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物理学报  2007 

Parameter estimation for Lorenz chaotic systems based on chaotic ant swarm algorithm
基于混沌蚂蚁群算法的Lorenz混沌系统的参数估计

Keywords: parameter estimation,Lorenz chaotic system,chaotic ant swarm algorithm,numerical optimization
参数估计
,Lorenz混沌系统,混沌蚂蚁群算法,数值优化

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Abstract:

The chaotic ant swarm algorithm is a chaos optimization algorithm based on swarm intelligence theory which was inspired by the chaotic and self-organizing behavior of the ants in nature. It includes both effects of chaotic dynamics and swarm-based search. Through the construction of a suitable fitness function, the problem of parameter estimation of the chaotic system is converted to a problem of parameter optimization which could be solved via chaotic ant swarm algorithm. Chaotic ant swarm algorithm has the ability of global search. A numerical simulation on the well-known Lorenz chaotic system is conducted. Simulation results show that the proposed method is effective in parameter estimation of the chaotic system.

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