Edit Profile (opens in new tab) Nishiura, Yasumasa Compute Distance To: Compute Author ID: nishiura.yasumasa Published as: Nishiura, Yasumasa; Nishiura, Y. External Links: Wikidata · GND · IdRef Documents Indexed: 97 Publications since 1977, including 1 Book 5 Contributions as Editor Biographic References: 1 Publication Co-Authors: 60 Co-Authors with 86 Joint Publications 1,286 Co-Co-Authors all top 5 Co-Authors 16 single-authored 15 Teramoto, Takashi 11 Mimura, Masayasu 10 Ohnishi, Isamu 9 Ueda, Kei-ichi 7 Fujii, Hiroshi 5 Iima, Makoto 5 Suzuki, Hiromasa 5 Ueyama, Daishin 4 Nishi, Kei 3 Doelman, Arjen 3 Ei, Shin-Ichiro 3 Hilhorst, Danielle 3 Ikeda, Hideo 3 Kokubu, Hiroshi 3 Takaishi, Takeshi 3 van Heijster, Peter 3 Watanabe, Takeshi 3 Yadome, Masaaki 2 Caginalp, Gunduz 2 Chen, Chaonien 2 Imai, Hitoshi 2 Imai, Masaki 2 Iron, David 2 Logak, Elisabeth 2 Natori, Makoto 2 Oka, Hiroe 2 Shinohara, Yoshitane 2 Taniguchi, Masaharu 2 Xie, Shuangquan 2 Yuan, Xiaohui 2 Zhou, Weidong 1 Chen, Hua 1 Dkhil, Fathi 1 Escher, Joachim 1 Gilad, Erez 1 Henry, Marie 1 Hosono, Yuzo 1 Ikeda, Tsutomu 1 Kan-on, Yukio 1 Kaper, Tasso J. 1 Kolokolnikov, Theodore 1 Kotani, Motoko 1 Li, Tatsien 1 Long, Yiming 1 Matsushita, Yushu 1 Mischaikow, Konstantin 1 Nagayama, Masaharu 1 Oka, Hireo 1 Oyama, Yoshihito 1 Satake, Akiko 1 Seki, Motohide 1 Shidawara, Junko 1 Silber, Mary 1 Takagi, Izumi 1 Tsujikawa, Tohru 1 Uecker, Hannes 1 Yamaguti, Masaya 1 Yanagida, Eiji 1 Yanagita, Tatsuo 1 Yochelis, Arik all top 5 Serials 8 Physica D 7 SIAM Journal on Mathematical Analysis 5 Japan Journal of Industrial and Applied Mathematics 4 Proceedings of the Japan Academy. Series A 4 SIAM Journal on Applied Dynamical Systems 3 Hokkaido Mathematical Journal 3 Journal of Differential Equations 3 Chaos 3 RIMS Kokyuroku 2 Nonlinearity 2 Rocky Mountain Journal of Mathematics 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Hiroshima Mathematical Journal 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Applied Mathematics 2 Journal of Dynamics and Differential Equations 1 Journal of Fluid Mechanics 1 Journal of Mathematical Biology 1 Journal für die Reine und Angewandte Mathematik 1 Quarterly of Applied Mathematics 1 Asymptotic Analysis 1 Neural Networks 1 Tatra Mountains Mathematical Publications 1 Methods and Applications of Analysis 1 Forma 1 Communications on Pure and Applied Analysis 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Translations of Mathematical Monographs 1 Tohoku Mathematical Publications 1 Nankai Series in Pure, Applied Mathematics and Theoretical Physics 1 RIMS Kôkyûroku Bessatsu 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Math-for-Industry 1 Journal of Theoretical Biology 1 Springer Proceedings in Mathematics & Statistics 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 86 Partial differential equations (35-XX) 20 Dynamical systems and ergodic theory (37-XX) 14 Biology and other natural sciences (92-XX) 10 Statistical mechanics, structure of matter (82-XX) 8 Numerical analysis (65-XX) 7 Ordinary differential equations (34-XX) 5 General and overarching topics; collections (00-XX) 5 Mechanics of deformable solids (74-XX) 5 Fluid mechanics (76-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Classical thermodynamics, heat transfer (80-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 68 Publications have been cited 878 times in 504 Documents Cited by ▼ Year ▼ Global structure of bifurcating solutions of some reaction-diffusion systems. Zbl 0501.35010Nishiura, Y. 86 1982 Stability of singularly perturbed solutions to systems of reaction- diffusion equations. Zbl 0638.35010Nishiura, Yasumasa; Fujii, Hiroshi 73 1987 A skeleton structure of self-replicating dynamics. Zbl 0936.35090Nishiura, Yasumasa; Ueyama, Daishin 53 1999 Some mathematical aspects of the micro-phase separation in diblock copolymers. Zbl 1194.82069Nishiura, Yasumasa; Ohnishi, Isamu 51 1995 Spatio-temporal chaos for the Gray-Scott model. Zbl 0981.35022Nishiura, Yasumasa; Ueyama, Daishin 46 2001 Coexistence problem for two competing species models with density- dependent diffusion. Zbl 0562.92011Mimura, Masayasu; Nishiura, Yasumasa 44 1984 Layer oscillations in reaction-diffusion systems. Zbl 0691.35009Nishiura, Yasumasa; Mimura, Masayasu 42 1989 Singular limit analysis of stability of traveling wave solutions in bistable reaction-diffusion systems. Zbl 0713.35009Nishiura, Y.; Mimura, M.; Ikeda, H.; Fujii, H. 36 1990 Coexistence of infinitely many stable solutions to reaction diffusion systems in the singular limit. Zbl 0806.35079Nishiura, Yasumasa 30 1994 Scattering of traveling spots in dissipative systems. Zbl 1144.37393Nishiura, Yasumasa; Teramoto, Takashi; Ueda, Kei-Ichi 30 2005 Global bifurcation phenomena to travelling wave solutions for some bistable reaction-diffusion systems. Zbl 0687.35008Ikeda, H.; Mimura, M.; Nishiura, Y. 26 1989 Dynamics of traveling pulses in heterogeneous media. Zbl 1163.37356Nishiura, Yasumasa; Teramoto, Takashi; Yuan, Xiaohui; Ueda, Kei-Ichi 23 2007 Far-from-equilibrium dynamics. Transl. from the Japanese by Kunimochi Sakamoto. Zbl 1013.37001Nishiura, Yasumasa 22 2002 Analytical solutions describing the phase separation driven by a free energy functional containing a long-range interaction term. Zbl 0970.35151Ohnishi, Isamu; Nishiura, Yasumasa; Imai, Masaki; Matsushita, Yushu 18 1999 Pinned fronts in heterogeneous media of jump type. Zbl 1208.35010van Heijster, Peter; Doelman, Arjen; Kaper, Tasso J.; Nishiura, Yasumasa; Ueda, Kei-Ichi 17 2011 Some diffusive prey and predator systems and their bifurcation problems. Zbl 0437.92027Mimura, Masayasu; Nishiura, Yasumasa; Yamaguti, Masaya 16 1979 Heteroclinic and homoclinic bifurcations in bistable reaction diffusion systems. Zbl 0718.35010Kokubu, Hiroshi; Nishiura, Yasumasa; Oka, Hiroe 14 1990 \(2^n\)-splitting or edge-splitting? A manner of splitting in dissipative systems. Zbl 0983.35061Ei, Shin-ichiro; Nishiura, Yasumasa; Ueda, Kei-ichi 13 2001 Heterogeneity-induced spot dynamics for a three-component reaction-diffusion system. Zbl 1264.35038Nishiura, Yasumasa; Teramoto, Takashi; Yuan, Xiaohui 12 2012 Localized patterns in a three-component Fitzhugh-Nagumo model revisited via an action functional. Zbl 1402.35026van Heijster, Peter; Chen, Chao-Nien; Nishiura, Yasumasa; Teramoto, Takashi 12 2018 A free boundary problem arising in some reacting-diffusing system. Zbl 0752.35093Hilhorst, D.; Nishiura, Y.; Mimura, M. 11 1991 Morphological characterization of the diblock copolymer problem with topological computation. Zbl 1204.82044Teramoto, Takashi; Nishiura, Yasumasa 10 2010 Stability of traveling waves and a relation between the Evans function and the SLEP equation. Zbl 0847.35014Ikeda, Hideo; Nishiura, Yasumasa; Suzuki, Hiromasa 10 1996 Pattern selection for two breathers. Zbl 0791.35063Ikeda, Tsutomu; Nishiura, Yasumasa 10 1994 Spontaneous formation of travelling localized structures and their asymptotic behaviour in binary fluid convection. Zbl 1275.76095Watanabe, Takeshi; Iima, Makoto; Nishiura, Yasumasa 9 2012 Dynamics of traveling pulses in heterogeneous media of jump type. Zbl 1145.35021Nishiura, Yasumasa; Oyama, Yoshihito; Ueda, Kei-ichi 9 2007 Instability of planar interfaces in reaction-diffusion systems. Zbl 0806.35083Taniguchi, Masaharu; Nishiura, Yasumasa 8 1994 The existence of travelling waves for phase field equations and convergence to sharp interface models in the singular limit. Zbl 0743.35028Caginalp, G.; Nishiura, Y. 8 1991 Destabilization of fronts in a class of bistable systems. Zbl 1063.35023Doelman, Arjen; Iron, David; Nishiura, Yasumasa 7 2004 Instability of singularly perturbed Neumann layer solutions in reaction- diffusion systems. Zbl 0735.35009Nishiura, Yasumasa; Tsujikawa, Tohru 7 1990 Slep method to the stability of singularly perturbed solutions with multiple internal transition layers in reaction-diffusion systems. Zbl 0642.35009Nishiura, Yasumasa; Fujii, Hiroshi 7 1987 Global structure of bifurcating solutions of some reaction-diffusion systems and their stability problem. Zbl 0505.76103Nishiura, Yasumasa 6 1982 A mathematical mechanism for instabilities in stripe formation on growing domains. Zbl 1228.92010Ueda, Kei-Ichi; Nishiura, Yasumasa 6 2012 Pattern formation in coupled reaction-diffusion systems. Zbl 0849.35053Takaishi, Takeshi; Mimura, Masayasu; Nishiura, Yasumasa 6 1995 Pinned solutions in a heterogeneous three-component FitzHugh-Nagumo model. Zbl 1415.35018van Heijster, Peter; Chen, Chao-Nien; Nishiura, Yasumasa; Teramoto, Takashi 6 2019 Singular limit of a second order nonlocal parabolic equation of conservative type arising in the micro-phase separation of diblock copolymers. Zbl 1041.35008Henry, M.; Hilhorst, D.; Nishiura, Y. 6 2003 Robust pulse generators in an excitable medium with jump-type heterogeneity. Zbl 1331.35040Yadome, Masaaki; Nishiura, Yasumasa; Teramoto, Takashi 5 2014 A skeleton of collision dynamics: hierarchical network structure among even-symmetric steady pulses in binary fluid convection. Zbl 1375.76179Watanabe, Takeshi; Iima, Makoto; Nishiura, Yasumasa 5 2016 Higher dimensional SLEP equation and applications to morphological stability in polymer problems. Zbl 1074.35011Nishiura, Yasumasa; Suzuki, Hiromasa 5 2004 Dynamics of two interfaces in a hybrid system with jump-type heterogeneity. Zbl 1384.37102Nishi, Kei; Nishiura, Yasumasa; Teramoto, Takashi 5 2013 Spatial patterns for an interaction-diffusion equation in morphogenesis. Zbl 0402.92005Mimura, Masayasu; Nishiura, Yasumasa 5 1979 Stability and characteristic wavelength of planar interfaces in the large diffusion limit of the inhibitor. Zbl 0848.35065Taniguchi, Masaharu; Nishiura, Yasumasa 5 1996 Nonexistence of higher dimensional stable turing patterns in the singular limit. Zbl 0921.35014Nishiura, Yasumasa; Suzuki, Hiromasa 5 1998 Smooth unique solutions for a modified Mullins-Sekerka model arising in diblock copolymer melts. Zbl 1017.35088Escher, Joachim; Nishiura, Yasumasa 4 2002 Chaotic pulses for discrete reaction diffusion systems. Zbl 1170.35459Nishiura, Yasumasa; Ueyama, Daishin; Yanagita, Tatsuo 4 2005 Unstable periodic solution controlling collision of localized convection cells in binary fluid mixture. Zbl 1167.37043Iima, Makoto; Nishiura, Yasumasa 4 2009 Corrections to: “Singular limit approach to stability and bifurcation for bistable reaction diffusion systems”. Zbl 0826.35008Nishiura, Yasumasa 4 1991 Oscillations in segregation of competing populations. Zbl 0664.92015Mimura, M.; Kan-on, Y.; Nishiura, Y. 4 1988 On the structure of multiple existence of stable stationary solutions in systems of reaction-diffusion equations. Zbl 0684.35054Fujii, Hiroshi; Nishiura, Yasumasa; Hosono, Yuzo 4 1986 Connecting orbit structure of monotone solutions in the shadow system. Zbl 0902.35058Kokubu, Hiroshi; Mischaikow, Konstantin; Nishiura, Yasumasa; Oka, Hireo; Takaishi, Takeshi 3 1997 Spectral comparison between the second and the fourth order equations of conservative type with non-local terms. Zbl 0905.35009Ohnishi, Isamu; Nishiura, Yasumasa 3 1998 Singular limit approach to stability and bifurcation for bistable reaction diffusion systems. Zbl 0804.35059Nishiura, Yasumasa 3 1991 Collisions of localized traveling-wave convection cells in binary fluid. Zbl 1090.35144Iima, Makoto; Nishiura, Yasumasa 3 2005 Spatial patterns for interaction-diffusion equations in biology. Zbl 0427.92014Mimura, Masayasu; Nishiura, Yasumasa 2 1978 Some analytical results on the Gray-Scott model. Zbl 1071.35062Dkhil, F.; Logak, E.; Nishiura, Y. 2 2004 Annihilation of two interfaces in a hybrid system. Zbl 1317.37098Ei, Shin-Ichiro; Nishi, Kei; Nishiura, Yasumasa; Teramoto, Takashi 1 2015 Self-replication, self-destruction, and spatio-temporal chaos in the Gray-Scott model. Zbl 1003.92520Nishiura, Yasumasa; Ueyama, Daishin 1 2000 Asymptotic configuration of stationary interfacial patterns for reaction diffusion systems. Zbl 0885.35006Nishiura, Yasumasa; Suzuki, Hiromasa 1 1997 Global bifurcational approach to the onset of spatio-temporal chaos in reaction diffusion systems. Zbl 1017.35018Nishiura, Yasumasa 1 2001 Matched asymptotic expansion approach to pulse dynamics for a three-component reaction-diffusion system. Zbl 1475.35024Nishiura, Yasumasa; Suzuki, Hiromasa 1 2021 A hidden bifurcational structure for self-replicating dynamics. Zbl 0907.35013Nishiura, Yasumasa; Ueyama, Daishin 1 1998 Reduction approach to the dynamics of interacting front solutions in a bistable reaction-diffusion system and its application to heterogeneous media. Zbl 1453.35118Nishi, Kei; Nishiura, Yasumasa; Teramoto, Takashi 1 2019 Global branching theorem for spatial patterns of reaction-diffusion system. Zbl 0464.35007Nishiura, Yasumasa 1 1979 Refraction, reflection and splitting. Zbl 1381.35072Nishiura, Yasumasa; Teramoto, Takashi 1 2012 Indecisive behavior of amoeba crossing an environmental barrier. Zbl 1132.92002Takagi, S.; Nishiura, Y.; Nakagaki, T.; Ueda, T.; Ueda, K.-I. 1 2007 Stability theorem for singularly perturbed solutions to systems of reaction-diffusion equations. Zbl 0626.35009Nishiura, Yasumasa; Fujii, Hiroshi 1 1985 Mesoscopic morphology and scaling law of stationary interfacial patterns for reaction diffusion systems. Zbl 0812.35009Nishiura, Yasumasa 1 1994 Dynamics of \(N\)-spot rings with oscillatory tails in a three-component reaction-diffusion system. Zbl 1497.35301Nishiura, Yasumasa; Xie, Shuangquan 1 2022 Dynamics of \(N\)-spot rings with oscillatory tails in a three-component reaction-diffusion system. Zbl 1497.35301Nishiura, Yasumasa; Xie, Shuangquan 1 2022 Matched asymptotic expansion approach to pulse dynamics for a three-component reaction-diffusion system. Zbl 1475.35024Nishiura, Yasumasa; Suzuki, Hiromasa 1 2021 Pinned solutions in a heterogeneous three-component FitzHugh-Nagumo model. Zbl 1415.35018van Heijster, Peter; Chen, Chao-Nien; Nishiura, Yasumasa; Teramoto, Takashi 6 2019 Reduction approach to the dynamics of interacting front solutions in a bistable reaction-diffusion system and its application to heterogeneous media. Zbl 1453.35118Nishi, Kei; Nishiura, Yasumasa; Teramoto, Takashi 1 2019 Localized patterns in a three-component Fitzhugh-Nagumo model revisited via an action functional. Zbl 1402.35026van Heijster, Peter; Chen, Chao-Nien; Nishiura, Yasumasa; Teramoto, Takashi 12 2018 A skeleton of collision dynamics: hierarchical network structure among even-symmetric steady pulses in binary fluid convection. Zbl 1375.76179Watanabe, Takeshi; Iima, Makoto; Nishiura, Yasumasa 5 2016 Annihilation of two interfaces in a hybrid system. Zbl 1317.37098Ei, Shin-Ichiro; Nishi, Kei; Nishiura, Yasumasa; Teramoto, Takashi 1 2015 Robust pulse generators in an excitable medium with jump-type heterogeneity. Zbl 1331.35040Yadome, Masaaki; Nishiura, Yasumasa; Teramoto, Takashi 5 2014 Dynamics of two interfaces in a hybrid system with jump-type heterogeneity. Zbl 1384.37102Nishi, Kei; Nishiura, Yasumasa; Teramoto, Takashi 5 2013 Heterogeneity-induced spot dynamics for a three-component reaction-diffusion system. Zbl 1264.35038Nishiura, Yasumasa; Teramoto, Takashi; Yuan, Xiaohui 12 2012 Spontaneous formation of travelling localized structures and their asymptotic behaviour in binary fluid convection. Zbl 1275.76095Watanabe, Takeshi; Iima, Makoto; Nishiura, Yasumasa 9 2012 A mathematical mechanism for instabilities in stripe formation on growing domains. Zbl 1228.92010Ueda, Kei-Ichi; Nishiura, Yasumasa 6 2012 Refraction, reflection and splitting. Zbl 1381.35072Nishiura, Yasumasa; Teramoto, Takashi 1 2012 Pinned fronts in heterogeneous media of jump type. Zbl 1208.35010van Heijster, Peter; Doelman, Arjen; Kaper, Tasso J.; Nishiura, Yasumasa; Ueda, Kei-Ichi 17 2011 Morphological characterization of the diblock copolymer problem with topological computation. Zbl 1204.82044Teramoto, Takashi; Nishiura, Yasumasa 10 2010 Unstable periodic solution controlling collision of localized convection cells in binary fluid mixture. Zbl 1167.37043Iima, Makoto; Nishiura, Yasumasa 4 2009 Dynamics of traveling pulses in heterogeneous media. Zbl 1163.37356Nishiura, Yasumasa; Teramoto, Takashi; Yuan, Xiaohui; Ueda, Kei-Ichi 23 2007 Dynamics of traveling pulses in heterogeneous media of jump type. Zbl 1145.35021Nishiura, Yasumasa; Oyama, Yoshihito; Ueda, Kei-ichi 9 2007 Indecisive behavior of amoeba crossing an environmental barrier. Zbl 1132.92002Takagi, S.; Nishiura, Y.; Nakagaki, T.; Ueda, T.; Ueda, K.-I. 1 2007 Scattering of traveling spots in dissipative systems. Zbl 1144.37393Nishiura, Yasumasa; Teramoto, Takashi; Ueda, Kei-Ichi 30 2005 Chaotic pulses for discrete reaction diffusion systems. Zbl 1170.35459Nishiura, Yasumasa; Ueyama, Daishin; Yanagita, Tatsuo 4 2005 Collisions of localized traveling-wave convection cells in binary fluid. Zbl 1090.35144Iima, Makoto; Nishiura, Yasumasa 3 2005 Destabilization of fronts in a class of bistable systems. Zbl 1063.35023Doelman, Arjen; Iron, David; Nishiura, Yasumasa 7 2004 Higher dimensional SLEP equation and applications to morphological stability in polymer problems. Zbl 1074.35011Nishiura, Yasumasa; Suzuki, Hiromasa 5 2004 Some analytical results on the Gray-Scott model. Zbl 1071.35062Dkhil, F.; Logak, E.; Nishiura, Y. 2 2004 Singular limit of a second order nonlocal parabolic equation of conservative type arising in the micro-phase separation of diblock copolymers. Zbl 1041.35008Henry, M.; Hilhorst, D.; Nishiura, Y. 6 2003 Far-from-equilibrium dynamics. Transl. from the Japanese by Kunimochi Sakamoto. Zbl 1013.37001Nishiura, Yasumasa 22 2002 Smooth unique solutions for a modified Mullins-Sekerka model arising in diblock copolymer melts. Zbl 1017.35088Escher, Joachim; Nishiura, Yasumasa 4 2002 Spatio-temporal chaos for the Gray-Scott model. Zbl 0981.35022Nishiura, Yasumasa; Ueyama, Daishin 46 2001 \(2^n\)-splitting or edge-splitting? A manner of splitting in dissipative systems. Zbl 0983.35061Ei, Shin-ichiro; Nishiura, Yasumasa; Ueda, Kei-ichi 13 2001 Global bifurcational approach to the onset of spatio-temporal chaos in reaction diffusion systems. Zbl 1017.35018Nishiura, Yasumasa 1 2001 Self-replication, self-destruction, and spatio-temporal chaos in the Gray-Scott model. Zbl 1003.92520Nishiura, Yasumasa; Ueyama, Daishin 1 2000 A skeleton structure of self-replicating dynamics. Zbl 0936.35090Nishiura, Yasumasa; Ueyama, Daishin 53 1999 Analytical solutions describing the phase separation driven by a free energy functional containing a long-range interaction term. Zbl 0970.35151Ohnishi, Isamu; Nishiura, Yasumasa; Imai, Masaki; Matsushita, Yushu 18 1999 Nonexistence of higher dimensional stable turing patterns in the singular limit. Zbl 0921.35014Nishiura, Yasumasa; Suzuki, Hiromasa 5 1998 Spectral comparison between the second and the fourth order equations of conservative type with non-local terms. Zbl 0905.35009Ohnishi, Isamu; Nishiura, Yasumasa 3 1998 A hidden bifurcational structure for self-replicating dynamics. Zbl 0907.35013Nishiura, Yasumasa; Ueyama, Daishin 1 1998 Connecting orbit structure of monotone solutions in the shadow system. Zbl 0902.35058Kokubu, Hiroshi; Mischaikow, Konstantin; Nishiura, Yasumasa; Oka, Hireo; Takaishi, Takeshi 3 1997 Asymptotic configuration of stationary interfacial patterns for reaction diffusion systems. Zbl 0885.35006Nishiura, Yasumasa; Suzuki, Hiromasa 1 1997 Stability of traveling waves and a relation between the Evans function and the SLEP equation. Zbl 0847.35014Ikeda, Hideo; Nishiura, Yasumasa; Suzuki, Hiromasa 10 1996 Stability and characteristic wavelength of planar interfaces in the large diffusion limit of the inhibitor. Zbl 0848.35065Taniguchi, Masaharu; Nishiura, Yasumasa 5 1996 Some mathematical aspects of the micro-phase separation in diblock copolymers. Zbl 1194.82069Nishiura, Yasumasa; Ohnishi, Isamu 51 1995 Pattern formation in coupled reaction-diffusion systems. Zbl 0849.35053Takaishi, Takeshi; Mimura, Masayasu; Nishiura, Yasumasa 6 1995 Coexistence of infinitely many stable solutions to reaction diffusion systems in the singular limit. Zbl 0806.35079Nishiura, Yasumasa 30 1994 Pattern selection for two breathers. Zbl 0791.35063Ikeda, Tsutomu; Nishiura, Yasumasa 10 1994 Instability of planar interfaces in reaction-diffusion systems. Zbl 0806.35083Taniguchi, Masaharu; Nishiura, Yasumasa 8 1994 Mesoscopic morphology and scaling law of stationary interfacial patterns for reaction diffusion systems. Zbl 0812.35009Nishiura, Yasumasa 1 1994 A free boundary problem arising in some reacting-diffusing system. Zbl 0752.35093Hilhorst, D.; Nishiura, Y.; Mimura, M. 11 1991 The existence of travelling waves for phase field equations and convergence to sharp interface models in the singular limit. Zbl 0743.35028Caginalp, G.; Nishiura, Y. 8 1991 Corrections to: “Singular limit approach to stability and bifurcation for bistable reaction diffusion systems”. Zbl 0826.35008Nishiura, Yasumasa 4 1991 Singular limit approach to stability and bifurcation for bistable reaction diffusion systems. Zbl 0804.35059Nishiura, Yasumasa 3 1991 Singular limit analysis of stability of traveling wave solutions in bistable reaction-diffusion systems. Zbl 0713.35009Nishiura, Y.; Mimura, M.; Ikeda, H.; Fujii, H. 36 1990 Heteroclinic and homoclinic bifurcations in bistable reaction diffusion systems. Zbl 0718.35010Kokubu, Hiroshi; Nishiura, Yasumasa; Oka, Hiroe 14 1990 Instability of singularly perturbed Neumann layer solutions in reaction- diffusion systems. Zbl 0735.35009Nishiura, Yasumasa; Tsujikawa, Tohru 7 1990 Layer oscillations in reaction-diffusion systems. Zbl 0691.35009Nishiura, Yasumasa; Mimura, Masayasu 42 1989 Global bifurcation phenomena to travelling wave solutions for some bistable reaction-diffusion systems. Zbl 0687.35008Ikeda, H.; Mimura, M.; Nishiura, Y. 26 1989 Oscillations in segregation of competing populations. Zbl 0664.92015Mimura, M.; Kan-on, Y.; Nishiura, Y. 4 1988 Stability of singularly perturbed solutions to systems of reaction- diffusion equations. Zbl 0638.35010Nishiura, Yasumasa; Fujii, Hiroshi 73 1987 Slep method to the stability of singularly perturbed solutions with multiple internal transition layers in reaction-diffusion systems. Zbl 0642.35009Nishiura, Yasumasa; Fujii, Hiroshi 7 1987 On the structure of multiple existence of stable stationary solutions in systems of reaction-diffusion equations. Zbl 0684.35054Fujii, Hiroshi; Nishiura, Yasumasa; Hosono, Yuzo 4 1986 Stability theorem for singularly perturbed solutions to systems of reaction-diffusion equations. Zbl 0626.35009Nishiura, Yasumasa; Fujii, Hiroshi 1 1985 Coexistence problem for two competing species models with density- dependent diffusion. Zbl 0562.92011Mimura, Masayasu; Nishiura, Yasumasa 44 1984 Global structure of bifurcating solutions of some reaction-diffusion systems. Zbl 0501.35010Nishiura, Y. 86 1982 Global structure of bifurcating solutions of some reaction-diffusion systems and their stability problem. Zbl 0505.76103Nishiura, Yasumasa 6 1982 Some diffusive prey and predator systems and their bifurcation problems. Zbl 0437.92027Mimura, Masayasu; Nishiura, Yasumasa; Yamaguti, Masaya 16 1979 Spatial patterns for an interaction-diffusion equation in morphogenesis. Zbl 0402.92005Mimura, Masayasu; Nishiura, Yasumasa 5 1979 Global branching theorem for spatial patterns of reaction-diffusion system. Zbl 0464.35007Nishiura, Yasumasa 1 1979 Spatial patterns for interaction-diffusion equations in biology. Zbl 0427.92014Mimura, Masayasu; Nishiura, Yasumasa 2 1978 all cited Publications top 5 cited Publications all top 5 Cited by 609 Authors 44 Wei, Juncheng 32 Nishiura, Yasumasa 21 Ward, Michael J. 16 Winter, Matthias 14 Doelman, Arjen 14 Kolokolnikov, Theodore 14 Ren, Xiaofeng 13 Chen, Chaonien 13 Kučera, Milan 13 van Heijster, Peter 12 Ei, Shin-Ichiro 12 Mimura, Masayasu 10 Teramoto, Takashi 9 Kuto, Kousuke 8 Knobloch, Edgar 8 Wu, Yaping 7 Ikeda, Hideo 7 Ni, Wei-Ming 7 Shi, Junping 7 Wang, Mingxin 6 Choi, Yung-Sze 6 Miyamoto, Yasuhito 6 Takagi, Izumi 6 Wanner, Thomas 5 Choksi, Rustum 5 Glasner, Karl B. 5 Ham, YoonMee 5 Kaper, Tasso J. 5 Ninomiya, Hirokazu 5 Oshita, Yoshihito 5 Sakamoto, Kunimochi 5 Sandstede, Björn 5 Tzou, Justin C. 5 Wang, Weiming 5 Xie, Shuangquan 4 Beaume, Cédric 4 Cai, Yongli 4 Eisner, Jan 4 Gardner, Robert A. 4 Guo, Shangjiang 4 Iima, Makoto 4 Kuwamura, Masataka 4 Lin, Xiaobiao 4 Marciniak-Czochra, Anna K. 4 Mischaikow, Konstantin 4 Ohnishi, Isamu 4 Peng, Rui 4 Rademacher, Jens Diederich Michael 4 Scheel, Arnd 4 Tsujikawa, Tohru 4 Ueda, Kei-ichi 4 Väth, Martin 4 Wang, Qi 4 Watanabe, Takeshi 4 Xu, Qian 4 Yanagida, Eiji 4 Yang, Jun 3 Breña-Medina, Víctor F. 3 Caginalp, Gunduz 3 Carter, Paul M. 3 Chen, Xinfu 3 Chen, Yanyu 3 Chirilus-Bruckner, Martina 3 Drábek, Pavel 3 Grasselli, Maurizio 3 Hale, Jack Kenneth 3 Hilhorst, Danielle 3 Huang, Chih-Chiang 3 Izuhara, Hirofumi 3 Jones, Christopher K. R. T. 3 Kajiwara, Takashi 3 Kowalczyk, Michał 3 Li, Qing 3 Li, Yuexian 3 Lou, Yuan 3 Morita, Yoshihisa 3 Nishi, Kei 3 Ogawa, Toshiyuki 3 Suzuki, Hiromasa 3 Wu, Changhong 3 Wu, Jianhua 3 Yamaguchi, Tomohiko 3 Yi, Fengqi 2 Acerbi, Emilio 2 Aihara, Kazuyuki 2 Avitabile, Daniele 2 Bac, Alexandra 2 Baltaev, Jamol I. 2 Bayliss, Alvin 2 Castelli, Roberto 2 Champneys, Alan R. 2 Chan, Hardy 2 Chen, Chiun-Chuan 2 Chow, Shui-Nee 2 de Rijk, Björn 2 Deng, Bo 2 Derks, Gianne 2 Dockery, Jack D. 2 Duan, Zhiwen 2 Eilbeck, John Chris ...and 509 more Authors all top 5 Cited in 115 Serials 53 Journal of Differential Equations 49 Physica D 19 Japan Journal of Industrial and Applied Mathematics 18 Journal of Dynamics and Differential Equations 16 Journal of Mathematical Biology 15 Chaos 15 SIAM Journal on Applied Dynamical Systems 13 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 13 Nonlinear Analysis. Real World Applications 12 Discrete and Continuous Dynamical Systems 10 Journal of Mathematical Analysis and Applications 10 Discrete and Continuous Dynamical Systems. Series B 10 Nonlinear Analysis. Theory, Methods & Applications 9 Transactions of the American Mathematical Society 9 Journal of Nonlinear Science 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 8 SIAM Journal on Mathematical Analysis 7 Nonlinearity 7 Bulletin of Mathematical Biology 7 European Journal of Applied Mathematics 7 Calculus of Variations and Partial Differential Equations 6 Computers & Mathematics with Applications 6 Journal of Fluid Mechanics 6 Rocky Mountain Journal of Mathematics 5 Archive for Rational Mechanics and Analysis 5 Mathematical Methods in the Applied Sciences 5 Studies in Applied Mathematics 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 SIAM Journal on Applied Mathematics 4 Tôhoku Mathematical Journal. Second Series 4 Applications of Mathematics 4 Discrete and Continuous Dynamical Systems. Series S 3 Applied Mathematics and Computation 3 Czechoslovak Mathematical Journal 3 Journal of Computational and Applied Mathematics 3 Proceedings of the Japan Academy. Series A 3 Acta Applicandae Mathematicae 3 Applied Mathematics Letters 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Elliptic and Parabolic Equations 2 Journal of Computational Physics 2 Reviews in Mathematical Physics 2 Chaos, Solitons and Fractals 2 Journal of Functional Analysis 2 Journal für die Reine und Angewandte Mathematik 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Quarterly of Applied Mathematics 2 Acta Mathematicae Applicatae Sinica. English Series 2 Japan Journal of Applied Mathematics 2 Neural Computation 2 Communications in Partial Differential Equations 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Review 2 Mathematical Problems in Engineering 2 Communications in Contemporary Mathematics 2 Communications on Pure and Applied Analysis 2 Advances in Difference Equations 2 Frontiers of Mathematics in China 2 Science China. Mathematics 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Applicable Analysis 1 Biological Cybernetics 1 Communications in Mathematical Physics 1 International Journal of General Systems 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Mathematical Biosciences 1 Wave Motion 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Duke Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of the Mathematical Society of Japan 1 Kybernetika 1 Mathematische Annalen 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Numerische Mathematik 1 Theoretical Population Biology 1 Tokyo Journal of Mathematics 1 Topology and its Applications 1 Chinese Annals of Mathematics. Series B 1 Journal of the American Mathematical Society 1 Asymptotic Analysis 1 Journal of Scientific Computing 1 Science in China. Series A 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Applied Mathematical Modelling 1 Continuum Mechanics and Thermodynamics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Physics of Fluids 1 Journal of Mathematical Sciences (New York) 1 Abstract and Applied Analysis 1 Acta Mathematica Sinica. English Series 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Dynamical Systems 1 Journal of Applied Mathematics 1 Advanced Nonlinear Studies ...and 15 more Serials all top 5 Cited in 28 Fields 425 Partial differential equations (35-XX) 164 Biology and other natural sciences (92-XX) 66 Dynamical systems and ergodic theory (37-XX) 53 Ordinary differential equations (34-XX) 40 Statistical mechanics, structure of matter (82-XX) 28 Numerical analysis (65-XX) 24 Fluid mechanics (76-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 19 Classical thermodynamics, heat transfer (80-XX) 15 Mechanics of deformable solids (74-XX) 14 Operator theory (47-XX) 8 Systems theory; control (93-XX) 6 Probability theory and stochastic processes (60-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Computer science (68-XX) 4 Integral equations (45-XX) 4 Mechanics of particles and systems (70-XX) 3 Algebraic topology (55-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functional analysis (46-XX) 2 Differential geometry (53-XX) 2 Optics, electromagnetic theory (78-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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