Open AccessGeneralized synchronization of two non-identical systems
Author(s) -
Li Fang,
Aihua Hu,
Zhi-Hong Xu
Publication year - 2006
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.55.590
Subject(s) - lipschitz continuity , invariant manifold , smoothness , manifold (fluid mechanics) , attractor , synchronization (alternating current) , class (philosophy) , property (philosophy) , fixed point , dynamical systems theory , exponential function , mathematics , computer science , pure mathematics , mathematical analysis , topology (electrical circuits) , physics , quantum mechanics , mechanical engineering , combinatorics , artificial intelligence , engineering , philosophy , epistemology
Generalized synchronization of two non-identical systems is studied based on Temam's inertia manifold theory of infinite dimensional dynamical systems. On the assumption that both systems have absorbing sets and attractors, the generalized synchronization manifold, which has the property of Lipschitz smoothness, invariance and exponential absorption, can be attained by defining a fixed point in a class of functions. Simulation results validate the theory.