-
1
-
-
0002512816
-
Homoclinic orbits in the dynamic phase space analogy of an elastic strut
-
Amick, G. J. & Toland, J. F. 1992 Homoclinic orbits in the dynamic phase space analogy of an elastic strut. Eur. J. Appl. Math. 3, 97-114.
-
(1992)
Eur. J. Appl. Math.
, vol.3
, pp. 97-114
-
-
Amick, G.J.1
Toland, J.F.2
-
2
-
-
0002781287
-
Qualitative aspects of the spatial deformation of non-linearly elastic rods
-
Antman, S. S. &: Jordan, K. B. 1974 Qualitative aspects of the spatial deformation of non-linearly elastic rods. Proc. R. Soc. Edin. A 73, 85-105.
-
(1974)
Proc. R. Soc. Edin. a
, vol.73
, pp. 85-105
-
-
Antman, S.S.1
Jordan, K.B.2
-
3
-
-
0019668063
-
Large buckled states of nonlinearly elastic rods under torsion, thrust and gravity
-
Antman, S. S. & Kenney, C. S. 1981 Large buckled states of nonlinearly elastic rods under torsion, thrust and gravity. Arch. Ration. Mech. Analysis 84, 289-338.
-
(1981)
Arch. Ration. Mech. Analysis
, vol.84
, pp. 289-338
-
-
Antman, S.S.1
Kenney, C.S.2
-
5
-
-
0001340513
-
The numerical computation of connecting orbits in dynamical systems
-
Beyn, W.-J. 1990 The numerical computation of connecting orbits in dynamical systems. IMA J. Numer. Analysis 9, 379-405.
-
(1990)
IMA J. Numer. Analysis
, vol.9
, pp. 379-405
-
-
Beyn, W.-J.1
-
6
-
-
0000144949
-
Periodic and homoclinic orbits for Lorenz-Lagrangian systems via variational methods
-
Buffoni, B. 1996 Periodic and homoclinic orbits for Lorenz-Lagrangian systems via variational methods. Nonlin. Analysis Theor. Methods Appl. 26, 443-462.
-
(1996)
Nonlin. Analysis Theor. Methods Appl.
, vol.26
, pp. 443-462
-
-
Buffoni, B.1
-
7
-
-
0011452125
-
Global bifurcation of homoclinic and periodic orbits for autonomous Hamiltonian systems
-
Buffoni, B. &: Toland, J. F. 1995 Global bifurcation of homoclinic and periodic orbits for autonomous Hamiltonian systems. J. Diffl Equal. 118, 104-120.
-
(1995)
J. Diffl Equal.
, vol.118
, pp. 104-120
-
-
Buffoni, B.1
Toland, J.F.2
-
8
-
-
53349120754
-
Bifurcation and coalescence of a plethora of homoclinic orbits for a Hamiltonian system
-
Buffoni, B., Champneys, A. R. & Toland, J. F. 1996a Bifurcation and coalescence of a plethora of homoclinic orbits for a Hamiltonian system. J. Dynamics Diffl Equal. 8, 221-281.
-
(1996)
J. Dynamics Diffl Equal.
, vol.8
, pp. 221-281
-
-
Buffoni, B.1
Champneys, A.R.2
Toland, J.F.3
-
9
-
-
0029656885
-
A plethora of solitary gravity-capillary water waves with nearly critical Bond and Froude numbers
-
Buffoni, B. Groves, M. D. & Toland, J. F. 19966 A plethora of solitary gravity-capillary water waves with nearly critical Bond and Froude numbers. Phil. Trans. R. Soc. Lond. A 354, 575-607.
-
(1996)
Phil. Trans. R. Soc. Lond. a
, vol.354
, pp. 575-607
-
-
Buffoni, B.1
Groves, M.D.2
Toland, J.F.3
-
10
-
-
0021897750
-
Post-buckling behaviour of a non-linearly hyperelastic thin rod with cross-section invariant under the dihedral group Dn
-
Buzano, E., Geymonat, G. & Poston, T. 1985 Post-buckling behaviour of a non-linearly hyperelastic thin rod with cross-section invariant under the dihedral group Dn. Arch. Ration. Mech. Analysis 89, 307-388.
-
(1985)
Arch. Ration. Mech. Analysis
, vol.89
, pp. 307-388
-
-
Buzano, E.1
Geymonat, G.2
Poston, T.3
-
11
-
-
21844508998
-
Subsidiary homoclinic orbits to a saddle-focus for reversible systems
-
Champneys, A. R. 1994 Subsidiary homoclinic orbits to a saddle-focus for reversible systems. Int. J. Bifurc. Chaos 4, 1447-1482.
-
(1994)
Int. J. Bifurc. Chaos
, vol.4
, pp. 1447-1482
-
-
Champneys, A.R.1
-
12
-
-
0001803221
-
Hunting for homoclinic orbits in reversible systems: A shooting technique
-
Champneys, A. R. &: Spence, A. 1993 Hunting for homoclinic orbits in reversible systems: a shooting technique. Adv. Comp. Math. 1, 81-108
-
(1993)
Adv. Comp. Math.
, vol.1
, pp. 81-108
-
-
Champneys, A.R.1
Spence, A.2
-
13
-
-
36149031023
-
Bifurcation of a plethora of multi-modal homoclinic orbits for autonomous Hamiltonian systems
-
Champneys, A. R. & Toland, J. F. 1993 Bifurcation of a plethora of multi-modal homoclinic orbits for autonomous Hamiltonian systems. Nonlinearity 6, 665-721.
-
(1993)
Nonlinearity
, vol.6
, pp. 665-721
-
-
Champneys, A.R.1
Toland, J.F.2
-
14
-
-
21144475420
-
On the dynamics of rods in the theory of Kirchhoff and Clebsch
-
Coleman, B. D., Dill, E. H., Lembo, M., Lu, Z. &: Tobias, I. 1993 On the dynamics of rods in the theory of Kirchhoff and Clebsch. Arch. Ration. Mech. Analysis 121, 339-359.
-
(1993)
Arch. Ration. Mech. Analysis
, vol.121
, pp. 339-359
-
-
Coleman, B.D.1
Dill, E.H.2
Lembo, M.3
Lu, Z.4
Tobias, I.5
-
15
-
-
0025418925
-
Analysis of the formation and elimination of loops in twisted cable
-
Coyne, J. 1990 Analysis of the formation and elimination of loops in twisted cable. IEEE J. Oceanic Engng 15, 71-83.
-
(1990)
IEEE J. Oceanic Engng
, vol.15
, pp. 71-83
-
-
Coyne, J.1
-
16
-
-
7644242120
-
3-D spatial chaos in the elastica and the spinning top: Kirchhoff analogy
-
Davies, M. A. & Moon, F. C. 1993 3-D spatial chaos in the elastica and the spinning top: Kirchhoff analogy. Chaos 3, 93-99.
-
(1993)
Chaos
, vol.3
, pp. 93-99
-
-
Davies, M.A.1
Moon, F.C.2
-
17
-
-
0000107832
-
Homoclinic orbits in Hamiltonian systems
-
Devaney, R. L. 1976o Homoclinic orbits in Hamiltonian systems. J. Diffl Equat. 21, 431-438.
-
(1976)
J. Diffl Equat.
, vol.21
, pp. 431-438
-
-
Devaney, R.L.1
-
18
-
-
84914748272
-
Reversible diffeomorphisms and flows
-
Devaney, R. L. 1976 & Reversible diffeomorphisms and flows. Trans. Am. Math. Soc. 218, 89-113.
-
(1976)
Trans. Am. Math. Soc.
, vol.218
, pp. 89-113
-
-
Devaney, R.L.1
-
19
-
-
0000378934
-
Numerical analysis and control of bifurcation problems
-
Doedel, E. J., Keller, H. B. & Kernévez, J. P. 1991 Numerical analysis and control of bifurcation problems. II. Bifurcation in infinite dimensions. Int. J. Bifurc. Chaos 1, 745-772.
-
(1991)
II. Bifurcation in Infinite Dimensions. Int. J. Bifurc. Chaos
, vol.1
, pp. 745-772
-
-
Doedel, E.J.1
Keller, H.B.2
Kernévez, J.P.3
-
21
-
-
33746707834
-
Kaskaden homokliner Orbits in reversiblen dynamischen Systemen
-
Härterich, J. 1993 Kaskaden homokliner Orbits in reversiblen dynamischen Systemen. Universität Stuttgart.
-
(1993)
Universität Stuttgart.
-
-
Härterich, J.1
-
22
-
-
0000925235
-
Comparative Lagrangian formulations for localized buckling
-
Hunt, G. W. & Wadee, M. K. 1991 Comparative Lagrangian formulations for localized buckling. Proc. R. Soc. Land. A 434, 485-502.
-
(1991)
Proc. R. Soc. Land. a
, vol.434
, pp. 485-502
-
-
Hunt, G.W.1
Wadee, M.K.2
-
23
-
-
0007859149
-
Structural localization phenomena and the dynamical phase-space analogy
-
Hunt, G. W., Bolt, H. M. & Thompson, J. M. T. 1989 Structural localization phenomena and the dynamical phase-space analogy. Proc. R. Soc. Land. A 425, 245-267.
-
(1989)
Proc. R. Soc. Land. a
, vol.425
, pp. 245-267
-
-
Hunt, G.W.1
Bolt, H.M.2
Thompson, J.M.T.3
-
25
-
-
0001933877
-
Water waves for small surface tension: An approach via normal form
-
looss, G. & Kirchgässner, K. 1992 Water waves for small surface tension: an approach via normal form. Proc. R. Soc. Edinb. A112, 267-299.
-
(1992)
Proc. R. Soc. Edinb. a
, vol.112
, pp. 267-299
-
-
Looss, G.1
Kirchgässner, K.2
-
26
-
-
43949176143
-
Perturbed homoclinic solutions in reversible 1:1 resonance vector fields
-
looss, G. & Peroueme, M. C. 1993 Perturbed homoclinic solutions in reversible 1:1 resonance vector fields. J. Diffl Equat. 102, 62-88.
-
(1993)
J. Diffl Equat.
, vol.102
, pp. 62-88
-
-
Looss, G.1
Peroueme, M.C.2
-
27
-
-
84948377536
-
Über das Gleichgewicht und die Bewegung eines unendlich dünnen elastischen Stabes
-
Kirchhoff, G. 1859 Über das Gleichgewicht und die Bewegung eines unendlich dünnen elastischen Stabes. J. Mathematik (Grelle) 56, 285-313.
-
(1859)
J. Mathematik (Grelle)
, vol.56
, pp. 285-313
-
-
Kirchhoff, G.1
-
30
-
-
0003786889
-
A treatise on the mathematical theory of elasticity, 4th edn
-
Love, A. E. H. 1927 A treatise on the mathematical theory of elasticity, 4th edn. Cambridge University Press.
-
(1927)
Cambridge University Press.
-
-
Love, A.E.H.1
-
31
-
-
0002599173
-
Conservation laws in the dynamics of rods
-
Maddocks, J. H. & Dichman, D. 1994 Conservation laws in the dynamics of rods. J. Elasticity 34, 83-96.
-
(1994)
J. Elasticity
, vol.34
, pp. 83-96
-
-
Maddocks, J.H.1
Dichman, D.2
-
32
-
-
33746739797
-
Constrained variational principles and stability in Hamiltonian systems
-
The IMA Volumes in Mathematics and Its Applications, vol. 63.
-
Maddocks, J. H. & Sachs, R. L. 1995 Constrained variational principles and stability in Hamiltonian systems. In Hamiltonian dynamical systems (ed. H. S. Dumas, K. R. Meyer &: D. S. Schmidt), pp. 231-264. The IMA Volumes in Mathematics and Its Applications, vol. 63.
-
(1995)
In Hamiltonian Dynamical Systems (Ed. H. S. Dumas, K. R. Meyer &: D. S. Schmidt)
, pp. 231-264
-
-
Maddocks, J.H.1
Sachs, R.L.2
-
35
-
-
0023817889
-
Spatially complex equilibria of buckled rods
-
Mielke, A. & Holmes, P. 1988 Spatially complex equilibria of buckled rods. Arch. Ration. Mech. Analysis 101, 319-348.
-
(1988)
Arch. Ration. Mech. Analysis
, vol.101
, pp. 319-348
-
-
Mielke, A.1
Holmes, P.2
-
36
-
-
33746692237
-
Singularity theory and the buckling of rods
-
Pierce, J. 1991 Singularity theory and the buckling of rods. Berlin: Springer.
-
(1991)
Berlin: Springer.
-
-
Pierce, J.1
-
37
-
-
0000111802
-
From helix to localized writhing in the torsional post buckling of elastic rods
-
Thompson, J. M. T. & Champneys, A. R. 1996 From helix to localized writhing in the torsional post buckling of elastic rods. Proc. R. Soc. Land. A452, 117-138.
-
(1996)
Proc. R. Soc. Land. a
, vol.452
, pp. 117-138
-
-
Thompson, J.M.T.1
Champneys, A.R.2
-
38
-
-
0007089881
-
Spatial chaos and localisation phenomena in nonlinear elasticity
-
Thompson, J. M. T. & Virgin, L. N. 1988 Spatial chaos and localisation phenomena in nonlinear elasticity. Phys. Lett. A126, 491-496.
-
(1988)
Phys. Lett. a
, vol.126
, pp. 491-496
-
-
Thompson, J.M.T.1
Virgin, L.N.2
-
39
-
-
33746747862
-
Lock-on to tape-like behaviour in the torsional buckling of anisotropic rods
-
van der Heijden, G. H. M. & Thompson, J. M. T. 1996 Lock-on to tape-like behaviour in the torsional buckling of anisotropic rods. Report, Centre for Nonlinear Dynamics, University College London, October 1996.
-
(1996)
Report, Centre for Nonlinear Dynamics, University College London, October
, pp. 1996
-
-
Van Der Heijden, G.H.M.1
Thompson, J.M.T.2
-
40
-
-
33746670936
-
Load-deflection characteristics of localized torsional buckling modes in rods with non-circular cross-section
-
van der Heijden, G. H. M., Champneys, A. R. & Thompson, J. M. T. 1996 Load-deflection characteristics of localized torsional buckling modes in rods with non-circular cross-section. Report, Centre for Nonlinear Dynamics, University College London, July 1996. SIAM Jl Appl. Math. (Submitted.)
-
(1996)
Report, Centre for Nonlinear Dynamics, University College London, July
, vol.1996
-
-
Van Der Heijden, G.H.M.1
Champneys, A.R.2
Thompson, J.M.T.3
|