Edit Profile Stewart, Ian Nicholas Compute Distance To: Compute Author ID: stewart.ian-n Published as: Stewart, I.; Stewart, I. N.; Stewart, Ian; Stewart, Ian N.; Wormstein, A. Homepage: http://ianstewartjoat.weebly.com/ External Links: MGP · Wikidata · dblp · GND Documents Indexed: 259 Publications since 1969, including 77 Books all top 5 Co-Authors 125 single-authored 39 Golubitsky, Martin A. 10 Dias, Ana Paula S. 8 Tall, David 7 Aldosray, Falih A. M. 7 Gomes, M. Gabriela M. 7 Roberts, Richard Mark 6 Dionne, Benoit 5 Antoneli, Fernando jun. 5 Ashwin, Peter 5 Buescu, Jorge 5 Collins, James J. 5 Poston, Timothy 4 Frame, Michael L. 4 Montaldi, James A. 4 Parker, M. J. 3 Amayo, Ralph K. 3 Dangelmayr, Gerhard 3 Parker, Martyn 2 Barnsley, Michael Fielding 2 Buono, Pietro-Luciano 2 Chossat, Pascal 2 Cohen, Jack K. 2 Dellnitz, Michael 2 Elmhirst, Toby 2 Falconer, Kenneth J. 2 Furter, Jacques-Elie 2 Gökaydin, Dinis 2 Knobloch, Edgar 2 Manoel, Miriam 2 Mumford, David Bryant 2 Pivato, Marcus 2 Sitta, Angela Maria 2 Wang, Yangyang 1 Barrallo, Javier 1 Berry, Michael Victor 1 Berry, Michael W. 1 Best, Janet A. 1 Brazier, George 1 Brothers, Harlan J. 1 Cohen, Nathan 1 Coppens, Marc-Olivier 1 Crawford, John David 1 Doebeli, Michael 1 Drukker, Mark 1 Eglash, Ron 1 Field, Michael J. 1 Furstenberg, Hillel 1 Gandhi, Punit 1 Gomes, Gabriela 1 Haaf, Hermann 1 Hill, Andrew J. 1 Hill, Andrew N. 1 Hohmann, Andreas 1 Howe, Roger Evans 1 Huang, Zhengyuan 1 Impey, Michael 1 Jaffard, Stéphane 1 Janeczko, Stanisław 1 Jaworski, John 1 Jones, Robin 1 King, Greg 1 King, Gregory P. 1 Kroon, Michel 1 Krupa, Martin 1 Kulczycki, Marcin 1 Lesmoir-Gordon, Nigel 1 Marsden, Jerrold Eldon 1 Melbourne, Ian 1 Nicol, Matthew 1 Nijhout, H. Frederik 1 Postlethwaite, Claire M. 1 Reed, Michael C. 1 Robinson, Derek J. S. 1 Schaeffer, David G. 1 Shiau, LieJune 1 Silber, Mary 1 Stewart, I. N. 1 Török, Andrei 1 Towers, David A. 1 Wegelin, Michael 1 West, Bruce J. 1 Woodcock, A. E. R. 1 Woodcock, Alexander 1 Zhang, Weinian all top 5 Serials 19 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 9 Nonlinearity 7 Compositio Mathematica 7 Dynamics and Stability of Systems 7 Dynamical Systems 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Journal of the London Mathematical Society. Second Series 6 Journal of Nonlinear Science 6 SIAM Journal on Applied Dynamical Systems 5 Archiv der Mathematik 5 Hiroshima Mathematical Journal 5 Physica D 3 The Mathematical Gazette 3 IEEE Transactions on Circuits and Systems 3 Mathematische Zeitschrift 3 Proceedings of the London Mathematical Society. Third Series 3 Notices of the American Mathematical Society 3 Nature, London 2 Biological Cybernetics 2 Bulletin of the Australian Mathematical Society 2 Journal of Mathematical Biology 2 Bulletin of Mathematical Biology 2 Chaos, Solitons and Fractals 2 The Mathematical Intelligencer 2 Journal of Algebra 2 Journal of Pure and Applied Algebra 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 Bulletin of the American Mathematical Society. New Series 2 Spektrum der Wissenschaft 2 Lecture Notes in Mathematics 2 Very Short Introductions 1 American Mathematical Monthly 1 Archive for Rational Mechanics and Analysis 1 Physics Letters. A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Applied Mathematics and Computation 1 Bulletin of the London Mathematical Society 1 Fundamenta Mathematicae 1 Geometriae Dedicata 1 Journal of Combinatorial Theory. Series A 1 Philosophical Transactions of the Royal Society of London. Ser. A 1 Southeast Asian Bulletin of Mathematics 1 Ergodic Theory and Dynamical Systems 1 Extracta Mathematicae 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Journal of Dynamics and Differential Equations 1 Philosophical Transactions of the Royal Society of London. Series A 1 Nonlinear Science Today 1 Algebra Colloquium 1 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica 1 Chaos 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of the Australian Mathematical Society 1 Journal of Algebra and its Applications 1 Applied Mathematical Sciences 1 Progress in Mathematics 1 The College Mathematics Journal 1 São Paulo Journal of Mathematical Sciences 1 Wiadomości Matematyczne 1 Symmetry 1 Journal of Theoretical Biology all top 5 Fields 95 Dynamical systems and ergodic theory (37-XX) 65 General and overarching topics; collections (00-XX) 51 Ordinary differential equations (34-XX) 35 Nonassociative rings and algebras (17-XX) 30 Global analysis, analysis on manifolds (58-XX) 27 Biology and other natural sciences (92-XX) 24 History and biography (01-XX) 19 Group theory and generalizations (20-XX) 13 Mathematics education (97-XX) 12 Partial differential equations (35-XX) 9 Combinatorics (05-XX) 8 Mechanics of particles and systems (70-XX) 7 Number theory (11-XX) 6 Information and communication theory, circuits (94-XX) 5 Field theory and polynomials (12-XX) 5 Associative rings and algebras (16-XX) 4 Computer science (68-XX) 4 Fluid mechanics (76-XX) 3 Commutative algebra (13-XX) 3 Topological groups, Lie groups (22-XX) 3 Manifolds and cell complexes (57-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Relativity and gravitational theory (83-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Geometry (51-XX) 2 General topology (54-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Astronomy and astrophysics (85-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 187 Publications have been cited 2,839 times in 1,778 Documents Cited by ▼ Year ▼ Singularities and groups in bifurcation theory. Volume II. Zbl 0691.58003Golubitsky, Martin; Stewart, Ian; Schaeffer, David G. 559 1988 Catastrophe theory and its applications. Zbl 0382.58006Poston, Tim; Stewart, Ian 286 1978 The symmetry perspective. From equilibrium to chaos in phase space and physical space. Zbl 1031.37001Golubitsky, Martin; Stewart, Ian 116 2002 Nonlinear dynamics of networks: the groupoid formalism. Zbl 1119.37036Golubitsky, Martin; Stewart, Ian 105 2006 Symmetry groupoids and patterns of synchrony in coupled cell networks. Zbl 1089.34032Stewart, Ian; Golubitsky, Martin; Pivato, Marcus 102 2003 Patterns of synchrony in coupled cell networks with multiple arrows. Zbl 1090.34030Golubitsky, Martin; Stewart, Ian; Török, Andrei 98 2005 From attractor to chaotic saddle: A tale of transverse instability. Zbl 0887.58034Ashwin, Peter; Buescu, Jorge; Stewart, Ian 97 1996 Hopf bifurcation in the presence of symmetry. Zbl 0588.34030Golubitsky, Martin; Stewart, Ian 96 1985 Bubbling of attractors and synchronisation of chaotic oscillators. Zbl 0959.37508Ashwin, Peter; Buescu, Jorge; Stewart, Ian 65 1994 Coupled nonlinear oscillators and the symmetries of animal gaits. Zbl 0808.92012Collins, J. J.; Stewart, I. N. 63 1993 Infinite-dimensional Lie algebras. Zbl 0302.17006Amayo, Ralph K.; Stewart, Ian 51 1974 A modular network for legged locomotion. Zbl 1039.92009Golubitsky, Martin; Stewart, Ian; Buono, Pietro-Luciano; Collins, J. J. 39 1998 Periodic solutions near equilibria of symmetric Hamiltonian systems. Zbl 0671.58034Montaldi, J. A.; Roberts, R. M.; Stewart, I. N. 37 1988 A group-theoretic approach to rings of coupled biological oscillators. Zbl 0804.92009Collins, J. J.; Stewart, I. 32 1994 Symmetry and stability in Taylor-Couette flow. Zbl 0603.76053Golubitsky, Martin; Stewart, Ian 32 1986 Hopf bifurcation with dihedral group symmetry: coupled nonlinear oscillators. Zbl 0602.58038Golubitsky, Martin; Stewart, Ian 32 1986 Coupled cells with internal symmetry. I: Wreath products. Zbl 0894.58049Dionne, Benoit; Golubitsky, Martin; Stewart, Ian 31 1996 Hexapodal gaits and coupled nonlinear oscillator models. Zbl 0767.92015Collins, J. J.; Stewart, Ian 30 1993 Some curious phenomena in coupled cell networks. Zbl 1136.37359Golubitsky, M.; Nicol, M.; Stewart, I. 29 2004 Algebraic number theory. Zbl 0413.12001Stewart, Ian; Tall, David 28 1979 Liapunov stability and adding machines. Zbl 0848.54027Buescu, Jorge; Stewart, Ian 27 1995 Algebraic number theory. 2nd ed. Zbl 0663.12001Stewart, Ian; Tall, David 27 1987 Existence of nonlinear normal modes of symmetric Hamiltonian systems. Zbl 0711.58011Montaldi, James; Roberts, Mark; Stewart, Ian 26 1990 Generic bifurcation of Hamiltonian systems with symmetry. With an appendix by Jerrold Marsden. Zbl 0612.58013Golubitsky, Martin; Stewart, Ian 23 1987 Coupled cells with internal symmetry. II: Direct products. Zbl 0894.58050Dionne, Benoit; Golubitsky, Martin; Stewart, Ian 22 1996 The lattice of balanced equivalence relations of a coupled cell network. Zbl 1120.37003Stewart, Ian 21 2007 Boundary conditions as symmetry constraints. Zbl 0735.35007Crawford, J. D.; Golubitsky, M.; Gomes, M. G. M.; Knobloch, E.; Stewart, I. N. 20 1991 The constrained Liapunov-Schmidt procedure and periodic orbits. Zbl 0833.58014Golubitsky, Martin; Marsden, Jerrold E.; Stewart, Ian; Dellnitz, Michael 18 1995 Symmetry and synchrony in coupled cell networks. I: Fixed-point spaces. Zbl 1145.37019Antoneli, Fernando; Stewart, Ian 17 2006 Algebraic number theory and Fermat’s last theorem. Revised 3rd ed. Zbl 0994.11001Stewart, Ian; Tall, David 17 2002 Steady PDEs on generalized rectangles: A change of genericity in mode interactions. Zbl 0836.35018Gomes, M. G. M.; Stewart, I. N. 16 1994 Galois theory. Zbl 0269.12104Stewart, Ian 16 1973 Fearful symmetry: is God a geometer? Zbl 0931.00014Stewart, Ian; Golubitsky, Martin 15 1992 Interior symmetry and local bifurcation in coupled cell networks. Zbl 1067.37066Golubitsky, M.; Pivato, M.; Stewart, I. 14 2004 An algebraic treatment of Mal’cev’s theorems concerning nilpotent Lie groups and their Lie algebras. Zbl 0204.35903Stewart, I. N. 14 1970 Linear equivalence and ODE-equivalence for coupled cell networks. Zbl 1079.37010Dias, Ana Paula S.; Stewart, Ian 13 2005 Catastrophe theory and its applications. (Teoriya katastrof i ee prilozheniya). Transl from the English. Zbl 0548.58007Poston, Tim; Stewart, Ian 13 1980 Homeostasis, singularities, and networks. Zbl 1369.92040Golubitsky, Martin; Stewart, Ian 12 2017 Four encounters with Sierpiński’s gasket. Zbl 0814.28002Stewart, Ian 12 1995 Lie algebras generated by finite-dimensional ideals. Zbl 0325.17002Stewart, I. 12 1975 Infinite-dimensional Lie algebras in the spirit of infinite group theory. Zbl 0204.36001Stewart, I. N. 12 1970 Galois theory. 3rd ed. Zbl 1049.12001Stewart, Ian 11 2004 Target patterns and spirals in planar reaction-diffusion systems. Zbl 0965.35084Golubitsky, M.; Knobloch, E.; Stewart, I. 11 2000 Bounded solutions for non-autonomous parabolic equations. Zbl 0857.34065Zhang, Weinian; Stewart, Ian 11 1996 Stability of nonlinear normal modes of symmetric Hamiltonian systems. Zbl 0703.58019Montaldi, James; Roberts, Mark; Stewart, Ian 11 1990 Galois theory. 2nd ed. Zbl 0694.12001Stewart, Ian 11 1989 Does God play dice? The mathematics of chaos. Zbl 0717.00001Stewart, Ian 11 1989 Finitely generated Lie algebras. Zbl 0246.17014Amayo, Ralph K.; Stewart, Ian 11 1972 Synchrony-breaking bifurcation at a simple real eigenvalue for regular networks 1:1-dimensional cells. Zbl 1235.37011Stewart, Ian; Golubitsky, Martin 10 2011 Symmetry-breaking bifurcation: A possible mechanism for 2:1 frequency- locking in animal locomotion. Zbl 0757.92011Collins, J. J.; Stewart, I. N. 10 1992 The minimal condition for subideals of Lie algebras. Zbl 0179.33203Stewart, I. N. 10 1969 Symmetry and synchrony in couples cell networks. II: Group networks. Zbl 1141.37392Antoneli, Fernando; Stewart, Ian 9 2007 Symmetric chaos. Zbl 0754.58025King, Greg; Stewart, Ian 9 1992 Hopf-steady-state mode interactions with O(2) symmetry. Zbl 0826.34036Hill, Andrew; Stewart, Ian 9 1991 Taylor expansions and catastrophes. Zbl 0335.58008Poston, T.; Stewart, I. N. 9 1976 Lie algebras. Zbl 0213.04201Stewart, I. 9 1970 Spatiotemporal symmetries in the disynaptic canal-neck projection. Zbl 1129.92015Golubitsky, Martin; Shiau, Liejune; Stewart, Ian 8 2007 Symmetry groupoids and admissible vector fields for coupled cell networks. Zbl 1049.37009Dias, Ana Paula S.; Stewart, Ian 8 2004 Bifurcations on hemispheres. Zbl 0791.35044Field, M.; Golubitsky, M.; Stewart, I. 8 1991 Verbal and marginal properties of non-associative algebras. Zbl 0282.17002Stewart, Ian 8 1974 Analysis of homeostatic mechanisms in biochemical networks. Zbl 1382.92131Reed, Michael; Best, Janet; Golubitsky, Martin; Stewart, Ian; Nijhout, H. Frederik 7 2017 Periodic dynamics of coupled cell networks. I. Rigid patterns of synchrony and phase relations. Zbl 1162.37312Stewart, Ian; Parker, Martyn 7 2007 Detecting the symmetry of attractors for six oscillators coupled in a ring. Zbl 0885.58077Kroon, Michel; Stewart, Ian 7 1995 Complex analysis. The hitchhiker’s guide to the plane. Zbl 0501.30001Stewart, Ian; Tall, David 7 1983 Applications of catastrophe theory to the physical sciences. Zbl 1194.00017Stewart, Ian 7 1981 Tensorial extensions of central simple algebras. Zbl 0255.17002Stewart, Ian 7 1973 Structure theorems for a class of locally finite Lie algebras. Zbl 0225.17005Stewart, Ian 7 1972 Periodic dynamics of coupled cell networks. II: Cyclic symmetry. Zbl 1162.37010Stewart, Ian; Parker, Martyn 6 2008 Patterns of oscillation in coupled cell systems. Zbl 1017.37045Golubitsky, Martin; Stewart, Ian 6 2002 Symmetry methods in collisionless many-body problems. Zbl 0871.58047Stewart, I. 6 1996 Hopf bifurcations on generalized rectangles with Neumann boundary conditions. Zbl 0815.58026Gomes, Gabriela; Stewart, Ian 6 1994 Coupled cells: Wreath products and direct products. Zbl 0810.34028Golubitsky, Martin; Stewart, Ian; Dionne, Benoit 6 1994 Conjugacy theorems for a class of locally finite Lie algebras. Zbl 0303.17006Stewart, Ian 6 1975 Homeostasis in a feed forward loop gene regulatory motif. Zbl 1397.92179Antoneli, Fernando; Golubitsky, Martin; Stewart, Ian 5 2018 Galois theory. 4th revised ed. Zbl 1322.12001Stewart, Ian 5 2015 Forced symmetry-breaking of square lattice planforms. Zbl 1096.37027Parker, M. J.; Gomes, M. G. M.; Stewart, I. N. 5 2006 Synchrony versus symmetry in coupled cells. Zbl 1112.34020Golubitsky, Martin; Stewart, Ian 5 2005 Secondary bifurcations in systems with all-to-all coupling. Zbl 1057.34031Dias, Ana Paula S.; Stewart, Ian 5 2003 Symmetry and pattern formation in coupled cell networks. Zbl 0987.37041Golubitsky, Martin; Stewart, Ian 5 1999 Spirals in scalar reaction-diffusion equations. Zbl 0886.58102Dellnitz, Michael; Golubitsky, Martin; Hohmann, Andreas; Stewart, Ian 5 1995 Phase space reconstruction for symmetric dynamical systems. Zbl 1194.37133King, G. P.; Stewart, Ian 5 1992 Finite rings with a specified group of units. Zbl 0224.16011Stewart, Ian 5 1972 Bounds for the dimensions of certain Lie algebras. Zbl 0214.05102Stewart, I. 5 1971 A property of locally finite Lie algebras. Zbl 0211.05501Stewart, I. N. 5 1971 Homeostasis with multiple inputs. Zbl 1395.92067Golubitsky, Martin; Stewart, Ian 4 2018 Coordinate changes for network dynamics. Zbl 1362.37051Golubitsky, Martin; Stewart, Ian 4 2017 Rigid patterns of synchrony for equilibria and periodic cycles in network dynamics. Zbl 1382.92023Golubitsky, Martin; Stewart, Ian 4 2016 Algebraic number theory and Fermat’s last theorem. 4th edition. Zbl 1332.11001Stewart, Ian; Tall, David 4 2016 Examples of forced symmetry-breaking to homoclinic cycles in three-dimensional Euclidean-invariant systems. Zbl 1143.37324Parker, M. J.; Stewart, Ian; Gomes, M. G. M. 4 2008 Symmetry and synchrony in coupled cell networks. III. Exotic patterns. Zbl 1143.37302Antoneli, Fernando; Stewart, Ian 4 2008 Lyapunov stability and adding machines revisited. Zbl 1130.37328Buescu, Jorge; Kulczycki, Marcin; Stewart, Ian 4 2006 Symmetry-breaking as an origin of species. Zbl 1041.92020Stewart, Ian; Elmhirst, Toby; Cohen, Jack 4 2003 Algebraic path formulation for equivariant bifurcation problems. Zbl 0920.58018Furter, Jacques-Elie; Sitta, Angela Maria; Stewart, Ian 4 1998 Hidden symmetries and pattern formation in Lapwood convection. Zbl 0869.35077Impey, Michael; Roberts, Mark; Stewart, Ian 4 1996 Singularity theory and equivariant bifurcation problems with parameter symmetry. Zbl 0866.58021Furter, Jacques-Élie; Sitta, Angela Maria; Stewart, Ian 4 1996 Polyominoes of order 3 do not exist. Zbl 0788.05021Stewart, I. N.; Wormstein, A. 4 1992 Stability of periodic solutions in symmetric Hopf bifurcation. Zbl 0666.58032Stewart, Ian 4 1987 The problems of mathematics. With a foreword by James Joseph Sylvester. Zbl 0784.00012Stewart, Ian 4 1987 Descending chain conditions for Lie algebras of prime characteristic. Zbl 0311.17006Amayo, Ralph K.; Stewart, Ian 4 1975 Levi factors of infinite-dimensional Lie algebras. Zbl 0249.17013Stewart, Ian 4 1972 Symmetries of quotient networks for doubly periodic patterns on the hexagonal lattice. Zbl 1442.37056Stewart, Ian; Gökaydin, Dinis 1 2020 Exotic patterns of synchrony in planar lattice networks. Zbl 1412.34168Stewart, Ian 3 2019 Symmetries of quotient networks for doubly periodic patterns on the square lattice. Zbl 1439.34021Stewart, Ian; Gökaydin, Dinis 2 2019 Tetrahedral chains and a curious semigroup. Zbl 1455.20028Stewart, Ian 1 2019 Homeostasis in a feed forward loop gene regulatory motif. Zbl 1397.92179Antoneli, Fernando; Golubitsky, Martin; Stewart, Ian 5 2018 Homeostasis with multiple inputs. Zbl 1395.92067Golubitsky, Martin; Stewart, Ian 4 2018 Homeostasis, singularities, and networks. Zbl 1369.92040Golubitsky, Martin; Stewart, Ian 12 2017 Analysis of homeostatic mechanisms in biochemical networks. Zbl 1382.92131Reed, Michael; Best, Janet; Golubitsky, Martin; Stewart, Ian; Nijhout, H. Frederik 7 2017 Coordinate changes for network dynamics. Zbl 1362.37051Golubitsky, Martin; Stewart, Ian 4 2017 Spontaneous symmetry-breaking in a network model for quadruped locomotion. Zbl 1382.34036Stewart, Ian 3 2017 Why do all triangles form a triangle? Zbl 1391.51016Stewart, Ian 1 2017 Rigid patterns of synchrony for equilibria and periodic cycles in network dynamics. Zbl 1382.92023Golubitsky, Martin; Stewart, Ian 4 2016 Algebraic number theory and Fermat’s last theorem. 4th edition. Zbl 1332.11001Stewart, Ian; Tall, David 4 2016 Galois theory. 4th revised ed. Zbl 1322.12001Stewart, Ian 5 2015 Symmetry methods in mathematical biology. Zbl 1346.92011Golubitsky, Martin; Stewart, Ian 1 2015 The foundations of mathematics. 2nd ed. Zbl 1326.00008Stewart, Ian; Tall, David 1 2015 Symmetry-breaking in a rate model for a biped locomotion central pattern generator. Zbl 1352.92019Stewart, Ian 3 2014 Synchrony-breaking bifurcation at a simple real eigenvalue for regular networks 2: higher-dimensional cells. Zbl 1347.37042Stewart, Ian 2 2014 Symmetry. A very short introduction. Zbl 1292.00003Stewart, Ian 1 2013 The influence of Benoît B. Mandelbrot on mathematics. Zbl 1284.01048Barnsley, Michael F. (ed.); Frame, Michael (ed.); Stewart, Ian; Mumford, David; Howe, Roger; Furstenberg, Hillel; Falconer, Kenneth; West, Bruce J.; Coppens, Marc-Olivier; Cohen, Nathan; Jaffard, Stéphane; Berry, Michael; Frame, Michael 1 2012 Glimpses of Benoît B. Mandelbrot (1924–2010). Zbl 1284.01047Barnsley, Michael F. (ed.); Frame, Michael (ed.); Stewart, Ian; Mumford, David; Falconer, Kenneth; Eglash, Ron; Brothers, Harlan; Lesmoir-Gordon, Nigel; Barrallo, Javier; Berry, Michael; Frame, Michael 1 2012 Synchrony-breaking bifurcation at a simple real eigenvalue for regular networks 1:1-dimensional cells. Zbl 1235.37011Stewart, Ian; Golubitsky, Martin 10 2011 Phase oscillators with sinusoidal coupling interpreted in terms of projective geometry. Zbl 1248.34045Stewart, Ian 3 2011 An optimal lifting theorem for coupled cell networks. Zbl 1248.37027Stewart, Ian 1 2011 Sources of uncertainty in deterministic dynamics: an informal overview. Zbl 1239.01059Stewart, Ian 1 2011 Periodic dynamics of coupled cell networks. II: Cyclic symmetry. Zbl 1162.37010Stewart, Ian; Parker, Martyn 6 2008 Examples of forced symmetry-breaking to homoclinic cycles in three-dimensional Euclidean-invariant systems. Zbl 1143.37324Parker, M. J.; Stewart, Ian; Gomes, M. G. M. 4 2008 Symmetry and synchrony in coupled cell networks. III. Exotic patterns. Zbl 1143.37302Antoneli, Fernando; Stewart, Ian 4 2008 Partial classification of heteroclinic behaviour associated with the perturbation of hexagonal planforms. Zbl 1221.37107Parker, M. J.; Stewart, I. N.; Gomes, M. G. M. 2 2008 Why beauty is truth. A history of symmetry. Transl. from the English by Thomas Filk. Zbl 1156.00001Stewart, Ian 2 2008 Pod systems: An equivariant ordinary differential equation approach to dynamical systems on a spatial domain. Zbl 1162.37011Elmhirst, Toby; Stewart, Ian; Doebeli, Michael 1 2008 The lattice of balanced equivalence relations of a coupled cell network. Zbl 1120.37003Stewart, Ian 21 2007 Symmetry and synchrony in couples cell networks. II: Group networks. Zbl 1141.37392Antoneli, Fernando; Stewart, Ian 9 2007 Spatiotemporal symmetries in the disynaptic canal-neck projection. Zbl 1129.92015Golubitsky, Martin; Shiau, Liejune; Stewart, Ian 8 2007 Periodic dynamics of coupled cell networks. I. Rigid patterns of synchrony and phase relations. Zbl 1162.37312Stewart, Ian; Parker, Martyn 7 2007 Why beauty is truth. A history of symmetry. Zbl 1185.00003Stewart, Ian 3 2007 Elimination of multiple arrows and self-connections in coupled cell networks. Zbl 1117.37013Stewart, Ian 3 2007 Nonlinear dynamics of networks: the groupoid formalism. Zbl 1119.37036Golubitsky, Martin; Stewart, Ian 105 2006 Symmetry and synchrony in coupled cell networks. I: Fixed-point spaces. Zbl 1145.37019Antoneli, Fernando; Stewart, Ian 17 2006 Forced symmetry-breaking of square lattice planforms. Zbl 1096.37027Parker, M. J.; Gomes, M. G. M.; Stewart, I. N. 5 2006 Lyapunov stability and adding machines revisited. Zbl 1130.37328Buescu, Jorge; Kulczycki, Marcin; Stewart, Ian 4 2006 How to cut a cake. And other mathematical conundrums. Zbl 1210.00016Stewart, Ian 1 2006 Patterns of synchrony in coupled cell networks with multiple arrows. Zbl 1090.34030Golubitsky, Martin; Stewart, Ian; Török, Andrei 98 2005 Linear equivalence and ODE-equivalence for coupled cell networks. Zbl 1079.37010Dias, Ana Paula S.; Stewart, Ian 13 2005 Synchrony versus symmetry in coupled cells. Zbl 1112.34020Golubitsky, Martin; Stewart, Ian 5 2005 Enumeration of homogeneous coupled cell networks. Zbl 1092.05505Aldosray, Falih; Stewart, Ian 3 2005 Some curious phenomena in coupled cell networks. Zbl 1136.37359Golubitsky, M.; Nicol, M.; Stewart, I. 29 2004 Interior symmetry and local bifurcation in coupled cell networks. Zbl 1067.37066Golubitsky, M.; Pivato, M.; Stewart, I. 14 2004 Galois theory. 3rd ed. Zbl 1049.12001Stewart, Ian 11 2004 Symmetry groupoids and admissible vector fields for coupled cell networks. Zbl 1049.37009Dias, Ana Paula S.; Stewart, Ian 8 2004 Symmetry groupoids and patterns of synchrony in coupled cell networks. Zbl 1089.34032Stewart, Ian; Golubitsky, Martin; Pivato, Marcus 102 2003 Secondary bifurcations in systems with all-to-all coupling. Zbl 1057.34031Dias, Ana Paula S.; Stewart, Ian 5 2003 Symmetry-breaking as an origin of species. Zbl 1041.92020Stewart, Ian; Elmhirst, Toby; Cohen, Jack 4 2003 Speciation: A case study in symmetric bifurcation theory. Zbl 1065.37038Stewart, Ian 3 2003 Flatterland. Like Flatland, only more so. Zbl 1040.00005Stewart, Ian 1 2003 The symmetry perspective. From equilibrium to chaos in phase space and physical space. Zbl 1031.37001Golubitsky, Martin; Stewart, Ian 116 2002 Algebraic number theory and Fermat’s last theorem. Revised 3rd ed. Zbl 0994.11001Stewart, Ian; Tall, David 17 2002 Patterns of oscillation in coupled cell systems. Zbl 1017.37045Golubitsky, Martin; Stewart, Ian 6 2002 Does God play dice? The new mathematics of chaos. 2nd ed. Zbl 1031.00002Stewart, Ian 2 2002 Flatterland. Like Flatland, only more so. Zbl 0997.00004Stewart, Ian 1 2002 Target patterns and spirals in planar reaction-diffusion systems. Zbl 0965.35084Golubitsky, M.; Knobloch, E.; Stewart, I. 11 2000 Invariant theory for wreath product groups. Zbl 0972.13006Dias, Ana Paula S.; Stewart, Ian 3 2000 Heteroclinic cycles and wreath product symmetries. Zbl 0972.37031Dias, Ana Paula S.; Dionne, Benoit; Stewart, Ian 2 2000 Hilbert series for equivariant mappings restricted to invariant hyperplanes. Zbl 0974.13002Stewart, Ian; Dias, Ana Paula S. 2 2000 The classification of bifurcations with hidden symmetries. Zbl 1025.37029Manoel, Míriam; Stewart, Ian 2 2000 Symmetry and pattern formation in coupled cell networks. Zbl 0987.37041Golubitsky, Martin; Stewart, Ian 5 1999 Symmetry-breaking bifurcations of wreath product systems. Zbl 0973.37029Dias, A. P. S.; Stewart, I. 3 1999 Degenerate bifurcations with \(Z_2\oplus Z_2\)-symmetry. Zbl 1192.37074Manoel, Miriam; Stewart, Ian 1 1999 Hopf bifurcation on a simple cubic lattice. Zbl 0936.34028Dias, Ana Paula S.; Stewart, Ian 1 1999 A modular network for legged locomotion. Zbl 1039.92009Golubitsky, Martin; Stewart, Ian; Buono, Pietro-Luciano; Collins, J. J. 39 1998 Algebraic path formulation for equivariant bifurcation problems. Zbl 0920.58018Furter, Jacques-Elie; Sitta, Angela Maria; Stewart, Ian 4 1998 The magical maze: seeing the world through mathematical eyes. Zbl 1083.00501Stewart, Ian 1 1998 Nature’s numbers. The unreal reality of mathematics. Zbl 1078.00009Stewart, Ian 2 1997 Symmetric \(\omega\)-limit sets of smooth \(\Gamma\)-equivariant dynamical systems with \(\Gamma^0\) Abelian. Zbl 0908.58044Melbourne, Ian; Stewart, Ian 1 1997 Symmetry of generic bifurcations in cubic domains. Zbl 0889.35012Gomes, M. Gabriela M.; Stewart, Ian 1 1997 From attractor to chaotic saddle: A tale of transverse instability. Zbl 0887.58034Ashwin, Peter; Buescu, Jorge; Stewart, Ian 97 1996 Coupled cells with internal symmetry. I: Wreath products. Zbl 0894.58049Dionne, Benoit; Golubitsky, Martin; Stewart, Ian 31 1996 Coupled cells with internal symmetry. II: Direct products. Zbl 0894.58050Dionne, Benoit; Golubitsky, Martin; Stewart, Ian 22 1996 Bounded solutions for non-autonomous parabolic equations. Zbl 0857.34065Zhang, Weinian; Stewart, Ian 11 1996 Symmetry methods in collisionless many-body problems. Zbl 0871.58047Stewart, I. 6 1996 Hidden symmetries and pattern formation in Lapwood convection. Zbl 0869.35077Impey, Michael; Roberts, Mark; Stewart, Ian 4 1996 Singularity theory and equivariant bifurcation problems with parameter symmetry. Zbl 0866.58021Furter, Jacques-Élie; Sitta, Angela Maria; Stewart, Ian 4 1996 From here to infinity. A guide to today’s mathematics. A retitled and revised edition of ‘The problems of mathematics’. Zbl 0947.00504Stewart, Ian 1 1996 Liapunov stability and adding machines. Zbl 0848.54027Buescu, Jorge; Stewart, Ian 27 1995 The constrained Liapunov-Schmidt procedure and periodic orbits. Zbl 0833.58014Golubitsky, Martin; Marsden, Jerrold E.; Stewart, Ian; Dellnitz, Michael 18 1995 Four encounters with Sierpiński’s gasket. Zbl 0814.28002Stewart, Ian 12 1995 Detecting the symmetry of attractors for six oscillators coupled in a ring. Zbl 0885.58077Kroon, Michel; Stewart, Ian 7 1995 Spirals in scalar reaction-diffusion equations. Zbl 0886.58102Dellnitz, Michael; Golubitsky, Martin; Hohmann, Andreas; Stewart, Ian 5 1995 Time-periodic spatially periodic planforms in Euclidean equivariant partial differential equations. Zbl 0851.35108Dionne, Benoit; Golubitsky, Martin; Silber, Mary; Stewart, Ian 2 1995 Does God play dice? The mathematics of chaos. Zbl 1024.00501Stewart, Ian 1 1995 Bubbling of attractors and synchronisation of chaotic oscillators. Zbl 0959.37508Ashwin, Peter; Buescu, Jorge; Stewart, Ian 65 1994 A group-theoretic approach to rings of coupled biological oscillators. Zbl 0804.92009Collins, J. J.; Stewart, I. 32 1994 Steady PDEs on generalized rectangles: A change of genericity in mode interactions. Zbl 0836.35018Gomes, M. G. M.; Stewart, I. N. 16 1994 Hopf bifurcations on generalized rectangles with Neumann boundary conditions. Zbl 0815.58026Gomes, Gabriela; Stewart, Ian 6 1994 Coupled cells: Wreath products and direct products. Zbl 0810.34028Golubitsky, Martin; Stewart, Ian; Dionne, Benoit 6 1994 Sets, lines and adding machines. Zbl 0840.54030Buescu, Jorge; Stewart, Ian 2 1994 Oscillator networks with the symmetry of the unit quaternion group. Zbl 0817.58036Ashwin, Peter; Dangelmayr, Gerhard; Stewart, Ian; Wegelin, Michael 2 1994 Closed ideals of Lie algebras. Zbl 0838.17021Aldosray, Falih A. M.; Stewart, Ian 1 1994 Coupled nonlinear oscillators and the symmetries of animal gaits. Zbl 0808.92012Collins, J. J.; Stewart, I. N. 63 1993 Hexapodal gaits and coupled nonlinear oscillator models. Zbl 0767.92015Collins, J. J.; Stewart, Ian 30 1993 ...and 87 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,443 Authors 79 Stewart, Ian Nicholas 43 Golubitsky, Martin A. 31 Ashwin, Peter 25 Guo, Shangjiang 19 Dias, Ana Paula S. 18 Chossat, Pascal 18 Lamb, Jeroen S. W. 17 Buono, Pietro-Luciano 16 Knobloch, Edgar 16 Krawcewicz, Wieslaw Z. 14 Ikeda, Kiyohiro 14 Melbourne, Ian 14 Zhang, Chunrui 13 Aguiar, Manuela A. D. 13 Gaeta, Giuseppe 12 Dangelmayr, Gerhard 11 Aston, Philip J. 11 Balanov, Zalman I. 11 Labouriau, Isabel S. 10 Marsden, Jerrold Eldon 10 Wu, Jianhong 10 Zheng, Baodong 9 Amayo, Ralph K. 9 Dellnitz, Michael 9 Roberts, Richard Mark 8 Antoneli, Fernando jun. 8 Bridges, Thomas J. 8 Broer, Henk W. 8 Chen, Tianping 8 El Naschie, Mohamed Saladin 8 Field, Michael J. 8 Healey, Timothy J. 8 Horikawa, Yo 8 Lauterbach, Reiner 8 Palacios, Antonio 8 Pinto, Carla M. A. 8 Silber, Mary 8 Zhang, Weinian 7 Bischi, Gian-Italo 7 Holmes, Philip J. 7 Krupa, Martin 7 Lu, Wenlian 7 Maistrenko, Yuri L. 7 Sanders, Jan A. 7 Wallace, Rodrick 6 Aldosray, Falih A. M. 6 Crawford, John David 6 Janeczko, Stanisław 6 Kielhöfer, Hansjörg 6 Kitajima, Hiroyuki 6 Manoel, Miriam 6 Podvigina, Ol’ga Mikhaĭlovna 6 Puu, Tönu 6 Renardy, Yuriko Yamamuro 6 Steele, Timothy H. 6 Yanchuk, Sergiĭ Volodymyrovych 5 Bressloff, Paul C. 5 Castro, Sofia B. S. D. 5 Chan, Bernard S. 5 Collins, James J. 5 Domokos, Gábor 5 García-Azpeitia, Carlos 5 Gardini, Laura 5 Gatermann, Karin 5 Gomes, M. Gabriela M. 5 Grebogi, Celso 5 Kolev, Boris 5 Langford, William F. 5 LeBlanc, Victor G. 5 Maier-Paape, Stanislaus 5 Marques, Francisco 5 Mei, Zhen 5 Moehlis, Jeff 5 Montaldi, James A. 5 Murza, Adrian Calin 5 Nicol, Matthew 5 Nijholt, Eddie 5 Pecora, Louis M. 5 Rachinskii, Dmitrii I. 5 Ratiu, Tudor Stefan 5 Rink, Bob W. 5 Rodrigues, Alexandre A. P. 5 Rucklidge, Alastair M. 5 Scheurle, Jürgen 5 Song, Yongli 5 Swift, James W. 5 Takayama, Yuki 5 Troger, Hans 5 Wulff, Claudia 5 Zhou, Tianshou 5 Zhu, Changrong 4 Auffray, Nicolas 4 Bahturin, Yuri 4 Belykh, Igor V. 4 Bick, Christian 4 Blyuss, Konstantin B. 4 Böhmer, Klaus 4 Burylko, Oleksandr 4 Carroll, Thomas L. 4 Chen, Yushu ...and 2,343 more Authors all top 5 Cited in 370 Serials 171 Physica D 104 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 65 Chaos 53 Chaos, Solitons and Fractals 40 Journal of Nonlinear Science 39 Journal of Differential Equations 29 Journal of Algebra 25 Journal of Fluid Mechanics 25 Dynamics and Stability of Systems 24 SIAM Journal on Applied Dynamical Systems 23 Nonlinear Dynamics 21 Journal of Dynamics and Differential Equations 20 Dynamical Systems 19 Bulletin of Mathematical Biology 18 Archive for Rational Mechanics and Analysis 18 Biological Cybernetics 18 Communications in Nonlinear Science and Numerical Simulation 17 Mathematical Proceedings of the Cambridge Philosophical Society 17 Physics Letters. A 17 Journal of Computational and Applied Mathematics 15 Journal of Mathematical Biology 15 ZAMP. Zeitschrift für angewandte Mathematik und Physik 15 Compositio Mathematica 14 Transactions of the American Mathematical Society 14 Nonlinear Analysis. Theory, Methods & Applications 13 Journal of Mathematical Analysis and Applications 13 Applied Mathematics and Computation 13 Proceedings of the American Mathematical Society 12 Computer Methods in Applied Mechanics and Engineering 11 Computers & Mathematics with Applications 10 Communications in Algebra 10 Mathematical Biosciences 10 The Mathematical Intelligencer 10 Journal of Pure and Applied Algebra 10 Acta Applicandae Mathematicae 10 Journal of Theoretical Biology 9 Journal of Statistical Physics 9 Nonlinearity 9 Archiv der Mathematik 9 Automatica 9 Topology and its Applications 9 Applied Mathematics and Mechanics. (English Edition) 9 Annals of Physics 9 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 9 Journal of Difference Equations and Applications 9 Nonlinear Analysis. Real World Applications 8 Bulletin of the Australian Mathematical Society 8 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 8 Mathematical and Computer Modelling 7 Journal of Mathematical Physics 7 Mathematical Notes 7 Advances in Mathematics 7 Manuscripta Mathematica 7 Journal of Symbolic Computation 7 Journal of Economic Dynamics & Control 7 Neural Networks 7 SIAM Journal on Mathematical Analysis 7 Physics of Fluids 7 Abstract and Applied Analysis 7 The Journal of Mathematical Neuroscience 6 Acta Mechanica 6 International Journal of Engineering Science 6 International Journal of Systems Science 6 Journal of Computational Physics 6 Letters in Mathematical Physics 6 Physica A 6 Journal of Soviet Mathematics 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Journal of Computational Neuroscience 6 Mathematics and Mechanics of Solids 6 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 6 Journal of Geometric Mechanics 5 Communications in Mathematical Physics 5 Israel Journal of Mathematics 5 Journal of the Mechanics and Physics of Solids 5 Nuclear Physics. B 5 Rocky Mountain Journal of Mathematics 5 Journal of Geometry and Physics 5 Computing 5 International Journal for Numerical Methods in Engineering 5 Journal of Number Theory 5 Mathematics and Computers in Simulation 5 Mathematische Zeitschrift 5 Studies in Applied Mathematics 5 Theoretical Computer Science 5 Applied Mathematics Letters 5 Applied Mathematical Modelling 5 Journal of Elasticity 5 Linear Algebra and its Applications 5 Journal of Mathematical Sciences (New York) 5 Discrete and Continuous Dynamical Systems 5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 5 Symmetry 4 Discrete Applied Mathematics 4 International Journal of Mathematical Education in Science and Technology 4 International Journal of Theoretical Physics 4 Mathematical Methods in the Applied Sciences 4 Physics Reports 4 Wave Motion 4 Mathematics of Computation ...and 270 more Serials all top 5 Cited in 62 Fields 633 Dynamical systems and ergodic theory (37-XX) 451 Ordinary differential equations (34-XX) 259 Biology and other natural sciences (92-XX) 185 Partial differential equations (35-XX) 151 Global analysis, analysis on manifolds (58-XX) 148 Fluid mechanics (76-XX) 109 Mechanics of deformable solids (74-XX) 103 Mechanics of particles and systems (70-XX) 100 Nonassociative rings and algebras (17-XX) 82 Systems theory; control (93-XX) 75 Group theory and generalizations (20-XX) 67 Numerical analysis (65-XX) 67 Computer science (68-XX) 67 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 52 Combinatorics (05-XX) 44 Number theory (11-XX) 44 Statistical mechanics, structure of matter (82-XX) 41 Quantum theory (81-XX) 36 Information and communication theory, circuits (94-XX) 34 Associative rings and algebras (16-XX) 33 Operator theory (47-XX) 33 Optics, electromagnetic theory (78-XX) 31 Differential geometry (53-XX) 30 Operations research, mathematical programming (90-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 22 Difference and functional equations (39-XX) 21 Probability theory and stochastic processes (60-XX) 20 Relativity and gravitational theory (83-XX) 19 General topology (54-XX) 18 Commutative algebra (13-XX) 18 Topological groups, Lie groups (22-XX) 17 History and biography (01-XX) 17 Mathematical logic and foundations (03-XX) 17 Geometry (51-XX) 17 Convex and discrete geometry (52-XX) 17 Manifolds and cell complexes (57-XX) 16 General and overarching topics; collections (00-XX) 16 Algebraic geometry (14-XX) 16 Statistics (62-XX) 14 Measure and integration (28-XX) 11 Field theory and polynomials (12-XX) 11 Functional analysis (46-XX) 10 Several complex variables and analytic spaces (32-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 10 Classical thermodynamics, heat transfer (80-XX) 9 Geophysics (86-XX) 8 Real functions (26-XX) 6 Approximations and expansions (41-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 General algebraic systems (08-XX) 5 Integral equations (45-XX) 5 Algebraic topology (55-XX) 5 Astronomy and astrophysics (85-XX) 4 Special functions (33-XX) 3 Category theory; homological algebra (18-XX) 3 Functions of a complex variable (30-XX) 3 Mathematics education (97-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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