carbon nanotube is investigated based on an elastic multi-layer shell model with van der Waals interaction taken into consideration. The multi-walled carbon nanotube is described as an individual elastic shell and the interlayer friction is negligible between the inner and outer tubes in the proposed model. And the Donnell equations of cylindrical shells are employed to describe the nonlinear b...

For some disturbances and model uncertainties of the multi-tank level system, we develop an adaptive nonlinear control law based on the neural network to achieve high performance control. A nonlinear model including the model uncertainties and disturbances is firstly built through carefully analyzing the multi-tank level system. Based on the model, the level controller is designed, in which the...

Over the past 25 years, fast multi-scale algorithms such as wavelet-type pyramid transforms for hierarchical data representation, multi-grid solvers for the numerical solution of operator equations, and subdivision methods in computer-aided geometric design lead to tremendous successes in data and geometry processing, and in scientific computing in general. While linear multi-scale analysis is ...

We report a 3 dB increase in the nonlinear threshold of a 64× 0.5Gbaud 16-QAM continuousnonlinear-spectrum modulated signal by nonlinear multiplexing with QPSK modulated multi-solitons, showing the first ever fully nonlinear-spectrum modulated system in the highly nonlinear regime.

chaotic systems are nonlinear dynamic systems, the main feature of which is high sensitivity to initial conditions. to initiate a design process in fuzzy model, chaotic systems must first be represented by t-s fuzzy models. in this paper, a new fuzzy modeling method based on sector nonlinearity approach has been recommended for chaotic systems relating to initial condition variations using the ...

In this paper, we investigate multi-symplectic Runge-Kutta-Nyström (RKN) methods for nonlinear Schrödinger equations. Concatenating symplecitc Nyström methods in spatial direction and symplecitc Runge-Kutta methods in temporal direction for nonlinear Schrödinger equations leads to multi-symplecitc integrators, i.e. to numerical methods which preserve the multi-symplectic conservation law (MSCL)...

A new discretization method is proposed for multi-input-driven nonlinear continuous systems with time-delays, based on a combination of the Taylor series expansion and the first-order hold (FOH) assumption. The mathematical structure of the new discretization scheme is explored. On the basis of this structure, the sampled-data representation of the time-delayed multi-input nonlinear system is d...

A stable and self-starting femtosecond breathing-pulse Yb-fiber oscillator is reported, modelocked using the nonlinear polarisation evolution mechanism. A bifurcation between two distinct modes of operation is demonstrated experimentally, producing pulses with a single central wavelength in one state, or following adjustment of the intra-cavity waveplates, the emission of pulses with three dist...

in this paper, a comprehensive model is proposed to design a network for multi-period, multi-echelon, and multi-product inventory controlled the supply chain. various marketing strategies and guerrilla marketing approaches are considered in the design process under the static competition condition. the goal of the proposed model is to efficiently respond to the customers’ demands in the presenc...

in this paper, a novel compensator based on magnetically controlled reactor with fixed capacitor banks (fc-mcr) is introduced and then power system stability in presence of this compensator is studied using an intelligent control method. the problem of robust fc-mcr-based damping controller design is formulated as a multi-objective optimization problem. the multi-objective problem is concocted ...