TY - JOUR AU - Pei, Lijun AU - Li, Yiqun AU - Li, Xiaoge PY - 2018 TI - Generalized synchronization of the coupled heterogeneous chaotic systems by the inertial manifold approach JF - International Journal of Novel Ideas: Mathematics (No more publication since 2019); Vol 2 (2018) KW - N2 - In this paper, the generalized synchronization of the coupled hetero- geneous chaotic systems is considered. The stability of the synchroniza- tion is equivalent to and depends completely on the asymptotic stability or attractivity of the synchronization manifolds. The analytical results of the existence, global but not local asymptotic stability or attractivity of the generalized synchronization are obtained without knowing what's the generalized synchronization manifold by the inertial manifold approach. The numerical simulations show that only the linear coupling can make the slave chaotic systems deform or even simpler, i.e., their one or two state variables become zero. UR - https://sci-en-tech.com/IJNI/index.php/Math/article/view/117