Edit Profile (opens in new tab) Nagata, Wayne Compute Distance To: Compute Author ID: nagata.wayne Published as: Nagata, Wayne; Nagata, W. External Links: MGP Documents Indexed: 31 Publications since 1986 2 Contributions as Editor Co-Authors: 19 Co-Authors with 24 Joint Publications 234 Co-Co-Authors all top 5 Co-Authors 9 single-authored 3 Lewis, Gregory M. 3 Merchant, Sandra M. 3 Namachchivaya, N. Sri 3 Thomas, James William 3 Ward, Michael J. 2 Charette, Laurent 2 Gou, Jia 2 Heywood, John G. 2 Li, Yuexian 2 Paquin-Lefebvre, Frédéric 2 Zangeneh, Hamid R. Z. 1 Fattahpour, Haniyeh 1 Harrison, Lionel G. 1 Holloway, David M. 1 Langford, William F. 1 Macdonald, Colin B. 1 McDonald, Robert J. S. 1 Wehner, Stephan 1 Xie, Wenzheng all top 5 Serials 3 IMA Journal of Applied Mathematics 3 SIAM Journal on Mathematical Analysis 2 Bulletin of Mathematical Biology 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Applied Dynamical Systems 2 Fields Institute Communications 1 Geophysical and Astrophysical Fluid Dynamics 1 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Differential Equations 1 Theoretical Population Biology 1 Bulletin of the Iranian Mathematical Society 1 Physica D 1 Dynamics and Stability of Systems 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Mathematical Fluid Mechanics 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms all top 5 Fields 19 Dynamical systems and ergodic theory (37-XX) 13 Partial differential equations (35-XX) 11 Fluid mechanics (76-XX) 9 Ordinary differential equations (34-XX) 7 Biology and other natural sciences (92-XX) 3 Mechanics of particles and systems (70-XX) 2 General and overarching topics; collections (00-XX) 2 Numerical analysis (65-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 24 Publications have been cited 135 times in 110 Documents Cited by ▼ Year ▼ Instabilities and spatiotemporal patterns behind predator invasions with nonlocal prey competition. Zbl 1323.92177Merchant, Sandra M.; Nagata, Wayne 27 2011 A numerically based existence theorem for the Navier-Stokes equations. Zbl 0934.35115Heywood, John G.; Nagata, Wayne; Xie, Wenzheng 15 1999 Selection and stability of wave trains behind predator invasions in a model with non-local prey competition. Zbl 1330.35475Merchant, Sandra M.; Nagata, Wayne 13 2015 Double Hopf bifurcations in the differentially heated rotating annulus. Zbl 1027.37051Lewis, Gregory M.; Nagata, Wayne 12 2003 Wave train selection behind invasion fronts in reaction-diffusion predator-prey models. Zbl 1204.37087Merchant, Sandra M.; Nagata, Wayne 11 2010 Synchronized oscillatory dynamics for a 1-D model of membrane kinetics coupled by linear bulk diffusion. Zbl 1331.35038Gou, J.; Li, Y. X.; Nagata, W.; Ward, M. J. 10 2015 Reaction-diffusion models of growing plant tips: bifurcations on hemispheres. Zbl 1334.92042Nagata, Wayne; Harrison, Lionel G.; Wehner, Stephan 9 2003 Pattern formation and oscillatory dynamics in a two-dimensional coupled bulk-surface reaction-diffusion system. Zbl 1428.37071Paquin-Lefebvre, Frédéric; Nagata, Wayne; Ward, Michael J. 6 2019 Bifurcation in doubly-diffusive systems. I. Equilibrium solutions. Zbl 0607.76086Nagata, Wayne; Thomas, James W. 4 1986 Linear stability analysis for the differentially heated rotating annulus. Zbl 1206.76021Lewis, Gregory M.; Nagata, Wayne 4 2004 Weakly nonlinear theory for oscillatory dynamics in a one-dimensional PDE-ODE model of membrane dynamics coupled by a bulk diffusion field. Zbl 1446.37071Paquin-Lefebvre, Frédéric; Nagata, Wayne; Ward, Michael J. 4 2020 Bifurcations in gyroscopic systems with an application to rotating shafts. Zbl 0913.70008Nagata, Wayne; Sri Namachchivaya, N. 3 1998 Reaction-diffusion patterns in plant tip morphogenesis: bifurcations on spherical caps. Zbl 1284.92017Nagata, Wayne; Zangeneh, Hamid R. Z.; Holloway, David M. 3 2013 Interaction of in-phase and anti-phase synchronies in a coupled compartment-bulk diffusion model at a double Hopf bifurcation. Zbl 1404.37055Gou, Jia; Nagata, Wayne; Li, Yue-Xian 3 2016 Unfoldings of degenerate Hopf bifurcations with O(2) symmetry. Zbl 0656.34021Nagata, Wayne 2 1986 Bifurcation in doubly-diffusive systems. II. Time periodic solutions. Zbl 0623.76096Nagata, Wayne; Thomas, James W. 1 1986 Bifurcations in doubly-diffusive systems. III: Interaction of equilibrium and time periodic solutions. Zbl 0638.76100Nagata, Wayne; Thomas, James W. 1 1986 Dynamics near a symmetric Hopf bifurcation. Zbl 0659.34050Nagata, Wayne 1 1988 Convection in a layer with sidewalls: Bifurcation with reflection symmetries. Zbl 0727.76104Nagata, Wayne 1 1990 Double Hopf bifurcations in the quasigeostrophic potential vorticity equations. Zbl 1092.37055Lewis, Gregory M.; Nagata, Wayne 1 2005 Bifurcation theory and spatio-temporal pattern formation. Proceedings ot the workshop on bifurcation theory and spatio-temporal pattern formation in partial differential equations, Toronto, Canada, December 11–13, 2003. Zbl 1099.34004 1 2006 Non-hyperbolic invariant tori in a double Hopf bifurcation with reflection symmetry. Zbl 0773.58018Nagata, Wayne 1 1993 A perturbed Hopf bifurcation with reflection symmetry. Zbl 0724.34044Nagata, Wayne 1 1991 Symmetric Hopf bifurcations and magnetoconvection. Zbl 0604.58038Nagata, Wayne 1 1986 Weakly nonlinear theory for oscillatory dynamics in a one-dimensional PDE-ODE model of membrane dynamics coupled by a bulk diffusion field. Zbl 1446.37071Paquin-Lefebvre, Frédéric; Nagata, Wayne; Ward, Michael J. 4 2020 Pattern formation and oscillatory dynamics in a two-dimensional coupled bulk-surface reaction-diffusion system. Zbl 1428.37071Paquin-Lefebvre, Frédéric; Nagata, Wayne; Ward, Michael J. 6 2019 Interaction of in-phase and anti-phase synchronies in a coupled compartment-bulk diffusion model at a double Hopf bifurcation. Zbl 1404.37055Gou, Jia; Nagata, Wayne; Li, Yue-Xian 3 2016 Selection and stability of wave trains behind predator invasions in a model with non-local prey competition. Zbl 1330.35475Merchant, Sandra M.; Nagata, Wayne 13 2015 Synchronized oscillatory dynamics for a 1-D model of membrane kinetics coupled by linear bulk diffusion. Zbl 1331.35038Gou, J.; Li, Y. X.; Nagata, W.; Ward, M. J. 10 2015 Reaction-diffusion patterns in plant tip morphogenesis: bifurcations on spherical caps. Zbl 1284.92017Nagata, Wayne; Zangeneh, Hamid R. Z.; Holloway, David M. 3 2013 Instabilities and spatiotemporal patterns behind predator invasions with nonlocal prey competition. Zbl 1323.92177Merchant, Sandra M.; Nagata, Wayne 27 2011 Wave train selection behind invasion fronts in reaction-diffusion predator-prey models. Zbl 1204.37087Merchant, Sandra M.; Nagata, Wayne 11 2010 Bifurcation theory and spatio-temporal pattern formation. Proceedings ot the workshop on bifurcation theory and spatio-temporal pattern formation in partial differential equations, Toronto, Canada, December 11–13, 2003. Zbl 1099.34004 1 2006 Double Hopf bifurcations in the quasigeostrophic potential vorticity equations. Zbl 1092.37055Lewis, Gregory M.; Nagata, Wayne 1 2005 Linear stability analysis for the differentially heated rotating annulus. Zbl 1206.76021Lewis, Gregory M.; Nagata, Wayne 4 2004 Double Hopf bifurcations in the differentially heated rotating annulus. Zbl 1027.37051Lewis, Gregory M.; Nagata, Wayne 12 2003 Reaction-diffusion models of growing plant tips: bifurcations on hemispheres. Zbl 1334.92042Nagata, Wayne; Harrison, Lionel G.; Wehner, Stephan 9 2003 A numerically based existence theorem for the Navier-Stokes equations. Zbl 0934.35115Heywood, John G.; Nagata, Wayne; Xie, Wenzheng 15 1999 Bifurcations in gyroscopic systems with an application to rotating shafts. Zbl 0913.70008Nagata, Wayne; Sri Namachchivaya, N. 3 1998 Non-hyperbolic invariant tori in a double Hopf bifurcation with reflection symmetry. Zbl 0773.58018Nagata, Wayne 1 1993 A perturbed Hopf bifurcation with reflection symmetry. Zbl 0724.34044Nagata, Wayne 1 1991 Convection in a layer with sidewalls: Bifurcation with reflection symmetries. Zbl 0727.76104Nagata, Wayne 1 1990 Dynamics near a symmetric Hopf bifurcation. Zbl 0659.34050Nagata, Wayne 1 1988 Bifurcation in doubly-diffusive systems. I. Equilibrium solutions. Zbl 0607.76086Nagata, Wayne; Thomas, James W. 4 1986 Unfoldings of degenerate Hopf bifurcations with O(2) symmetry. Zbl 0656.34021Nagata, Wayne 2 1986 Bifurcation in doubly-diffusive systems. II. Time periodic solutions. Zbl 0623.76096Nagata, Wayne; Thomas, James W. 1 1986 Bifurcations in doubly-diffusive systems. III: Interaction of equilibrium and time periodic solutions. Zbl 0638.76100Nagata, Wayne; Thomas, James W. 1 1986 Symmetric Hopf bifurcations and magnetoconvection. Zbl 0604.58038Nagata, Wayne 1 1986 all cited Publications top 5 cited Publications all top 5 Cited by 168 Authors 11 Sherratt, Jonathan A. 10 Ward, Michael J. 6 Nagata, Wayne 4 Banerjee, Malay 4 Lessard, Jean-Philippe 4 Shi, Junping 3 Bayliss, Alvin 3 Bennett, Jamie J. R. 3 Bressloff, Paul C. 3 Gameiro, Marcio F. 3 Golubitsky, Martin A. 3 Gou, Jia 3 Knobloch, Edgar 3 Lewis, Gregory M. 3 Paquin-Lefebvre, Frédéric 3 Song, Yongli 3 Volpert, Vitaly A. 3 Volpert, Vladimir A. 3 Wei, Junjie 2 Chen, Shanshan 2 Cyranka, Jacek 2 Hirschberg, P. 2 Hsia, Chun-Hsiung 2 Kawanago, Tadashi 2 Kim, Sun-Chul 2 Kirillov, Oleg N. 2 Ma, Tian 2 Madzvamuse, Anotida 2 Manna, Kalyan 2 Marsden, Jerrold Eldon 2 Nakao, Mitsuhiro T. 2 Net, Marta 2 Okamoto, Hisashi 2 Plum, Michael 2 Renardy, Yuriko Yamamuro 2 Repin, Sergeĭ Igorevich 2 Shaw, Leah B. 2 Shivakumara, I. S. 2 Wang, Shouhong 2 Wu, Shuhao 2 Xu, Bin 2 Zaytseva, Sofya 2 Zuo, Wenjie 1 Autry, Eric A. 1 Ballestra, Luca Vincenzo 1 Besse, Christophe 1 Bloomfield, J. M. 1 Bona, Jerry Lloyd 1 Breden, Maxime 1 Buono, Pietro-Luciano 1 Callahan, T. K. 1 Cao, Xun 1 Castelli, Roberto 1 Charette, Laurent 1 Chatterjee, Anindya 1 Chen, Yuming 1 Chew, John W. 1 Chiang, Wei-Yin 1 Chung, A. H. 1 Cordero, Gustavo 1 Crawford, John David 1 Dagbovie, Ayawoa S. 1 Dalchau, Neil 1 de la Llave, Rafael 1 Dhananjaya, M. 1 Dhillon, Daljit Singh J. 1 Dormy, Emmanuel 1 Doungmo Goufo, Emile Franc 1 Du, Yanfei 1 Dzul, Alejandro 1 Eftimie, Raluca 1 Eigentler, Lukas 1 Faye, Grégory 1 Figueras, Jordi-Lluís 1 Frittelli, Massimo 1 Früh, Wolf-Gerrit 1 Gaffney, Eamonn A. 1 Garcia, Ferran 1 Geng, Dongxu 1 Gerisch, Alf 1 Giunta, Valeria 1 Glitzky, Annegret 1 Govinder, Keshlan Sathasiva 1 Grant, Paul K. 1 Guerrini, Luca 1 Guo, Yuxiao 1 Halatek, Jacob 1 He, Le 1 Hennessy, Matthew G. 1 Hilker, Frank M. 1 Holloway, David M. 1 Hoveijn, Igor 1 Iyaniwura, Sarafa A. 1 Jamieson-Lane, Alastair 1 Jiang, Weihua 1 Kirwan, Matthew L. 1 Klika, Václav 1 Kolokolnikov, Theodore 1 Kong, Jude Dzevela 1 Krause, Andrew L. ...and 68 more Authors all top 5 Cited in 52 Serials 8 Physica D 8 SIAM Journal on Applied Dynamical Systems 6 Bulletin of Mathematical Biology 6 SIAM Journal on Applied Mathematics 5 Journal of Differential Equations 5 Journal of Nonlinear Science 5 Mathematical Modelling of Natural Phenomena 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Journal of Mathematical Biology 3 Mathematics and Computers in Simulation 3 Japan Journal of Industrial and Applied Mathematics 2 Journal of Fluid Mechanics 2 Journal of Mathematical Analysis and Applications 2 Nonlinearity 2 Numerische Mathematik 2 Journal of Dynamics and Differential Equations 2 Physics of Fluids 2 Discrete and Continuous Dynamical Systems 2 Chaos 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Communications in Nonlinear Science and Numerical Simulation 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Theoretical Biology 1 Acta Mechanica 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Geophysical and Astrophysical Fluid Dynamics 1 Journal of Statistical Physics 1 Mathematical Biosciences 1 Reviews of Modern Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Physics of Fluids, A 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Numerical Functional Analysis and Optimization 1 Theoretical Population Biology 1 Zeitschrift für Analysis und ihre Anwendungen 1 Applied Mathematics Letters 1 Journal of Scientific Computing 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Applied Mathematical Modelling 1 Linear Algebra and its Applications 1 Journal of Mathematical Sciences (New York) 1 Computational and Applied Mathematics 1 Nonlinear Dynamics 1 International Journal of Applied Mathematics and Computer Science 1 Nonlinear Analysis. Real World Applications 1 Portugaliae Mathematica. Nova Série 1 Communications on Pure and Applied Analysis 1 Mathematical Biosciences and Engineering 1 São Paulo Journal of Mathematical Sciences 1 AIMS Mathematics all top 5 Cited in 20 Fields 72 Partial differential equations (35-XX) 49 Biology and other natural sciences (92-XX) 26 Dynamical systems and ergodic theory (37-XX) 22 Fluid mechanics (76-XX) 21 Numerical analysis (65-XX) 20 Ordinary differential equations (34-XX) 6 Classical thermodynamics, heat transfer (80-XX) 4 Mechanics of particles and systems (70-XX) 4 Mechanics of deformable solids (74-XX) 3 Operator theory (47-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Computer science (68-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) Citations by Year