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Global existence of small amplitude solution to nonlinear system of wave and Klein-Gordon equations in four space-time dimensions
Global existence nonlinear system wave and Klein-Gordon equations four space-time dimensions
2011/9/14
Abstract: In this article one will develop a so-called hyperboloidal foliation method, which is an energy method based on a foliation of space-time into hyperboloidal hypersurfaces. This method permit...
Solving a nonlinear system of second order two-point boundary value problem
Nonlinear second-order differential system Reproducing kernel space Two-point boundary problem
2010/9/13
In this paper, we give a new method to solve a nonlinear system of second order two-point boundary value problem. Its exact solutions are represented in the form of series in the reproducing kernel sp...
On a nonlinear system.
Bifurcation and Chaos in a Weakly Nonlinear System Subjected to Combined Parametric and External Excitation
bifurcation chaos transversal homoclinic orbit
2007/12/11
In this paper the dynamics of a weakly nonlinear system subjected to combined parametric and external excitation are discussed. The existence of transversal homoclinic orbits resulting in chaotic dyna...