Faculty Database - IKEDA Kota

（Last updated : 2018-10-06 15:17:35）

IKEDA Kota
Department Undergraduate School , School of Interdisciplinary Mathematical Sciences

Position Professor

■ Books and Papers

1.	2018/09	Article	Another interpretation of Goldman-Hodgkin-Katz equation based on the Ling's adsorption theory European Biophysics Journal pp.1-11 (Collaboration)
2.	2017/09	Article	Generation of membrane potential beyond the conceptual range of Donnan theory and Goldman-Hodgkin-Katz equation Journal of Biological Physics 43(3),pp.319-340 (Collaboration)
3.	2017/07	Article	Bifurcation structure of a car-following model with nonlinear dependence on the relative velocity Transportmetrica A: Transport Science 14(5),pp.503-519 (Collaboration)
4.	2016/03	Article	Regime shift in a phytoplankton-phosphorus model with vertical structure and seasonality Tamkang Journal of Mathematics 47(1),pp.109-125 (Collaboration)
5.	2016/01	Article	Ling's Adsorption Theory as a Mechanism of Membrane Potential Generation Observed in Both Living and Nonliving Systems Membranes 6(1),pp.11 (Collaboration)
6.	2015/10	Article	Reduced model from a reaction-diffusion system of collective motion of camphor boats Discrete Contin. Dyn. Syst. Ser. S 8(5),pp.847-856 (Collaboration)
7.	2015/03	Article	Instability of multi-spot patterns in shadow systems of reaction-diffusion equations Communications on Pure and Applied Analysis 14(2),pp.717-736 (Collaboration)
8.	2015/02	Article	The Study of Dynamic Characteristics of Selemion CMV-based IPMC Actuators in Humidity-Controlled Environments 23(4),pp.742-747 (Collaboration)
9.	2014/10	Article	Curvature vs. Charge of Seleniom CMV-based IPMC Possessing the Discretely Changeable Material Characteristics ARPN Journal of Science and Technology 4(10),pp.613-623 (Collaboration)
10.	2014/09	Article	Application of a center manifold theory to a reaction-diffusion system of collective motion of camphor disks and boats Math. Bohem. 139(2),pp.363-371 (Collaboration)
11.	2014/09	Article	Dynamic Characteristics of Selemion CMV-Based IPMC Actuators in High Humidity Environment Journal of Computer and Communications 2,pp.45-52 (Collaboration)
12.	2014/01	Article	IPMC bending predicted by the circuit and viscoelastic models considering individual influence of Faradaic and non-Faradaic currents on the bending Sensors and Actuators B: Chemical 190,pp.954-967 (Collaboration)
13.	2013/03	Article	The existence and uniqueness of unstable eigenvalues for stripe patterns in the Gierer-Meinhardt system Networks and Heterogeneous Media 8(1),pp.291-325 (Single)
14.	2012/12	Article	Stability analysis for a planar traveling wave solution in an excitable system Kokyuroku Bessatsu B35,pp.125-140 (Single)
15.	2012/01	Article	Dynamics of a boundary spike for the shadow Gierer-Meinhardt system Commun. Pure Appl. Anal. 11(1),pp.115-145 (Collaboration)
16.	2012/01	Article	Traveling wave solutions of a 3-component reaction-diffusion model in smoldering combustion Commun. Pure Appl. Anal. 11(1),pp.275-305 (Collaboration)
17.	2011/05	Article	Effective dispersal rate is a function of habitat size and corridor shape : mechanistic formulation of a two-patch compartment model for spatially continuous systems Oikos 120(11),pp.1712-1720 (Collaboration)
18.	2010	Article	EXISTENCE AND STABILITY OF A TRAVELING WAVE SOLUTION ON A 3-COMPONENT REACTION-DIFFUSION MODEL IN COMBUSTION 1693,pp.132-142 (Collaboration)
19.	2008	Article	Eigenfunctions of the Adjoint Operator Associated with a Pulse Solution of Some Reaction- Diffusion Systems Bull. Inst. Math. Acad.Sinica pp.603-666 (Collaboration)
20.	2008	Article	Mathematical study of smoldering combustion under micro-gravity Recent advances in nonlinear analysis pp.113-124 (Collaboration)
21.	2008	Article	Mathematical treatment of a model for smoldering combustion Hiroshima Math. J. pp.349-361 (Collaboration)
22.	2007	Article	Mathematical treatment of a model for smoldering combustion MIMS Technical Report (Collaboration)
23.	2007	Article	Mathematical treatment of smoldering combustion under micro-gravity Proceedings of the Czech- Japanese Seminar in Applied Mathematics 2006 pp.89-97 (Collaboration)
24.	2007	Article	Stability analysis for a stripe solution in the Gierer-Meinhardt system Advanced Studies in Pure Mathematics 47(2),pp.573-588 (Single)
25.	2007	Article	Stripe Solutions of the Gierer-Meinhardt system on a rectangular domain Proceedings of the Czech- Japanese Seminar in Applied Mathematics 2006 pp.98-106 (Single)
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■ Conference Presentations

1.	2018/07/08	Reduction approach to a reaction-diffusion system for collective motions of camphor boats (The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications)
2.	2018/07/07	Quasi-Periodic Solution in a Dynamical System for the Motion of a Single Particle (The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications)
3.	2018/03/16	Quasi-periodic solution in a dynamical system for the motion of a single particle (International Conference on the Dynamics of Differential Equations)
4.	2017/11/02	Reduction approach to a reaction-diffusion system for collective motions of camphor boats (MINIWORKSHOP ON NONLINEAR ANALYSIS)
5.	2016/09/14	Reduction approach to a reaction-diffusion system for collective motions of camphor boats (Mathematics of Pattern Formation)
6.	2016/08/02	Reduction approach to a reaction-diffusion system for collective motions of camphor boats (Patterns and Waves 2016)
7.	2016/07/03	Reduction Approach to a Reaction-diffusion System for Collective Motions of Camphor Boats (11th AIMS International Conference on Dynamical Systems, Differential Equations and Applications)
8.	2015/12/18	Theoretical approach to congestion of camphor boats (Pacifichem 2015, Self-organization in Chemistry)
9.	2015/01/10	Collective Motion of Camphor Boats -- Reduction from Reaction-Diffusion Systems (ICMMA 2014 Crowd Dynamics)
10.	2014/07/08	Collective Motions of Particles with Diffusive Interactions (The 10th AIMS Conference on Dynamical Systems Differential Equations and Applications)
11.	2014/05/29	Reduced Model from a Reaction-Diffusion System of Collective Motion of Camphor Boats (Conference on Partial Differential Equations)
12.	2013/10	Collective motions of particles with diffusive interactions (2013 NIMS-KMRS PDE Conference on reaction diffusion equations for ecology and related problems)
13.	2013/09/08	Collective motions of particles with diffusive interactions (Czech-Japanese Seminar in Applied Mathematics 2013)
14.	2013/08	Interactions of traveling spots in a reaction-diffusion system (Equadiff13)
15.	2013/07	Interactions of traveling spots in a reaction-diffusion system (The Asian Mathematical Conference 2013)
16.	2012/08/28	Dynamics and Hopf Bifurcation in the Gierer-Meinhardt System (Turing Symposium on Morphogenesis)
17.	2012/07/04	Stability analysis for a planar traveling wave solution in an excitable systems (The 9th AIMS Conference on Dynamical Systems, Differential Equations and Applications)
18.	2011/11/28	Dynamics and Hopf Bifurcation in the Gierer-Meinhardt System (Modeling and Analysis in the Life Sciences : A ReaDiLab Conference in Tokyo)
19.	2011/11/15	Dynamics and Hopf Bifurcation in the Gierer-Meinhardt System (SIAM Conference on Analysis of Partial Differential Equations)
20.	2011/07/14	Stability analysis for a planar traveling wave solution in an excitable system
21.	2010/11	Mechanistic Formulation of two-patch compartment model for the spatial continuous systems
22.	2010/10/22	Formula for the dispersal rates in a compartment model (Reaction-Diffusion Systems: Experiments, Modeling, and Analysis)
23.	2010/10	Instability of multi-spots in general shadow systems for reaction-diffusion equations (International Workshop on Pattern Formation in Chemical and Biological Systems)
24.	2010/05/28	Reflection of a traveling wave in smoldering combustion (The 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications)
25.	2010/02	Instability of multi-spots in general shadow systems for reaction-diffusion equations
26.	2009/11	Instability of multi-spots in general shadow systems for reaction-diffusion equations
27.	2009/10	Reflection of a traveling wave in smoldering combustion (Nonlinear evolution equations and mathematical modeling)
28.	2009/03	Planar Traveling Wave in a Combustion Model (MAS seminar)
29.	2009/02	Existence and stability of a Planar Traveling Wave in a Combustion Model (NCTS seminar)
30.	2009/02	Instability of multipeak solutions in the shadow system of the Gierer-Meinhardt model (The 10th Northeastern Symposium on Mathematical Analysis)
31.	2009/01	Instability of multi-spots in the shadow system for the Gierer-Meinhardt model (The 26th Kyushu Symposium on Partial Differential Equations)
32.	2008/10	Instability of multi-spots in the shadow system for the Gierer-Meinhardt model (Tuesday Seminars)
33.	2008/07	Existence and Stability of a Planar Traveling Wave in a Combustion Model (2008 SIAM Conference on Nonlinear Waves and Coherent Structures)
34.	2008/06	Existence and stability of a traveling wave of a combustion model in a cylindrical domain (Recent Progress on Pattern Formation and Dynamics in Mathematical Sciences)
35.	2008/03	Existence and stability of a traveling wave in a combustion model (Minnesota student seminar 2008)
36.	2008/02	Existence and stability of a traveling wave in a combustion model (The 9th Northeastern Symposium on Mathematical Analysis)
37.	2007/11	Mathematical treatment of smoldering combustion under micro-gravity (Nonlinear Phenomena with Energy Dissipation : --- Mathematical Analysis, Modelling and Simulation ---)
38.	2007/11	On a reaction-diffusion model for smolder patterns under micro-gravity (International Conference on Nonlinear Analysis)
39.	2007/10	Mathematical treatment of a model for smoldering combustion (the Taiwan Conference- International Conference on Nonlinear Analysis)
40.	2007/10	Mathematical treatment of smoldering combustion under micro-gravity (First Chile-Japan Workshop on Nonlinear Elliptic and Parabolic PDE)
41.	2007/09	Mathematical treatment of smoldering combustion under micro-gravity (the Czech- Japanese Seminar in Applied Mathematics)
42.	2007/09	Stripe Solutions of the Gierer-Meinhardt system on a rectangular domain (Czech- Japanese Seminar in Applied Mathematics)
43.	2007/08	Mathematical treatment of smoldering combustion under micro-gravity (EQUADIFF07)
44.	2007/02	On a reaction-diffusion model for smolder patterns under micro-gravity (Workshop on Nonlinear Parabolic PDEs)
45.	2006/11	On a reaction-diffusion model for smolder patterns under micro-gravity (International Conference on Nonlinear Analysis)
46.	2006/09	Instability of stripe patterns in the Gierer-Meinhardt system (Slovak-Japan workshop on Computational Mathematics)
47.	2006/09	On a reaction-diffusion model for smolder patterns under micro-gravity (The Czech-Japanese Seminar in Applied Mathematics 2006)
48.	2005/07	Instability of stripe patterns in the Gierer-Meinhardt system (Asymptotic Analysis and Singularity)
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