-
1
-
-
57249108440
-
Hopf bifurcation in coupled cell networks with interior symmetries
-
F. ANTONELI, A. P. S. DIAS, AND R. C. PAIVA, Hopf bifurcation in coupled cell networks with interior symmetries, SIAM J. Appl. Dyn. Syst., 7 (2008), pp. 220-248.
-
(2008)
SIAM J. Appl. Dyn. Syst
, vol.7
, pp. 220-248
-
-
ANTONELI, F.1
DIAS, A.P.S.2
PAIVA, R.C.3
-
3
-
-
0003300445
-
Methods in Equivariant Bifurcations and Dynamical Systems
-
World Scientific, Singapore
-
P. CHOSSAT AND R. LAUTERBACH, Methods in Equivariant Bifurcations and Dynamical Systems, Adv. Ser. Nonlinear Dynam. 15, World Scientific, Singapore, 2000.
-
(2000)
Adv. Ser. Nonlinear Dynam
, pp. 15
-
-
CHOSSAT, P.1
LAUTERBACH, R.2
-
4
-
-
62949249588
-
Synchrony-breaking period-doubling bifurcations for three-cell homogeneous coupled maps, J. Bifur. & Chaos
-
to appear
-
A. N. COMANICI, Synchrony-breaking period-doubling bifurcations for three-cell homogeneous coupled maps, J. Bifur. & Chaos, to appear.
-
-
-
COMANICI, A.N.1
-
5
-
-
0002776472
-
Nilpotent normal forms and representation theory of sl(2, R)
-
M. Golubitsky and J. Guckenheimer, eds, AMS, Providence, RI
-
R. CUSHMAN AND J. SANDERS, Nilpotent normal forms and representation theory of sl(2, R), in Multiparameter Bifurcation Theory, M. Golubitsky and J. Guckenheimer, eds., AMS, Providence, RI, 1986, pp. 31-51.
-
(1986)
Multiparameter Bifurcation Theory
, pp. 31-51
-
-
CUSHMAN, R.1
SANDERS, J.2
-
7
-
-
22244486670
-
Coupled cells with internal symmetry
-
B. DIONNE, M. GOLUBITSKY, AND I. STEWART, Coupled cells with internal symmetry. II: Direct products, Nonlinearity, 9 (1996), pp. 575-599.
-
(1996)
II: Direct products, Nonlinearity
, vol.9
, pp. 575-599
-
-
DIONNE, B.1
GOLUBITSKY, M.2
STEWART, I.3
-
8
-
-
33745722793
-
Nilpotent Hopf bifurcations in coupled cell systems
-
T. ELMHIRST AND M. GOLUBITSKY, Nilpotent Hopf bifurcations in coupled cell systems, SIAM J. Appl. Dyn. Syst., 5 (2006), pp. 205-251.
-
(2006)
SIAM J. Appl. Dyn. Syst
, vol.5
, pp. 205-251
-
-
ELMHIRST, T.1
GOLUBITSKY, M.2
-
9
-
-
0030900030
-
Pattern formation in systems with one spatially distributed species
-
B. ERMENTROUT AND M. LEWIS, Pattern formation in systems with one spatially distributed species, Bull. Math. Biol., 59 (1997), pp. 533-549.
-
(1997)
Bull. Math. Biol
, vol.59
, pp. 533-549
-
-
ERMENTROUT, B.1
LEWIS, M.2
-
10
-
-
84868000314
-
Some curious phenomena in coupled cell networks
-
M. GOLUBITSKY, M. NICOL, AND I. STEWART, Some curious phenomena in coupled cell networks, J. Nonlinear Sci., 14 (2004), pp. 207-236.
-
(2004)
J. Nonlinear Sci
, vol.14
, pp. 207-236
-
-
GOLUBITSKY, M.1
NICOL, M.2
STEWART, I.3
-
11
-
-
11144277461
-
Interior symmetry and local bifurcation in coupled cell networks
-
M. GOLUBITSKY, M. PIVATO, AND I. STEWART, Interior symmetry and local bifurcation in coupled cell networks, Dyn. Syst., 19 (2004), pp. 389-407.
-
(2004)
Dyn. Syst
, vol.19
, pp. 389-407
-
-
GOLUBITSKY, M.1
PIVATO, M.2
STEWART, I.3
-
13
-
-
33744777430
-
Nonlinear dynamics of networks: The groupoid formalism
-
M. GOLUBITSKY AND I. STEWART, Nonlinear dynamics of networks: The groupoid formalism, Bull. Amer. Math. Soc., 43 (2006), pp. 305-364.
-
(2006)
Bull. Amer. Math. Soc
, vol.43
, pp. 305-364
-
-
GOLUBITSKY, M.1
STEWART, I.2
-
14
-
-
0002659841
-
A modular network for legged locomotion
-
M. GOLUBITSKY, I. STEWART, P. L. BUONO, AND J. J. COLLINS, A modular network for legged locomotion, Phys. D, 115 (1998), pp. 56-72.
-
(1998)
Phys. D
, vol.115
, pp. 56-72
-
-
GOLUBITSKY, M.1
STEWART, I.2
BUONO, P.L.3
COLLINS, J.J.4
-
15
-
-
0003483217
-
-
II, Appl. Math. Sci. 69, Springer-Verlag, New York
-
M. GOLUBITSKY, I. STEWART, AND D. G. SCHAEFFER, Singularities and Groups in Bifurcation Theory II, Appl. Math. Sci. 69, Springer-Verlag, New York, 1988.
-
(1988)
Singularities and Groups in Bifurcation Theory
-
-
GOLUBITSKY, M.1
STEWART, I.2
SCHAEFFER, D.G.3
-
16
-
-
11144319940
-
Patterns of synchrony in coupled cell networks with multiple arrows
-
M. GOLUBITSKY, I. STEWART, AND A. TÖRÖ K, Patterns of synchrony in coupled cell networks with multiple arrows, SIAM J. Appl. Dyn. Syst., 4 (2005), pp. 78-100.
-
(2005)
SIAM J. Appl. Dyn. Syst
, vol.4
, pp. 78-100
-
-
GOLUBITSKY, M.1
STEWART, I.2
TÖRÖ K, A.3
-
17
-
-
63049099935
-
-
private communication
-
M. KRUPA, private communication.
-
-
-
KRUPA, M.1
-
18
-
-
33748873318
-
Homogeneous three-cell networks
-
M. C. A. LEITE AND M. GOLUBITSKY, Homogeneous three-cell networks, Nonlinearity, 19 (2006), pp. 2313-2363.
-
(2006)
Nonlinearity
, vol.19
, pp. 2313-2363
-
-
LEITE, M.C.A.1
GOLUBITSKY, M.2
-
19
-
-
4243241129
-
Master stability functions for synchronized coupled systems
-
L. M. PECORA AND T. L. CARROLL, Master stability functions for synchronized coupled systems, Phys. Rev. Lett., 80 (1998), pp. 2109-2112.
-
(1998)
Phys. Rev. Lett
, vol.80
, pp. 2109-2112
-
-
PECORA, L.M.1
CARROLL, T.L.2
-
20
-
-
0003218771
-
Group Theoretic Methods in Bifurcation Theory
-
Springer-Verlag, Berlin
-
D. H. SATTINGER, Group Theoretic Methods in Bifurcation Theory, Lecture Notes in Math. 762, Springer-Verlag, Berlin, 1979.
-
(1979)
Lecture Notes in Math
, vol.762
-
-
SATTINGER, D.H.1
-
21
-
-
3042534417
-
Symmetry groupoids and patterns of synchrony in coupled cell networks
-
I. STEWART, M. GOLUBITSKY, AND M. PIVATO, Symmetry groupoids and patterns of synchrony in coupled cell networks, SIAM J. Appl. Dyn. Syst., 2 (2003), pp. 609-646.
-
(2003)
SIAM J. Appl. Dyn. Syst
, vol.2
, pp. 609-646
-
-
STEWART, I.1
GOLUBITSKY, M.2
PIVATO, M.3
-
22
-
-
36949025701
-
Period dynamics of coupled cell networks I: Rigid patterns of synchrony and phase relations
-
I. STEWART AND M. PARKER, Period dynamics of coupled cell networks I: Rigid patterns of synchrony and phase relations, Dyn. Syst., 22 (2007), pp. 389-450.
-
(2007)
Dyn. Syst
, vol.22
, pp. 389-450
-
-
STEWART, I.1
PARKER, M.2
-
23
-
-
41549140067
-
Period dynamics of coupled cell networks II: Cyclic symmetry
-
I. STEWART AND M. PARKER, Period dynamics of coupled cell networks II: Cyclic symmetry, Dyn. Syst., 23 (2008), pp. 17-41.
-
(2008)
Dyn. Syst
, vol.23
, pp. 17-41
-
-
STEWART, I.1
PARKER, M.2
-
24
-
-
63049137012
-
Period dynamics of coupled cell networks III: Rigid phase patterns
-
to appear
-
I. STEWART AND M. PARKER, Period dynamics of coupled cell networks III: Rigid phase patterns, Dyn. Syst., to appear.
-
Dyn. Syst
-
-
STEWART, I.1
PARKER, M.2
-
26
-
-
63049128201
-
-
private communication, Department of Mathematics, The Ohio State University, Columbus, OH
-
A. VUTHA, private communication, Department of Mathematics, The Ohio State University, Columbus, OH.
-
-
-
VUTHA, A.1
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