Complex Nonlinearity

• Basics of Nonlinear and Chaotic Dynamics.- Phase Transitions and Synergetics.- Geometry and Topology Change in Complex Systems.- Nonlinear Dynamics of Path Integrals.- Complex Nonlinearity: Combining It All Together.

From the reviews:"Intended as a graduate-level monographic textbook this volume is devoted to a topological-differential geometric approach to the four notions added in title: chaos, phase transitions, topology change, path integrals. … This … can be useful for a beginner. The book has a very large list of references on almost 120 pages which is an excellent overview of the developments in these main areas of research and also a detailed and useful index." (Mirea Crâusmareanu, Zentralblatt MATH, Vol. 1152, 2009)“This monograph is intended for researchers and graduate students concerned with prediction and control of general complex nonlinear dynamical systems. The book begins with introductory material on nonlinear and chaotic dynamics and ends with a presentation of the ‘unified form of complex nonlinearity.’” (IEEE Control Systems Magazine, Vol. 29, October, 2009)