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## Holmes, Philip J.

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 Author ID: holmes.philip-j Published as: Holmes, P.; Holmes, P. J.; Holmes, Philip; Holmes, Philip J. Homepage: https://www.princeton.edu/mae/people/faculty/holmes/ External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND
 Documents Indexed: 209 Publications since 1976, including 9 Books
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#### Co-Authors

 35 single-authored 15 Lumley, John Leask 14 Berkooz, Gal 11 Domokos, Gábor 11 Marsden, Jerrold Eldon 7 Elezgaray, Juan 7 Schmitt, John M. 6 Ghigliazza, R. M. 6 Moehlis, Jeff 5 Guckenheimer, John M. 5 Smith, Troy R. 4 Brown, Eric N. 4 Cohen, Jonathan D. 4 Coller, B. D. 4 Doelman, Arjen 4 Duan, Jinqiao 4 Ghrist, Robert W. 4 Proctor, Joshua L. 4 Stone, Emily F. 4 Wong-Lin, Kongfatt 3 Aubry, Nadine 3 Bogacz, Rafal 3 Full, Robert J. 3 Goodman, Roy H. 3 Hek, Geertje 3 Hockett, Kevin G. 3 Koditschek, Dan 3 Kukillaya, Raghavendra P. 3 Mielke, Alexander 3 Rand, David A. 3 Simen, Patrick 3 Swart, Pieter J. 3 Weinstein, Michael I. 3 Whitley, David L. 3 Wiggins, Stephen 3 Wittenberg, Ralf W. 2 Altendorfer, Richard 2 Aminzare, Zahra 2 Armbruster, Dieter 2 Campbell, Sue Ann 2 Cisternas, Jaime E. 2 Cohen, Avis H. 2 Dankowicz, Harry J. 2 Gao, Juan 2 Kutz, J. Nathan 2 Liu, Yuan Sophie 2 Moon, Francis C. 2 O’Reilly, Oliver Mary 2 Poje, Andrew C. 2 Rand, Richard H. 2 Royce, B. 2 Seipel, Justin E. 2 Shaw, Steven W. 2 Szeri, Andrew J. 2 Titi, Edriss Saleh 2 Veerman, Peter 1 Ball, John M. 1 Ball, Rowena 1 Bélair, Jacques 1 Broderick, Tamara 1 Brunsden, V. 1 Clarkson, B. L. 1 Coleman, Michael J. 1 Cortell, J. 1 Cusumano, Joseph P. 1 Diacu, Florin Nicolae 1 Eckhoff, Philip 1 Faisst, Holger 1 Garcia, Mark Anthony 1 Gilzenrat, Mark S. 1 Greenspan, B. D. 1 Greenspan, Bernie 1 Hammond, Joseph K. 1 Hanßmann, Heinz 1 Harris-Warrick, Ronald M. 1 Hoffman, Kathleen A. 1 Holmes, Catherine A. 1 Ilyashenko, Yulij Sergeevich 1 James, Richard D. 1 Jenkins, Jeffrey 1 Kalies, William D. 1 Kevrekidis, Ioannis George 1 Khibnik, Alexander I. 1 Kiemel, Tim 1 Kistner, A. 1 Lángi, Zsolt 1 Leibovich, Sidney 1 Leonard, Naomi Ehrich 1 Lewis, Donald C. 1 Lin, Yue-Kuhn 1 Mattingly, Jonathan C. 1 McMillan, Thomas 1 McMillen, Tyler 1 Medvedev, Georgi S. 1 Myers, Mark H. 1 Newton, Paul K. 1 Ono, Kinya 1 Pego, Robert L. 1 Razo, R. C. 1 Rowley, Clarence W. 1 Scheurle, Jürgen ...and 23 more Co-Authors
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#### Serials

 24 Physica D 8 Biological Cybernetics 8 Journal of Sound and Vibration 8 Journal of Nonlinear Science 7 International Journal of Non-Linear Mechanics 7 SIAM Journal on Applied Dynamical Systems 6 Neural Computation 5 Archive for Rational Mechanics and Analysis 5 Nonlinearity 5 SIAM Journal on Applied Mathematics 4 Journal of Applied Mechanics 4 Journal of Fluid Mechanics 4 Journal of Mathematical Psychology 4 SIAM Journal on Mathematical Analysis 4 Regular and Chaotic Dynamics 3 Journal of Mathematical Biology 3 Philosophical Transactions of the Royal Society of London. Ser. A 3 Quarterly of Applied Mathematics 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Physics of Fluids 3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Theoretical and Computational Fluid Dynamics 2 Automatica 2 Journal of Differential Equations 2 SIAM Review 2 Nonlinear Dynamics 2 Journal of Theoretical Biology 1 Applied Scientific Research 1 Communications in Mathematical Physics 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Applied Mathematics 1 Journal of Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physics of Fluids 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Indiana University Mathematics Journal 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Studies in Applied Mathematics 1 Ergodic Theory and Dynamical Systems 1 IMA Journal of Mathematics Applied in Medicine and Biology 1 Mathematical and Computer Modelling 1 Dynamics and Stability of Systems 1 Neural Networks 1 European Journal of Applied Mathematics 1 Applied Mathematical Modelling 1 Journal of Dynamic Systems, Measurement and Control 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Journal of Dynamics and Differential Equations 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Moscow Mathematical Journal 1 Stochastics and Dynamics 1 AMRX. Applied Mathematics Research eXpress 1 Applied Mathematical Sciences 1 Lecture Notes in Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications 1 Cambridge Monographs on Mechanics
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#### Fields

 95 Dynamical systems and ergodic theory (37-XX) 62 Ordinary differential equations (34-XX) 41 Mechanics of particles and systems (70-XX) 37 Biology and other natural sciences (92-XX) 36 Fluid mechanics (76-XX) 30 Partial differential equations (35-XX) 27 Mechanics of deformable solids (74-XX) 11 Systems theory; control (93-XX) 8 Probability theory and stochastic processes (60-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 General and overarching topics; collections (00-XX) 5 Manifolds and cell complexes (57-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Numerical analysis (65-XX) 4 Computer science (68-XX) 3 History and biography (01-XX) 3 Differential geometry (53-XX) 3 Optics, electromagnetic theory (78-XX) 2 Approximations and expansions (41-XX) 2 General topology (54-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH

182 Publications have been cited 7,513 times in 6,010 Documents Cited by Year
Nonlinear oscillations, dynamical systems, and bifurcations of vector fields. Zbl 0515.34001
Guckenheimer, John; Holmes, Philip
1983
Turbulence, coherent structures, dynamical systems and symmetry. Zbl 0890.76001
Holmes, Philip; Lumley, John L.; Berkooz, Gal
1996
The dynamics of coherent structures in the wall region of a turbulent layer. Zbl 0643.76066
Aubry, Nadine; Holmes, Philip; Lumley, John L.; Stone, Emily
1988
A periodically forced piecewise linear oscillator. Zbl 0561.70022
Shaw, S. W.; Holmes, P. J.
1983
A nonlinear oscillator with a strange attractor. Zbl 0423.34049
Holmes, P.
1979
Turbulence, coherent structures, dynamical systems and symmetry. 2nd ed. Zbl 1251.76001
Holmes, Philip; Lumley, John L.; Berkooz, Gahl; Rowley, Clarence W.
2012
On the phase reduction and response dynamics of neural oscillator population. Zbl 1054.92006
Brown, Eric; Moehlis, Jeff; Holmes, Philip
2004
Heteroclinic cycles and modulated travelling waves in systems with 0(2) symmetry. Zbl 0634.34027
Armbruster, Dieter; Guckenheimer, John; Holmes, Philip
1988
A partial differential equation with infinitely many periodic orbits: Chaotic oscillations of a forced beam. Zbl 0507.58031
Holmes, Philip; Marsden, Jerrold
1981
Structurally stable heteroclinic cycles. Zbl 0645.58022
Guckenheimer, John; Holmes, Philip
1988
Horseshoes in perturbations of Hamiltonian systems with two degrees of freedom. Zbl 0489.58013
Holmes, Philip J.; Marsden, Jerrold E.
1982
Turbulence, coherent structures, dynamical systems and symmetry. Zbl 0923.76002
Holmes, Philip; Lumley, John L.; Berkooz, Gal
1998
Melnikov’s method and Arnold diffusion for perturbations of integrable Hamiltonian systems. Zbl 0497.70025
Holmes, Philip J.; Marsden, Jerrold E.
1982
A magnetoelastic strange attractor. Zbl 0405.73082
Moon, F. C.; Holmes, P. J.
1979
On the relation between low-dimensional models and the dynamics of coherent structures in the turbulent wall layer. Zbl 0782.76048
Berkooz, Gal; Holmes, Philip; Lumley, J. L.
1993
The dynamics of repeated impacts with a sinusoidally vibrating table. Zbl 0518.73015
Holmes, P. J.
1982
Horseshoes and Arnold diffusion for Hamiltonian systems and Lie groups. Zbl 0488.70006
Holmes, Philip J.; Marsden, Jerrold E.
1983
The nature of the coupling between segmental oscillators of the lamprey spinal generator for locomotion: a mathematical model. Zbl 0476.92003
Cohen, Avis H.; Holmes, Philip J.; Rand, Richard H.
1982
Knots and links in three-dimensional flows. Zbl 0869.58044
Ghrist, Robert W.; Holmes, Philip J.; Sullivan, Michael C.
1997
Cascades of homoclinic orbits to, and chaos near, a Hamiltonian saddle- center. Zbl 0749.58022
Mielke, A.; Holmes, P.; O’Reilly, O.
1992
Random perturbations of heteroclinic attractors. Zbl 0702.58038
Stone, Emily; Holmes, Philip
1990
Kuramoto-Sivashinsky dynamics on the center-unstable manifold. Zbl 0687.34036
Armbruster, Dieter; Guckenheimer, John; Holmes, Philip
1989
Averaging and chaotic motions in forced oscillations. Zbl 0472.70024
Holmes, Philip J.
1980
Bifurcations to divergence and flutter in flow-induced oscillations: a finite dimensional analysis. Zbl 0363.73059
Holmes, P. J.
1977
Strong NLS soliton-defect interactions. Zbl 1061.35132
Goodman, Roy H.; Holmes, Philip J.; Weinstein, Michael I.
2004
The dynamics of legged locomotion: Models, analyses, and challenges. Zbl 1100.34002
Holmes, Philip; Full, Robert J.; Koditschek, Dan; Guckenheimer, John
2006
Global existence theory for a generalized Ginzburg-Landau equation. Zbl 0783.35070
Duan, Jinqiao; Holmes, Philip; Titi, Edriss S.
1992
Phase portraits and bifurcations of the non-linear oscillator: $$x''+(\alpha+\gamma x^ 2)x'+\beta x+\delta x^ 3=0$$. Zbl 0453.70015
Holmes, P.; Rand, D.
1980
Bifurcation of periodic motions in two weakly coupled van der Pol oscillators. Zbl 0447.70028
Rand, R. H.; Holmes, P. J.
1980
On the dynamics of fine structure. Zbl 0791.35030
Ball, J. M.; Holmes, P. J.; James, R. D.; Pego, R. L.; Swart, P. J.
1991
Regularity, approximation and asymptotic dynamics for a generalized Ginzburg-Landau equation. Zbl 0808.35133
Duan, Jinqiao; Titi, Edriss S.; Holmes, Philip
1993
Exponentially small splittings of separatrices with applications of KAM theory and degenerate bifurcations. Zbl 0685.70017
Holmes, Philip; Marsden, Jerrold; Scheurle, Jürgen
1988
Energy minimization and the formation of microstructure in dynamic anti- plane shear. Zbl 0786.73066
Swart, Pieter J.; Holmes, Philip J.
1992
Bifurcation to divergence and flutter in flow-induced oscillations: An infinite dimensional analysis. Zbl 0385.93028
Holmes, Philip; Marsden, Jerrold
1978
On the Cauchy problem of a generalized Ginzburg-Landau equation. Zbl 0833.35067
Duan, Jinqiao; Holmes, Philip
1994
Bifurcations of one- and two-dimensional maps. Zbl 0556.58023
Holmes, P.; Whitley, D.
1984
Nonlinear propagation of light in one-dimensional periodic structures. Zbl 1005.78011
Goodman, R. H.; Weinstein, M. I.; Holmes, P. J.
2001
Homoclinic orbits, subharmonics and global bifurcations in forced oscillations. Zbl 0532.58019
Greenspan, B. D.; Holmes, P. J.
1983
Knotted periodic orbits in suspensions of Smale’s horseshoe: torus knots and bifurcation sequences. Zbl 0593.58027
Holmes, Philip; Williams, R. F.
1985
Second order averaging and bifurcations to subharmonics in Duffing’s equation. Zbl 0478.73028
Holmes, C.; Holmes, P.
1981
A periodically forced impact oscillator with large dissipation. Zbl 0539.70032
Shaw, S. W.; Holmes, P. J.
1983
Interaction of sine-Gordon kinks with defects: Phase space transport in a two-mode model. Zbl 0985.35074
Goodman, Roy H.; Holmes, Philip J.; Weinstein, Michael I.
2002
Spatially complex equilibria of buckled rods. Zbl 0655.73029
Mielke, Alexander; Holmes, Philip
1988
Spatial structure of time-periodic solutions of the Ginzburg-Landau equation. Zbl 0618.35003
Holmes, Philip
1986
The dynamics of choice among multiple alternatives. Zbl 1139.91028
McMillen, Tyler; Holmes, Philip
2006
Periodic orbits in slowly varying oscillators. Zbl 0619.34041
Wiggins, Stephen; Holmes, Philip
1987
Repeated resonance and homoclinic bifurcation in a periodically forced family of oscillators. Zbl 0547.34028
Greenspan, Bernie; Holmes, Philip
1984
Homoclinic orbits in slowly varying oscillators. Zbl 0622.34041
Wiggins, Stephen; Holmes, Philip
1987
Celestial encounters. The origins of chaos and stability. Zbl 0944.37001
Diacu, Florin; Holmes, Philip
1996
Low-dimensional modelling of turbulence using the proper orthogonal decomposition: A tutorial. Zbl 1094.76024
Smith, Troy R.; Moehlis, Jeff; Holmes, Philip
2005
Constrained Euler buckling: An interplay of computation and analysis. Zbl 0949.74023
Holmes, Philip; Domokos, Gábor; Schmitt, John; Szeberényi, Imre
1999
Bifurcations of the forced van der Pol oscillator. Zbl 0375.34031
Holmes, P. J.; Rand, D. A.
1978
Chaotic motions in a weakly nonlinear model for surface waves. Zbl 0602.76015
Holmes, Philip
1986
Globally coupled oscillator networks. Zbl 1132.92316
Brown, Eric; Holmes, Philip; Moehlis, Jeff
2003
Constrained Euler buckling. Zbl 0876.34047
Domokos, G.; Holmes, P.; Royce, B.
1997
Fronts, domain walls and pulses in a generalized Ginzburg-Landau equation. Zbl 0820.58053
Duan, Jinqiao; Holmes, Philip
1995
Nonlinear stability of axisymmetric swirling flows. Zbl 0658.76044
Szeri, A.; Holmes, P.
1988
Mechanical models for insect locomotion: Dynamics and stability in the horizontal plane. I: Theory. Zbl 1033.92005
Schmitt, John; Holmes, Philip
2000
Dynamics of the Kirchhoff equations. I: Coincident centers of gravity and buoyancy. Zbl 1194.70009
Holmes, Philip; Jenkins, Jeffrey; Leonard, Naomi Ehrich
1998
The existence of transverse homoclinic points in the Sitnikov problem. Zbl 0815.34032
Dankowicz, Harry; Holmes, Philip
1995
On a Painlevé-type boundary-value problem. Zbl 0552.34023
Holmes, Philip; Spence, David
1984
The bifurcations of Duffing’s equation: An application of catastrophe theory. Zbl 0337.34049
Holmes, P. J.; Rand, D. A.
1976
Simple neural networks that optimize decisions. Zbl 1069.92004
Brown, Eric; Gao, Juan; Holmes, Philip; Bogacz, Rafal; Gilzenrat, Mark; Cohen, Jonathan D.
2005
On the attracting set for Duffing’s equation. II: A geometrical model for moderate force and damping. Zbl 0574.58024
Holmes, Philip; Whitley, David
1983
Minimal models of bursting neurons: How multiple currents, conductances, and timescales affect bifurcation diagrams. Zbl 1090.34039
Ghigliazza, R. M.; Holmes, P.
2004
Some remarks on chaotic particle paths in time-periodic, three- dimensional swirling flows. Zbl 0521.76049
Holmes, Philip
1984
A simply stabilized running model. Zbl 1088.34517
Ghigliazza, R. M.; Altendorfer, R.; Holmes, P.; Koditschek, D.
2003
The limited effectiveness of normal forms: A critical review and extension of local bifurcation studies of the Brusselator PDE. Zbl 0893.34027
Wittenberg, Ralf W.; Holmes, Philip
1997
Knotted periodic orbits in suspensions of Smale’s horseshoe: period multiplying and cabled knots. Zbl 0623.58014
Holmes, Philip
1986
Rapid decision threshold modulation by reward rate in a neural network. Zbl 1103.68726
Simen, Patrick; Cohen, Jonathan D.; Holmes, Philip
2006
Intermittent dynamics in simple models of the turbulent wall layer. Zbl 0729.76040
Berkooz, Gal; Holmes, Philip; Lumley, J. L.
1991
Bifurcation from $$O(2)$$ symmetric heteroclinic cycles with three interacting modes. Zbl 0737.58038
Campbell, Sue Ann; Holmes, Philip
1991
Noise induced intermittency in a model of a turbulent boundary layer. Zbl 0687.76055
Stone, Emily; Holmes, Philip
1989
Center manifolds, normal forms and bifurcations of vector fields with application to coupling between periodic and steady motions. Zbl 1194.37075
Holmes, Philip J.
1981
A hexapedal jointed-leg model for insect locomotion in the horizontal plane. Zbl 1248.92003
Kukillaya, Raghavendra P.; Holmes, Philip J.
2007
Low-dimensional models for turbulent plane Couette flow in a minimal flow unit. Zbl 1108.76031
Smith, T. R.; Moehlis, J.; Holmes, P.
2005
Mechanical models for insect locomotion: Dynamics and stability in the horizontal plane. II: Application. Zbl 1039.92006
Schmitt, John; Holmes, Philip
2000
Josephson’s junction, annulus maps, Birkhoff attractors, horseshoes and rotation sets. Zbl 0582.58020
Hockett, Kevin; Holmes, Philip
1986
The existence of arbitrarily many distinct periodic orbits in a two degree of freedom Hamiltonian system. Zbl 0595.58036
Veerman, Peter; Holmes, Philip
1985
A phase-reduced neuro-mechanical model for insect locomotion: feed-forward stability and proprioceptive feedback. Zbl 1211.93099
Proctor, J.; Kukillaya, R. P.; Holmes, P.
2010
Dynamics and stability of insect locomotion: a hexapedal model for horizontal plane motions. Zbl 1082.92010
Seipel, Justin E.; Holmes, Philip J.; Full, Robert J.
2004
An ODE whose solutions contain all knots and links. Zbl 0878.34038
Ghrist, Robert W.; Holmes, Philip J.
1996
An elastic rod model for anguilliform swimming. Zbl 1113.92005
McMillan, T.; Holmes, P.
2006
A minimal model of a central pattern generator and motoneurons for insect locomotion. Zbl 1090.34040
Ghigliazza, R. M.; Holmes, P.
2004
Dynamics and stability of legged locomotion in the horizontal plane: a test case using insects. Zbl 1068.92004
Schmitt, J.; Garcia, M.; Razo, R. C.; Holmes, P.; Full, R. J.
2002
Unfolding a degenerate nonlinear oscillator: A codimension two bifurcation. Zbl 0506.34034
Holmes, Philip
1980
A simple model for clock-actuated legged locomotion. Zbl 1229.70028
Seipel, J.; Holmes, P.
2007
Models for turbulent plane Couette flow using the proper orthogonal decomposition. Zbl 1185.76261
Moehlis, J.; Smith, T. R.; Holmes, P.; Faisst, H.
2002
Modeling a simple choice task: Stochastic dynamics of mutually inhibitory neural groups. Zbl 1060.92019
Brown, Eric; Holmes, Philip
2001
Homoclinic explosions and implosions. Zbl 0881.58044
Doelman, Arjen; Holmes, Philip
1996
Euler’s problem, Euler’s method, and the standard map; or, the discrete charm of buckling. Zbl 0797.34041
Domokos, G.; Holmes, P.
1993
Proof of non-integrability for the Hénon-Heiles Hamiltonian near an exceptional integrable case. Zbl 1194.37128
Holmes, Philip
1982
A strange family of three-dimensional vector fields near a degenerate singularity. Zbl 0421.58016
Holmes, Philip J.
1980
Pipes supported at both ends cannot flutter. Zbl 0386.73056
Holmes, P. J.
1978
Mechanical models for insect locomotion: Stability and parameter studies. Zbl 1059.70006
Schmitt, John; Holmes, Philip
2001
Heteroclinic cycles and modulated travelling waves in a system with $$D_ 4$$ symmetry. Zbl 0774.34031
Campbell, Sue Ann; Holmes, Philip
1992
The effect of modeled drag reduction on the wall region. Zbl 0708.76072
Aubry, N.; Lumley, J. L.; Holmes, P.
1990
Ninety plus thirty years of nonlinear dynamics: less is more and more is different. Zbl 1092.37500
Holmes, Philip
2005
Euler buckling in a potential field. Zbl 1139.74415
Holmes, P.; Domokos, G.; Hek, G.
2000
Simple models for excitable and oscillatory neural networks. Zbl 0908.92013
Taylor, David; Holmes, Philip
1998
Heterogeneous inputs to central pattern generators can shape insect gaits. Zbl 1425.92036
Aminzare, Zahra; Holmes, Philip
2019
Gait transitions in a phase oscillator model of an insect central pattern generator. Zbl 1385.92007
Aminzare, Zahra; Srivastava, Vaibhav; Holmes, Philip
2018
Explicit moments of decision times for single- and double-threshold drift-diffusion processes. Zbl 1396.91627
Srivastava, V.; Holmes, P.; Simen, P.
2016
A genealogy of convex solids via local and global bifurcations of gradient vector fields. Zbl 1359.52005
Domokos, Gábor; Holmes, Philip; Lángi, Zsolt
2016
Some joys and trials of mathematical neuroscience. Zbl 1293.92006
Holmes, Philip
2014
Turbulence, coherent structures, dynamical systems and symmetry. 2nd ed. Zbl 1251.76001
Holmes, Philip; Lumley, John L.; Berkooz, Gahl; Rowley, Clarence W.
2012
Neural dynamics, bifurcations, and firing rates in a quadratic integrate-and-fire model with a recovery variable. I: Deterministic behavior. Zbl 1311.92051
Shlizerman, Eli; Holmes, Philip
2012
Dimension reduction and dynamics of a spiking neural network model for decision making under neuromodulation. Zbl 1217.34079
Eckhoff, Philip; Wong-Lin, Kongfatt; Holmes, Philip
2011
A phase-reduced neuro-mechanical model for insect locomotion: feed-forward stability and proprioceptive feedback. Zbl 1211.93099
Proctor, J.; Kukillaya, R. P.; Holmes, P.
2010
Reflexes and preflexes: on the role of sensory feedback on rhythmic patterns in insect locomotion. Zbl 1266.92037
Proctor, J.; Holmes, P.
2010
Robust versus optimal strategies for two-alternative forced choice tasks. Zbl 1204.91043
Zacksenhouse, M.; Bogacz, R.; Holmes, P.
2010
A model for insect locomotion in the horizontal plane: feedforward activation of fast muscles, stability, and robustness. Zbl 1403.92015
Kukillaya, Raghavendra P.; Holmes, Philip
2009
A comparison of bounded diffusion models for choice in time controlled tasks. Zbl 1176.60075
Zhang, Jiaxiang; Bogacz, Rafal; Holmes, Philip
2009
Sequential effects in two-choice reaction time tasks: decomposition and synthesis of mechanisms. Zbl 1402.92086
Gao, Juan; Wong-Lin, KongFatt; Holmes, Philip; Simen, Patrick; Cohen, Jonathan D.
2009
Dynamical analysis of Bayesian inference models for the Eriksen task. Zbl 1183.68487
Liu, Yuan Sophie; Yu, Angela; Holmes, Philip
2009
Closed-form approximations of first-passage distributions for a stochastic decision-making model. Zbl 1186.91061
Broderick, Tamara; Wong-Lin, Kong Fatt; Holmes, Philip
2009
Time-varying perturbations can distinguish among integrate-to-threshold models for perceptual decision making in reaction time tasks. Zbl 1168.91515
Zhou, Xiang; Wong-Lin, Kongfatt; Holmes, Philip
2009
How well can spring-mass-like telescoping leg models fit multi-pedal sagittal-plane locomotion data? Zbl 1400.92052
Srinivasan, Manoj; Holmes, Philip
2008
A neural network model of the Eriksen task: reduction, analysis, and data fitting. Zbl 1146.68421
Liu, Yuan Sophie; Holmes, Philip; Cohen, Jonathan D.
2008
Steering by transient destabilization in piecewise-holonomic models of legged locomotion. Zbl 1229.70018
Proctor, J.; Holmes, P.
2008
On synchronization and traveling waves in chains of relaxation oscillators with an application to Lamprey CPG. Zbl 1167.34347
Várkonyi, Péter L.; Holmes, Philip
2008
A hexapedal jointed-leg model for insect locomotion in the horizontal plane. Zbl 1248.92003
Kukillaya, Raghavendra P.; Holmes, Philip J.
2007
A simple model for clock-actuated legged locomotion. Zbl 1229.70028
Seipel, J.; Holmes, P.
2007
The dynamics of legged locomotion: Models, analyses, and challenges. Zbl 1100.34002
Holmes, Philip; Full, Robert J.; Koditschek, Dan; Guckenheimer, John
2006
The dynamics of choice among multiple alternatives. Zbl 1139.91028
McMillen, Tyler; Holmes, Philip
2006
Rapid decision threshold modulation by reward rate in a neural network. Zbl 1103.68726
Simen, Patrick; Cohen, Jonathan D.; Holmes, Philip
2006
An elastic rod model for anguilliform swimming. Zbl 1113.92005
McMillan, T.; Holmes, P.
2006
Low-dimensional modelling of turbulence using the proper orthogonal decomposition: A tutorial. Zbl 1094.76024
Smith, Troy R.; Moehlis, Jeff; Holmes, Philip
2005
Simple neural networks that optimize decisions. Zbl 1069.92004
Brown, Eric; Gao, Juan; Holmes, Philip; Bogacz, Rafal; Gilzenrat, Mark; Cohen, Jonathan D.
2005
Low-dimensional models for turbulent plane Couette flow in a minimal flow unit. Zbl 1108.76031
Smith, T. R.; Moehlis, J.; Holmes, P.
2005
Ninety plus thirty years of nonlinear dynamics: less is more and more is different. Zbl 1092.37500
Holmes, Philip
2005
Towards a neuromechanical model for insect locomotion: hybrid dynamical systems. Zbl 1084.34050
Ghigliazza, R. M.; Holmes, P.
2005
Heteroclinic cycles and periodic orbits for the O(2)-equivariant 0:1:2 mode interaction. Zbl 1099.37044
Smith, T. R.; Moehlis, J.; Holmes, P.
2005
A simply stabilized running model. Zbl 1074.70005
Ghigliazza, R. M.; Altendorfer, R.; Holmes, P.; Koditschek, D.
2005
On the phase reduction and response dynamics of neural oscillator population. Zbl 1054.92006
Brown, Eric; Moehlis, Jeff; Holmes, Philip
2004
Strong NLS soliton-defect interactions. Zbl 1061.35132
Goodman, Roy H.; Holmes, Philip J.; Weinstein, Michael I.
2004
Minimal models of bursting neurons: How multiple currents, conductances, and timescales affect bifurcation diagrams. Zbl 1090.34039
Ghigliazza, R. M.; Holmes, P.
2004
Dynamics and stability of insect locomotion: a hexapedal model for horizontal plane motions. Zbl 1082.92010
Seipel, Justin E.; Holmes, Philip J.; Full, Robert J.
2004
A minimal model of a central pattern generator and motoneurons for insect locomotion. Zbl 1090.34040
Ghigliazza, R. M.; Holmes, P.
2004
Globally coupled oscillator networks. Zbl 1132.92316
Brown, Eric; Holmes, Philip; Moehlis, Jeff
2003
A simply stabilized running model. Zbl 1088.34517
Ghigliazza, R. M.; Altendorfer, R.; Holmes, P.; Koditschek, D.
2003
On nonlinear boundary-value problems: Ghosts, parasites and discretizations. Zbl 1069.34020
Domokos, G.; Holmes, P.
2003
Travelling wave solutions of the degenerate Kolmogorov-Petrovski-Piskunov equation. Zbl 1060.35052
Medvedev, G. S.; Ono, K.; Holmes, P. J.
2003
Mechanical models for insect locomotion: active muscles and energy losses. Zbl 1105.92307
Schmitt, John; Holmes, Philip
2003
Buckling in response to applied heat sources. Zbl 1083.74021
Cisternas, Jaime; Holmes, Philip; Kevrekidis, Ioannis G.
2003
Interaction of sine-Gordon kinks with defects: Phase space transport in a two-mode model. Zbl 0985.35074
Goodman, Roy H.; Holmes, Philip J.; Weinstein, Michael I.
2002
Dynamics and stability of legged locomotion in the horizontal plane: a test case using insects. Zbl 1068.92004
Schmitt, J.; Garcia, M.; Razo, R. C.; Holmes, P.; Full, R. J.
2002
Models for turbulent plane Couette flow using the proper orthogonal decomposition. Zbl 1185.76261
Moehlis, J.; Smith, T. R.; Holmes, P.; Faisst, H.
2002
On the dynamics of cranes, or spherical pendula with moving supports. Zbl 1346.37069
Ghigliazza, R. M.; Holmes, P.
2002
Buckling of extensible thermoelastic rods. Zbl 1027.74025
Cisternas, J.; Holmes, P.
2002
Nonlinear propagation of light in one-dimensional periodic structures. Zbl 1005.78011
Goodman, R. H.; Weinstein, M. I.; Holmes, P. J.
2001
Modeling a simple choice task: Stochastic dynamics of mutually inhibitory neural groups. Zbl 1060.92019
Brown, Eric; Holmes, Philip
2001
Mechanical models for insect locomotion: Stability and parameter studies. Zbl 1059.70006
Schmitt, John; Holmes, Philip
2001
Homoclinic orbits and chaos in three- and four-dimensional flows. Zbl 1004.37013
Holmes, Philip; Doelman, Arjen; Hek, Geertje; Domokos, Gábor
2001
Low-dimensional models of turbulence or, the dynamics of coherent structures. Zbl 1007.35059
Holmes, P. J.; Mattingly, J. C.; Wittenberg, R. W.
2001
On the global dynamics of Kirchhoff’s equations: Rigid body models for underwater vehicles. Zbl 1015.37043
Hanßmann, Heinz; Holmes, Philip
2001
Low-dimensional models with varying parameters: A model problem and flow through a diffuser with variable angle. Zbl 1020.76041
Smith, Troy; Holmes, Philip
2001
Mechanical models for insect locomotion: Dynamics and stability in the horizontal plane. I: Theory. Zbl 1033.92005
Schmitt, John; Holmes, Philip
2000
Mechanical models for insect locomotion: Dynamics and stability in the horizontal plane. II: Application. Zbl 1039.92006
Schmitt, John; Holmes, Philip
2000
Euler buckling in a potential field. Zbl 1139.74415
Holmes, P.; Domokos, G.; Hek, G.
2000
Constrained Euler buckling: An interplay of computation and analysis. Zbl 0949.74023
Holmes, Philip; Domokos, Gábor; Schmitt, John; Szeberényi, Imre
1999
Motions and stability of a piecewise holonomic system: The discrete Chaplygin sleigh. Zbl 1020.70007
Coleman, M. J.; Holmes, P.
1999
Constrained Euler buckling: Line contact solutions. Zbl 0983.74024
Holmes, Philip; Schmitt, John; Domokos, Gabor
1999
Turbulence, coherent structures, dynamical systems and symmetry. Zbl 0923.76002
Holmes, Philip; Lumley, John L.; Berkooz, Gal
1998
Dynamics of the Kirchhoff equations. I: Coincident centers of gravity and buoyancy. Zbl 1194.70009
Holmes, Philip; Jenkins, Jeffrey; Leonard, Naomi Ehrich
1998
Simple models for excitable and oscillatory neural networks. Zbl 0908.92013
Taylor, David; Holmes, Philip
1998
Homoclinic saddle-node bifurcations and subshifts in a three-dimensional flow. Zbl 0930.37026
Hek, Geertje; Doelman, Arjen; Holmes, Philip
1998
Global existence and uniqueness for an optical fibre laser model. Zbl 0913.35018
Mielke, Alexander; Holmes, Philip; Kutz, J. Nathan
1998
Knots and links in three-dimensional flows. Zbl 0869.58044
Ghrist, Robert W.; Holmes, Philip J.; Sullivan, Michael C.
1997
Constrained Euler buckling. Zbl 0876.34047
Domokos, G.; Holmes, P.; Royce, B.
1997
The limited effectiveness of normal forms: A critical review and extension of local bifurcation studies of the Brusselator PDE. Zbl 0893.34027
Wittenberg, Ralf W.; Holmes, Philip
1997
Suppression of bursting. Zbl 0868.93057
Coller, B. D.; Holmes, Philip
1997
Erratum: ”Interaction of adjacent bursts in the wall region” [Phys. Fluids 6 (1994), no. 2, part 2, 954–961]. Zbl 1185.76746
Coller, B. D.; Holmes, P.; Lumley, John
1997
Turbulence, coherent structures, dynamical systems and symmetry. Zbl 0890.76001
Holmes, Philip; Lumley, John L.; Berkooz, Gal
1996
Celestial encounters. The origins of chaos and stability. Zbl 0944.37001
Diacu, Florin; Holmes, Philip
1996
An ODE whose solutions contain all knots and links. Zbl 0878.34038
Ghrist, Robert W.; Holmes, Philip J.
1996
Homoclinic explosions and implosions. Zbl 0881.58044
Doelman, Arjen; Holmes, Philip
1996
On a dynamical model for phase transformation in nonlinear elasticity. Zbl 0876.73015
Kalies, W. D.; Holmes, P. J.
1996
Local models of spatio-temporally complex fields. Zbl 0885.35115
Dankowicz, Harry; Holmes, Philip; Berkooz, Gal; Elezgaray, Juan
1996
Fronts, domain walls and pulses in a generalized Ginzburg-Landau equation. Zbl 0820.58053
Duan, Jinqiao; Holmes, Philip
1995
The existence of transverse homoclinic points in the Sitnikov problem. Zbl 0815.34032
Dankowicz, Harry; Holmes, Philip
1995
Wavelet projections of the Kuramoto-Sivashinsky equation. I: Heteroclinic cycles and modulated traveling waves for short systems. Zbl 0890.58086
Myers, Mark; Holmes, Philip; Elezgaray, Juan; Berkooz, Gal
1995
On the Cauchy problem of a generalized Ginzburg-Landau equation. Zbl 0833.35067
Duan, Jinqiao; Holmes, Philip
1994
Control of noisy heteroclinic cycles. Zbl 0816.76037
Coller, B. D.; Holmes, Philip; Lumley, John L.
1994
Knotting within the gluing bifurcation. Zbl 0864.58045
Holmes, P.; Ghrist, R.
1994
Interaction of adjacent bursts in the wall region. Zbl 0830.76040
Coller, B. D.; Holmes, P.; Lumley, J. L.
1994
The proper orthogonal decomposition, wavelets and modal approaches to the dynamics of coherent structures. Zbl 0823.76036
Berkooz, Gal; Elezgaray, Juan; Holmes, Philip; Lumley, John; Poje, Andrew
1994
On the relation between low-dimensional models and the dynamics of coherent structures in the turbulent wall layer. Zbl 0782.76048
Berkooz, Gal; Holmes, Philip; Lumley, J. L.
1993
Regularity, approximation and asymptotic dynamics for a generalized Ginzburg-Landau equation. Zbl 0808.35133
Duan, Jinqiao; Titi, Edriss S.; Holmes, Philip
1993
Euler’s problem, Euler’s method, and the standard map; or, the discrete charm of buckling. Zbl 0797.34041
Domokos, G.; Holmes, P.
1993
Wavelet analysis of the motion of coherent structures. Zbl 0899.76236
Elezgaray, J.; Berkooz, G.; Holmes, P.
1993
Knots and orbit genealogies in three dimensional flows. Zbl 0803.58047
Ghrist, Robert; Holmes, Philip
1993
Reduction, stability, instability and bifurcation in rotationally symmetric Hamiltonian systems. Zbl 0782.70015
Zombro, Brett; Holmes, Philip
1993
On non-inflectional solutions of non-uniform elasticae. Zbl 0793.73036
Domokos, Gábor; Holmes, Philip
1993
Symmetries, heteroclinic cycles and intermittency in fluid flow. Zbl 0788.76008
Holmes, Philip
1993
Cascades of homoclinic orbits to, and chaos near, a Hamiltonian saddle- center. Zbl 0749.58022
Mielke, A.; Holmes, P.; O’Reilly, O.
1992
Global existence theory for a generalized Ginzburg-Landau equation. Zbl 0783.35070
Duan, Jinqiao; Holmes, Philip; Titi, Edriss S.
1992
Energy minimization and the formation of microstructure in dynamic anti- plane shear. Zbl 0786.73066
Swart, Pieter J.; Holmes, Philip J.
1992
Heteroclinic cycles and modulated travelling waves in a system with $$D_ 4$$ symmetry. Zbl 0774.34031
Campbell, Sue Ann; Holmes, Philip
1992
Nonlinear, nonplanar and nonperiodic vibrations of a string. Zbl 0924.73127
O’Reilly, O.; Holmes, P. J.
1992
...and 82 more Documents
all top 5

#### Cited by 7,877 Authors

 77 Holmes, Philip J. 55 Li, Jibin 48 Llibre, Jaume 43 Luo, Zhendong 37 Yu, Pei 34 Jing, Zhujun 33 Zhang, Weinian 29 Ashwin, Peter 27 Marsden, Jerrold Eldon 26 Chen, Guanrong 26 Knobloch, Edgar 25 Xu, Wei 24 Moehlis, Jeff 24 Rodríguez-Luis, Alejandro J. 23 Algaba, Antonio 23 Yagasaki, Kazuyuki 21 Haller, George 21 Rand, Richard H. 20 Fečkan, Michal 20 Han, Maoan 20 Luo, Albert C. J. 20 Volkwein, Stefan 20 Zhang, Wei 19 Champneys, Alan R. 19 Feichtinger, Gustav 19 Jiang, Weihua 18 Balasuriya, Sanjeeva 18 Kevrekidis, Ioannis George 18 Yang, Qigui 17 Guo, Boling 17 Lu, Qishao 17 Noack, Bernd R. 17 Stewart, Ian Nicholas 16 Golubitsky, Martin A. 16 Guckenheimer, John M. 16 Iliescu, Traian 16 M-Seara, Tere 16 Shen, Jianwei 16 Wiggins, Stephen 15 Aubry, Nadine 15 Buonomo, Bruno 15 Kühn, Christian 15 Kutz, J. Nathan 14 Broer, Henk W. 14 Brunton, Steven L. 14 Gardini, Laura 14 Krauskopf, Bernd 14 Kuznetsov, Yuri Alexandrovich 14 Rega, Giuseppe 14 Xie, Jianhua 14 Yorke, James Alan 13 Doelman, Arjen 13 Duan, Jinqiao 13 Guo, Shangjiang 13 Lacitignola, Deborah 13 Leung, Andrew Yee-Tak 13 Liu, Qian 13 Liu, Zhengrong 13 Lumley, John Leask 13 Wiercigroch, Marian 13 Wilson, Dan D. 12 Akhmet, Marat Ubaydulla 12 Awrejcewicz, Jan 12 Campbell, Sue Ann 12 Cao, Hongjun 12 Freire Macías, Emilio 12 Grebogi, Celso 12 Huseyin, Koncay 12 Kooi, Bob W. 12 Merino, Manuel 12 Navon, Ionel Michael 12 Piqueira, José Roberto Castilho 12 Rom-Kedar, Vered 12 Rowley, Clarence W. 12 Sapsis, Themistoklis P. 12 Xu, Jian 11 Battelli, Flaviano 11 Bi, Qinsheng 11 Bishop, Steven R. 11 Cao, Qingjie 11 Chen, Yushu 11 Gamero, Estanislao 11 Gao, Hongjun 11 Labouriau, Isabel S. 11 Lenci, Stefano 11 Mezić, Igor 11 Osinga, Hinke Maria 11 Proctor, Joshua L. 11 Rinaldi, Sergio 11 Teixeira, Marco Antonio 11 Vakakis, Alexander F. 11 Wirl, Franz 11 Zgliczyński, Piotr 10 Aihara, Kazuyuki 10 Blackmore, Denis L. 10 Bountis, Tassos C. 10 Chossat, Pascal 10 Govaerts, Willy J. F. 10 Jiang, Guirong 10 Kaper, Tasso J. ...and 7,777 more Authors
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#### Cited in 462 Serials

 605 Physica D 389 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 328 Chaos, Solitons and Fractals 230 Nonlinear Dynamics 160 Journal of Differential Equations 155 Chaos 144 Journal of Fluid Mechanics 143 Applied Mathematics and Computation 119 Communications in Nonlinear Science and Numerical Simulation 92 Journal of Mathematical Analysis and Applications 88 Journal of Computational Physics 85 Physics Letters. A 85 Physics of Fluids 84 Journal of Nonlinear Science 61 SIAM Journal on Applied Dynamical Systems 60 Journal of Mathematical Biology 59 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 59 Applied Mathematics and Mechanics. (English Edition) 56 Journal of Computational and Applied Mathematics 54 Journal of Dynamics and Differential Equations 54 Nonlinear Analysis. Real World Applications 51 Computer Methods in Applied Mechanics and Engineering 49 Dynamics and Stability of Systems 48 Journal of Statistical Physics 44 Automatica 43 Mathematical and Computer Modelling 42 Biological Cybernetics 42 Communications in Mathematical Physics 40 Applied Mathematical Modelling 40 Nonlinear Analysis. Theory, Methods & Applications 39 Mathematical Biosciences 39 Journal of Economic Dynamics & Control 38 ZAMP. Zeitschrift für angewandte Mathematik und Physik 38 Journal of Theoretical Biology 37 Computers and Fluids 36 Journal of Mathematical Physics 35 Neural Computation 34 Computers & Mathematics with Applications 34 Mathematical Problems in Engineering 32 Bulletin of Mathematical Biology 31 Discrete and Continuous Dynamical Systems. Series B 31 Advances in Difference Equations 30 Regular and Chaotic Dynamics 29 Acta Mechanica 28 Systems & Control Letters 27 Archive for Rational Mechanics and Analysis 27 Journal of Computational Neuroscience 27 Discrete Dynamics in Nature and Society 25 Physica A 25 Acta Mathematicae Applicatae Sinica. English Series 25 Dynamical Systems 24 Transactions of the American Mathematical Society 23 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 22 Mathematics and Computers in Simulation 22 Meccanica 20 International Journal of Engineering Science 20 Mathematical Methods in the Applied Sciences 20 Theoretical and Computational Fluid Dynamics 20 Applied Mathematics Letters 19 Journal of Vibration and Control 18 Journal of the Franklin Institute 18 Nonlinearity 18 Studies in Applied Mathematics 18 Theoretical Population Biology 18 Acta Applicandae Mathematicae 17 International Journal for Numerical Methods in Fluids 17 Journal of Mathematical Psychology 17 Applied Numerical Mathematics 17 Abstract and Applied Analysis 16 International Journal for Numerical Methods in Engineering 16 European Journal of Mechanics. A. Solids 15 International Journal of Control 15 International Journal of Circuit Theory and Applications 15 Topology and its Applications 15 Ergodic Theory and Dynamical Systems 15 Journal of Difference Equations and Applications 15 European Journal of Mechanics. B. Fluids 15 Qualitative Theory of Dynamical Systems 13 Journal of the Mechanics and Physics of Solids 13 Physics Reports 13 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 13 Celestial Mechanics and Dynamical Astronomy 12 International Journal of Theoretical Physics 12 Reports on Mathematical Physics 12 Journal of Economic Theory 12 Journal of Optimization Theory and Applications 12 The Journal of Mathematical Neuroscience 11 International Journal of Modern Physics B 11 Journal of Economics 11 International Journal of Robust and Nonlinear Control 11 SIAM Journal on Scientific Computing 11 Journal of Biological Dynamics 10 Wave Motion 10 Proceedings of the American Mathematical Society 10 Numerical Methods for Partial Differential Equations 10 Advances in Computational Mathematics 10 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 10 Acta Mechanica Sinica 10 Journal of Applied Analysis and Computation 9 Applicable Analysis ...and 362 more Serials
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#### Cited in 58 Fields

 2,490 Dynamical systems and ergodic theory (37-XX) 2,002 Ordinary differential equations (34-XX) 898 Biology and other natural sciences (92-XX) 871 Fluid mechanics (76-XX) 829 Partial differential equations (35-XX) 801 Mechanics of particles and systems (70-XX) 548 Numerical analysis (65-XX) 436 Systems theory; control (93-XX) 390 Mechanics of deformable solids (74-XX) 242 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 136 Probability theory and stochastic processes (60-XX) 122 Computer science (68-XX) 121 Statistical mechanics, structure of matter (82-XX) 107 Calculus of variations and optimal control; optimization (49-XX) 100 Difference and functional equations (39-XX) 84 Information and communication theory, circuits (94-XX) 74 Optics, electromagnetic theory (78-XX) 74 Classical thermodynamics, heat transfer (80-XX) 74 Quantum theory (81-XX) 69 Global analysis, analysis on manifolds (58-XX) 66 Geophysics (86-XX) 63 Manifolds and cell complexes (57-XX) 57 Statistics (62-XX) 55 Operations research, mathematical programming (90-XX) 44 Operator theory (47-XX) 29 Differential geometry (53-XX) 27 General topology (54-XX) 23 Relativity and gravitational theory (83-XX) 21 Measure and integration (28-XX) 17 History and biography (01-XX) 17 Integral equations (45-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 12 Real functions (26-XX) 12 Approximations and expansions (41-XX) 11 Functional analysis (46-XX) 9 General and overarching topics; collections (00-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Astronomy and astrophysics (85-XX) 7 Combinatorics (05-XX) 6 Topological groups, Lie groups (22-XX) 5 Mathematical logic and foundations (03-XX) 5 Number theory (11-XX) 5 Algebraic geometry (14-XX) 5 Sequences, series, summability (40-XX) 5 Algebraic topology (55-XX) 3 Field theory and polynomials (12-XX) 3 Commutative algebra (13-XX) 3 Functions of a complex variable (30-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Special functions (33-XX) 3 Integral transforms, operational calculus (44-XX) 3 Mathematics education (97-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Category theory; homological algebra (18-XX) 2 Group theory and generalizations (20-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 1 Nonassociative rings and algebras (17-XX)

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