ArticleEntropy (Basel, Switzerland)2019
Parameter Identification of Fractional-Order Discrete Chaotic Systems.
Article in Entropy (Basel, Switzerland), 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
What it found
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Who cites it
3 citing papers in PubMed.
- Dynamic Effects Analysis in Fractional Memristor-Based Rulkov Neuron Model.Biomimetics (Basel, Switzerland) · 2024Article
- Differential evolution and particle swarm optimization against COVID-19.Artificial intelligence review · 2022Article
- SEIR modeling of the COVID-19 and its dynamics.Nonlinear dynamics · 2020Article
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Authors and funding
4 authors.
Funding
Abstract
Research on fractional-order discrete chaotic systems has grown in recent years, and chaos synchronization of such systems is a new topic. To address the deficiencies of the extant chaos synchronization methods for fractional-order discrete chaotic systems, we proposed an improved particle swarm optimization algorithm for the parameter identification. Numerical simulations are carried out for the Hénon map, the Cat map, and their fractional-order form, as well as the fractional-order standard iterated map with hidden attractors. The problem of choosing the most appropriate sample size is discussed, and the parameter identification with noise interference is also considered. The experimental results demonstrate that the proposed algorithm has the best performance among the six existing algorithms and that it is effective even with random noise interference. In addition, using two samples offers the most efficient performance for the fractional-order discrete chaotic system, while the integer-order discrete chaotic system only needs one sample.
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