A New Cost Function for Parameter Estimation of Chaotic Systems Using Return Maps as Fingerprints

作者: Sajad Jafari , Julien C Sprott , Viet-Thanh Pham , S Mohammad Reza Hashemi Golpayegani , Amir Homayoun Jafari

DOI: 10.1142/S021812741450134X

关键词: Similarity measureControl theoryAttractorChaoticAlgorithmTime seriesFunction (mathematics)Time domainSimilarity (geometry)Estimation theoryMathematics

摘要: Estimating parameters of a model system using observed chaotic scalar time series data is topic active interest. To estimate these requires suitable similarity indicator between the and systems. Many works have considered measure in domain, which has limitations because sensitive dependence on initial conditions. On other hand, there are features systems that not to conditions such as topology strange attractor. We used this feature propose new cost function for parameter estimation models, we show its efficacy several simple

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