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Stewart, Ian Nicholas

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Author ID: stewart.ian-n Recent zbMATH articles by "Stewart, Ian Nicholas"
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
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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
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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
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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

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 0691.58003
Golubitsky, Martin; Stewart, Ian; Schaeffer, David G.
426
1988
Catastrophe theory and its applications. Zbl 0382.58006
Poston, Tim; Stewart, Ian
283
1978
Nonlinear dynamics of networks: the groupoid formalism. Zbl 1119.37036
Golubitsky, Martin; Stewart, Ian
114
2006
The symmetry perspective. From equilibrium to chaos in phase space and physical space. Zbl 1031.37001
Golubitsky, Martin; Stewart, Ian
111
2002
Symmetry groupoids and patterns of synchrony in coupled cell networks. Zbl 1089.34032
Stewart, Ian; Golubitsky, Martin; Pivato, Marcus
111
2003
Patterns of synchrony in coupled cell networks with multiple arrows. Zbl 1090.34030
Golubitsky, Martin; Stewart, Ian; Török, Andrei
109
2005
From attractor to chaotic saddle: A tale of transverse instability. Zbl 0887.58034
Ashwin, Peter; Buescu, Jorge; Stewart, Ian
99
1996
Hopf bifurcation in the presence of symmetry. Zbl 0588.34030
Golubitsky, Martin; Stewart, Ian
96
1985
Coupled nonlinear oscillators and the symmetries of animal gaits. Zbl 0808.92012
Collins, J. J.; Stewart, I. N.
66
1993
Bubbling of attractors and synchronisation of chaotic oscillators. Zbl 0959.37508
Ashwin, Peter; Buescu, Jorge; Stewart, Ian
65
1994
Infinite-dimensional Lie algebras. Zbl 0302.17006
Amayo, Ralph K.; Stewart, Ian
53
1974
A modular network for legged locomotion. Zbl 1039.92009
Golubitsky, Martin; Stewart, Ian; Buono, Pietro-Luciano; Collins, J. J.
40
1998
Periodic solutions near equilibria of symmetric Hamiltonian systems. Zbl 0671.58034
Montaldi, J. A.; Roberts, R. M.; Stewart, I. N.
38
1988
Some curious phenomena in coupled cell networks. Zbl 1136.37359
Golubitsky, M.; Nicol, M.; Stewart, I.
36
2004
Symmetry and stability in Taylor-Couette flow. Zbl 0603.76053
Golubitsky, Martin; Stewart, Ian
32
1986
A group-theoretic approach to rings of coupled biological oscillators. Zbl 0804.92009
Collins, J. J.; Stewart, I.
32
1994
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
32
2013
Coupled cells with internal symmetry. I: Wreath products. Zbl 0894.58049
Dionne, Benoit; Golubitsky, Martin; Stewart, Ian
31
1996
Hexapodal gaits and coupled nonlinear oscillator models. Zbl 0767.92015
Collins, J. J.; Stewart, Ian
28
1993
Liapunov stability and adding machines. Zbl 0848.54027
Buescu, Jorge; Stewart, Ian
28
1995
Hopf bifurcation with dihedral group symmetry: coupled nonlinear oscillators. Zbl 0602.58038
Golubitsky, Martin; Stewart, Ian
25
1986
The lattice of balanced equivalence relations of a coupled cell network. Zbl 1120.37003
Stewart, Ian
25
2007
Existence of nonlinear normal modes of symmetric Hamiltonian systems. Zbl 0711.58011
Montaldi, James; Roberts, Mark; Stewart, Ian
25
1990
Generic bifurcation of Hamiltonian systems with symmetry. With an appendix by Jerrold Marsden. Zbl 0612.58013
Golubitsky, Martin; Stewart, Ian
23
1987
Coupled cells with internal symmetry. II: Direct products. Zbl 0894.58050
Dionne, Benoit; Golubitsky, Martin; Stewart, Ian
22
1996
Boundary conditions as symmetry constraints. Zbl 0735.35007
Crawford, J. D.; Golubitsky, M.; Gomes, M. G. M.; Knobloch, E.; Stewart, I. N.
21
1991
Algebraic number theory. Zbl 0413.12001
Stewart, Ian; Tall, David
21
1979
The constrained Liapunov-Schmidt procedure and periodic orbits. Zbl 0833.58014
Golubitsky, Martin; Marsden, Jerrold E.; Stewart, Ian; Dellnitz, Michael
19
1995
Symmetry and synchrony in coupled cell networks. I: Fixed-point spaces. Zbl 1145.37019
Antoneli, Fernando; Stewart, Ian
19
2006
Algebraic number theory and Fermat’s last theorem. Revised 3rd ed. Zbl 0994.11001
Stewart, Ian; Tall, David
18
2002
Steady PDEs on generalized rectangles: A change of genericity in mode interactions. Zbl 0836.35018
Gomes, M. G. M.; Stewart, I. N.
16
1994
Fearful symmetry: is God a geometer? Zbl 0931.00014
Stewart, Ian; Golubitsky, Martin
16
1992
Interior symmetry and local bifurcation in coupled cell networks. Zbl 1067.37066
Golubitsky, M.; Pivato, M.; Stewart, I.
16
2004
Algebraic number theory. 2nd ed. Zbl 0663.12001
Stewart, Ian; Tall, David
15
1987
Linear equivalence and ODE-equivalence for coupled cell networks. Zbl 1079.37010
Dias, Ana Paula S.; Stewart, Ian
15
2005
An algebraic treatment of Mal’cev’s theorems concerning nilpotent Lie groups and their Lie algebras. Zbl 0204.35903
Stewart, I. N.
14
1970
Galois theory. Zbl 0269.12104
Stewart, Ian
14
1973
Homeostasis, singularities, and networks. Zbl 1369.92040
Golubitsky, Martin; Stewart, Ian
13
2017
Cogwheels of the mind. The story of Venn diagrams. Foreword by Ian Stewart. Zbl 1056.01001
Edwards, A. W. F.
13
2004
Does God play dice? The mathematics of chaos. Zbl 0717.00001
Stewart, Ian
12
1989
Target patterns and spirals in planar reaction-diffusion systems. Zbl 0965.35084
Golubitsky, M.; Knobloch, E.; Stewart, I.
12
2000
Four encounters with Sierpiński’s gasket. Zbl 0814.28002
Stewart, Ian
12
1995
Infinite-dimensional Lie algebras in the spirit of infinite group theory. Zbl 0204.36001
Stewart, I. N.
12
1970
Synchrony-breaking bifurcation at a simple real eigenvalue for regular networks 1:1-dimensional cells. Zbl 1235.37011
Stewart, Ian; Golubitsky, Martin
12
2011
Lie algebras generated by finite-dimensional ideals. Zbl 0325.17002
Stewart, I.
12
1975
Catastrophe theory and its applications. (Teoriya katastrof i ee prilozheniya). Transl from the English. Zbl 0548.58007
Poston, Tim; Stewart, Ian
11
1980
Bounded solutions for non-autonomous parabolic equations. Zbl 0857.34065
Zhang, Weinian; Stewart, Ian
11
1996
Galois theory. 2nd ed. Zbl 0694.12001
Stewart, Ian
11
1989
Galois theory. 3rd ed. Zbl 1049.12001
Stewart, Ian
11
2004
The minimal condition for subideals of Lie algebras. Zbl 0179.33203
Stewart, I. N.
11
1969
Finitely generated Lie algebras. Zbl 0246.17014
Amayo, Ralph K.; Stewart, Ian
11
1972
Symmetry and synchrony in couples cell networks. II: Group networks. Zbl 1141.37392
Antoneli, Fernando; Stewart, Ian
11
2007
Stability of nonlinear normal modes of symmetric Hamiltonian systems. Zbl 0703.58019
Montaldi, James; Roberts, Mark; Stewart, Ian
10
1990
Symmetry-breaking bifurcation: A possible mechanism for 2:1 frequency- locking in animal locomotion. Zbl 0757.92011
Collins, J. J.; Stewart, I. N.
10
1992
Taylor expansions and catastrophes. Zbl 0335.58008
Poston, T.; Stewart, I. N.
10
1976
Symmetric chaos. Zbl 0754.58025
King, Greg; Stewart, Ian
9
1992
Verbal and marginal properties of non-associative algebras. Zbl 0282.17002
Stewart, Ian
9
1974
Periodic dynamics of coupled cell networks. II: Cyclic symmetry. Zbl 1162.37010
Stewart, Ian; Parker, Martyn
9
2008
Applications of catastrophe theory to the physical sciences. Zbl 1194.00017
Stewart, Ian
8
1981
Analysis of homeostatic mechanisms in biochemical networks. Zbl 1382.92131
Reed, Michael; Best, Janet; Golubitsky, Martin; Stewart, Ian; Nijhout, H. Frederik
8
2017
Hopf-steady-state mode interactions with O(2) symmetry. Zbl 0826.34036
Hill, Andrew; Stewart, Ian
8
1991
Bifurcations on hemispheres. Zbl 0791.35044
Field, M.; Golubitsky, M.; Stewart, I.
8
1991
Symmetry groupoids and admissible vector fields for coupled cell networks. Zbl 1049.37009
Dias, Ana Paula S.; Stewart, Ian
8
2004
Periodic dynamics of coupled cell networks. I. Rigid patterns of synchrony and phase relations. Zbl 1162.37312
Stewart, Ian; Parker, Martyn
8
2007
Spatiotemporal symmetries in the disynaptic canal-neck projection. Zbl 1129.92015
Golubitsky, Martin; Shiau, Liejune; Stewart, Ian
8
2007
Lie algebras. Zbl 0213.04201
Stewart, I.
7
1970
Structure theorems for a class of locally finite Lie algebras. Zbl 0225.17005
Stewart, Ian
7
1972
Patterns of oscillation in coupled cell systems. Zbl 1017.37045
Golubitsky, Martin; Stewart, Ian
7
2002
Symmetry-breaking as an origin of species. Zbl 1041.92020
Stewart, Ian; Elmhirst, Toby; Cohen, Jack
7
2003
Tensorial extensions of central simple algebras. Zbl 0255.17002
Stewart, Ian
7
1973
Symmetry and synchrony in coupled cell networks. III. Exotic patterns. Zbl 1143.37302
Antoneli, Fernando; Stewart, Ian
6
2008
Phase space reconstruction for symmetric dynamical systems. Zbl 1194.37133
King, G. P.; Stewart, Ian
6
1992
Detecting the symmetry of attractors for six oscillators coupled in a ring. Zbl 0885.58077
Kroon, Michel; Stewart, Ian
6
1995
Complex analysis. The hitchhiker’s guide to the plane. Zbl 0501.30001
Stewart, Ian; Tall, David
6
1983
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
Secondary bifurcations in systems with all-to-all coupling. Zbl 1057.34031
Dias, Ana Paula S.; Stewart, Ian
6
2003
Galois theory. 4th revised ed. Zbl 1322.12001
Stewart, Ian
6
2015
Symmetry methods in collisionless many-body problems. Zbl 0871.58047
Stewart, I.
6
1996
Exotic patterns of synchrony in planar lattice networks. Zbl 1412.34168
Stewart, Ian
6
2019
Homeostasis in a feed forward loop gene regulatory motif. Zbl 1397.92179
Antoneli, Fernando; Golubitsky, Martin; Stewart, Ian
6
2018
Conjugacy theorems for a class of locally finite Lie algebras. Zbl 0303.17006
Stewart, Ian
6
1975
Forced symmetry-breaking of square lattice planforms. Zbl 1096.37027
Parker, M. J.; Gomes, M. G. M.; Stewart, I. N.
5
2006
A property of locally finite Lie algebras. Zbl 0211.05501
Stewart, I. N.
5
1971
Bounds for the dimensions of certain Lie algebras. Zbl 0214.05102
Stewart, I.
5
1971
Finite rings with a specified group of units. Zbl 0224.16011
Stewart, Ian
5
1972
Spirals in scalar reaction-diffusion equations. Zbl 0886.58102
Dellnitz, Michael; Golubitsky, Martin; Hohmann, Andreas; Stewart, Ian
5
1995
Symmetry and pattern formation in coupled cell networks. Zbl 0987.37041
Golubitsky, Martin; Stewart, Ian
5
1999
Coordinate changes for network dynamics. Zbl 1362.37051
Golubitsky, Martin; Stewart, Ian
5
2017
Rigid patterns of synchrony for equilibria and periodic cycles in network dynamics. Zbl 1382.92023
Golubitsky, Martin; Stewart, Ian
5
2016
Homeostasis with multiple inputs. Zbl 1395.92067
Golubitsky, Martin; Stewart, Ian
5
2018
Synchrony versus symmetry in coupled cells. Zbl 1112.34020
Golubitsky, Martin; Stewart, Ian
5
2005
Enumeration of homogeneous coupled cell networks. Zbl 1092.05505
Aldosray, Falih; Stewart, Ian
4
2005
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
Algebraic path formulation for equivariant bifurcation problems. Zbl 0920.58018
Furter, Jacques-Elie; Sitta, Angela Maria; Stewart, Ian
4
1998
Spontaneous symmetry-breaking in a network model for quadruped locomotion. Zbl 1382.34036
Stewart, Ian
4
2017
Stability of periodic solutions in symmetric Hopf bifurcation. Zbl 0666.58032
Stewart, Ian
4
1987
Polyominoes of order 3 do not exist. Zbl 0788.05021
Stewart, I. N.; Wormstein, A.
4
1992
Symmetries of quotient networks for doubly periodic patterns on the square lattice. Zbl 1439.34021
Stewart, Ian; Gökaydin, Dinis
4
2019
Symmetry-breaking in a rate model for a biped locomotion central pattern generator. Zbl 1352.92019
Stewart, Ian
4
2014
Bifurcations on fully inhomogeneous networks. Zbl 1443.34039
Gandhi, Punit; Golubitsky, Martin; Postlethwaite, Claire; Stewart, Ian; Wang, Yangyang
3
2020
Symmetries of quotient networks for doubly periodic patterns on the hexagonal lattice. Zbl 1442.37056
Stewart, Ian; Gökaydin, Dinis
2
2020
Overdetermined constraints and rigid synchrony patterns for network equilibria. Zbl 1468.34049
Stewart, Ian
1
2020
Exotic patterns of synchrony in planar lattice networks. Zbl 1412.34168
Stewart, Ian
6
2019
Symmetries of quotient networks for doubly periodic patterns on the square lattice. Zbl 1439.34021
Stewart, Ian; Gökaydin, Dinis
4
2019
Tetrahedral chains and a curious semigroup. Zbl 1455.20028
Stewart, Ian
1
2019
Homeostasis in a feed forward loop gene regulatory motif. Zbl 1397.92179
Antoneli, Fernando; Golubitsky, Martin; Stewart, Ian
6
2018
Homeostasis with multiple inputs. Zbl 1395.92067
Golubitsky, Martin; Stewart, Ian
5
2018
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
4
2018
Homeostasis, singularities, and networks. Zbl 1369.92040
Golubitsky, Martin; Stewart, Ian
13
2017
Analysis of homeostatic mechanisms in biochemical networks. Zbl 1382.92131
Reed, Michael; Best, Janet; Golubitsky, Martin; Stewart, Ian; Nijhout, H. Frederik
8
2017
Coordinate changes for network dynamics. Zbl 1362.37051
Golubitsky, Martin; Stewart, Ian
5
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
1
2017
Rigid patterns of synchrony for equilibria and periodic cycles in network dynamics. Zbl 1382.92023
Golubitsky, Martin; Stewart, Ian
5
2016
Algebraic number theory and Fermat’s last theorem. 4th edition. Zbl 1332.11001
Stewart, Ian; Tall, David
4
2016
Galois theory. 4th revised ed. Zbl 1322.12001
Stewart, Ian
6
2015
The foundations of mathematics. 2nd ed. Zbl 1326.00008
Stewart, Ian; Tall, David
1
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
4
2014
Synchrony-breaking bifurcation at a simple real eigenvalue for regular networks 2: higher-dimensional cells. Zbl 1347.37042
Stewart, 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 1329.01007
MacHale, Desmond
2
2014
Four colors suffice. How the map problem was solved. With a foreword by Ian Stewart. Revised color edition. Zbl 1309.05002
Wilson, Robin
1
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
32
2013
Symmetry. A very short introduction. Zbl 1292.00003
Stewart, Ian
1
2013
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
12
2011
Phase oscillators with sinusoidal coupling interpreted in terms of projective geometry. Zbl 1248.34045
Stewart, Ian
4
2011
An optimal lifting theorem for coupled cell networks. Zbl 1248.37027
Stewart, Ian
1
2011
Sources of uncertainty in deterministic dynamics: an informal overview. Zbl 1239.01059
Stewart, Ian
1
2011
Periodic dynamics of coupled cell networks. II: Cyclic symmetry. Zbl 1162.37010
Stewart, Ian; Parker, Martyn
9
2008
Symmetry and synchrony in coupled cell networks. III. Exotic patterns. Zbl 1143.37302
Antoneli, Fernando; Stewart, Ian
6
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
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
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
1
2008
The lattice of balanced equivalence relations of a coupled cell network. Zbl 1120.37003
Stewart, Ian
25
2007
Symmetry and synchrony in couples cell networks. II: Group networks. Zbl 1141.37392
Antoneli, Fernando; Stewart, Ian
11
2007
Periodic dynamics of coupled cell networks. I. Rigid patterns of synchrony and phase relations. Zbl 1162.37312
Stewart, Ian; Parker, Martyn
8
2007
Spatiotemporal symmetries in the disynaptic canal-neck projection. Zbl 1129.92015
Golubitsky, Martin; Shiau, Liejune; Stewart, Ian
8
2007
Why beauty is truth. A history of symmetry. Zbl 1185.00003
Stewart, Ian
3
2007
Elimination of multiple arrows and self-connections in coupled cell networks. Zbl 1117.37013
Stewart, Ian
3
2007
Nonlinear dynamics of networks: the groupoid formalism. Zbl 1119.37036
Golubitsky, Martin; Stewart, Ian
114
2006
Symmetry and synchrony in coupled cell networks. I: Fixed-point spaces. Zbl 1145.37019
Antoneli, Fernando; Stewart, Ian
19
2006
Forced symmetry-breaking of square lattice planforms. Zbl 1096.37027
Parker, M. J.; Gomes, M. G. M.; Stewart, I. N.
5
2006
Lyapunov stability and adding machines revisited. Zbl 1130.37328
Buescu, Jorge; Kulczycki, Marcin; Stewart, Ian
4
2006
How to cut a cake. And other mathematical conundrums. Zbl 1210.00016
Stewart, Ian
1
2006
Patterns of synchrony in coupled cell networks with multiple arrows. Zbl 1090.34030
Golubitsky, Martin; Stewart, Ian; Török, Andrei
109
2005
Linear equivalence and ODE-equivalence for coupled cell networks. Zbl 1079.37010
Dias, Ana Paula S.; Stewart, Ian
15
2005
Synchrony versus symmetry in coupled cells. Zbl 1112.34020
Golubitsky, Martin; Stewart, Ian
5
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.
36
2004
Interior symmetry and local bifurcation in coupled cell networks. Zbl 1067.37066
Golubitsky, M.; Pivato, M.; Stewart, I.
16
2004
Cogwheels of the mind. The story of Venn diagrams. Foreword by Ian Stewart. Zbl 1056.01001
Edwards, A. W. F.
13
2004
Galois theory. 3rd ed. Zbl 1049.12001
Stewart, Ian
11
2004
Symmetry groupoids and admissible vector fields for coupled cell networks. Zbl 1049.37009
Dias, Ana Paula S.; Stewart, Ian
8
2004
Symmetry groupoids and patterns of synchrony in coupled cell networks. Zbl 1089.34032
Stewart, Ian; Golubitsky, Martin; Pivato, Marcus
111
2003
Symmetry-breaking as an origin of species. Zbl 1041.92020
Stewart, Ian; Elmhirst, Toby; Cohen, Jack
7
2003
Secondary bifurcations in systems with all-to-all coupling. Zbl 1057.34031
Dias, Ana Paula S.; Stewart, Ian
6
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
111
2002
Algebraic number theory and Fermat’s last theorem. Revised 3rd ed. Zbl 0994.11001
Stewart, Ian; Tall, David
18
2002
Patterns of oscillation in coupled cell systems. Zbl 1017.37045
Golubitsky, Martin; Stewart, Ian
7
2002
Flatterland. Like Flatland, only more so. Zbl 0997.00004
Stewart, Ian
1
2002
The annotated Flatland: a romance of many dimensions. With an introduction and notes by Ian Stewart. Zbl 1009.01016
Abbott, Edwin A.
1
2002
Does God play dice? The new mathematics of chaos. 2nd ed. Zbl 1031.00002
Stewart, Ian
1
2002
Target patterns and spirals in planar reaction-diffusion systems. Zbl 0965.35084
Golubitsky, M.; Knobloch, E.; Stewart, I.
12
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
Symmetry and pattern formation in coupled cell networks. Zbl 0987.37041
Golubitsky, Martin; Stewart, Ian
5
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
Hopf bifurcation on a simple cubic lattice. Zbl 0936.34028
Dias, Ana Paula S.; Stewart, Ian
1
1999
A modular network for legged locomotion. Zbl 1039.92009
Golubitsky, Martin; Stewart, Ian; Buono, Pietro-Luciano; Collins, J. J.
40
1998
Algebraic path formulation for equivariant bifurcation problems. Zbl 0920.58018
Furter, Jacques-Elie; Sitta, Angela Maria; Stewart, Ian
4
1998
The magical maze: seeing the world through mathematical eyes. Zbl 1083.00501
Stewart, Ian
1
1998
Nature’s numbers. The unreal reality of mathematics. Zbl 1078.00009
Stewart, Ian
2
1997
Symmetry of generic bifurcations in cubic domains. Zbl 0889.35012
Gomes, M. Gabriela M.; Stewart, Ian
1
1997
Symmetric \(\omega\)-limit sets of smooth \(\Gamma\)-equivariant dynamical systems with \(\Gamma^0\) Abelian. Zbl 0908.58044
Melbourne, Ian; Stewart, Ian
1
1997
From attractor to chaotic saddle: A tale of transverse instability. Zbl 0887.58034
Ashwin, Peter; Buescu, Jorge; Stewart, Ian
99
1996
Coupled cells with internal symmetry. I: Wreath products. Zbl 0894.58049
Dionne, Benoit; Golubitsky, Martin; Stewart, Ian
31
1996
Coupled cells with internal symmetry. II: Direct products. Zbl 0894.58050
Dionne, Benoit; Golubitsky, Martin; Stewart, Ian
22
1996
Bounded solutions for non-autonomous parabolic equations. Zbl 0857.34065
Zhang, Weinian; Stewart, Ian
11
1996
Symmetry methods in collisionless many-body problems. Zbl 0871.58047
Stewart, I.
6
1996
Singularity theory and equivariant bifurcation problems with parameter symmetry. Zbl 0866.58021
Furter, Jacques-Élie; Sitta, Angela Maria; Stewart, Ian
4
1996
Hidden symmetries and pattern formation in Lapwood convection. Zbl 0869.35077
Impey, 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 0947.00504
Stewart, Ian
1
1996
Liapunov stability and adding machines. Zbl 0848.54027
Buescu, Jorge; Stewart, Ian
28
1995
The constrained Liapunov-Schmidt procedure and periodic orbits. Zbl 0833.58014
Golubitsky, Martin; Marsden, Jerrold E.; Stewart, Ian; Dellnitz, Michael
19
1995
Four encounters with Sierpiński’s gasket. Zbl 0814.28002
Stewart, Ian
12
1995
Detecting the symmetry of attractors for six oscillators coupled in a ring. Zbl 0885.58077
Kroon, Michel; Stewart, Ian
6
1995
Spirals in scalar reaction-diffusion equations. Zbl 0886.58102
Dellnitz, Michael; Golubitsky, Martin; Hohmann, Andreas; Stewart, Ian
5
1995
Time-periodic spatially periodic planforms in Euclidean equivariant partial differential equations. Zbl 0851.35108
Dionne, 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 1024.00501
Stewart, Ian
1
1995
Bubbling of attractors and synchronisation of chaotic oscillators. Zbl 0959.37508
Ashwin, Peter; Buescu, Jorge; Stewart, Ian
65
1994
A group-theoretic approach to rings of coupled biological oscillators. Zbl 0804.92009
Collins, J. J.; Stewart, I.
32
1994
...and 93 more Documents
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
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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
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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)
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16 Topological groups, Lie groups (22-XX)
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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)

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