×
Compute Distance To:
Author ID: ei.shin-ichiro Recent zbMATH articles by "Ei, Shin-Ichiro"
Published as: Ei, Shin-Ichiro; Ei, S.-I.; Ei, Shin-ichiro

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 312 times in 229 Documents Cited by Year
The motion of weakly interacting pulses in reaction-diffusion systems. Zbl 1007.35039
Ei, Shin-Ichiro
51
2002
Pulse-pulse interaction in reaction-diffusion systems. Zbl 1098.35542
Ei, S.-I.; Mimura, M.; Nagayama, M.
33
2002
Effect of domain-shape on coexistence problems in a competition-diffusion system. Zbl 0737.92024
Mimura, M.; Ei, S.-I.; Fang, Q.
22
1991
Renormalization-group method for reduction of evolution equations; invariant manifolds and envelopes. Zbl 1052.81073
Ei, Shin-Ichiro; Fujii, Kazuyuki; Kunihiro, Teiji
17
2000
Spatio-temporal oscillations in the Keller-Segel system with logistic growth. Zbl 1347.35039
Ei, Shin-Ichiro; Izuhara, Hirofumi; Mimura, Masayasu
16
2014
Segregating partition problem in competition-diffusion systems. Zbl 0980.92037
Ei, Shin-Ichiro; Ikota, Ryo; Mimura, Masayasu
14
1999
Dynamics of interfaces in competition-diffusion systems. Zbl 0806.35006
Ei, S.-I.; Yanagida, E.
14
1994
\(2^n\)-splitting or edge-splitting? A manner of splitting in dissipative systems. Zbl 0983.35061
Ei, Shin-ichiro; Nishiura, Yasumasa; Ueda, Kei-ichi
13
2001
Dynamics of metastable localized patterns and its application to the interaction of spike solutions for the Gierer-Meinhardt systems in two spatial dimensions. Zbl 1029.35130
Ei, Shin-Ichiro; Wei, Juncheng
10
2002
Interacting spots in reaction diffusion systems. Zbl 1112.35104
Ei, S.-I.; Mimura, M.; Nagayama, M.
10
2006
Slow dynamics of interfaces in the Allen-Cahn equation on a strip-like domain. Zbl 0921.35012
Ei, Shin-Ichiro; Yanagida, Eiji
8
1998
Dynamics of interfaces in a scalar parabolic equation with variable diffusion coefficients. Zbl 0879.35018
Ei, Shin-Ichiro; Iida, Masato; Yanagida, Eiji
7
1997
Front dynamics in heterogeneous diffusive media. Zbl 1207.37041
Ikeda, Hideo; Ei, Shin-Ichiro
7
2010
Dynamics of front solutions in a specific reaction-diffusion system in one dimension. Zbl 1151.35049
Ei, Shin-Ichiro; Ikeda, Hideo; Kawana, Takeyuki
7
2008
Stability of stationary interfaces with contact angle in a generalized mean curvature flow. Zbl 0870.35056
Ei, S.-I.; Sato, M.-H.; Yanagida, E.
6
1996
The motion of a transition layer for a bistable reaction diffusion equation with heterogeneous environment. Zbl 1191.35033
Ei, Shin-Ichiro; Matsuzawa, Hiroshi
6
2010
Standing waves joining with Turing patterns in Fitzhugh-Nagumo type systems. Zbl 1233.35114
Chen, Chao-Nien; Ei, Shin-Ichiro; Lin, Ya-Ping; Kung, Shih-Yin
6
2011
Stability of stationary interfaces in a generalized mean curvature flow. Zbl 0799.35026
Ei, Shin-Ichiro; Yanagida, Eiji
5
1993
Dynamics of localized unimodal patterns in reaction-diffusion systems for cell polarization by extracellular signaling. Zbl 1401.35182
Kuwamura, Masataka; Seirin-Lee, Sungrim; Ei, Shin-ichiro
5
2018
Self-motion of camphor discs: model and analysis. Zbl 1189.80044
Chen, Xinfu; Ei, Shin-Ichiro; Mimura, Masayasu
5
2009
Infinite dimensional relaxation oscillation in aggregation-growth systems. Zbl 1263.35027
Ei, Shin-Ichiro; Izuhara, Hirofumi; Mimura, Masayasu
4
2012
Interaction of non-radially symmetric camphor particles. Zbl 1381.70018
Ei, Shin-Ichiro; Kitahata, Hiroyuki; Koyano, Yuki; Nagayama, Masaharu
3
2018
Neuron phase shift adaptive to time delay in locomotor control. Zbl 1168.34363
Ohgane, Kunishige; Ei, Shin-Ichiro; Mahara, Hitoshi
3
2009
Heterogeneity-induced effects for pulse dynamics in FitzHugh-Nagumo-type systems. Zbl 1415.35162
Chen, Chao-Nien; Ei, Shin-Ichiro; Tzeng, Shyuh-yaur
3
2018
The effect of non-local convection on reaction-diffusion equations. Zbl 0636.35041
Ei, Shin-Ichiro
3
1987
Reduced model from a reaction-diffusion system of collective motion of camphor boats. Zbl 1317.35121
Ei, Shin-Ichiro; Ikeda, Kota; Nagayama, Masaharu; Tomoeda, Akiyasu
3
2015
Turing patterns and wavefronts for reaction-diffusion systems in an infinite channel. Zbl 1210.35263
Chen, Chao-Nien; Ei, Shin-Ichiro; Lin, Ya-Ping
3
2010
Dynamics and interactions of spikes on smoothly curved boundaries for reaction-diffusion systems in 2D. Zbl 1282.35025
Ei, Shin-Ichiro; Ishimoto, Toshio
3
2013
Relaxation oscillations in combustion models of thermal self-ignition. Zbl 0751.34021
Ei, Shin-Ichiro; Mimura, Masayasu
2
1992
Instability of stationary solutions for equations of curvature-driven motion of curves. Zbl 0834.35019
Ei, Shin-Ichiro; Yanagida, Eiji
2
1995
Pattern formation in heterogeneous reaction-diffusion-advection systems with an application to population dynamics. Zbl 0692.34002
Ei, S.-I.; Mimura, M.
2
1990
Transitions to slow or fast diffusions provide a general property for in-phase or anti-phase polarity in a cell. Zbl 1434.35260
Seirin-Lee, S.; Sukekawa, T.; Nakahara, T.; Ishii, H.; Ei, S.-I.
2
2020
A variational approach to singular perturbation problems in reaction-diffusion systems. Zbl 1074.35009
Ei, Shin-Ichiro; Kuwamura, Masataka; Morita, Yoshihisa
2
2005
Emergence of adaptability to time delay in bipedal locomotion. Zbl 1067.92027
Ohgane, Kunishige; Ei, Shin-ichiro; Kazutoshi, Kudo; Ohtsuki, Tatsuyuki
2
2004
Dynamics of a boundary spike for the shadow Gierer-Meinhardt system. Zbl 1270.35044
Ei, Shin-Ichiro; Ikeda, Kota; Miyamoto, Yasuhito
2
2012
Application of a center manifold theory to a reaction-diffusion system of collective motion of camphor disks and boats. Zbl 1340.37085
Ei, Shin-Ichiro; Ikeda, Kota; Nagayama, Masaharu; Tomoeda, Akiyasu
2
2014
Very slow dynamics for some reaction-diffusion systems of the activator- inhibitor type. Zbl 0767.35038
Kuwamura, M.; Ei, S.-I.; Mimura, M.
1
1992
Singular perturbation problems to a combustion equation in very long cylindrical domains. Zbl 0893.35010
Mimura, M.; Sakamoto, K.; Ei, S.-I.
1
1997
Dynamics of Turing patterns for reaction-diffusion systems in a cylindrical domain on 2D. Zbl 1102.35337
Ei, Shin-ichiro
1
2006
Existence of traveling wave solutions to a nonlocal scalar equation with sign-changing kernel. Zbl 1441.34075
Ei, Shin-Ichiro; Guo, Jong-Shenq; Ishii, Hiroshi; Wu, Chin-Chin
1
2020
Spike solutions for a mass conservation reaction-diffusion system. Zbl 1435.35029
Ei, Shin-Ichiro; Tzeng, Shyuh-Yaur
1
2020
Effective nonlocal kernels on reaction-diffusion networks. Zbl 1457.92066
Ei, Shin-Ichiro; Ishii, Hiroshi; Kondo, Shigeru; Miura, Takashi; Tanaka, Yoshitaro
1
2021
Annihilation of two interfaces in a hybrid system. Zbl 1317.37098
Ei, Shin-Ichiro; Nishi, Kei; Nishiura, Yasumasa; Teramoto, Takashi
1
2015
Transient and large time behaviors of solutions to heterogeneous reaction-diffusion equations. Zbl 0569.35049
Ei, Shin-Ichiro; Mimura, Masayasu
1
1985
Instability of multi-spot patterns in shadow systems of reaction-diffusion equations. Zbl 1312.35017
Ei, Shin-Ichiro; Ikeda, Kota; Yanagida, Eiji
1
2015
Effective nonlocal kernels on reaction-diffusion networks. Zbl 1457.92066
Ei, Shin-Ichiro; Ishii, Hiroshi; Kondo, Shigeru; Miura, Takashi; Tanaka, Yoshitaro
1
2021
Transitions to slow or fast diffusions provide a general property for in-phase or anti-phase polarity in a cell. Zbl 1434.35260
Seirin-Lee, S.; Sukekawa, T.; Nakahara, T.; Ishii, H.; Ei, S.-I.
2
2020
Existence of traveling wave solutions to a nonlocal scalar equation with sign-changing kernel. Zbl 1441.34075
Ei, Shin-Ichiro; Guo, Jong-Shenq; Ishii, Hiroshi; Wu, Chin-Chin
1
2020
Spike solutions for a mass conservation reaction-diffusion system. Zbl 1435.35029
Ei, Shin-Ichiro; Tzeng, Shyuh-Yaur
1
2020
Dynamics of localized unimodal patterns in reaction-diffusion systems for cell polarization by extracellular signaling. Zbl 1401.35182
Kuwamura, Masataka; Seirin-Lee, Sungrim; Ei, Shin-ichiro
5
2018
Interaction of non-radially symmetric camphor particles. Zbl 1381.70018
Ei, Shin-Ichiro; Kitahata, Hiroyuki; Koyano, Yuki; Nagayama, Masaharu
3
2018
Heterogeneity-induced effects for pulse dynamics in FitzHugh-Nagumo-type systems. Zbl 1415.35162
Chen, Chao-Nien; Ei, Shin-Ichiro; Tzeng, Shyuh-yaur
3
2018
Reduced model from a reaction-diffusion system of collective motion of camphor boats. Zbl 1317.35121
Ei, Shin-Ichiro; Ikeda, Kota; Nagayama, Masaharu; Tomoeda, Akiyasu
3
2015
Annihilation of two interfaces in a hybrid system. Zbl 1317.37098
Ei, Shin-Ichiro; Nishi, Kei; Nishiura, Yasumasa; Teramoto, Takashi
1
2015
Instability of multi-spot patterns in shadow systems of reaction-diffusion equations. Zbl 1312.35017
Ei, Shin-Ichiro; Ikeda, Kota; Yanagida, Eiji
1
2015
Spatio-temporal oscillations in the Keller-Segel system with logistic growth. Zbl 1347.35039
Ei, Shin-Ichiro; Izuhara, Hirofumi; Mimura, Masayasu
16
2014
Application of a center manifold theory to a reaction-diffusion system of collective motion of camphor disks and boats. Zbl 1340.37085
Ei, Shin-Ichiro; Ikeda, Kota; Nagayama, Masaharu; Tomoeda, Akiyasu
2
2014
Dynamics and interactions of spikes on smoothly curved boundaries for reaction-diffusion systems in 2D. Zbl 1282.35025
Ei, Shin-Ichiro; Ishimoto, Toshio
3
2013
Infinite dimensional relaxation oscillation in aggregation-growth systems. Zbl 1263.35027
Ei, Shin-Ichiro; Izuhara, Hirofumi; Mimura, Masayasu
4
2012
Dynamics of a boundary spike for the shadow Gierer-Meinhardt system. Zbl 1270.35044
Ei, Shin-Ichiro; Ikeda, Kota; Miyamoto, Yasuhito
2
2012
Standing waves joining with Turing patterns in Fitzhugh-Nagumo type systems. Zbl 1233.35114
Chen, Chao-Nien; Ei, Shin-Ichiro; Lin, Ya-Ping; Kung, Shih-Yin
6
2011
Front dynamics in heterogeneous diffusive media. Zbl 1207.37041
Ikeda, Hideo; Ei, Shin-Ichiro
7
2010
The motion of a transition layer for a bistable reaction diffusion equation with heterogeneous environment. Zbl 1191.35033
Ei, Shin-Ichiro; Matsuzawa, Hiroshi
6
2010
Turing patterns and wavefronts for reaction-diffusion systems in an infinite channel. Zbl 1210.35263
Chen, Chao-Nien; Ei, Shin-Ichiro; Lin, Ya-Ping
3
2010
Self-motion of camphor discs: model and analysis. Zbl 1189.80044
Chen, Xinfu; Ei, Shin-Ichiro; Mimura, Masayasu
5
2009
Neuron phase shift adaptive to time delay in locomotor control. Zbl 1168.34363
Ohgane, Kunishige; Ei, Shin-Ichiro; Mahara, Hitoshi
3
2009
Dynamics of front solutions in a specific reaction-diffusion system in one dimension. Zbl 1151.35049
Ei, Shin-Ichiro; Ikeda, Hideo; Kawana, Takeyuki
7
2008
Interacting spots in reaction diffusion systems. Zbl 1112.35104
Ei, S.-I.; Mimura, M.; Nagayama, M.
10
2006
Dynamics of Turing patterns for reaction-diffusion systems in a cylindrical domain on 2D. Zbl 1102.35337
Ei, Shin-ichiro
1
2006
A variational approach to singular perturbation problems in reaction-diffusion systems. Zbl 1074.35009
Ei, Shin-Ichiro; Kuwamura, Masataka; Morita, Yoshihisa
2
2005
Emergence of adaptability to time delay in bipedal locomotion. Zbl 1067.92027
Ohgane, Kunishige; Ei, Shin-ichiro; Kazutoshi, Kudo; Ohtsuki, Tatsuyuki
2
2004
The motion of weakly interacting pulses in reaction-diffusion systems. Zbl 1007.35039
Ei, Shin-Ichiro
51
2002
Pulse-pulse interaction in reaction-diffusion systems. Zbl 1098.35542
Ei, S.-I.; Mimura, M.; Nagayama, M.
33
2002
Dynamics of metastable localized patterns and its application to the interaction of spike solutions for the Gierer-Meinhardt systems in two spatial dimensions. Zbl 1029.35130
Ei, Shin-Ichiro; Wei, Juncheng
10
2002
\(2^n\)-splitting or edge-splitting? A manner of splitting in dissipative systems. Zbl 0983.35061
Ei, Shin-ichiro; Nishiura, Yasumasa; Ueda, Kei-ichi
13
2001
Renormalization-group method for reduction of evolution equations; invariant manifolds and envelopes. Zbl 1052.81073
Ei, Shin-Ichiro; Fujii, Kazuyuki; Kunihiro, Teiji
17
2000
Segregating partition problem in competition-diffusion systems. Zbl 0980.92037
Ei, Shin-Ichiro; Ikota, Ryo; Mimura, Masayasu
14
1999
Slow dynamics of interfaces in the Allen-Cahn equation on a strip-like domain. Zbl 0921.35012
Ei, Shin-Ichiro; Yanagida, Eiji
8
1998
Dynamics of interfaces in a scalar parabolic equation with variable diffusion coefficients. Zbl 0879.35018
Ei, Shin-Ichiro; Iida, Masato; Yanagida, Eiji
7
1997
Singular perturbation problems to a combustion equation in very long cylindrical domains. Zbl 0893.35010
Mimura, M.; Sakamoto, K.; Ei, S.-I.
1
1997
Stability of stationary interfaces with contact angle in a generalized mean curvature flow. Zbl 0870.35056
Ei, S.-I.; Sato, M.-H.; Yanagida, E.
6
1996
Instability of stationary solutions for equations of curvature-driven motion of curves. Zbl 0834.35019
Ei, Shin-Ichiro; Yanagida, Eiji
2
1995
Dynamics of interfaces in competition-diffusion systems. Zbl 0806.35006
Ei, S.-I.; Yanagida, E.
14
1994
Stability of stationary interfaces in a generalized mean curvature flow. Zbl 0799.35026
Ei, Shin-Ichiro; Yanagida, Eiji
5
1993
Relaxation oscillations in combustion models of thermal self-ignition. Zbl 0751.34021
Ei, Shin-Ichiro; Mimura, Masayasu
2
1992
Very slow dynamics for some reaction-diffusion systems of the activator- inhibitor type. Zbl 0767.35038
Kuwamura, M.; Ei, S.-I.; Mimura, M.
1
1992
Effect of domain-shape on coexistence problems in a competition-diffusion system. Zbl 0737.92024
Mimura, M.; Ei, S.-I.; Fang, Q.
22
1991
Pattern formation in heterogeneous reaction-diffusion-advection systems with an application to population dynamics. Zbl 0692.34002
Ei, S.-I.; Mimura, M.
2
1990
The effect of non-local convection on reaction-diffusion equations. Zbl 0636.35041
Ei, Shin-Ichiro
3
1987
Transient and large time behaviors of solutions to heterogeneous reaction-diffusion equations. Zbl 0569.35049
Ei, Shin-Ichiro; Mimura, Masayasu
1
1985
all top 5

Cited by 328 Authors

26 Ei, Shin-Ichiro
13 Ward, Michael J.
13 Wei, Juncheng
12 Mimura, Masayasu
9 Nishiura, Yasumasa
8 van Heijster, Peter
7 Chen, Chaonien
7 Doelman, Arjen
7 Kolokolnikov, Theodore
7 Kuwamura, Masataka
7 Teramoto, Takashi
7 Wu, Shiliang
6 Chen, Chiun-Chuan
6 Nagayama, Masaharu
6 Winter, Matthias
6 Yanagida, Eiji
5 Hilhorst, Danielle
5 Izuhara, Hirofumi
5 Ninomiya, Hirokazu
4 Hung, Li-Chang
4 Ueda, Kei-ichi
3 Chen, Xinfu
3 Chiba, Hayato
3 Davoli, Elisa
3 Hsu, Cheng-Hsiung
3 Ikeda, Kota
3 Jung, Changyeol
3 Kaper, Tasso J.
3 Lee, Sungrim Seirin
3 Mo, Jiaqi
3 Morita, Yoshihisa
3 Nishi, Kei
3 Ogawa, Toshiyuki
3 Scheel, Arnd
3 Shi, Junping
3 Temam, Roger Meyer
3 Tsujikawa, Tohru
3 Zhang, Lu
2 Ao, Weiwei
2 Baronas, Romas
2 Bozorgnia, Farid
2 Breden, Maxime
2 Chirilus-Bruckner, Martina
2 Choi, Yung-Sze
2 Contento, Lorenzo
2 Gai, Chunyi
2 Garvie, Marcus R.
2 Hamel, François
2 Huang, Chih-Chiang
2 Iida, Masato
2 Ikeda, Hideo
2 Ikota, Ryo
2 Kawamura, Yoji
2 Kowalczyk, Michał
2 Kuto, Kousuke
2 Ledas, Žilvinas
2 Liu, NaiWei
2 Mahara, Hitoshi
2 Matano, Hiroshi
2 Miyaji, Tomoyuki
2 Moore, Richard O.
2 Nakao, Hiroya
2 Nakazawa, Takefumi
2 Ohgane, Kunishige
2 O’Malley, Robert E. jun.
2 Park, Eunhee
2 Promislow, Keith Steven
2 Quitalo, Veronica
2 Rademacher, Jens Diederich Michael
2 Rottschäfer, Vivi
2 Sakamoto, Kunimochi
2 Sandstede, Björn
2 Scarpa, Luca
2 Shi, Shaoyun
2 Šimkus, Remigijus
2 Takahashi, Masatomo
2 Tohma, Makoto
2 Trenchea, Catalin
2 Trussardi, Lara
2 Tzeng, Shyuh-yaur
2 Tzou, Justin C.
2 Wang, Chuncheng
2 Wang, Haiyan
2 Wang, Hao
2 Williams, David B.
2 Yan, Jingda
2 Yang, Jingyue
2 Zhang, Yuanyuan
1 Afsharnezhad, Zahra
1 Alfaro, Matthieu
1 Alikakos, Nicholas D.
1 Arakelyan, Avetik
1 Avitabile, Daniele
1 Bai, Xueli
1 Banerjee, Dhruba
1 Bard Ermentrout, G.
1 Barker, Blake
1 Bellay, Jeremy
1 Bethuel, Fabrice
1 Bhattacharjee, Jayanta K.
...and 228 more Authors
all top 5

Cited in 77 Serials

26 Journal of Differential Equations
24 Physica D
18 Japan Journal of Industrial and Applied Mathematics
11 Journal of Dynamics and Differential Equations
10 Discrete and Continuous Dynamical Systems. Series B
8 Journal of Mathematical Biology
7 Journal of Mathematical Analysis and Applications
7 Discrete and Continuous Dynamical Systems
6 Chaos
4 Nonlinearity
4 European Journal of Applied Mathematics
4 Journal of Nonlinear Science
4 Calculus of Variations and Partial Differential Equations
4 SIAM Journal on Applied Dynamical Systems
4 Discrete and Continuous Dynamical Systems. Series S
3 Bulletin of Mathematical Biology
3 Transactions of the American Mathematical Society
3 SIAM Journal on Mathematical Analysis
3 Nonlinear Dynamics
2 Applicable Analysis
2 Archive for Rational Mechanics and Analysis
2 Journal of Engineering Mathematics
2 Journal of Mathematical Physics
2 Advances in Mathematics
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Theoretical Population Biology
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Applied Mathematics Letters
2 Applied Mathematical Modelling
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 SIAM Journal on Applied Mathematics
2 Wuhan University Journal of Natural Sciences (WUJNS)
2 Communications in Nonlinear Science and Numerical Simulation
2 Nonlinear Analysis. Real World Applications
2 Communications on Pure and Applied Analysis
2 Journal of Theoretical Biology
1 Biological Cybernetics
1 Communications in Mathematical Physics
1 International Journal of Theoretical Physics
1 Journal of Fluid Mechanics
1 Mathematical Biosciences
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Applied Mathematics and Computation
1 Hiroshima Mathematical Journal
1 Journal of Computational and Applied Mathematics
1 Kybernetika
1 Numerische Mathematik
1 Results in Mathematics
1 Studies in Applied Mathematics
1 Tohoku Mathematical Journal. Second Series
1 Acta Applicandae Mathematicae
1 Japan Journal of Applied Mathematics
1 Asymptotic Analysis
1 Journal of Scientific Computing
1 Neural Computation
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Communications in Partial Differential Equations
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 NoDEA. Nonlinear Differential Equations and Applications
1 Abstract and Applied Analysis
1 Journal of Shanghai University
1 Fractional Calculus & Applied Analysis
1 Journal of the European Mathematical Society (JEMS)
1 Journal of Biological Systems
1 Nonlinear Analysis. Modelling and Control
1 Dynamical Systems
1 Advances in Difference Equations
1 Mathematical Biosciences and Engineering
1 Journal of Biological Dynamics
1 Kinetic and Related Models
1 Differential Equations and Applications
1 Journal of Computational Dynamics
1 Advances in Nonlinear Analysis
1 Journal of Mathematics
1 Nonlinear Analysis. Theory, Methods & Applications
1 Computational Methods for Differential Equations
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Citations by Year