This festschrift features 12 expositions of virtually all currently active aspects of nonlinear science. It addresses researched areas of nonlinear science and chaos, including nonlinear dynamics, mathematics, numerics and technology. Each chapter includes a tutorial and background information, as well as a survey of each area's main results and state-of-the-art. It identifies future trends and challenging yet tractable problems that are likely to be solved before the end of the 21st century.