In essence, the dynamics of real world systems (i.e. engineered systems, natural systems, social systesms, etc.) is nonlinear. The analysis of this nonlinear character is generally performed through both observational and modeling processes aiming at deriving appropriate models (mathematical, logical, graphical, etc.) to simulate or mimic the spatiotemporal dynamics of the given systems. The complex intrinsic nature of these systems (i.e. nonlinearity and spatiotemporal dynamics) can lead to striking dynamical behaviors such as regular or irregular, stable or unstable, periodicity or multi-periodicity, torus or chaotic dynamics. The various potential applications of the knowledge about such dynamics in technical sciences (engineering) are being intensively demonstrated by diverse ongoing research activities worldwide. However, both the modeling and the control of the nonlinear dynamics in a range of systems is still not yet well-understood (e.g. system models with time varying coefficients, immune systems, swarm intelligent systems, chaotic and fractal systems, stochastic systems, self-organized systems, etc.). This is due amongst others to the challenging task of establishing a precise and systematic fundamental or theoretical framework (e.g. methods and tools) to analyze, understand, explain and predict the nonlinear dynamical behavior of these systems, in some cases even in real-time. The full insight in systems’ nonlinear dynamic behavior is generally achieved through approaches involving analytical, numerical and/or experimental methods.
Editors and Affiliations
Institute for Smart-Systems Technologies, Alpen-Adria Universität Klagenfurt , Klagenfurt, Austria
Kyandoghere Kyamakya,
Jean Chamberlain Chedjou
Lehrgebiet Informationstechnik, FernUniversität in Hagen , Hagen, Germany
Wolfgang A. Halang,
Zhong Li
Lehrgebiet Kommunikationsnetze, FernUniversität in Hagen , Hagen, Germany
Herwig Unger
Institute for Nonlinear Science, University of California, San Diego , La Jolla, USA
Nikolai F. Rulkov
Bibliographic Information
Book Title: Recent Advances in Nonlinear Dynamics and Synchronization
Book Subtitle: Theory and Applications
Editors: Kyandoghere Kyamakya, Wolfgang A. Halang, Herwig Unger, Jean Chamberlain Chedjou, Nikolai F. Rulkov, Zhong Li
