کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5499478 | 1533621 | 2017 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Lyapunov analysis of the spatially discrete-continuous system dynamics
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک آماری و غیرخطی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Lyapunov analysis of the spatially discrete-continuous system dynamics Lyapunov analysis of the spatially discrete-continuous system dynamics](/preview/png/5499478.png)
چکیده انگلیسی
The spatially discrete-continuous dynamical systems, that are composed of a spatially extended medium coupled with a set of lumped elements, are frequently met in different fields, ranging from electronics to multicellular structures in living systems. Due to the natural heterogeneity of such systems, the calculation of Lyapunov exponents for them appears to be a challenging task, since the conventional techniques in this case often become unreliable and inaccurate. The paper suggests an effective approach to calculate Lyapunov exponents for discrete-continuous dynamical systems, which we test in stability analysis of two representative models from different fields. Namely, we consider a mathematical model of a 1D transferred electron device coupled with a lumped resonant circuit, and a phenomenological neuronal model of spreading depolarization, which involves 2D diffusive medium. We demonstrate that the method proposed is able reliably recognize regular, chaotic and hyperchaotic dynamics in the systems under study.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Chaos, Solitons & Fractals - Volume 104, November 2017, Pages 228-237
Journal: Chaos, Solitons & Fractals - Volume 104, November 2017, Pages 228-237
نویسندگان
Vladimir A. Maximenko, Alexander E. Hramov, Alexey A. Koronovskii, Vladimir V. Makarov, Dmitry E. Postnov, Alexander G. Balanov,