In this paper, we discuss a class of piecewise linear hyperbolic maps on the 2-torus. These maps arise in the second-order digital filter with two’s complement arithmetic. By introducing codings underlying the map operations, we give some admissibility conditions for symbolic sequences and find some periodic properties of these symbolic sequences. Then we use these conditions to check the admissibility of periodic symbol sequences.
这份报纸学习与自我组织、驾驶的行为组织的一些特殊网络在簇共存，而且，簇有主导的 intra 簇和内部簇的 couplings。它这里被称为混合系统(MS ) 。为这研究，线性稳定性分析被使用，并且为同步状态的稳定性条件是坚定的。为联合函数 g (x) ，网络的稳定性状态在二个不同盒子中被讨论：有 g (x)= x 的线性盒子和有 g (x)= f (x) 的非线性的盒子。而且，为在网络的混乱的出现的条件被给。
In this paper, the coupling function of the complex dynamical networks was generalized, and the conditions for the stability of synchronization were given. We illustrate the impact of coupling function on the synchronization of complex dynamical networks, that is, the coupling strength can not assure the stability of synchronization when the coupling function is linear. However we can modulate coupling function to achieve stability of synchronization without changing coupling strength.
