Multidimensional spatiotemporal parametric ‘‘simultons’’ ~simultaneous solitary waves! are possible in a nonlinear x (2) medium with a Bragg grating structure, where large effective dispersion occurs near two resonant band gaps for the carrier and second-harmonic field, respectively. The enhanced dispersion allows much reduced interaction lengths, as compared to bulk medium parametric simultons...

Trajectories are usually collected with physical sensors, which prone to errors and cause outliers in the data. We aim identify such via properties of tracked entity, that is, we consider its possibility visit combinations measurements. describe optimal algorithms compute maximum subsequences measurements consistent (simplified) physics models. Our results output-sensitive respect number k a tr...

Electric power systems are physically some of the largest and most complex nonlinear systems in the world. Bifurcations are rather mundane phenomena in power systems. The pioneer work on the local bifurcation analysis of power systems can be dated back to the 1970’s and earlier. Within the last 20 years or so nonlinear dynamical theory has become a subject of great interest to researchers and e...

The Riemann problem is solved for a system arising in chemotaxis. of mixed-type and transitions from hyperbolic to an elliptic region. It genuinely nonlinear the \begin{document}$ u $\end{document} - v plane except on -axis, where it linearly degenerate. We have physically relevant region up boundary hyperbolic-elliptic region, which non-strictly hyperbolic. also degenerate While solving proble...