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Many methods exist to detect stable equilibrium points x∗ of nonlinear dynamical systems ẋ=f(x). Most of them also prove the existence of a neighborhood N of x∗ such that all trajectories initialized in N converge to x∗. This paper provides a numerical method combining Lyapunov theory with interval analysis which makes to find a set N which is included in the attraction domain of x∗.
The Computerized Archaeological Laboratory, at the Hebrew University of Jerusalem started to operate on January 1st 2010. Its purpose is to harness mathematical and computational methods to support archaeological research, documentation and visualization. The laboratory is equipped with modern, high precision scanners which provide digital three dimensional models of archaeological finds. We concentrated...
Congestion has become a serious problem in the context of urban transport around the world. As more and more vehicles are being introduced into the urban streets every year, the mode share of the public transportation sector is declining at an alarming rate. Particularly in developing countries, more people have moved to personalized mode since it is becoming easily affordable and the quality of service...
Particle Swarm Optimization (PSO) with highly adaptive parameters and Chaotic Local Search (CLS) has been developed to obtain superior and robust convergence pattern. Depending on the objective function values of the current and best solutions in the present iteration, unique and innovative formulae are designed for two sets of PSO parameters, inertia weight & learning factors, to make them adaptive...
We present a fast algorithm to compute the pre-equalized waveform for simultaneous compensation of the self-phase modulation and chromatic-dispersion experienced by a 10-Gb/s optical signal, and show its robustness against inaccurate knowledge on transmission link details
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