Edit Profile Stewart, Ian Nicholas Compute Distance To: Compute Author ID: stewart.ian-n Published as: Stewart, Ian; Stewart, I.; Stewart, I. N.; Stewart, Ian N.; Wormstein, A. Homepage: http://ianstewartjoat.weebly.com/ External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 258 Publications since 1969, including 75 Books 3 Contributions as Editor 14 Further Contributions all top 5 Co-Authors 126 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 Montaldi, James A. 4 Parker, M. J. 3 Amayo, Ralph K. 3 Dangelmayr, Gerhard 3 Falconer, Kenneth J. 3 Lesmoir-Gordon, Nigel 3 Parker, Martyn 2 Abbott, Edwin Abbott 2 Barnsley, Michael Fielding 2 Buono, Pietro-Luciano 2 Chossat, Pascal 2 Cohen, Jack K. 2 Dellnitz, Michael 2 Elmhirst, Toby 2 Frame, Michael Lee 2 Furter, Jacques-Elie 2 Gökaydin, Dinis 2 Hinz, Andreas M. 2 Klavžar, Sandi 2 Knobloch, Edgar 2 Mankiewicz, Richard 2 Manoel, Miriam 2 Marsden, Jerrold Eldon 2 Mumford, David Bryant 2 Petr, Ciril 2 Pivato, Marcus 2 Sitta, Angela Maria 2 Wang, Yangyang 1 Backhouse, Nigel B. 1 Barrallo, Javier 1 Beck, Robert E. 1 Belinfante, Johan Gijsbertus Frederik 1 Best, Janet A. 1 Brazier, George 1 Brothers, Harlan J. 1 Burge, Tyler 1 Chaitin, Gregory J. 1 Cohen, Nathan 1 Conatser, C. W. 1 Coppens, Marc-Olivier 1 Crawford, John David 1 Dennett, Daniel 1 Doebeli, Michael 1 Doria, Francisco Antonio 1 Drukker, Mark 1 Edwards, Anthony W. F. 1 Eglash, Ron 1 Field, Michael J. 1 Føllesdal, Dagfinn 1 Furstenberg, Hillel 1 Gandhi, Punit 1 Gardner, Martin 1 Gomes, Gabriela 1 Haaf, Hermann 1 Hentzel, Irvin Roy 1 Hinton, C. Howard 1 Hohmann, Andreas 1 Howe, Roger Evans 1 Huang, Zhengyuan 1 Huddleston, P. L. 1 Humphrey, Nicholas 1 Impey, Michael 1 Jaffard, Stéphane 1 Janeczko, Stanisław 1 Jaworski, John 1 Jones, Robin 1 King, Greg 1 King, Gregory P. 1 Kleinfeld, Erwin 1 Kolman, Bernard 1 Kolman, Bernard 1 Kroon, Michel 1 Krupa, Martin 1 Kulczycki, Marcin 1 Luks, Eugene M. 1 MacHale, Desmond 1 Maor, Eli 1 Mazur, Barry 1 McKay, W. G. 1 Melbourne, Ian 1 Milutinović, Uroš 1 Nicol, Matthew 1 Nijhout, H. Frederik 1 Patera, Jiří 1 Penrose, Roger 1 Postlethwaite, Claire M. 1 Reed, Michael C. 1 Robinson, Derek J. S. ...and 17 more Co-Authors all top 5 Serials 20 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 Portugaliae Mathematica. Nova Série 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 1 The Frontiers Collection 1 Princeton Science Library 1 London Mathematical Society. Newsletter all top 5 Fields 95 Dynamical systems and ergodic theory (37-XX) 76 General and overarching topics; collections (00-XX) 52 Ordinary differential equations (34-XX) 36 Nonassociative rings and algebras (17-XX) 33 History and biography (01-XX) 30 Global analysis, analysis on manifolds (58-XX) 27 Biology and other natural sciences (92-XX) 20 Group theory and generalizations (20-XX) 14 Combinatorics (05-XX) 14 Mathematics education (97-XX) 12 Partial differential equations (35-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 Mathematical logic and foundations (03-XX) 3 Commutative algebra (13-XX) 3 Topological groups, Lie groups (22-XX) 3 Measure and integration (28-XX) 3 Geometry (51-XX) 3 Manifolds and cell complexes (57-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Relativity and gravitational theory (83-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Functions of a complex variable (30-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) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-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 Open 193 Publications have been cited 2,807 times in 1,682 Documents Cited by ▼ Year ▼ Singularities and groups in bifurcation theory. Volume II. Zbl 0691.58003Golubitsky, Martin; Stewart, Ian; Schaeffer, David G. 426 1988 Catastrophe theory and its applications. Zbl 0382.58006Poston, Tim; Stewart, Ian 283 1978 Nonlinear dynamics of networks: the groupoid formalism. Zbl 1119.37036Golubitsky, Martin; Stewart, Ian 114 2006 The symmetry perspective. From equilibrium to chaos in phase space and physical space. Zbl 1031.37001Golubitsky, Martin; Stewart, Ian 111 2002 Symmetry groupoids and patterns of synchrony in coupled cell networks. Zbl 1089.34032Stewart, Ian; Golubitsky, Martin; Pivato, Marcus 111 2003 Patterns of synchrony in coupled cell networks with multiple arrows. Zbl 1090.34030Golubitsky, Martin; Stewart, Ian; Török, Andrei 109 2005 From attractor to chaotic saddle: A tale of transverse instability. Zbl 0887.58034Ashwin, Peter; Buescu, Jorge; Stewart, Ian 99 1996 Hopf bifurcation in the presence of symmetry. Zbl 0588.34030Golubitsky, Martin; Stewart, Ian 96 1985 Coupled nonlinear oscillators and the symmetries of animal gaits. Zbl 0808.92012Collins, J. J.; Stewart, I. N. 66 1993 Bubbling of attractors and synchronisation of chaotic oscillators. Zbl 0959.37508Ashwin, Peter; Buescu, Jorge; Stewart, Ian 65 1994 Infinite-dimensional Lie algebras. Zbl 0302.17006Amayo, Ralph K.; Stewart, Ian 53 1974 A modular network for legged locomotion. Zbl 1039.92009Golubitsky, Martin; Stewart, Ian; Buono, Pietro-Luciano; Collins, J. J. 40 1998 Periodic solutions near equilibria of symmetric Hamiltonian systems. Zbl 0671.58034Montaldi, J. A.; Roberts, R. M.; Stewart, I. N. 38 1988 Some curious phenomena in coupled cell networks. Zbl 1136.37359Golubitsky, M.; Nicol, M.; Stewart, I. 36 2004 Symmetry and stability in Taylor-Couette flow. Zbl 0603.76053Golubitsky, Martin; Stewart, Ian 32 1986 A group-theoretic approach to rings of coupled biological oscillators. Zbl 0804.92009Collins, J. J.; Stewart, I. 32 1994 The Tower of Hanoi – myths and maths. With a foreword by Ian Stewart. Zbl 1285.00003Hinz, Andreas M.; Klavžar, Sandi; Milutinović, Uroš; Petr, Ciril 32 2013 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 28 1993 Liapunov stability and adding machines. Zbl 0848.54027Buescu, Jorge; Stewart, Ian 28 1995 Hopf bifurcation with dihedral group symmetry: coupled nonlinear oscillators. Zbl 0602.58038Golubitsky, Martin; Stewart, Ian 25 1986 The lattice of balanced equivalence relations of a coupled cell network. Zbl 1120.37003Stewart, Ian 25 2007 Existence of nonlinear normal modes of symmetric Hamiltonian systems. Zbl 0711.58011Montaldi, James; Roberts, Mark; Stewart, Ian 25 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 Boundary conditions as symmetry constraints. Zbl 0735.35007Crawford, J. D.; Golubitsky, M.; Gomes, M. G. M.; Knobloch, E.; Stewart, I. N. 21 1991 Algebraic number theory. Zbl 0413.12001Stewart, Ian; Tall, David 21 1979 The constrained Liapunov-Schmidt procedure and periodic orbits. Zbl 0833.58014Golubitsky, Martin; Marsden, Jerrold E.; Stewart, Ian; Dellnitz, Michael 19 1995 Symmetry and synchrony in coupled cell networks. I: Fixed-point spaces. Zbl 1145.37019Antoneli, Fernando; Stewart, Ian 19 2006 Algebraic number theory and Fermat’s last theorem. Revised 3rd ed. Zbl 0994.11001Stewart, Ian; Tall, David 18 2002 Steady PDEs on generalized rectangles: A change of genericity in mode interactions. Zbl 0836.35018Gomes, M. G. M.; Stewart, I. N. 16 1994 Fearful symmetry: is God a geometer? Zbl 0931.00014Stewart, Ian; Golubitsky, Martin 16 1992 Interior symmetry and local bifurcation in coupled cell networks. Zbl 1067.37066Golubitsky, M.; Pivato, M.; Stewart, I. 16 2004 Algebraic number theory. 2nd ed. Zbl 0663.12001Stewart, Ian; Tall, David 15 1987 Linear equivalence and ODE-equivalence for coupled cell networks. Zbl 1079.37010Dias, Ana Paula S.; Stewart, Ian 15 2005 An algebraic treatment of Mal’cev’s theorems concerning nilpotent Lie groups and their Lie algebras. Zbl 0204.35903Stewart, I. N. 14 1970 Galois theory. Zbl 0269.12104Stewart, Ian 14 1973 Homeostasis, singularities, and networks. Zbl 1369.92040Golubitsky, Martin; Stewart, Ian 13 2017 Cogwheels of the mind. The story of Venn diagrams. Foreword by Ian Stewart. Zbl 1056.01001Edwards, A. W. F. 13 2004 Does God play dice? The mathematics of chaos. Zbl 0717.00001Stewart, Ian 12 1989 Target patterns and spirals in planar reaction-diffusion systems. Zbl 0965.35084Golubitsky, M.; Knobloch, E.; Stewart, I. 12 2000 Four encounters with Sierpiński’s gasket. Zbl 0814.28002Stewart, Ian 12 1995 Infinite-dimensional Lie algebras in the spirit of infinite group theory. Zbl 0204.36001Stewart, I. N. 12 1970 Synchrony-breaking bifurcation at a simple real eigenvalue for regular networks 1:1-dimensional cells. Zbl 1235.37011Stewart, Ian; Golubitsky, Martin 12 2011 Lie algebras generated by finite-dimensional ideals. Zbl 0325.17002Stewart, I. 12 1975 Catastrophe theory and its applications. (Teoriya katastrof i ee prilozheniya). Transl from the English. Zbl 0548.58007Poston, Tim; Stewart, Ian 11 1980 Bounded solutions for non-autonomous parabolic equations. Zbl 0857.34065Zhang, Weinian; Stewart, Ian 11 1996 Galois theory. 2nd ed. Zbl 0694.12001Stewart, Ian 11 1989 Galois theory. 3rd ed. Zbl 1049.12001Stewart, Ian 11 2004 The minimal condition for subideals of Lie algebras. Zbl 0179.33203Stewart, I. N. 11 1969 Finitely generated Lie algebras. Zbl 0246.17014Amayo, Ralph K.; Stewart, Ian 11 1972 Symmetry and synchrony in couples cell networks. II: Group networks. Zbl 1141.37392Antoneli, Fernando; Stewart, Ian 11 2007 Stability of nonlinear normal modes of symmetric Hamiltonian systems. Zbl 0703.58019Montaldi, James; Roberts, Mark; Stewart, Ian 10 1990 Symmetry-breaking bifurcation: A possible mechanism for 2:1 frequency- locking in animal locomotion. Zbl 0757.92011Collins, J. J.; Stewart, I. N. 10 1992 Taylor expansions and catastrophes. Zbl 0335.58008Poston, T.; Stewart, I. N. 10 1976 Symmetric chaos. Zbl 0754.58025King, Greg; Stewart, Ian 9 1992 Verbal and marginal properties of non-associative algebras. Zbl 0282.17002Stewart, Ian 9 1974 Periodic dynamics of coupled cell networks. II: Cyclic symmetry. Zbl 1162.37010Stewart, Ian; Parker, Martyn 9 2008 Applications of catastrophe theory to the physical sciences. Zbl 1194.00017Stewart, Ian 8 1981 Analysis of homeostatic mechanisms in biochemical networks. Zbl 1382.92131Reed, Michael; Best, Janet; Golubitsky, Martin; Stewart, Ian; Nijhout, H. Frederik 8 2017 Hopf-steady-state mode interactions with O(2) symmetry. Zbl 0826.34036Hill, Andrew; Stewart, Ian 8 1991 Bifurcations on hemispheres. Zbl 0791.35044Field, M.; Golubitsky, M.; Stewart, I. 8 1991 Symmetry groupoids and admissible vector fields for coupled cell networks. Zbl 1049.37009Dias, Ana Paula S.; Stewart, Ian 8 2004 Periodic dynamics of coupled cell networks. I. Rigid patterns of synchrony and phase relations. Zbl 1162.37312Stewart, Ian; Parker, Martyn 8 2007 Spatiotemporal symmetries in the disynaptic canal-neck projection. Zbl 1129.92015Golubitsky, Martin; Shiau, Liejune; Stewart, Ian 8 2007 Lie algebras. Zbl 0213.04201Stewart, I. 7 1970 Structure theorems for a class of locally finite Lie algebras. Zbl 0225.17005Stewart, Ian 7 1972 Patterns of oscillation in coupled cell systems. Zbl 1017.37045Golubitsky, Martin; Stewart, Ian 7 2002 Symmetry-breaking as an origin of species. Zbl 1041.92020Stewart, Ian; Elmhirst, Toby; Cohen, Jack 7 2003 Tensorial extensions of central simple algebras. Zbl 0255.17002Stewart, Ian 7 1973 Symmetry and synchrony in coupled cell networks. III. Exotic patterns. Zbl 1143.37302Antoneli, Fernando; Stewart, Ian 6 2008 Phase space reconstruction for symmetric dynamical systems. Zbl 1194.37133King, G. P.; Stewart, Ian 6 1992 Detecting the symmetry of attractors for six oscillators coupled in a ring. Zbl 0885.58077Kroon, Michel; Stewart, Ian 6 1995 Complex analysis. The hitchhiker’s guide to the plane. Zbl 0501.30001Stewart, Ian; Tall, David 6 1983 Coupled cells: Wreath products and direct products. Zbl 0810.34028Golubitsky, Martin; Stewart, Ian; Dionne, Benoit 6 1994 Hopf bifurcations on generalized rectangles with Neumann boundary conditions. Zbl 0815.58026Gomes, Gabriela; Stewart, Ian 6 1994 Secondary bifurcations in systems with all-to-all coupling. Zbl 1057.34031Dias, Ana Paula S.; Stewart, Ian 6 2003 Galois theory. 4th revised ed. Zbl 1322.12001Stewart, Ian 6 2015 Symmetry methods in collisionless many-body problems. Zbl 0871.58047Stewart, I. 6 1996 Exotic patterns of synchrony in planar lattice networks. Zbl 1412.34168Stewart, Ian 6 2019 Homeostasis in a feed forward loop gene regulatory motif. Zbl 1397.92179Antoneli, Fernando; Golubitsky, Martin; Stewart, Ian 6 2018 Conjugacy theorems for a class of locally finite Lie algebras. Zbl 0303.17006Stewart, Ian 6 1975 Forced symmetry-breaking of square lattice planforms. Zbl 1096.37027Parker, M. J.; Gomes, M. G. M.; Stewart, I. N. 5 2006 A property of locally finite Lie algebras. Zbl 0211.05501Stewart, I. N. 5 1971 Bounds for the dimensions of certain Lie algebras. Zbl 0214.05102Stewart, I. 5 1971 Finite rings with a specified group of units. Zbl 0224.16011Stewart, Ian 5 1972 Spirals in scalar reaction-diffusion equations. Zbl 0886.58102Dellnitz, Michael; Golubitsky, Martin; Hohmann, Andreas; Stewart, Ian 5 1995 Symmetry and pattern formation in coupled cell networks. Zbl 0987.37041Golubitsky, Martin; Stewart, Ian 5 1999 Coordinate changes for network dynamics. Zbl 1362.37051Golubitsky, Martin; Stewart, Ian 5 2017 Rigid patterns of synchrony for equilibria and periodic cycles in network dynamics. Zbl 1382.92023Golubitsky, Martin; Stewart, Ian 5 2016 Homeostasis with multiple inputs. Zbl 1395.92067Golubitsky, Martin; Stewart, Ian 5 2018 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 4 2005 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 Algebraic path formulation for equivariant bifurcation problems. Zbl 0920.58018Furter, Jacques-Elie; Sitta, Angela Maria; Stewart, Ian 4 1998 Spontaneous symmetry-breaking in a network model for quadruped locomotion. Zbl 1382.34036Stewart, Ian 4 2017 Stability of periodic solutions in symmetric Hopf bifurcation. Zbl 0666.58032Stewart, Ian 4 1987 Polyominoes of order 3 do not exist. Zbl 0788.05021Stewart, I. N.; Wormstein, A. 4 1992 Symmetries of quotient networks for doubly periodic patterns on the square lattice. Zbl 1439.34021Stewart, Ian; Gökaydin, Dinis 4 2019 Symmetry-breaking in a rate model for a biped locomotion central pattern generator. Zbl 1352.92019Stewart, Ian 4 2014 Bifurcations on fully inhomogeneous networks. Zbl 1443.34039Gandhi, Punit; Golubitsky, Martin; Postlethwaite, Claire; Stewart, Ian; Wang, Yangyang 3 2020 Symmetries of quotient networks for doubly periodic patterns on the hexagonal lattice. Zbl 1442.37056Stewart, Ian; Gökaydin, Dinis 2 2020 Overdetermined constraints and rigid synchrony patterns for network equilibria. Zbl 1468.34049Stewart, Ian 1 2020 Exotic patterns of synchrony in planar lattice networks. Zbl 1412.34168Stewart, Ian 6 2019 Symmetries of quotient networks for doubly periodic patterns on the square lattice. Zbl 1439.34021Stewart, Ian; Gökaydin, Dinis 4 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 6 2018 Homeostasis with multiple inputs. Zbl 1395.92067Golubitsky, Martin; Stewart, Ian 5 2018 The Tower of Hanoi – myths and maths. With a foreword by Ian Stewart. 2nd edition. Zbl 1387.00002Hinz, Andreas M.; Klavžar, Sandi; Petr, Ciril 4 2018 Homeostasis, singularities, and networks. Zbl 1369.92040Golubitsky, Martin; Stewart, Ian 13 2017 Analysis of homeostatic mechanisms in biochemical networks. Zbl 1382.92131Reed, Michael; Best, Janet; Golubitsky, Martin; Stewart, Ian; Nijhout, H. Frederik 8 2017 Coordinate changes for network dynamics. Zbl 1362.37051Golubitsky, Martin; Stewart, Ian 5 2017 Spontaneous symmetry-breaking in a network model for quadruped locomotion. Zbl 1382.34036Stewart, Ian 4 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 5 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 6 2015 The foundations of mathematics. 2nd ed. Zbl 1326.00008Stewart, Ian; Tall, David 1 2015 Symmetry methods in mathematical biology. Zbl 1346.92011Golubitsky, Martin; Stewart, Ian 1 2015 Symmetry-breaking in a rate model for a biped locomotion central pattern generator. Zbl 1352.92019Stewart, Ian 4 2014 Synchrony-breaking bifurcation at a simple real eigenvalue for regular networks 2: higher-dimensional cells. Zbl 1347.37042Stewart, Ian 2 2014 The life and work of George Boole. A prelude to the digital age. With a foreword by Ian Stewart. 2nd edition. Zbl 1329.01007MacHale, Desmond 2 2014 Four colors suffice. How the map problem was solved. With a foreword by Ian Stewart. Revised color edition. Zbl 1309.05002Wilson, Robin 1 2014 The Tower of Hanoi – myths and maths. With a foreword by Ian Stewart. Zbl 1285.00003Hinz, Andreas M.; Klavžar, Sandi; Milutinović, Uroš; Petr, Ciril 32 2013 Symmetry. A very short introduction. Zbl 1292.00003Stewart, Ian 1 2013 Glimpses of Benoît B. Mandelbrot (1924–2010). Zbl 1284.01047Stewart, Ian; Mumford, David; Falconer, Kenneth; Eglash, Ron; Brothers, Harlan; Lesmoir-Gordon, Nigel; Barrallo, Javier; Berry, Michael; Frame, Michael 1 2012 The influence of Benoît B. Mandelbrot on mathematics. Zbl 1284.01048Stewart, 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 Synchrony-breaking bifurcation at a simple real eigenvalue for regular networks 1:1-dimensional cells. Zbl 1235.37011Stewart, Ian; Golubitsky, Martin 12 2011 Phase oscillators with sinusoidal coupling interpreted in terms of projective geometry. Zbl 1248.34045Stewart, Ian 4 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 9 2008 Symmetry and synchrony in coupled cell networks. III. Exotic patterns. Zbl 1143.37302Antoneli, Fernando; Stewart, Ian 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 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 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 Why beauty is truth. A history of symmetry. Transl. from the English by Thomas Filk. (Die Macht der Symmetrie. Warum Schönheit Wahrheit ist.) Zbl 1156.00001Stewart, Ian 1 2008 The lattice of balanced equivalence relations of a coupled cell network. Zbl 1120.37003Stewart, Ian 25 2007 Symmetry and synchrony in couples cell networks. II: Group networks. Zbl 1141.37392Antoneli, Fernando; Stewart, Ian 11 2007 Periodic dynamics of coupled cell networks. I. Rigid patterns of synchrony and phase relations. Zbl 1162.37312Stewart, Ian; Parker, Martyn 8 2007 Spatiotemporal symmetries in the disynaptic canal-neck projection. Zbl 1129.92015Golubitsky, Martin; Shiau, Liejune; Stewart, Ian 8 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 114 2006 Symmetry and synchrony in coupled cell networks. I: Fixed-point spaces. Zbl 1145.37019Antoneli, Fernando; Stewart, Ian 19 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 109 2005 Linear equivalence and ODE-equivalence for coupled cell networks. Zbl 1079.37010Dias, Ana Paula S.; Stewart, Ian 15 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 4 2005 Some curious phenomena in coupled cell networks. Zbl 1136.37359Golubitsky, M.; Nicol, M.; Stewart, I. 36 2004 Interior symmetry and local bifurcation in coupled cell networks. Zbl 1067.37066Golubitsky, M.; Pivato, M.; Stewart, I. 16 2004 Cogwheels of the mind. The story of Venn diagrams. Foreword by Ian Stewart. Zbl 1056.01001Edwards, A. W. F. 13 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 111 2003 Symmetry-breaking as an origin of species. Zbl 1041.92020Stewart, Ian; Elmhirst, Toby; Cohen, Jack 7 2003 Secondary bifurcations in systems with all-to-all coupling. Zbl 1057.34031Dias, Ana Paula S.; Stewart, Ian 6 2003 Speciation: A case study in symmetric bifurcation theory. Zbl 1065.37038Stewart, Ian 3 2003 Flatterland. Like Flatland, only more so. (Flacherland. Die unglaubliche Reise der Vikki Line durch Raum und Zeit. Aus dem Englischen von Thomas Filk.) 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 111 2002 Algebraic number theory and Fermat’s last theorem. Revised 3rd ed. Zbl 0994.11001Stewart, Ian; Tall, David 18 2002 Patterns of oscillation in coupled cell systems. Zbl 1017.37045Golubitsky, Martin; Stewart, Ian 7 2002 Flatterland. Like Flatland, only more so. Zbl 0997.00004Stewart, Ian 1 2002 The annotated Flatland: a romance of many dimensions. With an introduction and notes by Ian Stewart. Zbl 1009.01016Abbott, Edwin A. 1 2002 Does God play dice? The new mathematics of chaos. 2nd ed. Zbl 1031.00002Stewart, Ian 1 2002 Target patterns and spirals in planar reaction-diffusion systems. Zbl 0965.35084Golubitsky, M.; Knobloch, E.; Stewart, I. 12 2000 Invariant theory for wreath product groups. Zbl 0972.13006Dias, Ana Paula S.; Stewart, Ian 3 2000 The classification of bifurcations with hidden symmetries. Zbl 1025.37029Manoel, Míriam; Stewart, Ian 2 2000 Hilbert series for equivariant mappings restricted to invariant hyperplanes. Zbl 0974.13002Stewart, Ian; Dias, Ana Paula S. 2 2000 Heteroclinic cycles and wreath product symmetries. Zbl 0972.37031Dias, Ana Paula S.; Dionne, Benoit; 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. 40 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 Symmetry of generic bifurcations in cubic domains. Zbl 0889.35012Gomes, M. Gabriela M.; Stewart, Ian 1 1997 Symmetric \(\omega\)-limit sets of smooth \(\Gamma\)-equivariant dynamical systems with \(\Gamma^0\) Abelian. Zbl 0908.58044Melbourne, Ian; Stewart, Ian 1 1997 From attractor to chaotic saddle: A tale of transverse instability. Zbl 0887.58034Ashwin, Peter; Buescu, Jorge; Stewart, Ian 99 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 Singularity theory and equivariant bifurcation problems with parameter symmetry. Zbl 0866.58021Furter, Jacques-Élie; Sitta, Angela Maria; Stewart, Ian 4 1996 Hidden symmetries and pattern formation in Lapwood convection. Zbl 0869.35077Impey, Michael; Roberts, Mark; 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 28 1995 The constrained Liapunov-Schmidt procedure and periodic orbits. Zbl 0833.58014Golubitsky, Martin; Marsden, Jerrold E.; Stewart, Ian; Dellnitz, Michael 19 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 6 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. (Spielt Gott Roulette? Uhrwerk oder Chaos. Aus dem Engl. von Gisela Menzel.) 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 ...and 93 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,265 Authors 78 Stewart, Ian Nicholas 43 Golubitsky, Martin A. 26 Guo, Shangjiang 25 Ashwin, Peter 21 Dias, Ana Paula S. 15 Buono, Pietro-Luciano 14 Aguiar, Manuela A. D. 14 Krawcewicz, Wieslaw Z. 12 Knobloch, Edgar 12 Lamb, Jeroen S. W. 12 Melbourne, Ian 11 Chossat, Pascal 11 Dangelmayr, Gerhard 11 Gaeta, Giuseppe 11 Marsden, Jerrold Eldon 11 Zhang, Chunrui 10 Balanov, Zalman I. 10 Ikeda, Kiyohiro 10 Palacios, Antonio 9 Amayo, Ralph K. 9 Antoneli, Fernando jun. 9 Wu, Jianhong 8 Broer, Henk W. 8 Chen, Tianping 8 Dellnitz, Michael 8 Healey, Timothy J. 8 Horikawa, Yo 8 Lauterbach, Reiner 8 Pinto, Carla M. A. 8 Roberts, Richard Mark 7 Aston, Philip J. 7 Bischi, Gian-Italo 7 Bridges, Thomas J. 7 Lu, Wenlian 7 Maistrenko, Yuri L. 7 Sanders, Jan A. 7 Steele, Timothy H. 7 Wallace, Rodrick 7 Yanchuk, Sergiĭ Volodymyrovych 7 Zhang, Weinian 7 Zheng, Baodong 6 Aldosray, Falih A. M. 6 Field, Michael J. 6 Gardini, Laura 6 Grebogi, Celso 6 Holmes, Philip J. 6 Janeczko, Stanisław 6 Kielhöfer, Hansjörg 6 Kitajima, Hiroyuki 6 Krupa, Martin 6 Labouriau, Isabel S. 6 Li, Zhaoxiang 6 Maier-Paape, Stanislaus 6 Manoel, Miriam 6 Nijholt, Eddie 6 Pecora, Louis M. 6 Puu, Tönu 6 Renardy, Yuriko Yamamuro 6 Rink, Bob W. 5 Bressloff, Paul C. 5 Carroll, Thomas L. 5 Chan, Bernard S. 5 Collins, James J. 5 Crawford, John David 5 Domokos, Gábor 5 El Naschie, Mohamed Saladin 5 García-Azpeitia, Carlos 5 Gatermann, Karin 5 Gomes, M. Gabriela M. 5 In, Visarath 5 Langford, William F. 5 Marques, Francisco 5 Mei, Zhen 5 Moehlis, Jeff 5 Montaldi, James A. 5 Murza, Adrian Calin 5 Nicol, Matthew 5 Nijmeijer, Henk 5 Ratiu, Tudor Stefan 5 Riley, David Michael 5 Rucklidge, Alastair M. 5 Soares, Pedro A. jun. 5 Steur, Erik 5 Swift, James W. 5 Takayama, Yuki 5 Troger, Hans 5 Wulff, Claudia 5 Zhu, Changrong 4 Aizawa, Hiroki 4 Bahturin, Yuri 4 Belykh, Igor V. 4 Bick, Christian 4 Blyuss, Konstantin B. 4 Cantin, Guillaume 4 Chen, Yushu 4 Chillingworth, David R. 4 Cicogna, Giampaolo 4 Desroches, Mathieu 4 Dias, Frédéric 4 Furter, Jacques-Elie ...and 2,165 more Authors all top 5 Cited in 384 Serials 133 Physica D 109 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 68 Chaos 44 Journal of Nonlinear Science 34 Chaos, Solitons and Fractals 33 SIAM Journal on Applied Dynamical Systems 25 Journal of Fluid Mechanics 25 Journal of Algebra 25 Dynamics and Stability of Systems 24 Journal of Differential Equations 23 Nonlinear Dynamics 21 Biological Cybernetics 21 Journal of Dynamics and Differential Equations 20 Communications in Nonlinear Science and Numerical Simulation 20 Dynamical Systems 19 Archive for Rational Mechanics and Analysis 19 Bulletin of Mathematical Biology 17 Mathematical Proceedings of the Cambridge Philosophical Society 16 Journal of Mathematical Biology 15 ZAMP. Zeitschrift für angewandte Mathematik und Physik 15 Compositio Mathematica 14 Transactions of the American Mathematical Society 13 Proceedings of the American Mathematical Society 12 Journal of Computational and Applied Mathematics 12 Nonlinear Analysis. Theory, Methods & Applications 11 Applied Mathematics and Computation 10 Communications in Algebra 10 Journal of Mathematical Analysis and Applications 10 Journal of Statistical Physics 10 Nonlinearity 10 The Mathematical Intelligencer 10 Topology and its Applications 10 Acta Applicandae Mathematicae 10 Journal of Theoretical Biology 9 Archiv der Mathematik 9 Applied Mathematics and Mechanics. (English Edition) 9 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 9 Journal of Difference Equations and Applications 8 Acta Mechanica 8 Bulletin of the Australian Mathematical Society 8 Computers & Mathematics with Applications 8 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 8 Journal of Pure and Applied Algebra 8 Nonlinear Analysis. Real World Applications 7 Computer Methods in Applied Mechanics and Engineering 7 Journal of Mathematical Physics 7 Mathematical Biosciences 7 Mathematical Notes 7 Physics Letters. A 7 Manuscripta Mathematica 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 International Journal of Systems Science 6 Israel Journal of Mathematics 6 Letters in Mathematical Physics 6 Advances in Mathematics 6 Automatica 6 Journal of Soviet Mathematics 6 Journal of Economic Dynamics & Control 6 Mathematical and Computer Modelling 6 Annals of Physics 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 International Journal of Engineering Science 5 Journal of Computational Physics 5 Physics Reports 5 Rocky Mountain Journal of Mathematics 5 Computing 5 International Journal for Numerical Methods in Engineering 5 Mathematics and Computers in Simulation 5 Mathematische Zeitschrift 5 Studies in Applied Mathematics 5 Journal of Symbolic Computation 5 Applied Mathematical Modelling 5 Journal of Elasticity 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 Nuclear Physics. B 4 Mathematics of Computation 4 Journal of Geometry and Physics 4 Journal of Functional Analysis 4 Journal of Mathematical Psychology 4 Neural Computation 4 Linear Algebra and its Applications 4 Applicable Algebra in Engineering, Communication and Computing 3 American Mathematical Monthly 3 International Journal of General Systems 3 Journal of the Mechanics and Physics of Solids ...and 284 more Serials all top 5 Cited in 61 Fields 591 Dynamical systems and ergodic theory (37-XX) 433 Ordinary differential equations (34-XX) 254 Biology and other natural sciences (92-XX) 176 Partial differential equations (35-XX) 145 Global analysis, analysis on manifolds (58-XX) 131 Fluid mechanics (76-XX) 105 Mechanics of deformable solids (74-XX) 103 Nonassociative rings and algebras (17-XX) 98 Mechanics of particles and systems (70-XX) 76 Systems theory; control (93-XX) 73 Group theory and generalizations (20-XX) 73 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 65 Numerical analysis (65-XX) 59 Computer science (68-XX) 58 Combinatorics (05-XX) 41 Statistical mechanics, structure of matter (82-XX) 37 Number theory (11-XX) 36 Quantum theory (81-XX) 35 Associative rings and algebras (16-XX) 33 Optics, electromagnetic theory (78-XX) 32 Differential geometry (53-XX) 32 Information and communication theory, circuits (94-XX) 31 Operator theory (47-XX) 31 Operations research, mathematical programming (90-XX) 22 Probability theory and stochastic processes (60-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 21 Difference and functional equations (39-XX) 19 General topology (54-XX) 17 History and biography (01-XX) 17 Commutative algebra (13-XX) 17 Geometry (51-XX) 17 Convex and discrete geometry (52-XX) 16 Topological groups, Lie groups (22-XX) 16 Manifolds and cell complexes (57-XX) 16 Relativity and gravitational theory (83-XX) 15 General and overarching topics; collections (00-XX) 15 Algebraic geometry (14-XX) 14 Mathematical logic and foundations (03-XX) 13 Measure and integration (28-XX) 13 Statistics (62-XX) 11 Field theory and polynomials (12-XX) 11 Functional analysis (46-XX) 11 Classical thermodynamics, heat transfer (80-XX) 10 Real functions (26-XX) 10 Several complex variables and analytic spaces (32-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 Geophysics (86-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 Algebraic topology (55-XX) 4 Special functions (33-XX) 4 Integral equations (45-XX) 4 Astronomy and astrophysics (85-XX) 3 Category theory; homological algebra (18-XX) 3 Mathematics education (97-XX) 2 Functions of a complex variable (30-XX) 1 \(K\)-theory (19-XX) 1 Sequences, series, summability (40-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. Updates and corrections should be made in Wikidata.