, a control signal is introduced in the system ...
Multi-core and many-core SPMD parallel algorithms for construction of basins of attraction
(2019-01-01)
Construction of basins of attraction, used for the analysis of nonlinear dynamical systems which present multistability, are computationaly very expensive. Because of the long runtime needed, in many cases, the construction ...
An Optimal Linear Control Design for Nonlinear Systems
(Abcm Brazilian Soc Mechanical Sciences & Engineering, 2008-10-01)
This paper studies the linear feedback control strategies for nonlinear systems. Asymptotic stability of the closed-loop nonlinear system is guaranteed by means of a Lyapunov function, which can clearly be seen to be the ...
Comments on nonlinear dynamics of a non-ideal Duffing-Rayleigh oscillator: Numerical and analytical approaches
(Academic Press Ltd Elsevier B.V. Ltd, 2009-01-23)
An analytical and numerical investigation into the dynamic interaction between a cantilever beam with nonlinear damping and stiffness behavior, modeled by the Duffing-Rayleigh equation, and a non-ideal motor that is connected ...
Force and displacement transmissibility of a nonlinear isolator with high-static-low-dynamic-stiffness
(Pergamon-Elsevier B.V. Ltd, 2012-02-01)
Engineers often face the challenge of reducing the level of vibrations experienced by a given payload or those transmitted to the support structure to which a vibrating source is attached. In order to increase the range ...
Preface
(2011-03-03)
Uniform convergence series to solve nonlinear partial differential equations: Application to beam dynamic
(Springer, 2001-12)
Extended trigonometric series of uniform convergence are proposed as a method to solve the nonlinear dynamic problems governed by partial differential equations. In particular, the method is applied to the solution of a ...
Basins of attraction changes by amplitude constraining of oscillators with limited power supply
(Elsevier B.V., 2005-11-01)
We investigate the dynamics of a Duffing oscillator driven by a limited power supply, such that the source of forcing is considered to be another oscillator, coupled to the first one. The resulting dynamics come from the ...