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Analytical study of the nonlinear behavior of a shape memory oscillator: Part I-primary resonance and free response at low temperatures
(Springer, 2010-03-01)
In this work, the response of a single-degree-of-freedom shape memory oscillator subjected to the excitation harmonic has been investigated. Equation of motion is formulated assuming a polynomial constitutive model to ...
The magnetoinductive dimer
(2013)
In this paper, we examine a nonlinear magnetoinductive dimer and compute its linear and nonlinear symmetric, antisymmetric and asymmetric modes in closed-form, in the rotating-wave approximation. A linear stability analysis ...
Numerical semi-global analysis of a 1:2 resonant Hopf-Hopf bifurcation
(Elsevier Science, 2013-03)
In this paper, a numerical semi-global analysis of the dynamics near a 1:2 resonant Hopf-Hopf bifurcation on a four-dimensional mathematical model of a simple nonlinear oscillator is performed. The 1:2 resonant Hopf-Hopf ...
On Nonlinear Dynamics and Control of A Particular Portal Frame Foundation Model, Excited by a Non-Ideal Motor
(2003-12-08)
The nonlinear dynamic response and a nonlinear control method of a particular portal frame foundation for an unbalanced rotating machine with limited power (non-ideal motor) are examined. Numerical simulations are performed ...
On Nonlinear Dynamics and Control of A Particular Portal Frame Foundation Model, Excited by a Non-Ideal Motor
(2003-12-08)
The nonlinear dynamic response and a nonlinear control method of a particular portal frame foundation for an unbalanced rotating machine with limited power (non-ideal motor) are examined. Numerical simulations are performed ...
Array of Bose-Einstein condensates under time-periodic Feshbach-resonance management
(2003-11-01)
The investigation of the dynamics of a discrete soliton in an array of Bose-Einstein condensates under the action of a periodically time-modulated atomic scattering length [Feshbach-resonance management (FRM)] was discussed. ...
Array of Bose-Einstein condensates under time-periodic Feshbach-resonance management
(2003-11-01)
The investigation of the dynamics of a discrete soliton in an array of Bose-Einstein condensates under the action of a periodically time-modulated atomic scattering length [Feshbach-resonance management (FRM)] was discussed. ...
Two-color discrete localized modes and resonant scattering in arrays of nonlinear quadratic optical waveguides
(2005)
We analyze the properties and stability of two-color discrete localized modes in arrays of channel waveguides where tunable quadratic nonlinearity is introduced as a nonlinear defect by periodic poling of a single waveguide ...
Soliton propagation in a medium with Kerr nonlinearity and resonant impurities: A variational approach
(2003-04-01)
The soliton propagation in a medium with Kerr nonlinearity and resonant impurities was studied by a variational approach. The existence of a solitary wave was shown within the framework of a combined nonintegrable system ...
Frequency stabilization in nonlinear micromechanical oscillators
(Springer, 2012-01)
Mechanical oscillators are present in almost every electronic device. They mainly consist of a resonating element providing an oscillating output with a specific frequency. Their ability to maintain a determined frequency ...