Art

J-GLOBAL ID：201802224196463747   Reference number：18A0123689

Study on Change of Stability Levels of Coexisting Multiple Solutions in Nonlinear PDE System

非線形偏微分方程式系における共存多重解の安定性レベル変化の研究

Author (1)： HATAUE Itaru (Kanazawa Univ., Kanazawa, JPN)
Material： Information (Koganei)
Volume： 20  Issue： 8(A)  Page： 5499-5508  Publication year： Aug. 2017 
JST Material Number： L7416A  ISSN： 1343-4500  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： *partial differential equation ,  *nonlinear equation ,  oscillator ,  solution (mathematics) ,  random noise ,  asymptotic solution ,  initial condition ,  bistability ,  *reaction-diffusion system ,  property ,  mathematical model ,  *non-linear differential equation ,  randomness
Semi thesaurus term： van der Pol oscillator ,  randomness ,  FitzHugh-Nagumoモデル

JST classification (2)： Numerical computation  (JE02000J) ,  Mathematical physics  (BA03000W)

Reference (8)：

• Ohta, T. and Kiyose, J., Collision of Domain Boundaries in a Reaction-Diffusion System, J. Phys. Soc. Jpn., 65(1996), 1967-1970.
• Ohta, T., Kiyose, J. and Mimura, M., Collision of Propagating Pulses in a Reaction-Diffusion System, J. Phys. Soc. Jpn., 66(1997), 1551-1558.
• Hataue, I., On Immovable Boundary between Coexisting Solutions and Synchronization in Reaction-Diffusion System, J. Phys. Soc. Japan, 85(2016), 74005.
• Hataue, I., Dependence of Asymptotic Solutions of 2-D Fitz-Hugh Nagumo Model on Random Noises, Information, Vol. 20, No. 2B(2017), 1065-1074.
• Hodgkin, A. L. and Huxley, A. F., A Quantitative Description of Membrane Current and its Application to Conduction and Excitation in Nerve, J. Physiol., 117(1952), 500-544.

Terms in the title (7)： 非線形 ,  偏微分方程式 ,  共存 ,  多重 ,  解 ,  安定性 ,  研究