Evolutionary Modeling of Systems of Ordinary Differential Equations with Genetic Programming

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  author =       "Hongqing Cao and Lishan Kang and Yuping Chen and 
                 Jingxian Yu",
  title =        "Evolutionary Modeling of Systems of Ordinary
                 Differential Equations with Genetic Programming",
  journal =      "Genetic Programming and Evolvable Machines",
  year =         "2000",
  volume =       "1",
  number =       "4",
  pages =        "309--337",
  month =        oct,
  keywords =     "genetic algorithms, genetic programming, evolutionary
                 modeling, system of ordinary differential equations,
                 higher-order ordinary differential equation",
  ISSN =         "1389-2576",
  URL =          "http://www.ees.adelaide.edu.au/people/enviro/cao/2000-05.pdf",
  DOI =          "doi:10.1023/A:1010013106294",
  size =         "29 pages",
  abstract =     "This paper describes an approach to the evolutionary
                 modeling problem of ordinary differential equations
                 including systems of ordinary differential equations
                 and higher-order differential equations. Hybrid
                 evolutionary modeling algorithms are presented to
                 implement the automatic modeling of one- and
                 multi-dimensional dynamic systems respectively. The
                 main idea of the method is to embed a genetic algorithm
                 in genetic programming where the latter is employed to
                 discover and optimize the structure of a model, while
                 the former is employed to optimize its parameters. A
                 number of practical examples are used to demonstrate
                 the effectiveness of the approach. Experimental results
                 show that the algorithm has some advantages over most
                 available modeling methods.",
  notes =        "Article ID: 273810",

Genetic Programming entries for Hong-Qing Cao Li-Shan Kang Yu-Ping Chen Jingxian Yu