Abstract: A new method is offered here for global analysis of nonlinear dynamical systems. It is based upon the idea of constructing the associated cell-to-cell mappings for dynamical systems governed ...

Abstract: The retrograde (or backward-time evolution) point mapping numerical method introduced by C. S. Hsu is employed in conjunction with the Liapunov type sufficient conditions to determine the boundary ...

Abstract: An index evaluation method is discussed in this paper. It can also serve as the basis of a procedure to locate all the zeros of a vector function. An application of the procedure is made ...

Abstract: In this paper a method for analyzing the global properties of generalized cell mappings involving a very large number of cells is presented. The procedure of the algorithm is devised by taking ...