Introductory Chapter: Nonlinear System Analysis – An Overview of Historical and Recent Advances

Abstract

However, for computational economics, the Lanczos-Chebyshev collocation method [10,11] is superior because ordinary power series is used. It is worthwhile to note that over the last 50 years, many papers and conference proceedings have been published on all those numerical methods. Concluding remarksIt is obvious that past advances in nonlinear system analysis have widened the practical applications of linear system analysis and provided added means to develop new materials, new designs, and new control mechanisms. It is important that researchers and analysts follow the traditional scientific methods and validate their models so that those advances would not be misused.