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Cascading Failure of Complex Networks Based on Load Local Preferential Redistribution Rule
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DUAN Dongli
Complex Systems and Complexity Science. 2015, 12 (1): 33-39.
DOI: 10.13306/j.1672-3813.2015.01.005
To better explore the universal robustness against cascading failures on complex networks, closely focusing on the load which is the most important physical quantity that can affect the spread of cascading failure, and dynamic process after a node fails, a cascading failure model with tunable parameters is proposed based on the local characteristic of node. With this model we study the cascading failure condition of ER and BA networks, and obtain the formula of phase transition point theoretically. The relationship between the robustness against cascading failures on complex networks and parameters in the model, including the topology parameters, the initial load coefficient, and the redistribution coefficient, is discussed numerically. In addition, theoretical results also are verified by the simulation results of the ER and BA networks.
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Command and Control Model Based on Complex Information Relation Integration
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ZHU Gang, TAN Xiansi, WANG Hong, BI Hongkui, WU Heng
Complex Systems and Complexity Science. 2015, 12 (1): 53-61.
DOI: 10.13306/j.1672-3813.2015.01.008
In order to describe collaborative decision-making process, the command and control model is put forward based on complex information relation integrtion and OODA. The characteristics of individual decision-making are analyzed, the complex information relation is considered as the cause of OODA difficulty to describe collaborative decision-making exactly. From the perspective of armament system of systems combat, the information, data, intelligence and knowledge is defined based on knowledge management and Shannon′s entropy theory. The basic element is confirmed and the information flow way is analyzed which in the physical, information, cognitive and social domains. From the perspective of information, the armament system of systems complex networks model framework is put forward based on the idea of using OODA to guide armament system of systems complex networks model design. The data, information, intelligence and knowledge flow is analyzed and the describing meta-model is put forward. Using the reticular structure of OODA to describe collaborative decision-making idea is proposed, the command and control model is put forward based on the idea, the simulating tool ExtendSim is used for simulation analysis and results show that our work offer a reference for innovate command and control thory.
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Combat Capability Fractal Model of Morphological Evolution
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SUN Juwei, WANG Zhixin, WANG Xiaoqiang
Complex Systems and Complexity Science. 2015, 12 (1): 62-69.
DOI: 10.13306/j.1672-3813.2015.01.009
For adapting to the changing needs of the combat capability model generating, the paper discusses the factal mechanism of combat elements interaction, and demonstrate the combat capability fractal model of morphological evolution including generation, maintenance, change and decay, reveals the fractal nature of combat capability morphological evolution, based on basic principles of the general systems theory and the basic definition of combat capability.Explains the fractal nature and the source of the classic model of combat capability morphological evolution based on statistics or experience, such as Lanchester equation, Osipov equation and the combat capability index model.Combining with an attack instance, quantitatively validated the force forms and degradation of the combat capability morphological evolution.
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Research and Circuit Simulation on SNR Gain of Vibrational Stochastic Resonance
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REN Yuhao, JI Bing, XU Liyan, DUAN Fabing
Complex Systems and Complexity Science. 2015, 12 (1): 104-109.
DOI: 10.13306/j.1672-3813.2015.01.016
In order to improve the output signal-to-noise ratio (SNR) of a hard-limiter circuit array, we study the mechanisms of vibrational stochastic resonance and array stochastic resonance, and then demonstrate the possible improvement via the electro-circuit experiments. Using both methods of stochastic resonance, we find that nonlinear system can cooperate with input signal and internal noise, resulting in the enhancement of output SNR. Moreover, upon increasing the array size, the SNR gain can be greater than unity for certain regions of noise intensity. It is also noted that, comparing with the method of array stochastic resonance, vibrational stochastic resonance can get better output SNR, and be easily implemented.
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