-
1
-
-
0019668063
-
Large buckled states of nonlinearly elastic rods under torsion, thrust and gravity
-
S. S. Antman and C. S. Kenney. Large buckled states of nonlinearly elastic rods under torsion, thrust and gravity. Arch. Rat. Mech. Anal., 84, 289-338, 1981.
-
(1981)
Arch. Rat. Mech. Anal.
, vol.84
, pp. 289-338
-
-
Antman, S.S.1
Kenney, C.S.2
-
3
-
-
36749121933
-
Theory of twisting and bending of chain macromolecules. Analysis of the fluorescence depolarization of DNA
-
M. D. Barkley and B. H. Zimm. Theory of twisting and bending of chain macromolecules. Analysis of the fluorescence depolarization of DNA. J. Chem. Phys., 70, 2991-3006, 1979.
-
(1979)
J. Chem. Phys.
, vol.70
, pp. 2991-3006
-
-
Barkley, M.D.1
Zimm, B.H.2
-
4
-
-
0027398354
-
Twist and writhe of a DNA loop containing intrinsic bends
-
W. R. Bauer, R. A. Lund, and J. H. White. Twist and writhe of a DNA loop containing intrinsic bends. Proc. Natl. Acad. Sci., 90, 833-837, 1993.
-
(1993)
Proc. Natl. Acad. Sci.
, vol.90
, pp. 833-837
-
-
Bauer, W.R.1
Lund, R.A.2
White, J.H.3
-
5
-
-
0021942906
-
Theoretical analysis of conformational equilibria in superhelical DNA
-
C. J. Benham. Theoretical analysis of conformational equilibria in superhelical DNA. Ann. Rev. Biophys. Chem., 14, 23-45, 1985.
-
(1985)
Ann. Rev. Biophys. Chem.
, vol.14
, pp. 23-45
-
-
Benham, C.J.1
-
6
-
-
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. Roy. Soc. Lond. A, 452, 2467-2491, 1996.
-
(1996)
Proc. Roy. Soc. Lond. A
, vol.452
, pp. 2467-2491
-
-
Champneys, A.R.1
Thompson, J.M.T.2
-
7
-
-
3142583750
-
Spatially complex localisation after one-twist-per-wave equilibria in twisted rod circular rods with initial curvature
-
A. R. Champneys, G. H. M. van der Heiden, and J. M. T. Thompson. Spatially complex localisation after one-twist-per-wave equilibria in twisted rod circular rods with initial curvature. Phil. Trans. Roy. Soc. A, 355, 2151-2174, 1997.
-
(1997)
Phil. Trans. Roy. Soc. A
, vol.355
, pp. 2151-2174
-
-
Champneys, A.R.1
Van Der Heiden, G.H.M.2
Thompson, J.M.T.3
-
8
-
-
21144475420
-
On the dynamics of rods in the theory of Kirchhoff and Clebsch
-
B. D. Coleman, E. H. Dill, M. Lembo, Z. Lu, and I. Tobias. On the dynamics of rods in the theory of Kirchhoff and Clebsch. Arch. Rat. Mech. Anal., 121, 339-359, 1993.
-
(1993)
Arch. Rat. Mech. Anal.
, vol.121
, pp. 339-359
-
-
Coleman, B.D.1
Dill, E.H.2
Lembo, M.3
Lu, Z.4
Tobias, I.5
-
9
-
-
0025418925
-
Analysis of the formation and elimination of loops in twisted cable
-
J. Coyne. Analysis of the formation and elimination of loops in twisted cable. IEEE J. Ocean. Eng., 15, 72-83, 1990.
-
(1990)
IEEE J. Ocean. Eng.
, vol.15
, pp. 72-83
-
-
Coyne, J.1
-
10
-
-
12044252828
-
Pattern formation outside of equilibrium
-
M. C. Cross and P. C. Hohenberg. Pattern formation outside of equilibrium. Rev. Mod. Phys., 65, 1993.
-
(1993)
Rev. Mod. Phys.
, pp. 65
-
-
Cross, M.C.1
Hohenberg, P.C.2
-
11
-
-
0000312790
-
A theoretical model for tilts of bipolar magnetic regions
-
S. Da Silva and A. R. Chouduri. A theoretical model for tilts of bipolar magnetic regions. Astron. Astrophys., 272, 621, 1993.
-
(1993)
Astron. Astrophys.
, vol.272
, pp. 621
-
-
Da Silva, S.1
Chouduri, A.R.2
-
12
-
-
0019578970
-
Amplitude equations at the critical points of unstable dispersive physical systems
-
J. D. Gibbon and M. J. McGuinness. Amplitude equations at the critical points of unstable dispersive physical systems. Proc. Roy. Soc. Lond. A, 377, 185-219, 1981.
-
(1981)
Proc. Roy. Soc. Lond. A
, vol.377
, pp. 185-219
-
-
Gibbon, J.D.1
McGuinness, M.J.2
-
13
-
-
0001678450
-
The Korteweg-de Vries hierarchy as dynamics of closed curves in the plane
-
R. E. Goldstein and D. M. Petrich. The Korteweg-de Vries hierarchy as dynamics of closed curves in the plane. Phys. Rev. Lett., 67, 3203-3206, 1991.
-
(1991)
Phys. Rev. Lett.
, vol.67
, pp. 3203-3206
-
-
Goldstein, R.E.1
Petrich, D.M.2
-
14
-
-
0001245501
-
Nonlinear dynamics of stiff polymers
-
R. E. Goldstein and S. A. Langer. Nonlinear dynamics of stiff polymers. Phys. Rev. Lett., 75, 1094, 1995.
-
(1995)
Phys. Rev. Lett.
, vol.75
, pp. 1094
-
-
Goldstein, R.E.1
Langer, S.A.2
-
15
-
-
0012920014
-
New amplitude equations for thin elastic rods
-
A. Goriely and M. Tabor. New amplitude equations for thin elastic rods. Phys. Rev. Lett., 77, 3537-3540, 1996.
-
(1996)
Phys. Rev. Lett.
, vol.77
, pp. 3537-3540
-
-
Goriely, A.1
Tabor, M.2
-
16
-
-
0002803267
-
Nonlinear dynamics of filaments I: Dynamical instabilities
-
A. Goriely and M. Tabor. Nonlinear dynamics of filaments I: Dynamical instabilities. Physica D, 105, 20-44, 1997.
-
(1997)
Physica D
, vol.105
, pp. 20-44
-
-
Goriely, A.1
Tabor, M.2
-
17
-
-
22244457390
-
Nonlinear dynamics of filaments II: Nonlinear analysis
-
A. Goriely and M. Tabor. Nonlinear dynamics of filaments II: Nonlinear analysis. Physica D, 105, 45-61, 1997.
-
(1997)
Physica D
, vol.105
, pp. 45-61
-
-
Goriely, A.1
Tabor, M.2
-
18
-
-
33746795125
-
Nonlinear dynamics of filaments III: Instabilities of helical rods
-
A. Goriely and M. Tabor. Nonlinear dynamics of filaments III: Instabilities of helical rods. Proc. Roy. Soc. Lond. (A), 453, 2583-2601 1997.
-
(1997)
Proc. Roy. Soc. Lond. (A)
, vol.453
, pp. 2583-2601
-
-
Goriely, A.1
Tabor, M.2
-
19
-
-
33746386391
-
Nonlinear dynamics of filaments IV: Spontaneous looping
-
A. Goriely and M. Tabor. Nonlinear dynamics of filaments IV: Spontaneous looping. Proc. Roy. Soc. Lond. (A), 455, 3183-3202 1998.
-
(1998)
Proc. Roy. Soc. Lond. (A)
, vol.455
, pp. 3183-3202
-
-
Goriely, A.1
Tabor, M.2
-
20
-
-
0347596686
-
Pulses, fronts and oscillations of an elastic rod
-
A. Goriely and J. Lega. Pulses, fronts and oscillations of an elastic rod. Physica D, 32, 373-91 1999.
-
(1999)
Physica D
, vol.32
, pp. 373-391
-
-
Goriely, A.1
Lega, J.2
-
21
-
-
0009299057
-
Elastic model of DNA supercoiling in the infinite length limit
-
N. G. Hunt and J. E. Hearst. Elastic model of DNA supercoiling in the infinite length limit. J. Chem. Phys., 12, 9329-9336, 1991.
-
(1991)
J. Chem. Phys.
, vol.12
, pp. 9329-9336
-
-
Hunt, N.G.1
Hearst, J.E.2
-
22
-
-
0025384799
-
Knotted vortex filamnent in an ideal fluid
-
J. P. Keener. Knotted vortex filamnent in an ideal fluid. J. Fluid Mech., 211, 629-651, 1990.
-
(1990)
J. Fluid Mech.
, vol.211
, pp. 629-651
-
-
Keener, J.P.1
-
23
-
-
36749108084
-
Solitons on moving space curves
-
G. L. Lamb, Jr. Solitons on moving space curves. J. Math. Phys., 18, 1654-1661, 1977.
-
(1977)
J. Math. Phys.
, vol.18
, pp. 1654-1661
-
-
Lamb G.L., Jr.1
-
25
-
-
0002846809
-
Poisson geometry of the filament equation
-
J. Langer and R. Perline. Poisson geometry of the filament equation. J. Nonlin. Sci., 1, 71-93, 1991.
-
(1991)
J. Nonlin. Sci.
, vol.1
, pp. 71-93
-
-
Langer, J.1
Perline, R.2
-
27
-
-
0023817889
-
Spatially complex equilibria of buckled rods
-
A. Mielke and A. Holmes. Spatially complex equilibria of buckled rods. Arch. Rat. Mech. Anal., 101, 319-348, 1988.
-
(1988)
Arch. Rat. Mech. Anal.
, vol.101
, pp. 319-348
-
-
Mielke, A.1
Holmes, A.2
-
28
-
-
11944273601
-
Integrability and the motion of curves
-
K. Nakayama, H. Segur, and M. Wadati. Integrability and the motion of curves. Phys. Rev. Lett., 69, 2603-2606, 1992.
-
(1992)
Phys. Rev. Lett.
, vol.69
, pp. 2603-2606
-
-
Nakayama, K.1
Segur, H.2
Wadati, M.3
-
29
-
-
0014662728
-
Finite bandwidth, finite amplitude convection
-
A. C. Newell and J. A. Whitehead. Finite bandwidth, finite amplitude convection. J. Fluid Mech., 38, 279-303, 1969.
-
(1969)
J. Fluid Mech.
, vol.38
, pp. 279-303
-
-
Newell, A.C.1
Whitehead, J.A.2
-
31
-
-
0033242309
-
Towards a classification of Euler-Kirchhoff filaments
-
M. Nizette and A. Goriely. Towards a classification of Euler-Kirchhoff filaments. J. Math. Phys., 40, 2830-2866, 1999.
-
(1999)
J. Math. Phys.
, vol.40
, pp. 2830-2866
-
-
Nizette, M.1
Goriely, A.2
-
33
-
-
0026644556
-
Trefoil knotting revealed by molecular dynamics simulations of supercoiled DNA
-
T. Schlick and W. K. Olson. Trefoil knotting revealed by molecular dynamics simulations of supercoiled DNA. Science, 257, 1110-1114, 1992.
-
(1992)
Science
, vol.257
, pp. 1110-1114
-
-
Schlick, T.1
Olson, W.K.2
-
34
-
-
0029715072
-
The nonlocal dynamics of stretching, buckling filaments
-
SIAM, Philadelphia
-
M. J. Shelley and T. Ueda. The nonlocal dynamics of stretching, buckling filaments. In Advances in multifluid flows, pages 415-425. SIAM, Philadelphia, 1996.
-
(1996)
Advances in Multifluid Flows
, pp. 415-425
-
-
Shelley, M.J.1
Ueda, T.2
-
35
-
-
0000321788
-
The Kirchhoff elastic rod, the nonlinear Schrödinger equation and DNA supercoiling
-
Y. Shi and J. E. Hearst. The Kirchhoff elastic rod, the nonlinear Schrödinger equation and DNA supercoiling. J. Chem. Phys., 101, 5186-5200, 1994.
-
(1994)
J. Chem. Phys.
, vol.101
, pp. 5186-5200
-
-
Shi, Y.1
Hearst, J.E.2
-
37
-
-
0000600751
-
Motion of magnetic flux tubes in the solar convection zone and chromosphere
-
H. C. Spruit. Motion of magnetic flux tubes in the solar convection zone and chromosphere. Astron. Astrophys., 98, 155, 1981.
-
(1981)
Astron. Astrophys.
, vol.98
, pp. 155
-
-
Spruit, H.C.1
-
38
-
-
0000111802
-
From helix to localized writhing in the torsional postbuckling of elastic rods
-
J. M. T. Thompson and A. R. Champneys. From helix to localized writhing in the torsional postbuckling of elastic rods. Proc. Roy. Soc. Lond. A, 452, 117-138, 1996.
-
(1996)
Proc. Roy. Soc. Lond. A
, vol.452
, pp. 117-138
-
-
Thompson, J.M.T.1
Champneys, A.R.2
-
39
-
-
0032153720
-
The spatial complexity of localized buckling in rods with noncircular cross section
-
G. H. M. van der Heijden, A. R. Champneys, and J. M. T. Thompson. The spatial complexity of localized buckling in rods with noncircular cross section. SIAM J. Appl. Math., 59, 198-221, 1997.
-
(1997)
SIAM J. Appl. Math.
, vol.59
, pp. 198-221
-
-
Van Der Heijden, G.H.M.1
Champneys, A.R.2
Thompson, J.M.T.3
-
40
-
-
0001134587
-
Lock-on to tapelike behaviour in the torsional buckling of anistropic rods
-
G. H. M. van der Heijden and J. M. Thompson. Lock-on to tapelike behaviour in the torsional buckling of anistropic rods. Physica D, 112, 201-224, 1998.
-
(1998)
Physica D
, vol.112
, pp. 201-224
-
-
Van Der Heijden, G.H.M.1
Thompson, J.M.2
-
41
-
-
0000091323
-
Finite element analysis of DNA supercoiling
-
Y. Yang, I. Tobias, and W. K. Olson. Finite element analysis of DNA supercoiling. J. Chem. Phys., 98, 1673-1686, 1993.
-
(1993)
J. Chem. Phys.
, vol.98
, pp. 1673-1686
-
-
Yang, Y.1
Tobias, I.2
Olson, W.K.3
-
42
-
-
85024530638
-
Stability of two planar loop elasticas
-
March
-
E. E. Zajac. Stability of two planar loop elasticas. Transactions of the ASME, 136-142, March 1962.
-
(1962)
Transactions of the ASME
, pp. 136-142
-
-
Zajac, E.E.1
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