... that compare excellently with the numerically computed ones. 31 08 2009 20 08 2010 16 09 2010 08 11 2010 08 11 2010 nonlinear dynamical systems oscillators Duffing–van der Pol equation homotopy analysis method limit cycle computational cost Nonlinear phenomena...

...H. T. Zhu; G. K. Er; V. P. Iu; K. P. Kou The stationary probability density function (PDF) solution of the stochastic responses is derived for nonlinear oscillators subjected to both additive and multiplicative Poisson white noises. The PDF solution is governed by the generalized Fokker–Planck...

...S. Adhikari The characteristics of the frequency response function of a nonviscously damped linear oscillator are considered in this paper. It is assumed that the nonviscous damping force depends on the past history of velocity via a convolution integral over an exponentially decaying kernel...

.... Computer simulation has confirmed the analytical predictions which had been obtained. Experimental verification of the analytical prediction is considered for a particular type of sink. 07 09 2005 02 08 2006 nonlinear dynamical systems damping oscillators inhomogeneous media...

... oscillators 27 12 2002 08 04 2005 The extensive parametrical investigation has been performed by varying the main parameters quoted in Fig. 1 . These parameters affect the behavior of the system, as summarized in the following: By varying the depth of a crack localized at one-half...

... , where t ∓ are the time prior and after the instant t * of impact, which is determined by the condition q t * = ± Δ ∕ 2 . There are several different models for an impact oscillator, but the simplest is the coefficient of restitution rule, q ̇ t → − r...

... oscillators, i.e., of one-way (irreversible) “channeling” of externally imparted energy from the linear to the nonlinear part of the system, provided that the energy is above a critical level. Clearly, no such phenomenon is possible in the linear system. To obtain a better understanding of the energy pumping...

..., and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS . 29 Sept 1999 02 May 2000 nonlinear dynamical systems oscillations oscillators transient response resonance classical mechanics damping perturbation theory...