Nonlinear dynamics of complex processes is an active research field with large numbers of publications in basic research, and broad applications from diverse fields of science. Nonlinear dynamics as manifested by deterministic and stochastic evolution models of complex behavior has entered statistical physics, physical chemistry, biophysics, geophysics, astrophysics, theoretical ecology, semiconductor physics and -optics, etc. This field of research has induced a new terminology in science connected with new questions, problems, solutions and methods. New scenarios have emerged for spatio-temporal structures in dynamical systems far from equilibrium. Their analysis and possible control are intriguing and challenging aspects of the current research.
The duality of fundamental and applied research is a focal point of its main attractivity and fascination. Basic topics and foundations are always linked to concrete and precise examples. Models and measurements of complex nonlinear processes evoke and provoke new fundamental questions that diversify and broaden the mathematical concepts and tools. In return, new mathematical approaches to modeling and analysis enlarge the scope and efficiency of applied research.
Sample Chapter(s)
Chapter 1: Noise-induced effects in excitable systems with local and global coupling (5,995 KB)
Contents:
- Noise-Induced Effects in Excitable Systems with Local and Global Coupling (X R Sailer et al.)
- Spiral Wave Dynamics: Reaction and Diffusion versus Kinematics (B Fiedler et al.)
- Pattern Formation in Semiconductors Under the Influence of Time-Delayed Feedback Control and Noise (E Schöll et al.)
- Trapping of Phase Fronts and Twisted Spirals in Periodically Forced Oscillatory Media (O Rudzick & A S Mikhailov)
- Unified Approach to Feedback-Mediated Control of Spiral Waves in Excitable Media (V S Zykov & H Engel)
- Building Oscillations Bottom Up: Elemental Time Scales of intracellular Calcium Dynamics (R Thul & M Falcke)
- Synchronization of Complex Systems: Analysis and Control (M Rosenblum & A Pikovsky)
- Predator-Prey Oscillations, Synchronization and Pattern Formation in Ecological Systems (B Blasius & R Tönjes)
- and other papers
Readership: Graduate students of physics, chemistry, biology and applied mathematics; researchers in complex systems, nonlinear and stochastic processes.
