Global relative parameter sensitivities of the feed-forward loops in genetic networks

Pinning synchronization for directed networks with node balance via adaptive intermittent control

“…Similar to [35], to study synchronization, a prerequisite requirement is that the manifold S should be invariant through system (3). Hence, in order to ensure the invariance of S, N j=1 a i j = α is required for any i ∈ N , where α is a constant.…”

“…In general, a complex network is a set of coupled nodes interconnected by edges, in which each node is a dynamical system. In fact, many natural and man-made systems, such as social communities, ecosystems, electrical power grids, the World Wide Web, biological C. Hu (B) · H. Jiang College of Mathematics and System Sciences, Xinjiang University, Ürümqi, People's Republic of China e-mail: wacheng2003@163.com; hucheng@xju.edu.cn neural networks, and genetic networks [1][2][3], can be described by complex networks.…”

Evolution and maintenance of cooperation via inheritance of neighborhood relationship

“…The population structure is characterized by a network, where nodes and edges represent individuals and the corresponding neighborhood relationships between individuals [39][40][41][42][43][44][45], respectively, as shown in Figure 1. Due to the limitation of sources, the number of individuals and interactions are normally assumed to be a constant during the whole evolutionary process.…”

Generation and circuit implementation of multi-block multidirectional grid multi-scroll chaotic attractors

“…In nonlinear system and circuit area, producing all kinds of different types of chaotic and hyperchaotic signals which are suitable for secure communications, digital encryption is becoming a hot topic in physics and information science in recent years [1][2][3]. In 1993, Suykens et al [4] first constructed piecewise nonlinear function on the basis of Chua's system for generating multi-scroll attractors in a single direction.…”