## Nagata, Wayne

Compute Distance To:
 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
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### 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
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### 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
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### 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)

### 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 1323.92177
Merchant, Sandra M.; Nagata, Wayne
2011
A numerically based existence theorem for the Navier-Stokes equations. Zbl 0934.35115
Heywood, John G.; Nagata, Wayne; Xie, Wenzheng
1999
Selection and stability of wave trains behind predator invasions in a model with non-local prey competition. Zbl 1330.35475
Merchant, Sandra M.; Nagata, Wayne
2015
Double Hopf bifurcations in the differentially heated rotating annulus. Zbl 1027.37051
Lewis, Gregory M.; Nagata, Wayne
2003
Wave train selection behind invasion fronts in reaction-diffusion predator-prey models. Zbl 1204.37087
Merchant, Sandra M.; Nagata, Wayne
2010
Synchronized oscillatory dynamics for a 1-D model of membrane kinetics coupled by linear bulk diffusion. Zbl 1331.35038
Gou, J.; Li, Y. X.; Nagata, W.; Ward, M. J.
2015
Reaction-diffusion models of growing plant tips: bifurcations on hemispheres. Zbl 1334.92042
Nagata, Wayne; Harrison, Lionel G.; Wehner, Stephan
2003
Pattern formation and oscillatory dynamics in a two-dimensional coupled bulk-surface reaction-diffusion system. Zbl 1428.37071
Paquin-Lefebvre, Frédéric; Nagata, Wayne; Ward, Michael J.
2019
Bifurcation in doubly-diffusive systems. I. Equilibrium solutions. Zbl 0607.76086
Nagata, Wayne; Thomas, James W.
1986
Linear stability analysis for the differentially heated rotating annulus. Zbl 1206.76021
Lewis, Gregory M.; Nagata, Wayne
2004
Weakly nonlinear theory for oscillatory dynamics in a one-dimensional PDE-ODE model of membrane dynamics coupled by a bulk diffusion field. Zbl 1446.37071
Paquin-Lefebvre, Frédéric; Nagata, Wayne; Ward, Michael J.
2020
Bifurcations in gyroscopic systems with an application to rotating shafts. Zbl 0913.70008
Nagata, Wayne; Sri Namachchivaya, N.
1998
Reaction-diffusion patterns in plant tip morphogenesis: bifurcations on spherical caps. Zbl 1284.92017
Nagata, Wayne; Zangeneh, Hamid R. Z.; Holloway, David M.
2013
Interaction of in-phase and anti-phase synchronies in a coupled compartment-bulk diffusion model at a double Hopf bifurcation. Zbl 1404.37055
Gou, Jia; Nagata, Wayne; Li, Yue-Xian
2016
Unfoldings of degenerate Hopf bifurcations with O(2) symmetry. Zbl 0656.34021
Nagata, Wayne
1986
Bifurcation in doubly-diffusive systems. II. Time periodic solutions. Zbl 0623.76096
Nagata, Wayne; Thomas, James W.
1986
Bifurcations in doubly-diffusive systems. III: Interaction of equilibrium and time periodic solutions. Zbl 0638.76100
Nagata, Wayne; Thomas, James W.
1986
Dynamics near a symmetric Hopf bifurcation. Zbl 0659.34050
Nagata, Wayne
1988
Convection in a layer with sidewalls: Bifurcation with reflection symmetries. Zbl 0727.76104
Nagata, Wayne
1990
Double Hopf bifurcations in the quasigeostrophic potential vorticity equations. Zbl 1092.37055
Lewis, Gregory M.; Nagata, Wayne
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
2006
Non-hyperbolic invariant tori in a double Hopf bifurcation with reflection symmetry. Zbl 0773.58018
Nagata, Wayne
1993
A perturbed Hopf bifurcation with reflection symmetry. Zbl 0724.34044
Nagata, Wayne
1991
Symmetric Hopf bifurcations and magnetoconvection. Zbl 0604.58038
Nagata, Wayne
1986
Weakly nonlinear theory for oscillatory dynamics in a one-dimensional PDE-ODE model of membrane dynamics coupled by a bulk diffusion field. Zbl 1446.37071
Paquin-Lefebvre, Frédéric; Nagata, Wayne; Ward, Michael J.
2020
Pattern formation and oscillatory dynamics in a two-dimensional coupled bulk-surface reaction-diffusion system. Zbl 1428.37071
Paquin-Lefebvre, Frédéric; Nagata, Wayne; Ward, Michael J.
2019
Interaction of in-phase and anti-phase synchronies in a coupled compartment-bulk diffusion model at a double Hopf bifurcation. Zbl 1404.37055
Gou, Jia; Nagata, Wayne; Li, Yue-Xian
2016
Selection and stability of wave trains behind predator invasions in a model with non-local prey competition. Zbl 1330.35475
Merchant, Sandra M.; Nagata, Wayne
2015
Synchronized oscillatory dynamics for a 1-D model of membrane kinetics coupled by linear bulk diffusion. Zbl 1331.35038
Gou, J.; Li, Y. X.; Nagata, W.; Ward, M. J.
2015
Reaction-diffusion patterns in plant tip morphogenesis: bifurcations on spherical caps. Zbl 1284.92017
Nagata, Wayne; Zangeneh, Hamid R. Z.; Holloway, David M.
2013
Instabilities and spatiotemporal patterns behind predator invasions with nonlocal prey competition. Zbl 1323.92177
Merchant, Sandra M.; Nagata, Wayne
2011
Wave train selection behind invasion fronts in reaction-diffusion predator-prey models. Zbl 1204.37087
Merchant, Sandra M.; Nagata, Wayne
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
2006
Double Hopf bifurcations in the quasigeostrophic potential vorticity equations. Zbl 1092.37055
Lewis, Gregory M.; Nagata, Wayne
2005
Linear stability analysis for the differentially heated rotating annulus. Zbl 1206.76021
Lewis, Gregory M.; Nagata, Wayne
2004
Double Hopf bifurcations in the differentially heated rotating annulus. Zbl 1027.37051
Lewis, Gregory M.; Nagata, Wayne
2003
Reaction-diffusion models of growing plant tips: bifurcations on hemispheres. Zbl 1334.92042
Nagata, Wayne; Harrison, Lionel G.; Wehner, Stephan
2003
A numerically based existence theorem for the Navier-Stokes equations. Zbl 0934.35115
Heywood, John G.; Nagata, Wayne; Xie, Wenzheng
1999
Bifurcations in gyroscopic systems with an application to rotating shafts. Zbl 0913.70008
Nagata, Wayne; Sri Namachchivaya, N.
1998
Non-hyperbolic invariant tori in a double Hopf bifurcation with reflection symmetry. Zbl 0773.58018
Nagata, Wayne
1993
A perturbed Hopf bifurcation with reflection symmetry. Zbl 0724.34044
Nagata, Wayne
1991
Convection in a layer with sidewalls: Bifurcation with reflection symmetries. Zbl 0727.76104
Nagata, Wayne
1990
Dynamics near a symmetric Hopf bifurcation. Zbl 0659.34050
Nagata, Wayne
1988
Bifurcation in doubly-diffusive systems. I. Equilibrium solutions. Zbl 0607.76086
Nagata, Wayne; Thomas, James W.
1986
Unfoldings of degenerate Hopf bifurcations with O(2) symmetry. Zbl 0656.34021
Nagata, Wayne
1986
Bifurcation in doubly-diffusive systems. II. Time periodic solutions. Zbl 0623.76096
Nagata, Wayne; Thomas, James W.
1986
Bifurcations in doubly-diffusive systems. III: Interaction of equilibrium and time periodic solutions. Zbl 0638.76100
Nagata, Wayne; Thomas, James W.
1986
Symmetric Hopf bifurcations and magnetoconvection. Zbl 0604.58038
Nagata, Wayne
1986
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### 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
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### 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
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### 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)