-
1
-
-
0001409687
-
Global bifurcations of periodic solutions
-
J. C. ALEXANDER AND J. A. YORKE, Global bifurcations of periodic solutions, Amer. J. Math., 100 (1978), pp. 263-292.
-
(1978)
Amer. J. Math.
, vol.100
, pp. 263-292
-
-
Alexander, J.C.1
Yorke, J.A.2
-
2
-
-
0013064348
-
A primer of nonlinear analysis
-
Cambridge University Press, Cambridge, UK
-
A. AMBROSETTI AND G. PRODI, A Primer of Nonlinear Analysis, Cambridge Stud. Adv. Math. 34, Cambridge University Press, Cambridge, UK, 1992.
-
(1992)
Cambridge Stud. Adv. Math.
, vol.34
-
-
Ambrosetti, A.1
Prodi, G.2
-
3
-
-
0001272459
-
Global uniqueness of homoclinic orbits for a class of fourth-order equations
-
C. J. AMICK AND J. F. TOLAND, Global uniqueness of homoclinic orbits for a class of fourth-order equations, Z. Angew. Math. Phys., 43 (1992), pp. 591-597.
-
(1992)
Z. Angew. Math. Phys.
, vol.43
, pp. 591-597
-
-
Amick, C.J.1
Toland, J.F.2
-
4
-
-
0038239567
-
Closed orbits of Hamiltonian systems on non-compact prescribed energy surfaces
-
M. BOUGHARIOU, Closed orbits of Hamiltonian systems on non-compact prescribed energy surfaces, Discrete Contin. Dynam. Systems, 9 (2003), pp. 603-616.
-
(2003)
Discrete Contin. Dynam. Systems
, vol.9
, pp. 603-616
-
-
Boughariou, M.1
-
6
-
-
1542456741
-
A variational theory of Stokes waves and their sub-harmonic bifurcations
-
preprint; available online find preprint maths9801
-
B. BUFFONI, E. DANCER, AND J. TOLAND, A variational theory of Stokes waves and their sub-harmonic bifurcations, Arch. Ration. Mech. Anal., 2001, preprint; available online from http://www.maths.bath.ac.uk/MATHEMATICS/ preprints.html - find preprint maths9801.
-
(2001)
Arch. Ration. Mech. Anal.
-
-
Buffoni, B.1
Dancer, E.2
Toland, J.3
-
7
-
-
0011452125
-
Global existence of homoclinic and periodic orbits for a class of autonomous Hamiltonian systems
-
B. BUFFONI AND J. F. TOLAND, Global existence of homoclinic and periodic orbits for a class of autonomous Hamiltonian systems, J. Differential Equations, 118 (1995), pp. 104-120.
-
(1995)
J. Differential Equations
, vol.118
, pp. 104-120
-
-
Buffoni, B.1
Toland, J.F.2
-
8
-
-
0000654735
-
Homoclinic orbits in reversible systems and their applications in mechanics, fluids and optics
-
A. R. CHAMPNEYS, Homoclinic orbits in reversible systems and their applications in mechanics, fluids and optics, Phys. D, 112 (1998), pp. 158-186.
-
(1998)
Phys. D
, vol.112
, pp. 158-186
-
-
Champneys, A.R.1
-
9
-
-
33746703799
-
A multiplicity of localized buckling modes for twisted rod equations
-
A. R. CHAMPNEYS AND J. M. T. THOMPSON, A multiplicity of localized buckling modes for twisted rod equations, Proc. Royal Soc. Ser. A, 452 (1996), pp. 2467-2491.
-
(1996)
Proc. Royal Soc. Ser. A
, vol.452
, pp. 2467-2491
-
-
Champneys, A.R.1
Thompson, J.M.T.2
-
12
-
-
33751251449
-
Cellular buckling close to Maxwell load
-
C. J. BUDD, G. W. HUNT, AND R. A. KUSKE, Cellular buckling close to Maxwell load, Proc. Roy. Soc. London Ser. A, 457 (2001), pp. 2935-2964.
-
(2001)
Proc. Roy. Soc. London Ser. A
, vol.457
, pp. 2935-2964
-
-
Budd, C.J.1
Hunt, G.W.2
Kuske, R.A.3
-
13
-
-
0001749209
-
Blue sky catastrophes in reversible and Hamiltonian systems
-
R. L. DEVANEY, Blue sky catastrophes in reversible and Hamiltonian systems, Indiana Univ. Math. J., 26 (1977), pp. 247-263.
-
(1977)
Indiana Univ. Math. J.
, vol.26
, pp. 247-263
-
-
Devaney, R.L.1
-
14
-
-
0003487030
-
AUTO97: Continuation and bifurcation software for ordinary differential equations
-
Department of Computer Science, Concordia University, Montreal, Canada, available by FTP
-
E. J. DOEDEL, A. R. CHAMPNEYS, T. F. FAIRGRIEVE, Y. A. KUZNETSOV, B. SANDSTEDE, AND X.-J. WANG, AUTO97: Continuation and Bifurcation Software for Ordinary Differential Equations, Tech. report, Department of Computer Science, Concordia University, Montreal, Canada, 1997; available by FTP from ftp.cs.concordia.ca in directory pub/doedel/auto.
-
(1997)
Tech. Report
-
-
Doedel, E.J.1
Champneys, A.R.2
Fairgrieve, T.F.3
Kuznetsov, Y.A.4
Sandstede, B.5
Wang, X.-J.6
-
16
-
-
20244389936
-
Bifurcations of periodics from homoclinics in singular ODE: Applications to discretizations of travelling waves of PDE
-
M. FECKAN AND V. ROTHOS, Bifurcations of periodics from homoclinics in singular ODE: Applications to discretizations of travelling waves of PDE, Comm. Pure Appl. Anal., 1 (2002), pp. 475-483.
-
(2002)
Comm. Pure Appl. Anal.
, vol.1
, pp. 475-483
-
-
Feckan, M.1
Rothos, V.2
-
17
-
-
0001708970
-
On the existence of homoclinic, heteroclinic and periodic orbits for a class of indefinite Hamiltonian systems
-
H. HOFER AND J. F. TOLAND, On the existence of homoclinic, heteroclinic and periodic orbits for a class of indefinite Hamiltonian systems, Math. Ann., 12 (1984), pp. 387-403.
-
(1984)
Math. Ann.
, vol.12
, pp. 387-403
-
-
Hofer, H.1
Toland, J.F.2
-
18
-
-
0032647267
-
Homoclinic and heteroclinic orbits underlying the post-buckling of axially compressed cylindrical shells
-
G. W. HUNT, G. J. LORD, AND A. R. CHAMPNEYS, Homoclinic and heteroclinic orbits underlying the post-buckling of axially compressed cylindrical shells, Comput. Methods Mech. Engrg., 170 (1999), pp. 239-251.
-
(1999)
Comput. Methods Mech. Engrg.
, vol.170
, pp. 239-251
-
-
Hunt, G.W.1
Lord, G.J.2
Champneys, A.R.3
-
19
-
-
0033903643
-
Cellular buckling in long structures
-
G. W. HUNT, M. A. PELETIER, A. R. CHAMPNEYS, P. D. WOODS, M. A. WADEE, C. J. BUDD, AND G. J. LORD, Cellular buckling in long structures, Nonlinear Dynamics, 1 (2000), pp. 3-29.
-
(2000)
Nonlinear Dynamics
, vol.1
, pp. 3-29
-
-
Hunt, G.W.1
Peletier, M.A.2
Champneys, A.R.3
Woods, P.D.4
Wadee, M.A.5
Budd, C.J.6
Lord, G.J.7
-
20
-
-
0034343132
-
Homotopy classes for stable periodic and chaotic patterns in fourth-order Hamiltonian systems
-
W. D. KALIES, J. KWAPISZ, J. VAN DEN BERG, AND R. VAN DER VORST, Homotopy classes for stable periodic and chaotic patterns in fourth-order Hamiltonian systems, Comm. Math. Phys., 214 (2000), pp. 573-592.
-
(2000)
Comm. Math. Phys.
, vol.214
, pp. 573-592
-
-
Kalies, W.D.1
Kwapisz, J.2
Van Den Berg, J.3
Van Der Vorst, R.4
-
21
-
-
0001416320
-
Multiple states of intrinsic localised modes
-
Y. S. KIVSHAR, A. R. CHAMPNEYS, D. CAI, AND A. R. BISHOP, Multiple states of intrinsic localised modes, Phys. Rev. B, 58 (1988), pp. 5423-5428.
-
(1988)
Phys. Rev. B
, vol.58
, pp. 5423-5428
-
-
Kivshar, Y.S.1
Champneys, A.R.2
Cai, D.3
Bishop, A.R.4
-
22
-
-
0002338294
-
A general reduction method for periodic solutions in conservative and reversible systems
-
J. KNOBLOCH AND A. VANDERBAUWHEDE, A general reduction method for periodic solutions in conservative and reversible systems, Dyn. Difference Equations, 8 (1996), pp. 71-102.
-
(1996)
Dyn. Difference Equations
, vol.8
, pp. 71-102
-
-
Knobloch, J.1
Vanderbauwhede, A.2
-
23
-
-
0032166142
-
Symmetries and exponential smallness of bifurcation functions of a class of singular, reversible systems
-
C. LAZZARI, Symmetries and exponential smallness of bifurcation functions of a class of singular, reversible systems, Nonlinear Anal., 33 (1998), pp. 759-772.
-
(1998)
Nonlinear Anal.
, vol.33
, pp. 759-772
-
-
Lazzari, C.1
-
24
-
-
0032271989
-
Periodic phases in second-order materials
-
V. J. MIZEL, L. A. PELETIER, AND W. C. TROY, Periodic phases in second-order materials, Arch. Ration. Mech. Anal, 145 (1998), pp. 343-382.
-
(1998)
Arch. Ration. Mech. Anal
, vol.145
, pp. 343-382
-
-
Mizel, V.J.1
Peletier, L.A.2
Troy, W.C.3
-
25
-
-
1942481284
-
Spatial patterns, higher order models in physics and mechanics
-
Birkhäuser Boston, Cambridge, MA
-
L. PELETIER AND W. TROY, Spatial patterns, higher order models in physics and mechanics, Progress in Nonlinear Differential Equations and Their Applications, Vol. 45, Birkhäuser Boston, Cambridge, MA, 2001.
-
(2001)
Progress in Nonlinear Differential Equations and Their Applications
, vol.45
-
-
Peletier, L.1
Troy, W.2
-
26
-
-
0001378357
-
Pulse-like spatial patterns described by higher-order model equations
-
L. A. PELETIER, A. I. ROTARIU-BRUMA, AND W. C. TROY, Pulse-like spatial patterns described by higher-order model equations, J. Differential Equations, 150 (1998), pp. 124-187.
-
(1998)
J. Differential Equations
, vol.150
, pp. 124-187
-
-
Peletier, L.A.1
Rotariu-Bruma, A.I.2
Troy, W.C.3
-
27
-
-
0030578639
-
Chaotic spatial patterns described by the extended Fisher-Kolmogorov equation
-
L. A. PELETIER AND W. C. TROY, Chaotic spatial patterns described by the extended Fisher-Kolmogorov equation, J. Differential Equations, 129 (1996), pp. 458-508.
-
(1996)
J. Differential Equations
, vol.129
, pp. 458-508
-
-
Peletier, L.A.1
Troy, W.C.2
-
28
-
-
0001173202
-
Spatial patterns described by the extended Fisher-Kolmogorov equation: Periodic solutions
-
L. A. PELETIER AND W. C. TROY, Spatial patterns described by the extended Fisher-Kolmogorov equation: Periodic solutions, SIAM J. Math. Anal., 28 (1997), pp. 1318-1354.
-
(1997)
SIAM J. Math. Anal.
, vol.28
, pp. 1318-1354
-
-
Peletier, L.A.1
Troy, W.C.2
-
29
-
-
0033229028
-
Non-existence and uniqueness for fourth-order Hamiltonian systems
-
M. A. PELETIER, Non-existence and uniqueness for fourth-order Hamiltonian systems, Nonlinearity, 12 (1999), pp.1555-1570.
-
(1999)
Nonlinearity
, vol.12
, pp. 1555-1570
-
-
Peletier, M.A.1
-
30
-
-
0000024783
-
Periodic solutions of a Hamiltonian system on a prescribed energy surface
-
P. H. RABINOWITZ, Periodic solutions of a Hamiltonian system on a prescribed energy surface, Differential Equations, 33 (1979), pp. 336-352.
-
(1979)
Differential Equations
, vol.33
, pp. 336-352
-
-
Rabinowitz, P.H.1
-
31
-
-
0041434190
-
The prescribed energy problem for periodic solutions of Hamiltonian systems
-
P. H. RABINOWITZ, The prescribed energy problem for periodic solutions of Hamiltonian systems, Contemp. Math., 81 (1988), pp. 183-191.
-
(1988)
Contemp. Math.
, vol.81
, pp. 183-191
-
-
Rabinowitz, P.H.1
-
32
-
-
0003278083
-
Partial differential equations: Basic theory
-
Springer-Verlag, New York
-
M. TAYLOR, Partial Differential Equations: Basic Theory, Appl. Math. Sci. 1, Springer-Verlag, New York, 1996.
-
(1996)
Appl. Math. Sci.
, vol.1
-
-
Taylor, M.1
-
33
-
-
0036700688
-
Periodic and homoclinic solutions of some semilinear sixthorder differential equations
-
S. TERSIAN AND J. CHAPAROVA, Periodic and homoclinic solutions of some semilinear sixthorder differential equations, J. Math. Anal. Appl., 272 (2002), pp. 223-239.
-
(2002)
J. Math. Anal. Appl.
, vol.272
, pp. 223-239
-
-
Tersian, S.1
Chaparova, J.2
-
34
-
-
84971139450
-
Solitary wave solutions for a model of the two-way propagation of water waves in a channel
-
J. F. TOLAND, Solitary wave solutions for a model of the two-way propagation of water waves in a channel, Math. Proc. Cambridge Philos. Soc., 90 (1981), pp. 343-360.
-
(1981)
Math. Proc. Cambridge Philos. Soc.
, vol.90
, pp. 343-360
-
-
Toland, J.F.1
-
35
-
-
0034628141
-
The phase-plane picture for a class of fourth-order conservative differential equations
-
J. B. VAN DEN BERG, The phase-plane picture for a class of fourth-order conservative differential equations, J. Differential Equations, 161 (2000), pp. 110-153.
-
(2000)
J. Differential Equations
, vol.161
, pp. 110-153
-
-
Van Den Berg, J.B.1
-
36
-
-
0035594306
-
Global branches of multi-bump periodic solutions of the Swift-Hohenberg equation
-
J. B. VAN DEN BERG, L. A. PELETIER, AND W. C. TROY, Global branches of multi-bump periodic solutions of the Swift-Hohenberg equation, Arch. Ration. Mech. Anal, 158 (2001), pp. 91-153.
-
(2001)
Arch. Ration. Mech. Anal
, vol.158
, pp. 91-153
-
-
Van Den Berg, J.B.1
Peletier, L.A.2
Troy, W.C.3
-
37
-
-
0003349466
-
Local bifurcation and symmetry
-
Pitman, London
-
A. VANDERBAUWHEDE, Local bifurcation and symmetry, Res. Notes in Math. 75, Pitman, London, 1982.
-
(1982)
Res. Notes in Math.
, vol.75
-
-
Vanderbauwhede, A.1
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