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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, I.; Stewart, I. N.; Stewart, Ian; Stewart, Ian N.; Wormstein, A.
Homepage: http://ianstewartjoat.weebly.com/
External Links: MGP · Wikidata · dblp · GND
Documents Indexed: 259 Publications since 1969, including 77 Books
all top 5

Co-Authors

125 single-authored
39 Golubitsky, Martin A.
10 Dias, Ana Paula S.
8 Tall, David
7 Aldosray, Falih A. M.
7 Gomes, M. Gabriela M.
7 Roberts, Richard Mark
6 Dionne, Benoit
5 Antoneli, Fernando jun.
5 Ashwin, Peter
5 Buescu, Jorge
5 Collins, James J.
5 Poston, Timothy
4 Frame, Michael L.
4 Montaldi, James A.
4 Parker, M. J.
3 Amayo, Ralph K.
3 Dangelmayr, Gerhard
3 Parker, Martyn
2 Barnsley, Michael Fielding
2 Buono, Pietro-Luciano
2 Chossat, Pascal
2 Cohen, Jack K.
2 Dellnitz, Michael
2 Elmhirst, Toby
2 Falconer, Kenneth J.
2 Furter, Jacques-Elie
2 Gökaydin, Dinis
2 Knobloch, Edgar
2 Manoel, Miriam
2 Mumford, David Bryant
2 Pivato, Marcus
2 Sitta, Angela Maria
2 Wang, Yangyang
1 Barrallo, Javier
1 Berry, Michael Victor
1 Berry, Michael W.
1 Best, Janet A.
1 Brazier, George
1 Brothers, Harlan J.
1 Cohen, Nathan
1 Coppens, Marc-Olivier
1 Crawford, John David
1 Doebeli, Michael
1 Drukker, Mark
1 Eglash, Ron
1 Field, Michael J.
1 Furstenberg, Hillel
1 Gandhi, Punit
1 Gomes, Gabriela
1 Haaf, Hermann
1 Hill, Andrew J.
1 Hill, Andrew N.
1 Hohmann, Andreas
1 Howe, Roger Evans
1 Huang, Zhengyuan
1 Impey, Michael
1 Jaffard, Stéphane
1 Janeczko, Stanisław
1 Jaworski, John
1 Jones, Robin
1 King, Greg
1 King, Gregory P.
1 Kroon, Michel
1 Krupa, Martin
1 Kulczycki, Marcin
1 Lesmoir-Gordon, Nigel
1 Marsden, Jerrold Eldon
1 Melbourne, Ian
1 Nicol, Matthew
1 Nijhout, H. Frederik
1 Postlethwaite, Claire M.
1 Reed, Michael C.
1 Robinson, Derek J. S.
1 Schaeffer, David G.
1 Shiau, LieJune
1 Silber, Mary
1 Stewart, I. N.
1 Török, Andrei
1 Towers, David A.
1 Wegelin, Michael
1 West, Bruce J.
1 Woodcock, A. E. R.
1 Woodcock, Alexander
1 Zhang, Weinian
all top 5

Serials

19 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
9 Nonlinearity
7 Compositio Mathematica
7 Dynamics and Stability of Systems
7 Dynamical Systems
6 Mathematical Proceedings of the Cambridge Philosophical Society
6 Journal of the London Mathematical Society. Second Series
6 Journal of Nonlinear Science
6 SIAM Journal on Applied Dynamical Systems
5 Archiv der Mathematik
5 Hiroshima Mathematical Journal
5 Physica D
3 The Mathematical Gazette
3 IEEE Transactions on Circuits and Systems
3 Mathematische Zeitschrift
3 Proceedings of the London Mathematical Society. Third Series
3 Notices of the American Mathematical Society
3 Nature, London
2 Biological Cybernetics
2 Bulletin of the Australian Mathematical Society
2 Journal of Mathematical Biology
2 Bulletin of Mathematical Biology
2 Chaos, Solitons and Fractals
2 The Mathematical Intelligencer
2 Journal of Algebra
2 Journal of Pure and Applied Algebra
2 SIAM Journal on Applied Mathematics
2 SIAM Journal on Mathematical Analysis
2 Bulletin of the American Mathematical Society. New Series
2 Spektrum der Wissenschaft
2 Lecture Notes in Mathematics
2 Very Short Introductions
1 American Mathematical Monthly
1 Archive for Rational Mechanics and Analysis
1 Physics Letters. A
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Applied Mathematics and Computation
1 Bulletin of the London Mathematical Society
1 Fundamenta Mathematicae
1 Geometriae Dedicata
1 Journal of Combinatorial Theory. Series A
1 Philosophical Transactions of the Royal Society of London. Ser. A
1 Southeast Asian Bulletin of Mathematics
1 Ergodic Theory and Dynamical Systems
1 Extracta Mathematicae
1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 Journal of Dynamics and Differential Equations
1 Philosophical Transactions of the Royal Society of London. Series A
1 Nonlinear Science Today
1 Algebra Colloquium
1 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
1 Chaos
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Journal of the Australian Mathematical Society
1 Journal of Algebra and its Applications
1 Applied Mathematical Sciences
1 Progress in Mathematics
1 The College Mathematics Journal
1 São Paulo Journal of Mathematical Sciences
1 Wiadomości Matematyczne
1 Symmetry
1 Journal of Theoretical Biology
all top 5

Fields

95 Dynamical systems and ergodic theory (37-XX)
65 General and overarching topics; collections (00-XX)
51 Ordinary differential equations (34-XX)
35 Nonassociative rings and algebras (17-XX)
30 Global analysis, analysis on manifolds (58-XX)
27 Biology and other natural sciences (92-XX)
24 History and biography (01-XX)
19 Group theory and generalizations (20-XX)
13 Mathematics education (97-XX)
12 Partial differential equations (35-XX)
9 Combinatorics (05-XX)
8 Mechanics of particles and systems (70-XX)
7 Number theory (11-XX)
6 Information and communication theory, circuits (94-XX)
5 Field theory and polynomials (12-XX)
5 Associative rings and algebras (16-XX)
4 Computer science (68-XX)
4 Fluid mechanics (76-XX)
3 Commutative algebra (13-XX)
3 Topological groups, Lie groups (22-XX)
3 Manifolds and cell complexes (57-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Relativity and gravitational theory (83-XX)
2 Measure and integration (28-XX)
2 Functions of a complex variable (30-XX)
2 Geometry (51-XX)
2 General topology (54-XX)
2 Mechanics of deformable solids (74-XX)
2 Optics, electromagnetic theory (78-XX)
2 Astronomy and astrophysics (85-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Mathematical logic and foundations (03-XX)
1 Algebraic geometry (14-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Difference and functional equations (39-XX)
1 Abstract harmonic analysis (43-XX)
1 Convex and discrete geometry (52-XX)
1 Differential geometry (53-XX)
1 Probability theory and stochastic processes (60-XX)
1 Quantum theory (81-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Operations research, mathematical programming (90-XX)
1 Systems theory; control (93-XX)

Publications by Year

Citations contained in zbMATH

187 Publications have been cited 2,839 times in 1,778 Documents Cited by Year
Singularities and groups in bifurcation theory. Volume II. Zbl 0691.58003
Golubitsky, Martin; Stewart, Ian; Schaeffer, David G.
559
1988
Catastrophe theory and its applications. Zbl 0382.58006
Poston, Tim; Stewart, Ian
286
1978
The symmetry perspective. From equilibrium to chaos in phase space and physical space. Zbl 1031.37001
Golubitsky, Martin; Stewart, Ian
116
2002
Nonlinear dynamics of networks: the groupoid formalism. Zbl 1119.37036
Golubitsky, Martin; Stewart, Ian
105
2006
Symmetry groupoids and patterns of synchrony in coupled cell networks. Zbl 1089.34032
Stewart, Ian; Golubitsky, Martin; Pivato, Marcus
102
2003
Patterns of synchrony in coupled cell networks with multiple arrows. Zbl 1090.34030
Golubitsky, Martin; Stewart, Ian; Török, Andrei
98
2005
From attractor to chaotic saddle: A tale of transverse instability. Zbl 0887.58034
Ashwin, Peter; Buescu, Jorge; Stewart, Ian
97
1996
Hopf bifurcation in the presence of symmetry. Zbl 0588.34030
Golubitsky, Martin; Stewart, Ian
96
1985
Bubbling of attractors and synchronisation of chaotic oscillators. Zbl 0959.37508
Ashwin, Peter; Buescu, Jorge; Stewart, Ian
65
1994
Coupled nonlinear oscillators and the symmetries of animal gaits. Zbl 0808.92012
Collins, J. J.; Stewart, I. N.
63
1993
Infinite-dimensional Lie algebras. Zbl 0302.17006
Amayo, Ralph K.; Stewart, Ian
51
1974
A modular network for legged locomotion. Zbl 1039.92009
Golubitsky, Martin; Stewart, Ian; Buono, Pietro-Luciano; Collins, J. J.
39
1998
Periodic solutions near equilibria of symmetric Hamiltonian systems. Zbl 0671.58034
Montaldi, J. A.; Roberts, R. M.; Stewart, I. N.
37
1988
A group-theoretic approach to rings of coupled biological oscillators. Zbl 0804.92009
Collins, J. J.; Stewart, I.
32
1994
Symmetry and stability in Taylor-Couette flow. Zbl 0603.76053
Golubitsky, Martin; Stewart, Ian
32
1986
Hopf bifurcation with dihedral group symmetry: coupled nonlinear oscillators. Zbl 0602.58038
Golubitsky, Martin; Stewart, Ian
32
1986
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
30
1993
Some curious phenomena in coupled cell networks. Zbl 1136.37359
Golubitsky, M.; Nicol, M.; Stewart, I.
29
2004
Algebraic number theory. Zbl 0413.12001
Stewart, Ian; Tall, David
28
1979
Liapunov stability and adding machines. Zbl 0848.54027
Buescu, Jorge; Stewart, Ian
27
1995
Algebraic number theory. 2nd ed. Zbl 0663.12001
Stewart, Ian; Tall, David
27
1987
Existence of nonlinear normal modes of symmetric Hamiltonian systems. Zbl 0711.58011
Montaldi, James; Roberts, Mark; Stewart, Ian
26
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
The lattice of balanced equivalence relations of a coupled cell network. Zbl 1120.37003
Stewart, Ian
21
2007
Boundary conditions as symmetry constraints. Zbl 0735.35007
Crawford, J. D.; Golubitsky, M.; Gomes, M. G. M.; Knobloch, E.; Stewart, I. N.
20
1991
The constrained Liapunov-Schmidt procedure and periodic orbits. Zbl 0833.58014
Golubitsky, Martin; Marsden, Jerrold E.; Stewart, Ian; Dellnitz, Michael
18
1995
Symmetry and synchrony in coupled cell networks. I: Fixed-point spaces. Zbl 1145.37019
Antoneli, Fernando; Stewart, Ian
17
2006
Algebraic number theory and Fermat’s last theorem. Revised 3rd ed. Zbl 0994.11001
Stewart, Ian; Tall, David
17
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
Galois theory. Zbl 0269.12104
Stewart, Ian
16
1973
Fearful symmetry: is God a geometer? Zbl 0931.00014
Stewart, Ian; Golubitsky, Martin
15
1992
Interior symmetry and local bifurcation in coupled cell networks. Zbl 1067.37066
Golubitsky, M.; Pivato, M.; Stewart, I.
14
2004
An algebraic treatment of Mal’cev’s theorems concerning nilpotent Lie groups and their Lie algebras. Zbl 0204.35903
Stewart, I. N.
14
1970
Linear equivalence and ODE-equivalence for coupled cell networks. Zbl 1079.37010
Dias, Ana Paula S.; Stewart, Ian
13
2005
Catastrophe theory and its applications. (Teoriya katastrof i ee prilozheniya). Transl from the English. Zbl 0548.58007
Poston, Tim; Stewart, Ian
13
1980
Homeostasis, singularities, and networks. Zbl 1369.92040
Golubitsky, Martin; Stewart, Ian
12
2017
Four encounters with Sierpiński’s gasket. Zbl 0814.28002
Stewart, Ian
12
1995
Lie algebras generated by finite-dimensional ideals. Zbl 0325.17002
Stewart, I.
12
1975
Infinite-dimensional Lie algebras in the spirit of infinite group theory. Zbl 0204.36001
Stewart, I. N.
12
1970
Galois theory. 3rd ed. Zbl 1049.12001
Stewart, Ian
11
2004
Target patterns and spirals in planar reaction-diffusion systems. Zbl 0965.35084
Golubitsky, M.; Knobloch, E.; Stewart, I.
11
2000
Bounded solutions for non-autonomous parabolic equations. Zbl 0857.34065
Zhang, Weinian; Stewart, Ian
11
1996
Stability of nonlinear normal modes of symmetric Hamiltonian systems. Zbl 0703.58019
Montaldi, James; Roberts, Mark; Stewart, Ian
11
1990
Galois theory. 2nd ed. Zbl 0694.12001
Stewart, Ian
11
1989
Does God play dice? The mathematics of chaos. Zbl 0717.00001
Stewart, Ian
11
1989
Finitely generated Lie algebras. Zbl 0246.17014
Amayo, Ralph K.; Stewart, Ian
11
1972
Synchrony-breaking bifurcation at a simple real eigenvalue for regular networks 1:1-dimensional cells. Zbl 1235.37011
Stewart, Ian; Golubitsky, Martin
10
2011
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
The minimal condition for subideals of Lie algebras. Zbl 0179.33203
Stewart, I. N.
10
1969
Symmetry and synchrony in couples cell networks. II: Group networks. Zbl 1141.37392
Antoneli, Fernando; Stewart, Ian
9
2007
Symmetric chaos. Zbl 0754.58025
King, Greg; Stewart, Ian
9
1992
Hopf-steady-state mode interactions with O(2) symmetry. Zbl 0826.34036
Hill, Andrew; Stewart, Ian
9
1991
Taylor expansions and catastrophes. Zbl 0335.58008
Poston, T.; Stewart, I. N.
9
1976
Lie algebras. Zbl 0213.04201
Stewart, I.
9
1970
Spatiotemporal symmetries in the disynaptic canal-neck projection. Zbl 1129.92015
Golubitsky, Martin; Shiau, Liejune; Stewart, Ian
8
2007
Symmetry groupoids and admissible vector fields for coupled cell networks. Zbl 1049.37009
Dias, Ana Paula S.; Stewart, Ian
8
2004
Bifurcations on hemispheres. Zbl 0791.35044
Field, M.; Golubitsky, M.; Stewart, I.
8
1991
Verbal and marginal properties of non-associative algebras. Zbl 0282.17002
Stewart, Ian
8
1974
Analysis of homeostatic mechanisms in biochemical networks. Zbl 1382.92131
Reed, Michael; Best, Janet; Golubitsky, Martin; Stewart, Ian; Nijhout, H. Frederik
7
2017
Periodic dynamics of coupled cell networks. I. Rigid patterns of synchrony and phase relations. Zbl 1162.37312
Stewart, Ian; Parker, Martyn
7
2007
Detecting the symmetry of attractors for six oscillators coupled in a ring. Zbl 0885.58077
Kroon, Michel; Stewart, Ian
7
1995
Complex analysis. The hitchhiker’s guide to the plane. Zbl 0501.30001
Stewart, Ian; Tall, David
7
1983
Applications of catastrophe theory to the physical sciences. Zbl 1194.00017
Stewart, Ian
7
1981
Tensorial extensions of central simple algebras. Zbl 0255.17002
Stewart, Ian
7
1973
Structure theorems for a class of locally finite Lie algebras. Zbl 0225.17005
Stewart, Ian
7
1972
Periodic dynamics of coupled cell networks. II: Cyclic symmetry. Zbl 1162.37010
Stewart, Ian; Parker, Martyn
6
2008
Patterns of oscillation in coupled cell systems. Zbl 1017.37045
Golubitsky, Martin; Stewart, Ian
6
2002
Symmetry methods in collisionless many-body problems. Zbl 0871.58047
Stewart, I.
6
1996
Hopf bifurcations on generalized rectangles with Neumann boundary conditions. Zbl 0815.58026
Gomes, Gabriela; Stewart, Ian
6
1994
Coupled cells: Wreath products and direct products. Zbl 0810.34028
Golubitsky, Martin; Stewart, Ian; Dionne, Benoit
6
1994
Conjugacy theorems for a class of locally finite Lie algebras. Zbl 0303.17006
Stewart, Ian
6
1975
Homeostasis in a feed forward loop gene regulatory motif. Zbl 1397.92179
Antoneli, Fernando; Golubitsky, Martin; Stewart, Ian
5
2018
Galois theory. 4th revised ed. Zbl 1322.12001
Stewart, Ian
5
2015
Forced symmetry-breaking of square lattice planforms. Zbl 1096.37027
Parker, M. J.; Gomes, M. G. M.; Stewart, I. N.
5
2006
Synchrony versus symmetry in coupled cells. Zbl 1112.34020
Golubitsky, Martin; Stewart, Ian
5
2005
Secondary bifurcations in systems with all-to-all coupling. Zbl 1057.34031
Dias, Ana Paula S.; Stewart, Ian
5
2003
Symmetry and pattern formation in coupled cell networks. Zbl 0987.37041
Golubitsky, Martin; Stewart, Ian
5
1999
Spirals in scalar reaction-diffusion equations. Zbl 0886.58102
Dellnitz, Michael; Golubitsky, Martin; Hohmann, Andreas; Stewart, Ian
5
1995
Phase space reconstruction for symmetric dynamical systems. Zbl 1194.37133
King, G. P.; Stewart, Ian
5
1992
Finite rings with a specified group of units. Zbl 0224.16011
Stewart, Ian
5
1972
Bounds for the dimensions of certain Lie algebras. Zbl 0214.05102
Stewart, I.
5
1971
A property of locally finite Lie algebras. Zbl 0211.05501
Stewart, I. N.
5
1971
Homeostasis with multiple inputs. Zbl 1395.92067
Golubitsky, Martin; Stewart, Ian
4
2018
Coordinate changes for network dynamics. Zbl 1362.37051
Golubitsky, Martin; Stewart, Ian
4
2017
Rigid patterns of synchrony for equilibria and periodic cycles in network dynamics. Zbl 1382.92023
Golubitsky, Martin; Stewart, Ian
4
2016
Algebraic number theory and Fermat’s last theorem. 4th edition. Zbl 1332.11001
Stewart, Ian; Tall, David
4
2016
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
Symmetry and synchrony in coupled cell networks. III. Exotic patterns. Zbl 1143.37302
Antoneli, Fernando; Stewart, Ian
4
2008
Lyapunov stability and adding machines revisited. Zbl 1130.37328
Buescu, Jorge; Kulczycki, Marcin; Stewart, Ian
4
2006
Symmetry-breaking as an origin of species. Zbl 1041.92020
Stewart, Ian; Elmhirst, Toby; Cohen, Jack
4
2003
Algebraic path formulation for equivariant bifurcation problems. Zbl 0920.58018
Furter, Jacques-Elie; Sitta, Angela Maria; Stewart, Ian
4
1998
Hidden symmetries and pattern formation in Lapwood convection. Zbl 0869.35077
Impey, Michael; Roberts, Mark; Stewart, Ian
4
1996
Singularity theory and equivariant bifurcation problems with parameter symmetry. Zbl 0866.58021
Furter, Jacques-Élie; Sitta, Angela Maria; Stewart, Ian
4
1996
Polyominoes of order 3 do not exist. Zbl 0788.05021
Stewart, I. N.; Wormstein, A.
4
1992
Stability of periodic solutions in symmetric Hopf bifurcation. Zbl 0666.58032
Stewart, Ian
4
1987
The problems of mathematics. With a foreword by James Joseph Sylvester. Zbl 0784.00012
Stewart, Ian
4
1987
Descending chain conditions for Lie algebras of prime characteristic. Zbl 0311.17006
Amayo, Ralph K.; Stewart, Ian
4
1975
Levi factors of infinite-dimensional Lie algebras. Zbl 0249.17013
Stewart, Ian
4
1972
Symmetries of quotient networks for doubly periodic patterns on the hexagonal lattice. Zbl 1442.37056
Stewart, Ian; Gökaydin, Dinis
1
2020
Exotic patterns of synchrony in planar lattice networks. Zbl 1412.34168
Stewart, Ian
3
2019
Symmetries of quotient networks for doubly periodic patterns on the square lattice. Zbl 1439.34021
Stewart, Ian; Gökaydin, Dinis
2
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
5
2018
Homeostasis with multiple inputs. Zbl 1395.92067
Golubitsky, Martin; Stewart, Ian
4
2018
Homeostasis, singularities, and networks. Zbl 1369.92040
Golubitsky, Martin; Stewart, Ian
12
2017
Analysis of homeostatic mechanisms in biochemical networks. Zbl 1382.92131
Reed, Michael; Best, Janet; Golubitsky, Martin; Stewart, Ian; Nijhout, H. Frederik
7
2017
Coordinate changes for network dynamics. Zbl 1362.37051
Golubitsky, Martin; Stewart, Ian
4
2017
Spontaneous symmetry-breaking in a network model for quadruped locomotion. Zbl 1382.34036
Stewart, Ian
3
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
4
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
5
2015
Symmetry methods in mathematical biology. Zbl 1346.92011
Golubitsky, Martin; Stewart, Ian
1
2015
The foundations of mathematics. 2nd ed. Zbl 1326.00008
Stewart, Ian; Tall, David
1
2015
Symmetry-breaking in a rate model for a biped locomotion central pattern generator. Zbl 1352.92019
Stewart, Ian
3
2014
Synchrony-breaking bifurcation at a simple real eigenvalue for regular networks 2: higher-dimensional cells. Zbl 1347.37042
Stewart, Ian
2
2014
Symmetry. A very short introduction. Zbl 1292.00003
Stewart, Ian
1
2013
The influence of Benoît B. Mandelbrot on mathematics. Zbl 1284.01048
Barnsley, Michael F. (ed.); Frame, Michael (ed.); Stewart, Ian; Mumford, David; Howe, Roger; Furstenberg, Hillel; Falconer, Kenneth; West, Bruce J.; Coppens, Marc-Olivier; Cohen, Nathan; Jaffard, Stéphane; Berry, Michael; Frame, Michael
1
2012
Glimpses of Benoît B. Mandelbrot (1924–2010). Zbl 1284.01047
Barnsley, Michael F. (ed.); Frame, Michael (ed.); Stewart, Ian; Mumford, David; Falconer, Kenneth; Eglash, Ron; Brothers, Harlan; Lesmoir-Gordon, Nigel; Barrallo, Javier; Berry, Michael; Frame, Michael
1
2012
Synchrony-breaking bifurcation at a simple real eigenvalue for regular networks 1:1-dimensional cells. Zbl 1235.37011
Stewart, Ian; Golubitsky, Martin
10
2011
Phase oscillators with sinusoidal coupling interpreted in terms of projective geometry. Zbl 1248.34045
Stewart, Ian
3
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
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
Symmetry and synchrony in coupled cell networks. III. Exotic patterns. Zbl 1143.37302
Antoneli, Fernando; Stewart, Ian
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
Why beauty is truth. A history of symmetry. Transl. from the English by Thomas Filk. Zbl 1156.00001
Stewart, Ian
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 lattice of balanced equivalence relations of a coupled cell network. Zbl 1120.37003
Stewart, Ian
21
2007
Symmetry and synchrony in couples cell networks. II: Group networks. Zbl 1141.37392
Antoneli, Fernando; Stewart, Ian
9
2007
Spatiotemporal symmetries in the disynaptic canal-neck projection. Zbl 1129.92015
Golubitsky, Martin; Shiau, Liejune; Stewart, Ian
8
2007
Periodic dynamics of coupled cell networks. I. Rigid patterns of synchrony and phase relations. Zbl 1162.37312
Stewart, Ian; Parker, Martyn
7
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
105
2006
Symmetry and synchrony in coupled cell networks. I: Fixed-point spaces. Zbl 1145.37019
Antoneli, Fernando; Stewart, Ian
17
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
98
2005
Linear equivalence and ODE-equivalence for coupled cell networks. Zbl 1079.37010
Dias, Ana Paula S.; Stewart, Ian
13
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
3
2005
Some curious phenomena in coupled cell networks. Zbl 1136.37359
Golubitsky, M.; Nicol, M.; Stewart, I.
29
2004
Interior symmetry and local bifurcation in coupled cell networks. Zbl 1067.37066
Golubitsky, M.; Pivato, M.; Stewart, I.
14
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
102
2003
Secondary bifurcations in systems with all-to-all coupling. Zbl 1057.34031
Dias, Ana Paula S.; Stewart, Ian
5
2003
Symmetry-breaking as an origin of species. Zbl 1041.92020
Stewart, Ian; Elmhirst, Toby; Cohen, Jack
4
2003
Speciation: A case study in symmetric bifurcation theory. Zbl 1065.37038
Stewart, Ian
3
2003
Flatterland. Like Flatland, only more so. 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
116
2002
Algebraic number theory and Fermat’s last theorem. Revised 3rd ed. Zbl 0994.11001
Stewart, Ian; Tall, David
17
2002
Patterns of oscillation in coupled cell systems. Zbl 1017.37045
Golubitsky, Martin; Stewart, Ian
6
2002
Does God play dice? The new mathematics of chaos. 2nd ed. Zbl 1031.00002
Stewart, Ian
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.
11
2000
Invariant theory for wreath product groups. Zbl 0972.13006
Dias, Ana Paula S.; Stewart, Ian
3
2000
Heteroclinic cycles and wreath product symmetries. Zbl 0972.37031
Dias, Ana Paula S.; Dionne, Benoit; Stewart, Ian
2
2000
Hilbert series for equivariant mappings restricted to invariant hyperplanes. Zbl 0974.13002
Stewart, Ian; Dias, Ana Paula S.
2
2000
The classification of bifurcations with hidden symmetries. Zbl 1025.37029
Manoel, Míriam; 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.
39
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
Symmetric \(\omega\)-limit sets of smooth \(\Gamma\)-equivariant dynamical systems with \(\Gamma^0\) Abelian. Zbl 0908.58044
Melbourne, Ian; Stewart, Ian
1
1997
Symmetry of generic bifurcations in cubic domains. Zbl 0889.35012
Gomes, M. Gabriela M.; Stewart, Ian
1
1997
From attractor to chaotic saddle: A tale of transverse instability. Zbl 0887.58034
Ashwin, Peter; Buescu, Jorge; Stewart, Ian
97
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
Hidden symmetries and pattern formation in Lapwood convection. Zbl 0869.35077
Impey, Michael; Roberts, Mark; Stewart, Ian
4
1996
Singularity theory and equivariant bifurcation problems with parameter symmetry. Zbl 0866.58021
Furter, Jacques-Élie; Sitta, Angela Maria; Stewart, Ian
4
1996
From here to infinity. A guide to today’s mathematics. A retitled and revised edition of ‘The problems of mathematics’. Zbl 0947.00504
Stewart, Ian
1
1996
Liapunov stability and adding machines. Zbl 0848.54027
Buescu, Jorge; Stewart, Ian
27
1995
The constrained Liapunov-Schmidt procedure and periodic orbits. Zbl 0833.58014
Golubitsky, Martin; Marsden, Jerrold E.; Stewart, Ian; Dellnitz, Michael
18
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
7
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. 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
Steady PDEs on generalized rectangles: A change of genericity in mode interactions. Zbl 0836.35018
Gomes, M. G. M.; Stewart, I. N.
16
1994
Hopf bifurcations on generalized rectangles with Neumann boundary conditions. Zbl 0815.58026
Gomes, Gabriela; Stewart, Ian
6
1994
Coupled cells: Wreath products and direct products. Zbl 0810.34028
Golubitsky, Martin; Stewart, Ian; Dionne, Benoit
6
1994
Sets, lines and adding machines. Zbl 0840.54030
Buescu, Jorge; Stewart, Ian
2
1994
Oscillator networks with the symmetry of the unit quaternion group. Zbl 0817.58036
Ashwin, Peter; Dangelmayr, Gerhard; Stewart, Ian; Wegelin, Michael
2
1994
Closed ideals of Lie algebras. Zbl 0838.17021
Aldosray, Falih A. M.; Stewart, Ian
1
1994
Coupled nonlinear oscillators and the symmetries of animal gaits. Zbl 0808.92012
Collins, J. J.; Stewart, I. N.
63
1993
Hexapodal gaits and coupled nonlinear oscillator models. Zbl 0767.92015
Collins, J. J.; Stewart, Ian
30
1993
...and 87 more Documents
all top 5

Cited by 2,443 Authors

79 Stewart, Ian Nicholas
43 Golubitsky, Martin A.
31 Ashwin, Peter
25 Guo, Shangjiang
19 Dias, Ana Paula S.
18 Chossat, Pascal
18 Lamb, Jeroen S. W.
17 Buono, Pietro-Luciano
16 Knobloch, Edgar
16 Krawcewicz, Wieslaw Z.
14 Ikeda, Kiyohiro
14 Melbourne, Ian
14 Zhang, Chunrui
13 Aguiar, Manuela A. D.
13 Gaeta, Giuseppe
12 Dangelmayr, Gerhard
11 Aston, Philip J.
11 Balanov, Zalman I.
11 Labouriau, Isabel S.
10 Marsden, Jerrold Eldon
10 Wu, Jianhong
10 Zheng, Baodong
9 Amayo, Ralph K.
9 Dellnitz, Michael
9 Roberts, Richard Mark
8 Antoneli, Fernando jun.
8 Bridges, Thomas J.
8 Broer, Henk W.
8 Chen, Tianping
8 El Naschie, Mohamed Saladin
8 Field, Michael J.
8 Healey, Timothy J.
8 Horikawa, Yo
8 Lauterbach, Reiner
8 Palacios, Antonio
8 Pinto, Carla M. A.
8 Silber, Mary
8 Zhang, Weinian
7 Bischi, Gian-Italo
7 Holmes, Philip J.
7 Krupa, Martin
7 Lu, Wenlian
7 Maistrenko, Yuri L.
7 Sanders, Jan A.
7 Wallace, Rodrick
6 Aldosray, Falih A. M.
6 Crawford, John David
6 Janeczko, Stanisław
6 Kielhöfer, Hansjörg
6 Kitajima, Hiroyuki
6 Manoel, Miriam
6 Podvigina, Ol’ga Mikhaĭlovna
6 Puu, Tönu
6 Renardy, Yuriko Yamamuro
6 Steele, Timothy H.
6 Yanchuk, Sergiĭ Volodymyrovych
5 Bressloff, Paul C.
5 Castro, Sofia B. S. D.
5 Chan, Bernard S.
5 Collins, James J.
5 Domokos, Gábor
5 García-Azpeitia, Carlos
5 Gardini, Laura
5 Gatermann, Karin
5 Gomes, M. Gabriela M.
5 Grebogi, Celso
5 Kolev, Boris
5 Langford, William F.
5 LeBlanc, Victor G.
5 Maier-Paape, Stanislaus
5 Marques, Francisco
5 Mei, Zhen
5 Moehlis, Jeff
5 Montaldi, James A.
5 Murza, Adrian Calin
5 Nicol, Matthew
5 Nijholt, Eddie
5 Pecora, Louis M.
5 Rachinskii, Dmitrii I.
5 Ratiu, Tudor Stefan
5 Rink, Bob W.
5 Rodrigues, Alexandre A. P.
5 Rucklidge, Alastair M.
5 Scheurle, Jürgen
5 Song, Yongli
5 Swift, James W.
5 Takayama, Yuki
5 Troger, Hans
5 Wulff, Claudia
5 Zhou, Tianshou
5 Zhu, Changrong
4 Auffray, Nicolas
4 Bahturin, Yuri
4 Belykh, Igor V.
4 Bick, Christian
4 Blyuss, Konstantin B.
4 Böhmer, Klaus
4 Burylko, Oleksandr
4 Carroll, Thomas L.
4 Chen, Yushu
...and 2,343 more Authors
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Cited in 370 Serials

171 Physica D
104 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
65 Chaos
53 Chaos, Solitons and Fractals
40 Journal of Nonlinear Science
39 Journal of Differential Equations
29 Journal of Algebra
25 Journal of Fluid Mechanics
25 Dynamics and Stability of Systems
24 SIAM Journal on Applied Dynamical Systems
23 Nonlinear Dynamics
21 Journal of Dynamics and Differential Equations
20 Dynamical Systems
19 Bulletin of Mathematical Biology
18 Archive for Rational Mechanics and Analysis
18 Biological Cybernetics
18 Communications in Nonlinear Science and Numerical Simulation
17 Mathematical Proceedings of the Cambridge Philosophical Society
17 Physics Letters. A
17 Journal of Computational and Applied Mathematics
15 Journal of Mathematical Biology
15 ZAMP. Zeitschrift für angewandte Mathematik und Physik
15 Compositio Mathematica
14 Transactions of the American Mathematical Society
14 Nonlinear Analysis. Theory, Methods & Applications
13 Journal of Mathematical Analysis and Applications
13 Applied Mathematics and Computation
13 Proceedings of the American Mathematical Society
12 Computer Methods in Applied Mechanics and Engineering
11 Computers & Mathematics with Applications
10 Communications in Algebra
10 Mathematical Biosciences
10 The Mathematical Intelligencer
10 Journal of Pure and Applied Algebra
10 Acta Applicandae Mathematicae
10 Journal of Theoretical Biology
9 Journal of Statistical Physics
9 Nonlinearity
9 Archiv der Mathematik
9 Automatica
9 Topology and its Applications
9 Applied Mathematics and Mechanics. (English Edition)
9 Annals of Physics
9 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
9 Journal of Difference Equations and Applications
9 Nonlinear Analysis. Real World Applications
8 Bulletin of the Australian Mathematical Society
8 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
8 Mathematical and Computer Modelling
7 Journal of Mathematical Physics
7 Mathematical Notes
7 Advances in Mathematics
7 Manuscripta Mathematica
7 Journal of Symbolic Computation
7 Journal of Economic Dynamics & Control
7 Neural Networks
7 SIAM Journal on Mathematical Analysis
7 Physics of Fluids
7 Abstract and Applied Analysis
7 The Journal of Mathematical Neuroscience
6 Acta Mechanica
6 International Journal of Engineering Science
6 International Journal of Systems Science
6 Journal of Computational Physics
6 Letters in Mathematical Physics
6 Physica A
6 Journal of Soviet Mathematics
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Journal of Computational Neuroscience
6 Mathematics and Mechanics of Solids
6 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
6 Journal of Geometric Mechanics
5 Communications in Mathematical Physics
5 Israel Journal of Mathematics
5 Journal of the Mechanics and Physics of Solids
5 Nuclear Physics. B
5 Rocky Mountain Journal of Mathematics
5 Journal of Geometry and Physics
5 Computing
5 International Journal for Numerical Methods in Engineering
5 Journal of Number Theory
5 Mathematics and Computers in Simulation
5 Mathematische Zeitschrift
5 Studies in Applied Mathematics
5 Theoretical Computer Science
5 Applied Mathematics Letters
5 Applied Mathematical Modelling
5 Journal of Elasticity
5 Linear Algebra and its Applications
5 Journal of Mathematical Sciences (New York)
5 Discrete and Continuous Dynamical Systems
5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
5 Symmetry
4 Discrete Applied Mathematics
4 International Journal of Mathematical Education in Science and Technology
4 International Journal of Theoretical Physics
4 Mathematical Methods in the Applied Sciences
4 Physics Reports
4 Wave Motion
4 Mathematics of Computation
...and 270 more Serials
all top 5

Cited in 62 Fields

633 Dynamical systems and ergodic theory (37-XX)
451 Ordinary differential equations (34-XX)
259 Biology and other natural sciences (92-XX)
185 Partial differential equations (35-XX)
151 Global analysis, analysis on manifolds (58-XX)
148 Fluid mechanics (76-XX)
109 Mechanics of deformable solids (74-XX)
103 Mechanics of particles and systems (70-XX)
100 Nonassociative rings and algebras (17-XX)
82 Systems theory; control (93-XX)
75 Group theory and generalizations (20-XX)
67 Numerical analysis (65-XX)
67 Computer science (68-XX)
67 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
52 Combinatorics (05-XX)
44 Number theory (11-XX)
44 Statistical mechanics, structure of matter (82-XX)
41 Quantum theory (81-XX)
36 Information and communication theory, circuits (94-XX)
34 Associative rings and algebras (16-XX)
33 Operator theory (47-XX)
33 Optics, electromagnetic theory (78-XX)
31 Differential geometry (53-XX)
30 Operations research, mathematical programming (90-XX)
22 Linear and multilinear algebra; matrix theory (15-XX)
22 Difference and functional equations (39-XX)
21 Probability theory and stochastic processes (60-XX)
20 Relativity and gravitational theory (83-XX)
19 General topology (54-XX)
18 Commutative algebra (13-XX)
18 Topological groups, Lie groups (22-XX)
17 History and biography (01-XX)
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16 General and overarching topics; collections (00-XX)
16 Algebraic geometry (14-XX)
16 Statistics (62-XX)
14 Measure and integration (28-XX)
11 Field theory and polynomials (12-XX)
11 Functional analysis (46-XX)
10 Several complex variables and analytic spaces (32-XX)
10 Calculus of variations and optimal control; optimization (49-XX)
10 Classical thermodynamics, heat transfer (80-XX)
9 Geophysics (86-XX)
8 Real functions (26-XX)
6 Approximations and expansions (41-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 General algebraic systems (08-XX)
5 Integral equations (45-XX)
5 Algebraic topology (55-XX)
5 Astronomy and astrophysics (85-XX)
4 Special functions (33-XX)
3 Category theory; homological algebra (18-XX)
3 Functions of a complex variable (30-XX)
3 Mathematics education (97-XX)
1 Potential theory (31-XX)
1 Sequences, series, summability (40-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)

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