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ISSN 0474-8662. Information Extraction and Processing. 2017. Issue 45 (121)
Wawelet transform application for classification of solutions of reaction-diffusion systems
Vasjunyk Z. I.
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics
Maksymiv Y. I.
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics
Meleshko V. V.
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics
https://doi.org/10.15407/vidbir2017.45.050
Keywords: self-organization phenomena, systems of reaction-diffusion, time fractional derivatives, wavelet transform, signal processing, analysis and classification of solutions, oscillatory and chaotic solutions
Cite as: Vasjunyk Z. I., Maksymiv Y. I., Meleshko V. V. Wawelet transform application for classification of solutions of reaction-diffusion systems. Information Extraction and Processing. 2017, 45(121), 50-55. DOI:https://doi.org/10.15407/vidbir2017.45.050
Abstract
Girer–Meynxardt type system of reaction-diffusion with classical derivatives and Bryusselyator system with fractional time derivatives are investigated. On the basis of computer simulations it is shown that qualitatively different types of oscillatory solutions may arise due to instability in these systems. Wavelet transformations are applied to analyze and classify the solutions of such systems, A comparative estimation of wavelet transforms of oscillatory and chaotic solutions is given and it is shown that such method of classification of solutions is effective.
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