Edit Profile (opens in new tab) Stewart, Ian Nicholas Co-Author Distance Author ID: stewart.ian-n Published as: Stewart, Ian; Stewart, I.; Stewart, I. N.; Stewart, Ian N.; Wormstein, A. more...less Homepage: http://ianstewartjoat.weebly.com/ External Links: MGP · Wikidata · Twitter · dblp · GND · IdRef · theses.fr Documents Indexed: 282 Publications since 1969, including 81 Books and 5 Additional arXiv Preprints 3 Contributions as Editor · 14 Further Contributions Co-Authors: 91 Co-Authors with 140 Joint Publications 1,942 Co-Co-Authors all top 5 Co-Authors 139 single-authored 42 Golubitsky, Martin A. 12 Dias, Ana Paula S. 8 Tall, David 7 Aldosray, Falih A. M. 7 Antoneli, Fernando jun. 7 Gomes, M. Gabriela M. 7 Roberts, Richard Mark 6 Dionne, Benoit 5 Ashwin, Peter 5 Buescu, Jorge 5 Collins, James J. 5 Poston, Timothy 4 Montaldi, James 4 Parker, M. J. 3 Amayo, Ralph K. 3 Dangelmayr, Gerhard 3 Parker, Martyn 2 Abbott, Edwin Abbott 2 Aguiar, Manuela A. D. 2 Barnsley, Michael Fielding 2 Berry, Michael 2 Best, Janet A. 2 Buono, Pietro-Luciano 2 Chossat, Pascal 2 Cohen, Jack K. 2 Dellnitz, Michael 2 Elmhirst, Toby 2 Falconer, Kenneth J. 2 Frame, Michael Lee 2 Furter, Jacques-Elie 2 Gökaydin, Dinis 2 Hinz, Andreas M. 2 Klavžar, Sandi 2 Knobloch, Edgar 2 Lesmoir-Gordon, Nigel 2 Mankiewicz, Richard 2 Manoel, Miriam 2 Marsden, Jerrold Eldon 2 Mumford, David Bryant 2 Nicol, Matthew 2 Nijhout, H. Frederik 2 Petr, Ciril 2 Pivato, Marcus 2 Sitta, Angela Maria 2 Wang, Yangyang 1 Angell, David F. 1 Backhouse, Nigel B. 1 Barrallo, Javier 1 Bayliss, Mike 1 Beck, Robert E. 1 Belinfante, Johan Gijsbertus Frederik 1 Bizyaeva, Anastasia 1 Boldi, Paolo 1 Brazier, George 1 Britz, Thomas 1 Brothers, Harlan J. 1 Burdette, Tibor 1 Burge, Tyler 1 Chaitin, Gregory John 1 Cohen, Nathan 1 Conatser, C. W. 1 Coppens, Marc-Olivier 1 Crawford, John David 1 Dennett, Daniel C. 1 Doebeli, Michael 1 Doria, Francisco Antonio 1 Drukker, Mark 1 Duncan, William 1 Edwards, Anthony W. F. 1 Eglash, Ron 1 Field, Michael J. 1 Føllesdal, Dagfinn 1 Franci, Alessio 1 Furstenberg, Hillel 1 Gandhi, Punit 1 Gardner, Martin 1 Gomes, Gabriela 1 Haaf, Hermann 1 Hentzel, Irvin Roy 1 Hinton, Charles 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 Jin, Jiaxin 1 Jones, Robin 1 King, Greg 1 King, Gregory P. 1 Kleinfeld, Erwin 1 Kolman, Bernard 1 Kroon, Michel 1 Krupa, Martin 1 Kulczycki, Marcin 1 Leonard, Naomi Ehrich 1 Luks, Eugene M. ...and 33 more Co-Authors all top 5 Serials 21 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 9 Nonlinearity 9 SIAM Journal on Applied Dynamical Systems 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 5 Archiv der Mathematik 5 Hiroshima Mathematical Journal 5 Physica D 4 Mathematics Today (Southend-on-Sea) 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 American Mathematical Monthly 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 Research Notes in Mathematics (San Francisco) 2 Very Short Introductions 1 Archive for History of Exact Sciences 1 Archive for Rational Mechanics and Analysis 1 Mathematical Biosciences 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 Surveys and Reference Works in Mathematics 1 The College Mathematics Journal 1 São Paulo Journal of Mathematical Sciences 1 Journal of Singularities 1 Wiadomości Matematyczne 1 Symmetry 1 Journal of Theoretical Biology 1 Other Titles in Applied Mathematics 1 The Frontiers Collection 1 Princeton Science Library 1 Portugaliae Mathematica 1 AK Peters/CRC Recreational Mathematics Series all top 5 Fields 104 Dynamical systems and ergodic theory (37-XX) 81 General and overarching topics; collections (00-XX) 58 Ordinary differential equations (34-XX) 36 History and biography (01-XX) 36 Nonassociative rings and algebras (17-XX) 33 Biology and other natural sciences (92-XX) 30 Global analysis, analysis on manifolds (58-XX) 21 Group theory and generalizations (20-XX) 19 Combinatorics (05-XX) 15 Mathematics education (97-XX) 12 Partial differential equations (35-XX) 9 Number theory (11-XX) 9 Mechanics of particles and systems (70-XX) 7 Information and communication theory, circuits (94-XX) 6 Field theory and polynomials (12-XX) 5 Associative rings and algebras (16-XX) 5 Computer science (68-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Geometry (51-XX) 4 Fluid mechanics (76-XX) 4 Operations research, mathematical programming (90-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 Manifolds and cell complexes (57-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Relativity and gravitational theory (83-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 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 220 Publications have been cited 3,703 times in 2,285 Documents Cited by ▼ Year ▼ Singularities and groups in bifurcation theory. Volume II. Zbl 0691.58003 Golubitsky, Martin; Stewart, Ian; Schaeffer, David G. 708 1988 Catastrophe theory and its applications. Zbl 0382.58006 Poston, Tim; Stewart, Ian 323 1978 The symmetry perspective. From equilibrium to chaos in phase space and physical space. Zbl 1031.37001 Golubitsky, Martin; Stewart, Ian 171 2002 Nonlinear dynamics of networks: the groupoid formalism. Zbl 1119.37036 Golubitsky, Martin; Stewart, Ian 145 2006 Symmetry groupoids and patterns of synchrony in coupled cell networks. Zbl 1089.34032 Stewart, Ian; Golubitsky, Martin; Pivato, Marcus 143 2003 Patterns of synchrony in coupled cell networks with multiple arrows. Zbl 1090.34030 Golubitsky, Martin; Stewart, Ian; Török, Andrei 135 2005 From attractor to chaotic saddle: A tale of transverse instability. Zbl 0887.58034 Ashwin, Peter; Buescu, Jorge; Stewart, Ian 129 1996 Hopf bifurcation in the presence of symmetry. Zbl 0588.34030 Golubitsky, Martin; Stewart, Ian 109 1985 Bubbling of attractors and synchronisation of chaotic oscillators. Zbl 0959.37508 Ashwin, Peter; Buescu, Jorge; Stewart, Ian 102 1994 Coupled nonlinear oscillators and the symmetries of animal gaits. Zbl 0808.92012 Collins, J. J.; Stewart, I. N. 87 1993 Infinite-dimensional Lie algebras. Zbl 0302.17006 Amayo, Ralph K.; Stewart, Ian 66 1974 The Tower of Hanoi – myths and maths. With a foreword by Ian Stewart. Zbl 1285.00003 Hinz, Andreas M.; Klavžar, Sandi; Milutinović, Uroš; Petr, Ciril 52 2013 A modular network for legged locomotion. Zbl 1039.92009 Golubitsky, Martin; Stewart, Ian; Buono, Pietro-Luciano; Collins, J. J. 45 1998 Periodic solutions near equilibria of symmetric Hamiltonian systems. Zbl 0671.58034 Montaldi, J. A.; Roberts, R. M.; Stewart, I. N. 45 1988 Some curious phenomena in coupled cell networks. Zbl 1136.37359 Golubitsky, M.; Nicol, M.; Stewart, I. 44 2004 Hopf bifurcation with dihedral group symmetry: coupled nonlinear oscillators. Zbl 0602.58038 Golubitsky, Martin; Stewart, Ian 39 1986 A group-theoretic approach to rings of coupled biological oscillators. Zbl 0804.92009 Collins, J. J.; Stewart, I. 36 1994 Liapunov stability and adding machines. Zbl 0848.54027 Buescu, Jorge; Stewart, Ian 36 1995 Algebraic number theory. 2nd ed. Zbl 0663.12001 Stewart, Ian; Tall, David 35 1987 Symmetry and stability in Taylor-Couette flow. Zbl 0603.76053 Golubitsky, Martin; Stewart, Ian 34 1986 Hexapodal gaits and coupled nonlinear oscillator models. Zbl 0767.92015 Collins, J. J.; Stewart, Ian 34 1993 Coupled cells with internal symmetry. I: Wreath products. Zbl 0894.58049 Dionne, Benoit; Golubitsky, Martin; Stewart, Ian 34 1996 The lattice of balanced equivalence relations of a coupled cell network. Zbl 1120.37003 Stewart, Ian 31 2007 Algebraic number theory. Zbl 0413.12001 Stewart, Ian; Tall, David 30 1979 Existence of nonlinear normal modes of symmetric Hamiltonian systems. Zbl 0711.58011 Montaldi, James; Roberts, Mark; Stewart, Ian 30 1990 Generic bifurcation of Hamiltonian systems with symmetry. With an appendix by Jerrold Marsden. Zbl 0612.58013 Golubitsky, Martin; Stewart, Ian 29 1987 Symmetry and synchrony in coupled cell networks. I: Fixed-point spaces. Zbl 1145.37019 Antoneli, Fernando; Stewart, Ian 25 2006 Boundary conditions as symmetry constraints. Zbl 0735.35007 Crawford, J. D.; Golubitsky, M.; Gomes, M. G. M.; Knobloch, E.; Stewart, I. N. 24 1991 Coupled cells with internal symmetry. II: Direct products. Zbl 0894.58050 Dionne, Benoit; Golubitsky, Martin; Stewart, Ian 23 1996 Algebraic number theory and Fermat’s last theorem. Revised 3rd ed. Zbl 0994.11001 Stewart, Ian; Tall, David 22 2002 Homeostasis, singularities, and networks. Zbl 1369.92040 Golubitsky, Martin; Stewart, Ian 21 2017 Linear equivalence and ODE-equivalence for coupled cell networks. Zbl 1079.37010 Dias, Ana Paula S.; Stewart, Ian 21 2005 Fearful symmetry: is God a geometer? Zbl 0931.00014 Stewart, Ian; Golubitsky, Martin 20 1992 The constrained Liapunov-Schmidt procedure and periodic orbits. Zbl 0833.58014 Golubitsky, Martin; Marsden, Jerrold E.; Stewart, Ian; Dellnitz, Michael 20 1995 Galois theory. 3rd ed. Zbl 1049.12001 Stewart, Ian 17 2004 The Tower of Hanoi – myths and maths. With a foreword by Ian Stewart. 2nd edition. Zbl 1387.00002 Hinz, Andreas M.; Klavžar, Sandi; Petr, Ciril 17 2018 Interior symmetry and local bifurcation in coupled cell networks. Zbl 1067.37066 Golubitsky, M.; Pivato, M.; Stewart, I. 17 2004 Galois theory. Zbl 0269.12104 Stewart, Ian 16 1973 Cogwheels of the mind. The story of Venn diagrams. Foreword by Ian Stewart. Zbl 1056.01001 Edwards, A. W. F. 16 2004 Steady PDEs on generalized rectangles: A change of genericity in mode interactions. Zbl 0836.35018 Gomes, M. G. M.; Stewart, I. N. 16 1994 Catastrophe theory and its applications. (Teoriya katastrof i ee prilozheniya). Transl from the English. Zbl 0548.58007 Poston, Tim; Stewart, Ian 15 1980 Galois theory. 2nd ed. Zbl 0694.12001 Stewart, Ian 15 1989 Stability of nonlinear normal modes of symmetric Hamiltonian systems. Zbl 0703.58019 Montaldi, James; Roberts, Mark; Stewart, Ian 15 1990 Synchrony-breaking bifurcation at a simple real eigenvalue for regular networks 1:1-dimensional cells. Zbl 1235.37011 Stewart, Ian; Golubitsky, Martin 15 2011 Analysis of homeostatic mechanisms in biochemical networks. Zbl 1382.92131 Reed, Michael; Best, Janet; Golubitsky, Martin; Stewart, Ian; Nijhout, H. Frederik 15 2017 Lie algebras. Zbl 0213.04201 Stewart, I. 15 1970 An algebraic treatment of Mal’cev’s theorems concerning nilpotent Lie groups and their Lie algebras. Zbl 0204.35903 Stewart, I. N. 15 1970 The minimal condition for subideals of Lie algebras. Zbl 0179.33203 Stewart, I. N. 15 1969 Does God play dice? The mathematics of chaos. Zbl 0717.00001 Stewart, Ian 14 1989 Homeostasis with multiple inputs. Zbl 1395.92067 Golubitsky, Martin; Stewart, Ian 14 2018 Lie algebras generated by finite-dimensional ideals. Zbl 0325.17002 Stewart, I. 13 1975 Symmetry and synchrony in couples cell networks. II: Group networks. Zbl 1141.37392 Antoneli, Fernando; Stewart, Ian 13 2007 Homeostasis in a feed forward loop gene regulatory motif. Zbl 1397.92179 Antoneli, Fernando; Golubitsky, Martin; Stewart, Ian 13 2018 Symmetry-breaking as an origin of species. Zbl 1041.92020 Stewart, Ian; Elmhirst, Toby; Cohen, Jack 13 2003 Four encounters with Sierpiński’s gasket. Zbl 0814.28002 Stewart, Ian 13 1995 Bounded solutions for non-autonomous parabolic equations. Zbl 0857.34065 Zhang, Weinian; Stewart, Ian 13 1996 Target patterns and spirals in planar reaction-diffusion systems. Zbl 0965.35084 Golubitsky, M.; Knobloch, E.; Stewart, I. 13 2000 Infinite-dimensional Lie algebras in the spirit of infinite group theory. Zbl 0204.36001 Stewart, I. N. 13 1970 Symmetry-breaking bifurcation: A possible mechanism for 2:1 frequency- locking in animal locomotion. Zbl 0757.92011 Collins, J. J.; Stewart, I. N. 12 1992 Taylor expansions and catastrophes. Zbl 0335.58008 Poston, T.; Stewart, I. N. 12 1976 Galois theory. 4th revised ed. Zbl 1322.12001 Stewart, Ian 12 2015 Algebraic number theory and Fermat’s last theorem. 4th edition. Zbl 1332.11001 Stewart, Ian; Tall, David 12 2016 Finitely generated Lie algebras. Zbl 0246.17014 Amayo, Ralph K.; Stewart, Ian 11 1972 Periodic dynamics of coupled cell networks. I. Rigid patterns of synchrony and phase relations. Zbl 1162.37312 Stewart, Ian; Parker, Martyn 11 2007 Periodic dynamics of coupled cell networks. II: Cyclic symmetry. Zbl 1162.37010 Stewart, Ian; Parker, Martyn 11 2008 Complex analysis. The hitchhiker’s guide to the plane. Zbl 0501.30001 Stewart, Ian; Tall, David 10 1983 Verbal and marginal properties of non-associative algebras. Zbl 0282.17002 Stewart, Ian 10 1974 Structure theorems for a class of locally finite Lie algebras. Zbl 0225.17005 Stewart, Ian 10 1972 Phase space reconstruction for symmetric dynamical systems. Zbl 1194.37133 King, G. P.; Stewart, Ian 10 1992 Patterns of oscillation in coupled cell systems. Zbl 1017.37045 Golubitsky, Martin; Stewart, Ian 10 2002 Symmetric chaos. Zbl 0754.58025 King, Greg; Stewart, Ian 9 1992 Rigid patterns of synchrony for equilibria and periodic cycles in network dynamics. Zbl 1382.92023 Golubitsky, Martin; Stewart, Ian 9 2016 Spatiotemporal symmetries in the disynaptic canal-neck projection. Zbl 1129.92015 Golubitsky, Martin; Shiau, Liejune; Stewart, Ian 9 2007 Symmetry groupoids and admissible vector fields for coupled cell networks. Zbl 1049.37009 Dias, Ana Paula S.; Stewart, Ian 9 2004 Dynamics and bifurcation in networks. Theory and applications of coupled differential equations. Zbl 1527.37001 Golubitsky, Martin; Stewart, Ian 9 2023 Hopf-steady-state mode interactions with O(2) symmetry. Zbl 0826.34036 Hill, Andrew; Stewart, Ian 8 1991 Tensorial extensions of central simple algebras. Zbl 0255.17002 Stewart, Ian 8 1973 Applications of catastrophe theory to the physical sciences. Zbl 1194.00017 Stewart, Ian 8 1981 Bifurcations on hemispheres. Zbl 0791.35044 Field, M.; Golubitsky, M.; Stewart, I. 8 1991 Spirals in scalar reaction-diffusion equations. Zbl 0886.58102 Dellnitz, Michael; Golubitsky, Martin; Hohmann, Andreas; Stewart, Ian 8 1995 Secondary bifurcations in systems with all-to-all coupling. Zbl 1057.34031 Dias, Ana Paula S.; Stewart, Ian 8 2003 Symmetry and synchrony in coupled cell networks. III. Exotic patterns. Zbl 1143.37302 Antoneli, Fernando; Stewart, Ian 7 2008 Symmetry-breaking in a rate model for a biped locomotion central pattern generator. Zbl 1352.92019 Stewart, Ian 7 2014 Coordinate changes for network dynamics. Zbl 1362.37051 Golubitsky, Martin; Stewart, Ian 7 2017 Exotic patterns of synchrony in planar lattice networks. Zbl 1412.34168 Stewart, Ian 7 2019 Singularity theory and equivariant bifurcation problems with parameter symmetry. Zbl 0866.58021 Furter, Jacques-Élie; Sitta, Angela Maria; Stewart, Ian 7 1996 Symmetry methods in collisionless many-body problems. Zbl 0871.58047 Stewart, I. 7 1996 Symmetry and pattern formation in coupled cell networks. Zbl 0987.37041 Golubitsky, Martin; Stewart, Ian 7 1999 Phase oscillators with sinusoidal coupling interpreted in terms of projective geometry. Zbl 1248.34045 Stewart, Ian 6 2011 Conjugacy theorems for a class of locally finite Lie algebras. Zbl 0303.17006 Stewart, Ian 6 1975 Symmetries of quotient networks for doubly periodic patterns on the square lattice. Zbl 1439.34021 Stewart, Ian; Gökaydin, Dinis 6 2019 Synchrony versus symmetry in coupled cells. Zbl 1112.34020 Golubitsky, Martin; Stewart, Ian 6 2005 Coupled cells: Wreath products and direct products. Zbl 0810.34028 Golubitsky, Martin; Stewart, Ian; Dionne, Benoit 6 1994 Hopf bifurcations on generalized rectangles with Neumann boundary conditions. Zbl 0815.58026 Gomes, Gabriela; Stewart, Ian 6 1994 Detecting the symmetry of attractors for six oscillators coupled in a ring. Zbl 0885.58077 Kroon, Michel; Stewart, Ian 6 1995 Bifurcations on fully inhomogeneous networks. Zbl 1443.34039 Gandhi, Punit; Golubitsky, Martin; Postlethwaite, Claire; Stewart, Ian; Wang, Yangyang 6 2020 Hopf bifurcation in the presence of symmetry. Zbl 0554.58045 Golubitsky, Martin; Stewart, Ian 5 1984 Finite rings with a specified group of units. Zbl 0224.16011 Stewart, Ian 5 1972 The Lie algebra of endomorphisms of an infinite-dimensional vector space. Zbl 0241.17008 Stewart, Ian 5 1972 Lyapunov stability and adding machines revisited. Zbl 1130.37328 Buescu, Jorge; Kulczycki, Marcin; Stewart, Ian 5 2006 Stable synchronous propagation of signals by feedforward networks. Zbl 1531.94013 Stewart, Ian; Wood, David 1 2024 Dynamics and bifurcation in networks. Theory and applications of coupled differential equations. Zbl 1527.37001 Golubitsky, Martin; Stewart, Ian 9 2023 Breaking indecision in multiagent, multioption dynamics. Zbl 1520.91111 Franci, Alessio; Golubitsky, Martin; Stewart, Ian; Bizyaeva, Anastasia; Leonard, Naomi E. 4 2023 Galois theory. 5th edition. Zbl 1497.12001 Stewart, Ian 1 2023 Overdetermined ODEs and rigid periodic states in network dynamics. Zbl 1511.34061 Stewart, Ian 2 2022 Right network-preserving diffeomorphisms. Zbl 1527.37042 Antoneli, Fernando; Stewart, Ian 1 2022 Balanced colorings and bifurcations in rivalry and opinion networks. Zbl 1467.91123 Stewart, Ian 1 2021 Bifurcations on fully inhomogeneous networks. Zbl 1443.34039 Gandhi, Punit; Golubitsky, Martin; Postlethwaite, Claire; Stewart, Ian; Wang, Yangyang 6 2020 Input-output networks, singularity theory, and homeostasis. Zbl 1454.37090 Golubitsky, Martin; Stewart, Ian; Antoneli, Fernando; Huang, Zhengyuan; Wang, Yangyang 4 2020 Symmetries of quotient networks for doubly periodic patterns on the hexagonal lattice. Zbl 1442.37056 Stewart, Ian; Gökaydin, Dinis 4 2020 Overdetermined constraints and rigid synchrony patterns for network equilibria. Zbl 1468.34049 Stewart, Ian 3 2020 Exotic patterns of synchrony in planar lattice networks. Zbl 1412.34168 Stewart, Ian 7 2019 Symmetries of quotient networks for doubly periodic patterns on the square lattice. Zbl 1439.34021 Stewart, Ian; Gökaydin, Dinis 6 2019 Tetrahedral chains and a curious semigroup. Zbl 1455.20028 Stewart, Ian 2 2019 Do dice play God? The mathematics of uncertainty. Zbl 1425.00013 Stewart, Ian 1 2019 The Tower of Hanoi – myths and maths. With a foreword by Ian Stewart. 2nd edition. Zbl 1387.00002 Hinz, Andreas M.; Klavžar, Sandi; Petr, Ciril 17 2018 Homeostasis with multiple inputs. Zbl 1395.92067 Golubitsky, Martin; Stewart, Ian 14 2018 Homeostasis in a feed forward loop gene regulatory motif. Zbl 1397.92179 Antoneli, Fernando; Golubitsky, Martin; Stewart, Ian 13 2018 Complex analysis. The hitchhiker’s guide to the plane. 2nd edition. Zbl 1429.30003 Stewart, Ian; Tall, David 2 2018 Clouds are not spheres. A portrait of Benoît Mandelbrot, the founding father of fractal geometry. With a foreword by Ian Stewart. Zbl 1411.01002 Lesmoir-Gordon, Nigel 1 2018 The map and the territory. Exploring the foundations of science, thought and reality. With a foreword by Sir Roger Penrose and afterword by Dagfinn Føllesdal. Zbl 1388.00015 1 2018 Homeostasis, singularities, and networks. Zbl 1369.92040 Golubitsky, Martin; Stewart, Ian 21 2017 Analysis of homeostatic mechanisms in biochemical networks. Zbl 1382.92131 Reed, Michael; Best, Janet; Golubitsky, Martin; Stewart, Ian; Nijhout, H. Frederik 15 2017 Coordinate changes for network dynamics. Zbl 1362.37051 Golubitsky, Martin; Stewart, Ian 7 2017 Spontaneous symmetry-breaking in a network model for quadruped locomotion. Zbl 1382.34036 Stewart, Ian 4 2017 Why do all triangles form a triangle? Zbl 1391.51016 Stewart, Ian 2 2017 Significant figures. The lives and work of great mathematicians. Zbl 1387.01001 Stewart, Ian 2 2017 Algebraic number theory and Fermat’s last theorem. 4th edition. Zbl 1332.11001 Stewart, Ian; Tall, David 12 2016 Rigid patterns of synchrony for equilibria and periodic cycles in network dynamics. Zbl 1382.92023 Golubitsky, Martin; Stewart, Ian 9 2016 Galois theory. 4th revised ed. Zbl 1322.12001 Stewart, Ian 12 2015 Professor Stewart’s incredible numbers. Zbl 1358.00004 Stewart, Ian 3 2015 The foundations of mathematics. 2nd ed. Zbl 1326.00008 Stewart, Ian; Tall, David 2 2015 Symmetry methods in mathematical biology. Zbl 1346.92011 Golubitsky, Martin; Stewart, Ian 1 2015 Symmetry-breaking in a rate model for a biped locomotion central pattern generator. Zbl 1352.92019 Stewart, Ian 7 2014 Synchrony-breaking bifurcation at a simple real eigenvalue for regular networks 2: higher-dimensional cells. Zbl 1347.37042 Stewart, Ian 3 2014 Four colors suffice. How the map problem was solved. With a foreword by Ian Stewart. Revised color edition. Zbl 1309.05002 Wilson, Robin 3 2014 The life and work of George Boole. A prelude to the digital age. With a foreword by Ian Stewart. 2nd edition. Zbl 1329.01007 MacHale, Desmond 2 2014 The Tower of Hanoi – myths and maths. With a foreword by Ian Stewart. Zbl 1285.00003 Hinz, Andreas M.; Klavžar, Sandi; Milutinović, Uroš; Petr, Ciril 52 2013 Symmetry. A very short introduction. Zbl 1292.00003 Stewart, Ian 2 2013 Visions of infinity. The great mathematical problems. Zbl 1273.00019 Stewart, Ian 2 2013 In pursuit of the unknown. How 17 equations changed the world. Zbl 1287.00005 Stewart, Ian 1 2012 Glimpses of Benoît B. Mandelbrot (1924–2010). Zbl 1284.01047 Stewart, 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 1284.01048 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 Synchrony-breaking bifurcation at a simple real eigenvalue for regular networks 1:1-dimensional cells. Zbl 1235.37011 Stewart, Ian; Golubitsky, Martin 15 2011 Phase oscillators with sinusoidal coupling interpreted in terms of projective geometry. Zbl 1248.34045 Stewart, Ian 6 2011 Sources of uncertainty in deterministic dynamics: an informal overview. Zbl 1239.01059 Stewart, Ian 2 2011 An optimal lifting theorem for coupled cell networks. Zbl 1248.37027 Stewart, Ian 1 2011 Mathematics of life. Unlocking the secrets of existence. Zbl 1273.00005 Stewart, Ian 1 2011 Cows in the maze. Zbl 1190.00007 Stewart, Ian 1 2010 Periodic dynamics of coupled cell networks. II: Cyclic symmetry. Zbl 1162.37010 Stewart, Ian; Parker, Martyn 11 2008 Symmetry and synchrony in coupled cell networks. III. Exotic patterns. Zbl 1143.37302 Antoneli, Fernando; Stewart, Ian 7 2008 Examples of forced symmetry-breaking to homoclinic cycles in three-dimensional Euclidean-invariant systems. Zbl 1143.37324 Parker, M. J.; Stewart, Ian; Gomes, M. G. M. 4 2008 Taming the infinite. The story of mathematics. Zbl 1493.00010 Stewart, Ian 3 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 1156.00001 Stewart, Ian 2 2008 Partial classification of heteroclinic behaviour associated with the perturbation of hexagonal planforms. Zbl 1221.37107 Parker, 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 1162.37011 Elmhirst, Toby; Stewart, Ian; Doebeli, Michael 1 2008 The annotated Flatland. A romance of many dimensions. With an introduction and notes by Ian Stewart. Paperback reprint. Zbl 1162.01014 Abbott, Edwin A. 1 2008 The lattice of balanced equivalence relations of a coupled cell network. Zbl 1120.37003 Stewart, Ian 31 2007 Symmetry and synchrony in couples cell networks. II: Group networks. Zbl 1141.37392 Antoneli, Fernando; Stewart, Ian 13 2007 Periodic dynamics of coupled cell networks. I. Rigid patterns of synchrony and phase relations. Zbl 1162.37312 Stewart, Ian; Parker, Martyn 11 2007 Spatiotemporal symmetries in the disynaptic canal-neck projection. Zbl 1129.92015 Golubitsky, Martin; Shiau, Liejune; Stewart, Ian 9 2007 Elimination of multiple arrows and self-connections in coupled cell networks. Zbl 1117.37013 Stewart, Ian 3 2007 Why beauty is truth. A history of symmetry. Zbl 1185.00003 Stewart, Ian 3 2007 Nonlinear dynamics of networks: the groupoid formalism. Zbl 1119.37036 Golubitsky, Martin; Stewart, Ian 145 2006 Symmetry and synchrony in coupled cell networks. I: Fixed-point spaces. Zbl 1145.37019 Antoneli, Fernando; Stewart, Ian 25 2006 Lyapunov stability and adding machines revisited. Zbl 1130.37328 Buescu, Jorge; Kulczycki, Marcin; Stewart, Ian 5 2006 Forced symmetry-breaking of square lattice planforms. Zbl 1096.37027 Parker, M. J.; Gomes, M. G. M.; Stewart, I. N. 5 2006 How to cut a cake. And other mathematical conundrums. Zbl 1210.00016 Stewart, Ian 2 2006 Mathematics, the media, and the public. Zbl 1130.00011 Stewart, Ian 1 2006 Letters to a young mathematician. The art of mentoring. Zbl 1100.00002 Stewart, Ian 1 2006 Patterns of synchrony in coupled cell networks with multiple arrows. Zbl 1090.34030 Golubitsky, Martin; Stewart, Ian; Török, Andrei 135 2005 Linear equivalence and ODE-equivalence for coupled cell networks. Zbl 1079.37010 Dias, Ana Paula S.; Stewart, Ian 21 2005 Synchrony versus symmetry in coupled cells. Zbl 1112.34020 Golubitsky, Martin; Stewart, Ian 6 2005 Enumeration of homogeneous coupled cell networks. Zbl 1092.05505 Aldosray, Falih; Stewart, Ian 4 2005 Some curious phenomena in coupled cell networks. Zbl 1136.37359 Golubitsky, M.; Nicol, M.; Stewart, I. 44 2004 Galois theory. 3rd ed. Zbl 1049.12001 Stewart, Ian 17 2004 Interior symmetry and local bifurcation in coupled cell networks. Zbl 1067.37066 Golubitsky, M.; Pivato, M.; Stewart, I. 17 2004 Cogwheels of the mind. The story of Venn diagrams. Foreword by Ian Stewart. Zbl 1056.01001 Edwards, A. W. F. 16 2004 Symmetry groupoids and admissible vector fields for coupled cell networks. Zbl 1049.37009 Dias, Ana Paula S.; Stewart, Ian 9 2004 Math hysteria. Fun and games with mathematics. Zbl 1053.00003 Stewart, Ian 3 2004 Symmetry groupoids and patterns of synchrony in coupled cell networks. Zbl 1089.34032 Stewart, Ian; Golubitsky, Martin; Pivato, Marcus 143 2003 Symmetry-breaking as an origin of species. Zbl 1041.92020 Stewart, Ian; Elmhirst, Toby; Cohen, Jack 13 2003 Secondary bifurcations in systems with all-to-all coupling. Zbl 1057.34031 Dias, Ana Paula S.; Stewart, Ian 8 2003 Speciation: A case study in symmetric bifurcation theory. Zbl 1065.37038 Stewart, 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 1040.00005 Stewart, Ian 1 2003 The symmetry perspective. From equilibrium to chaos in phase space and physical space. Zbl 1031.37001 Golubitsky, Martin; Stewart, Ian 171 2002 Algebraic number theory and Fermat’s last theorem. Revised 3rd ed. Zbl 0994.11001 Stewart, Ian; Tall, David 22 2002 Patterns of oscillation in coupled cell systems. Zbl 1017.37045 Golubitsky, Martin; Stewart, Ian 10 2002 Does God play dice? The new mathematics of chaos. 2nd ed. Zbl 1031.00002 Stewart, Ian 2 2002 The annotated Flatland: a romance of many dimensions. With an introduction and notes by Ian Stewart. Zbl 1009.01016 Abbott, Edwin A. 2 2002 Flatterland. Like Flatland, only more so. Zbl 0997.00004 Stewart, Ian 1 2002 Target patterns and spirals in planar reaction-diffusion systems. Zbl 0965.35084 Golubitsky, M.; Knobloch, E.; Stewart, I. 13 2000 Invariant theory for wreath product groups. Zbl 0972.13006 Dias, Ana Paula S.; Stewart, Ian 3 2000 The classification of bifurcations with hidden symmetries. Zbl 1025.37029 Manoel, Míriam; Stewart, Ian 2 2000 Hilbert series for equivariant mappings restricted to invariant hyperplanes. Zbl 0974.13002 Stewart, Ian; Dias, Ana Paula S. 2 2000 Heteroclinic cycles and wreath product symmetries. Zbl 0972.37031 Dias, Ana Paula S.; Dionne, Benoit; Stewart, Ian 2 2000 The story of mathematics. With a foreword by Ian Stewart. Zbl 0976.01002 Mankiewicz, Richard 1 2000 Symmetry and pattern formation in coupled cell networks. Zbl 0987.37041 Golubitsky, Martin; Stewart, Ian 7 1999 Symmetry-breaking bifurcations of wreath product systems. Zbl 0973.37029 Dias, A. P. S.; Stewart, I. 3 1999 Degenerate bifurcations with \(Z_2\oplus Z_2\)-symmetry. Zbl 1192.37074 Manoel, Miriam; Stewart, Ian 1 1999 ...and 120 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,084 Authors 85 Stewart, Ian Nicholas 47 Golubitsky, Martin A. 36 Guo, Shangjiang 33 Ashwin, Peter 26 Dias, Ana Paula S. 21 Krawcewicz, Wieslaw Z. 20 Aguiar, Manuela A. D. 19 Chossat, Pascal 19 Lamb, Jeroen S. W. 18 Buono, Pietro-Luciano 18 Zhang, Chunrui 17 Ikeda, Kiyohiro 17 Knobloch, Edgar 15 Palacios, Antonio 14 Melbourne, Ian 13 Balanov, Zalman I. 13 Gaeta, Giuseppe 12 Antoneli, Fernando jun. 12 Aston, Philip J. 12 Dangelmayr, Gerhard 12 Maistrenko, Yuri L. 11 Bick, Christian 11 Manoel, Miriam 11 Marsden, Jerrold Eldon 11 Podvigina, Ol’ga Mikhaĭlovna 10 Dellnitz, Michael 10 Healey, Timothy J. 10 Labouriau, Isabel S. 10 Nijholt, Eddie 10 Silber, Mary 10 Wu, Jianhong 10 Zheng, Baodong 9 Amayo, Ralph K. 9 Broer, Henk W. 9 Castro, Sofia B. S. D. 9 El Naschie, Mohamed Saladin 9 In, Visarath 9 Krupa, Martin 9 Lauterbach, Reiner 9 Pinto, Carla M. A. 9 Rink, Bob W. 9 Roberts, Richard Mark 9 Steele, Timothy H. 9 Yanchuk, Sergiĭ Volodymyrovych 8 Bischi, Gian-Italo 8 Bridges, Thomas J. 8 Chen, Tianping 8 García-Azpeitia, Carlos 8 Holmes, Philip J. 8 Horikawa, Yo 8 Olive, Marc 8 Wallace, Rodrick 8 Zhang, Weinian 7 Belykh, Igor V. 7 Cantin, Guillaume 7 Desmorat, Boris 7 Field, Michael J. 7 Gardini, Laura 7 Grebogi, Celso 7 Kapitaniak, Tomasz 7 Kolev, Boris 7 Lu, Wenlian 7 Mosekilde, Erik 7 Pecora, Louis M. 7 Sanders, Jan A. 7 Sorrentino, Francesco 7 Steur, Erik 7 Swift, James W. 6 Aldosray, Falih A. M. 6 Auffray, Nicolas 6 Belykh, Vladimir Nikolaevich 6 Chen, Yushu 6 Crawford, John David 6 Domokos, Gábor 6 Janeczko, Stanisław 6 Kielhöfer, Hansjörg 6 Kitajima, Hiroyuki 6 Kurdachenko, Leonid Andriĭovych 6 Lai, Yingcheng 6 LeBlanc, Victor G. 6 Letellier, Christophe 6 Li, Zhaoxiang 6 Maier-Paape, Stanislaus 6 Mei, Zhen 6 Murza, Adrian Calin 6 Nijmeijer, Henk 6 Puu, Tönu 6 Renardy, Yuriko Yamamuro 6 Rucklidge, Alastair M. 6 Siciliano, Salvatore 6 Soares, Pedro Tiago da Costa 6 Song, Yongli 6 Takayama, Yuki 6 Walcher, Sebastian 6 Wulff, Claudia 6 Yuan, Yuan 6 Zhou, Tianshou 5 Aizawa, Hiroki 5 Bahturin, Yuri 5 Bressloff, Paul C. ...and 2,984 more Authors all top 5 Cited in 469 Serials 195 Physica D 122 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 96 Chaos 59 Chaos, Solitons and Fractals 52 Journal of Nonlinear Science 52 SIAM Journal on Applied Dynamical Systems 39 Journal of Differential Equations 33 Journal of Algebra 31 Physics Letters. 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Series B 6 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 6 Journal of Geometric Mechanics 5 Rocky Mountain Journal of Mathematics 5 Mathematics of Computation 5 Journal of Geometry and Physics 5 Computing 5 Journal of Functional Analysis 5 Journal of Number Theory 5 Mathematische Zeitschrift 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Studies in Applied Mathematics 5 Applied Mathematics Letters 5 Applicable Algebra in Engineering, Communication and Computing 5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 5 Qualitative Theory of Dynamical Systems 5 Miscelánea Matemática ...and 369 more Serials all top 5 Cited in 62 Fields 783 Dynamical systems and ergodic theory (37-XX) 575 Ordinary differential equations (34-XX) 336 Biology and other natural sciences (92-XX) 243 Partial differential equations (35-XX) 176 Fluid mechanics (76-XX) 170 Global analysis, analysis on manifolds (58-XX) 141 Mechanics of deformable solids (74-XX) 136 Mechanics of particles and systems (70-XX) 129 Nonassociative rings and algebras (17-XX) 107 Systems theory; control (93-XX) 95 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 91 Group theory and generalizations (20-XX) 87 Combinatorics (05-XX) 87 Numerical analysis (65-XX) 87 Computer science (68-XX) 73 Number theory (11-XX) 64 Statistical mechanics, structure of matter (82-XX) 59 Quantum theory (81-XX) 49 Information and communication theory, circuits (94-XX) 45 Operator theory (47-XX) 43 Differential geometry (53-XX) 42 Associative rings and algebras (16-XX) 40 Optics, electromagnetic theory (78-XX) 37 Operations research, mathematical programming (90-XX) 35 Linear and multilinear algebra; matrix theory (15-XX) 32 Difference and functional equations (39-XX) 30 Probability theory and stochastic processes (60-XX) 27 History and biography (01-XX) 26 General and overarching topics; collections (00-XX) 25 Topological groups, Lie groups (22-XX) 25 Relativity and gravitational theory (83-XX) 24 Commutative algebra (13-XX) 23 General topology (54-XX) 21 Algebraic geometry (14-XX) 21 Geometry (51-XX) 21 Convex and discrete geometry (52-XX) 21 Manifolds and cell complexes (57-XX) 20 Statistics (62-XX) 19 Mathematical logic and foundations (03-XX) 18 Field theory and polynomials (12-XX) 17 Measure and integration (28-XX) 16 Real functions (26-XX) 14 Functional analysis (46-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 12 Classical thermodynamics, heat transfer (80-XX) 12 Geophysics (86-XX) 11 Order, lattices, ordered algebraic structures (06-XX) 11 Several complex variables and analytic spaces (32-XX) 9 Approximations and expansions (41-XX) 8 Integral equations (45-XX) 8 Astronomy and astrophysics (85-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Algebraic topology (55-XX) 6 Category theory; homological algebra (18-XX) 5 General algebraic systems (08-XX) 5 Functions of a complex variable (30-XX) 5 Mathematics education (97-XX) 4 Special functions (33-XX) 2 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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