We study the dynamics of localized pulses in complex cubic–quintic Ginzburg–Landau (GL) equation with strong nonlinearity management. The generalized GL equation, averaged over rapid modulations nonlinearity, is derived. employ variational approach to this derive a dynamical system for dissipative soliton parameters. By using numerical simulations and full GP we show that nonlinearity-managed s...

Alongshore sandbars are often present in the nearshore zones of storm-dominated microto mesotidal coasts. Sandbar migration is the result of a large number of small-scale physical processes that are generated by the incoming waves and the interaction between the wavegenerated processes and the morphology. The presence of nonlinearity in a sandbar system is an important factor determining its pr...

Most functional magnetic resonance imaging studies use linear models to predict the measured response by convolution of an impulse response with the stimulus profile. Using very short visual presentation times (<2 s), deviation from the linear model in the measured BOLD data from the human brain was found for the response integral, amplitude, and width. In this study, high temporal and spatial ...

The nonlinearity index is a measure of the nonlinearity of dynamical systems based on computing the initial-condition sensitivity of the statetransition matrix. The Cayley form is a representation for dynamical systems that relates their motion to N -dimensional rotations. The generalized coordinates of the system are used to define an N -dimensional orientation, and a set of quasi velocities i...

The nonlinearity index is a measure of the nonlinearity of dynamical systems based on computing the initial-condition sensitivity of the state-transition matrix. The Cayley form is a representation for dynamical systems that relates their motion to N-dimensional rotations. The generalized coordinates of the system are used to define an N-dimensional orientation, and a set of quasi velocities is...

Abstract. The dynamics of a membrane is a coupled system of a moving elastic surface and an incompressible membrane fluid. The difficulties in analyzing such a system include the nonlinearity of the curved space (geometric nonlinearity), the nonlinearity of the fluid dynamics (fluid nonlinearity), and the coupling to the surface incompressibility. In the two-dimensional case, the fluid vanishes...

piezoelectric actuators are widely used in micro manipulation applications. however hysteresis nonlinearity limits accuracy of these actuators. this paper presents a novel approach utilizing a piezoelectric nano-stage as slave manipulator of a teleoperation system. the prandtl-ishlinskii (pi) model is used to model actuator hysteresis in feedforward scheme to cancel out this nonlinearity. a pas...

Most functional magnetic resonance imaging studies use linear models to predict the measured response by convolution of an impulse response with the stimulus profile. Using very short visual presentation times ( 2 s), deviation from the linear model in the measured BOLD data from the human brain was found for the response integral, amplitude, and width. In this study, high temporal and spatial ...

One attractive aspect of optical fibers is their enormous bandwidth compared to other media, such as radio waves and twisted-pair wires. Still, an optical fiber is not ideal; it possesses some unwanted properties. Dispersion and nonlinearity are the major limiting factors in lightwave communication. Fiber dispersion causes different spectral components of a signal to travel at different speeds....