Nonlinear damping
Blow Up and Global Existence for a Nonlinear Viscoelastic Wave Equation with Strong Damping and Nonlinear Damping and Source terms
... linear damping ( m = 2 ) and nonlinear source has been first considered by Levine [7] ...the nonlinear damping ( m > 2 ) and the source terms was stu- died by Georgiev and Todorova [9], for ...
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Signature of nonlinear damping in geometric structure of a nonequilibrium process
... how nonlinear interaction affects the time- scale of information change and geometric structure of an attractor by using information ...of nonlinear interaction, we consider stochastic driven-dissipative ...
31
Stochastic quasilinear viscoelastic wave equation with nonlinear damping and source terms
... System (1.1) without the stochastic term is a model for quasilinear viscoelastic wave equation with nonlinear damping and source terms. Various forms of the deterministic system (1.1) have been considered ...
15
Interval Oscillation Criteria for a Class of Nonlinear Fractional Differential Equations with Nonlinear Damping Term
... We have established some new interval oscillation criteria for a class of nonlinear fractional differential equations with nonlinear damping term. As one can see, the variable transformation used in ...
6
Nonlinear damping based semi-active building isolation system
... of nonlinear damping is proposed in this ...that nonlinear damping can achieve desired performance over both low and high frequency regions and the optimal nonlinear damping ...
17
Analysis of A 2DOF Nonlinear Damping System for Effectively Suppressing Vibrations Using Linear Vibration Absorber
... with nonlinear damper with the function of frequency as shown in Figure ...absorber damping as well as nonlinear damping leads to reduction of peak amplitude at resonant ...a nonlinear ...
9
Standing waves and global existence for nonlinear wave equations with potential, strong, and nonlinear damping terms
... This paper is concerned with the Cauchy problem of nonlinear wave equations with potential, strong, and nonlinear damping terms. Firstly, by using variational calculus and compactness lemma, the ...
14
Global existence and asymptotic behavior of solutions for the double dispersive-dissipative wave equation with nonlinear damping and source terms
... In this paper, we consider the initial boundary value problem of the double dispersive-dissipative wave equation with nonlinear damping and source terms. By the combination of the Galerkin method and the ...
15
Signature of nonlinear damping in geometric structure of a nonequilibrium process
... that nonlinear interaction promotes power-law scalings of statistical measures E (τ ) with respect to ...process, nonlinear interaction in the cubic process results in E which varies much less ...
12
Suppressing resonant vibrations using nonlinear springs and dampers
... a nonlinear spring element or a nonlinear damping ...designed nonlinear damping element produces low levels of energy at the higher order harmonics and no bifurcations in the system ...
14
A Decrement Method for Quantifying Nonlinear and Linear Damping in Multidegree of Freedom Systems
... and nonlinear damping parameters in a lightly damped multidegree of freedom system which allows the system to be decomposed into a set of single degree of freedom nonlinear ...the damping ...
7
Global nonexistence of solutions for a quasilinear wave equation with acoustic boundary conditions
... a nonlinear wave equation with porous acoustic boundary ...with nonlinear damping and source terms was proved by Messaoudi and Said-Houari [–] (see [–] for more ...with nonlinear ...
10
Rogue waves and downshifting in the presence of damping
... order nonlinear Schr¨odinger (HONLS) equation which is Hamiltonian (Gramstad and Trulsen, ...additonal nonlinear damping term and a uniform linear damping term to this new HONLS ...the ...
17
Chaotic Dynamics of High Speed Rotating Shaft Supported by Ball Bearings Due to Distributed Defects
... the nonlinear dynamic behavior of a high speed rotor- bearing system due to varying the number of rolling ...as nonlinear springs and also used nonlinear damping, which is developed by ...
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General decay and blow-up of solutions for a nonlinear viscoelastic wave equation with strong damping
... where p > 2, ω, μ > 0. The authors established the global existence theorem and proved that the global solution is uniformly bounded. They also constructed the finite time blow- up of solutions for low initial ...
22
A Voltage Controlled DG Unit Based Active Harmonic Damping for Grid Connected and Islanding Micro grids
... of nonlinear loads can led to significant harmonic pollution in a power distribution ...resonances, damping resistors or passive filters can be placed in the distribution ...
5
Forced Oscillation of Nonlinear Fractional Delay Differential Equations with Damping Term
... [15] Y. Bolat, On the oscillation of fractional-order delay differential equations with constant coefficients, Communication in Nonlinear Science and Numerical Simulation 19 (2014) 3988–3993. [16] D. Chen, ...
9
An estimate on the thickness of boundary layer for nonlinear evolution equations with damping and diffusion
... The system (.) was originally proposed by Hsieh in [] to observe the nonlinear in- teraction between ellipticity and dissipation. In [], Hsieh et al. established a link between this interaction and chaos. We ...
7
Some oscillation results for nonlinear second order differential equations with damping
... In particular, Sun [] used a class of functions Y defined in the sequel to establish sev- eral Kamenev-type (see []) oscillation criteria for (.). Grace [], Grace and Lalli [], Kirane and Rogovchenko [], ...
14
Oscillation Theorems for a Class of Nonlinear Second Order Differential Equations with Damping
... [13] Y. V. Rogovchenko, “Oscillation Criteria for Second Order Nonlinear Perturbed Differential Equations,” Jour- nal of Mathematical Analysis and Applications, Vol. 215, No. 2, 1997, pp. 334-357. ...
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