In this paper, we investigate the effect due to the change of topology structure of network on the nonlinear dynamical behavior, by virtue of the OFC neuron evolution model with attack and repair strategy based on the...In this paper, we investigate the effect due to the change of topology structure of network on the nonlinear dynamical behavior, by virtue of the OFC neuron evolution model with attack and repair strategy based on the small world. In particular, roles of various parameters relating to the dynamical behavior are carefully studied and analyzed. In addition, the avalanche and EEC-like wave activities with attack and repair strategy are also explored in detail in this work.展开更多
The synchronous conditions of two kinds of the small-world （SW） network are studied. The small world topology can affect on dynamical behaviors of the beam transport network （BTN） largely, if the BTN is constructe...The synchronous conditions of two kinds of the small-world （SW） network are studied. The small world topology can affect on dynamical behaviors of the beam transport network （BTN） largely, if the BTN is constructed with the SW topology, the global linear coupling and special linear feedback can realize the synchronization control of beam halo-chaos as well as periodic state in the BTN with the SW topology, respectively. This important result can provide an effective way for the experimental study and the engineering design of the BTN in the high-current accelerator driven radioactive clean nuclear power systems, and may have potential use in prospective applications for halo-chaos secure communication.展开更多
Adaptive synchronization in NW small-world dynamical networks was studied. Firstly, an adaptive synchronization method is presented and explained. Then, it is applied to two different classes of dynamical networks, on...Adaptive synchronization in NW small-world dynamical networks was studied. Firstly, an adaptive synchronization method is presented and explained. Then, it is applied to two different classes of dynamical networks, one is a class-B network, small-world connected R6 ssler oscillators, the other is a class-A network, small-world connected Chua＇s circuits. The simulation verifies the validity of the presented method. It also shows that the adaptive synchronization method is robust to the variations of the node systems parameters. So the presented method can be used in networks whose node systems have unknown or time-varying parameters.展开更多
Complex behavior in a selective aging simple neuron model based on small world networks is investigated. The basic elements of the model are endowed with the main features of a neuron function. The structure of the se...Complex behavior in a selective aging simple neuron model based on small world networks is investigated. The basic elements of the model are endowed with the main features of a neuron function. The structure of the selective aging neuron model is discussed. We also give some properties of the new network and find that the neuron model displays a power-law behavior. If the brain network is small world-like network, the mean avalanche size is almost the same unless the aging parameter is big enough.展开更多
A long-term common belief in complex networks is that,the most connected nodes are the most efficient spreaders.However,recent investigations on real-world complex networks show that the most influential spreaders are...A long-term common belief in complex networks is that,the most connected nodes are the most efficient spreaders.However,recent investigations on real-world complex networks show that the most influential spreaders are those with the highest fc-shell values.It is well-known that,many real-world complex networks have scale free(SF),small world(SW) properties,therefore,identification of influential spreaders in general artificial SF,SW as well as random networks will be more appealing.This research finds that,for artificial ER and SW networks,degree is more reliable than fc-shell in predicting the outcome of spreading.However,for artificial SF networks,fc-shell is remarkably reliable than degree and betweeness,which indicate that the four recently investigated real-world networks[Kitsak M,Gallos L K,Havlin S,Liljeros F,Muchnik L,Stanley H E,Makse H A,Identification of influential spreaders in complex networks,Nat.Phys.,2010,6:888-893.]are more similar to scale free ones.Moreover,the investigations also indicate us an optimal dissemination strategy in networks with scale free property.That is,starting from moderate-degree-nodes will be ok and even more economical,since one can derive roughly similar outcome with starting from hubs.展开更多
基金The project supported by National Natural Science Foundation of China under Grant No.10675060
文摘In this paper, we investigate the effect due to the change of topology structure of network on the nonlinear dynamical behavior, by virtue of the OFC neuron evolution model with attack and repair strategy based on the small world. In particular, roles of various parameters relating to the dynamical behavior are carefully studied and analyzed. In addition, the avalanche and EEC-like wave activities with attack and repair strategy are also explored in detail in this work.
基金The project supported by the Key Projects of National Natural Science Foundation of China under Grant No. 70431002 and National Natural Science Foundation of China under Grant Nos. 70371068 and 10247005
文摘The synchronous conditions of two kinds of the small-world （SW） network are studied. The small world topology can affect on dynamical behaviors of the beam transport network （BTN） largely, if the BTN is constructed with the SW topology, the global linear coupling and special linear feedback can realize the synchronization control of beam halo-chaos as well as periodic state in the BTN with the SW topology, respectively. This important result can provide an effective way for the experimental study and the engineering design of the BTN in the high-current accelerator driven radioactive clean nuclear power systems, and may have potential use in prospective applications for halo-chaos secure communication.
基金The National Natural Science Foundation of China(No.70571017)
文摘Adaptive synchronization in NW small-world dynamical networks was studied. Firstly, an adaptive synchronization method is presented and explained. Then, it is applied to two different classes of dynamical networks, one is a class-B network, small-world connected R6 ssler oscillators, the other is a class-A network, small-world connected Chua＇s circuits. The simulation verifies the validity of the presented method. It also shows that the adaptive synchronization method is robust to the variations of the node systems parameters. So the presented method can be used in networks whose node systems have unknown or time-varying parameters.
基金National Natural Science Foundation of China under Grant No.10675060
文摘Complex behavior in a selective aging simple neuron model based on small world networks is investigated. The basic elements of the model are endowed with the main features of a neuron function. The structure of the selective aging neuron model is discussed. We also give some properties of the new network and find that the neuron model displays a power-law behavior. If the brain network is small world-like network, the mean avalanche size is almost the same unless the aging parameter is big enough.
基金supported by the National Natural Science Foundation of China under Grant Nos.11172215,61304151,61174028China-Australia Health and HIV/AIDS Facility(FA36 EID101)the Science Foundation of Henan University under Grant No.2012YBZR007
文摘A long-term common belief in complex networks is that,the most connected nodes are the most efficient spreaders.However,recent investigations on real-world complex networks show that the most influential spreaders are those with the highest fc-shell values.It is well-known that,many real-world complex networks have scale free(SF),small world(SW) properties,therefore,identification of influential spreaders in general artificial SF,SW as well as random networks will be more appealing.This research finds that,for artificial ER and SW networks,degree is more reliable than fc-shell in predicting the outcome of spreading.However,for artificial SF networks,fc-shell is remarkably reliable than degree and betweeness,which indicate that the four recently investigated real-world networks[Kitsak M,Gallos L K,Havlin S,Liljeros F,Muchnik L,Stanley H E,Makse H A,Identification of influential spreaders in complex networks,Nat.Phys.,2010,6:888-893.]are more similar to scale free ones.Moreover,the investigations also indicate us an optimal dissemination strategy in networks with scale free property.That is,starting from moderate-degree-nodes will be ok and even more economical,since one can derive roughly similar outcome with starting from hubs.
