Dynamical System Synchronization [electronic resource] / by Albert C. J. Luo.Material type: TextLanguage: English Series: Nonlinear Systems and Complexity: 3Publisher: New York, NY : Springer New York : Imprint: Springer, 2013Description: VIII, 239 p. 50 illus., 36 illus. in color. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9781461450979Subject(s): Engineering | Differentiable dynamical systems | Physics | Engineering | Complexity | Complex Networks | Dynamical Systems and Ergodic TheoryAdditional physical formats: Printed edition:: No titleDDC classification: 620 LOC classification: QA76.9.M35Online resources: Click here to access online
Introduction -- Discontinuity and Local Singularity -- Single Constraint Synchronization -- Multiple Constraint Synchronization -- Function Synchronization -- Discrete Systems Synchronization.
Dynamical System Synchronization (DSS) meticulously presents for the first time the theory of dynamical systems synchronization based on the local singularity theory of discontinuous dynamical systems. The book details the sufficient and necessary conditions for dynamical systems synchronizations, through extensive mathematical expression. Techniques for engineering implementation of DSS are clearly presented compared with the existing techniques. This book also: Presents novel concepts and methods for dynamical system synchronization Extends beyond the Lyapunov theory for dynamical system synchronization Introduces companion and synchronization of discrete dynamical systems Includes local singularity theory for discontinuous dynamical systems Covers the invariant domains of synchronization Features more than 75 illustrations Dynamical System Synchronization is an ideal book for those interested in better understanding new concepts and methodology for dynamical system synchronization, local singularity theory for discontinuous dynamical systems, distinct dynamical system synchronization, and invariant domains of synchronization.