-
1
-
-
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., " Physica D 112, 158-186 (1998).
-
(1998)
Physica D
, vol.112
, pp. 158-186
-
-
Champneys, A.R.1
-
2
-
-
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 Dyn. 21, 3-29 (2000).
-
(2000)
Nonlinear Dyn.
, vol.21
, 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
-
3
-
-
0028494346
-
Localized structures and localized patterns in optical bistability
-
M. Tlidi, P. Mandel, and R. Lefever, " Localized structures and localized patterns in optical bistability., " Phys. Rev. Lett. 73, 640-643 (1994).
-
(1994)
Phys. Rev. Lett.
, vol.73
, pp. 640-643
-
-
Tlidi, M.1
Mandel, P.2
Lefever, R.3
-
4
-
-
0001331683
-
Spatiotemporal patterns and localized structures in nonlinear optics
-
M. Tlidi, P. Mandel, and M. Haelterman, " Spatiotemporal patterns and localized structures in nonlinear optics., " Phys. Rev. E 56, 6524-6530 (1997).
-
(1997)
Phys. Rev. e
, vol.56
, pp. 6524-6530
-
-
Tlidi, M.1
Mandel, P.2
Haelterman, M.3
-
5
-
-
41349107344
-
Computationally determined existence and stability of transverse structures. II. Multipeaked cavity solitons
-
J. M. McSloy, W. J. Firth, G. K. Harkness, and G.-L. Oppo, " Computationally determined existence and stability of transverse structures. II. Multipeaked cavity solitons., " Phys. Rev. E 66, 046606 (2002).
-
(2002)
Phys. Rev. e
, vol.66
, pp. 046606
-
-
McSloy, J.M.1
Firth, W.J.2
Harkness, G.K.3
Oppo, G.-L.4
-
6
-
-
41349084544
-
Two-dimensional clusters of solitary structures in driven optical cavities
-
A. G. Vladimirov, J. M. McSloy, D. V. Skryabin, and W. J. Firth, " Two-dimensional clusters of solitary structures in driven optical cavities., " Phys. Rev. E 65, 046606 (2002).
-
(2002)
Phys. Rev. e
, vol.65
, pp. 046606
-
-
Vladimirov, A.G.1
McSloy, J.M.2
Skryabin, D.V.3
Firth, W.J.4
-
7
-
-
33847292960
-
Bifurcation structure of dissipative solitons
-
D. Gomila, A. J. Scroggie, and W. J. Firth, " Bifurcation structure of dissipative solitons., " Physica D 227, 70-77 (2007).
-
(2007)
Physica D
, vol.227
, pp. 70-77
-
-
Gomila, D.1
Scroggie, A.J.2
Firth, W.J.3
-
8
-
-
0028242433
-
Experimental observation of self-replicating spots in a reaction-diffusion system
-
K. J. Lee, W. D. McCormick, J. E. Pearson, and H. L. Swinney, " Experimental observation of self-replicating spots in a reaction-diffusion system., " Nature 369, 215-218 (1994).
-
(1994)
Nature
, vol.369
, pp. 215-218
-
-
Lee, K.J.1
McCormick, W.D.2
Pearson, J.E.3
Swinney, H.L.4
-
9
-
-
0347038753
-
A skeleton structure of self-replicating dynamics
-
Y. Nishiura and D. Ueyama, " A skeleton structure of self-replicating dynamics., " Physica D 130, 73-104 (1999).
-
(1999)
Physica D
, vol.130
, pp. 73-104
-
-
Nishiura, Y.1
Ueyama, D.2
-
10
-
-
0000614143
-
Confined states in large-aspect-ratio thermosolutal convection
-
A. Spina, J. Toomre, and E. Knobloch, " Confined states in large-aspect-ratio thermosolutal convection., " Phys. Rev. E 57, 524-545 (1998).
-
(1998)
Phys. Rev. e
, vol.57
, pp. 524-545
-
-
Spina, A.1
Toomre, J.2
Knobloch, E.3
-
11
-
-
28844493967
-
Simulations of localized states of stationary convection in He3 - He4 mixtures
-
O. Batiste and E. Knobloch, " Simulations of localized states of stationary convection in He3 - He4 mixtures., " Phys. Rev. Lett. 95, 244501 (2005).
-
(2005)
Phys. Rev. Lett.
, vol.95
, pp. 244501
-
-
Batiste, O.1
Knobloch, E.2
-
12
-
-
33748286006
-
Spatially localized binary fluid convection
-
O. Batiste, E. Knobloch, A. Alonso, and I. Mercader, " Spatially localized binary fluid convection., " J. Fluid Mech. 560, 149-158 (2006).
-
(2006)
J. Fluid Mech.
, vol.560
, pp. 149-158
-
-
Batiste, O.1
Knobloch, E.2
Alonso, A.3
Mercader, I.4
-
13
-
-
0347875992
-
Magnetohydrodynamic convectons
-
S. Blanchflower, " Magnetohydrodynamic convectons., " Phys. Lett. A 261, 74-81 (1999).
-
(1999)
Phys. Lett. A
, vol.261
, pp. 74-81
-
-
Blanchflower, S.1
-
14
-
-
0037018006
-
Three-dimensional magnetohydrodynamic convectons
-
S. Blanchflower and N. O. Weiss, " Three-dimensional magnetohydrodynamic convectons., " Phys. Lett. A 294, 297-303 (2002).
-
(2002)
Phys. Lett. A
, vol.294
, pp. 297-303
-
-
Blanchflower, S.1
Weiss, N.O.2
-
15
-
-
33846027126
-
Localized convection cells in the presence of a vertical magnetic field
-
J. H. P. Dawes, " Localized convection cells in the presence of a vertical magnetic field., " J. Fluid Mech. 570, 385-406 (2007).
-
(2007)
J. Fluid Mech.
, vol.570
, pp. 385-406
-
-
Dawes, J.H.P.1
-
16
-
-
0036706393
-
Multiple bumps in a neuronal model of working memory
-
C. R. Laing, W. C. Troy, B. Gutkin, and G. B. Ermentrout, " Multiple bumps in a neuronal model of working memory., " SIAM J. Appl. Math. 63, 62-97 (2002).
-
(2002)
SIAM J. Appl. Math.
, vol.63
, pp. 62-97
-
-
Laing, C.R.1
Troy, W.C.2
Gutkin, B.3
Ermentrout, G.B.4
-
18
-
-
27144464510
-
Two-dimensional solitons on the surface of magnetic fluids
-
R. Richter and I. V. Barashenkov, " Two-dimensional solitons on the surface of magnetic fluids., " Phys. Rev. Lett. 94, 184503 (2005).
-
(2005)
Phys. Rev. Lett.
, vol.94
, pp. 184503
-
-
Richter, R.1
Barashenkov, I.V.2
-
19
-
-
0029663241
-
Localized excitations in a vertically vibrated granular layer
-
P. B. Umbanhowar, F. Melo, and H. L. Swinney, " Localized excitations in a vertically vibrated granular layer., " Nature 382, 793-796 (1996).
-
(1996)
Nature
, vol.382
, pp. 793-796
-
-
Umbanhowar, P.B.1
Melo, F.2
Swinney, H.L.3
-
20
-
-
0001548087
-
Oscillons and propagating solitary waves in a vertically vibrated colloidal suspension
-
O. Lioubashevski, Y. Hamiel, A. Agnon, Z. Reches, and J. Fineberg, " Oscillons and propagating solitary waves in a vertically vibrated colloidal suspension., " Phys. Rev. Lett. 83, 3190-3193 (1999).
-
(1999)
Phys. Rev. Lett.
, vol.83
, pp. 3190-3193
-
-
Lioubashevski, O.1
Hamiel, Y.2
Agnon, A.3
Reches, Z.4
Fineberg, J.5
-
21
-
-
33845738830
-
Reciprocal oscillons and nonmonotonic fronts in forced nonequilibrium systems
-
A. Yochelis, J. Burke, and E. Knobloch, " Reciprocal oscillons and nonmonotonic fronts in forced nonequilibrium systems., " Phys. Rev. Lett. 97, 254501 (2006).
-
(2006)
Phys. Rev. Lett.
, vol.97
, pp. 254501
-
-
Yochelis, A.1
Burke, J.2
Knobloch, E.3
-
22
-
-
53349120754
-
Bifurcation and coalescence of a plethora of homoclinic orbits for a Hamiltonian system
-
B. Buffoni, A. R. Champneys, and J. F. Toland, " Bifurcation and coalescence of a plethora of homoclinic orbits for a Hamiltonian system., " J. Dyn. Differ. Equ. 8, 221-279 (1996).
-
(1996)
J. Dyn. Differ. Equ.
, vol.8
, pp. 221-279
-
-
Buffoni, B.1
Champneys, A.R.2
Toland, J.F.3
-
25
-
-
33744829750
-
Localized states in the generalized Swift-Hohenberg equation
-
J. Burke and E. Knobloch, " Localized states in the generalized Swift-Hohenberg equation., " Phys. Rev. E 73, 056211 (2006).
-
(2006)
Phys. Rev. e
, vol.73
, pp. 056211
-
-
Burke, J.1
Knobloch, E.2
-
26
-
-
33751252789
-
Snakes and ladders: Localized states in the Swift-Hohenberg equation
-
J. Burke and E. Knobloch, " Snakes and ladders: localized states in the Swift-Hohenberg equation., " Phys. Lett. A 360, 681-688 (2007).
-
(2007)
Phys. Lett. A
, vol.360
, pp. 681-688
-
-
Burke, J.1
Knobloch, E.2
-
27
-
-
0000068178
-
Pattern selection in the generalized Swift-Hohenberg model
-
M. F. Hilali, S. Ḿtens, P. Borckmans, and G. Dewel, " Pattern selection in the generalized Swift-Hohenberg model., " Phys. Rev. E 51, 2046-2052 (1995).
-
(1995)
Phys. Rev. e
, vol.51
, pp. 2046-2052
-
-
Hilali, M.F.1
Ḿtens, S.2
Borckmans, P.3
Dewel, G.4
-
28
-
-
0000837163
-
Stable localized solutions of arbitrary length for the quintic Swift-Hohenberg equation
-
H. Sakaguchi and H. R. Brand, " Stable localized solutions of arbitrary length for the quintic Swift-Hohenberg equation., " Physica D 97, 274-285 (1996).
-
(1996)
Physica D
, vol.97
, pp. 274-285
-
-
Sakaguchi, H.1
Brand, H.R.2
-
29
-
-
0000841505
-
Stable static localized structures in one dimension
-
P. Coullet, C. Riera, and C. Tresser, " Stable static localized structures in one dimension., " Phys. Rev. Lett. 84, 3069-3072 (2000).
-
(2000)
Phys. Rev. Lett.
, vol.84
, pp. 3069-3072
-
-
Coullet, P.1
Riera, C.2
Tresser, C.3
-
31
-
-
43949176143
-
Perturbed homoclinic solutions in reversible 1:1 resonance vector fields
-
G. Iooss and M. C. Ṕroùme, " Perturbed homoclinic solutions in reversible 1:1 resonance vector fields., " J. Differ. Equations 102, 62-88 (1993).
-
(1993)
J. Differ. Equations
, vol.102
, pp. 62-88
-
-
Iooss, G.1
Ṕroùme, M.C.2
-
33
-
-
43949152904
-
Solitary waves with damped oscillatory tails: An analysis of the fifth-order Korteweg-de Vries equation
-
R. Grimshaw, B. Malomed, and E. Benilov, " Solitary waves with damped oscillatory tails: an analysis of the fifth-order Korteweg-de Vries equation., " Physica D 77, 473-485 (1994).
-
(1994)
Physica D
, vol.77
, pp. 473-485
-
-
Grimshaw, R.1
Malomed, B.2
Benilov, E.3
-
34
-
-
0007409129
-
Wave number selection in convection and related problems
-
A. A. Nepomnyashchy, M. I. Tribelsky, and M. G. Velarde, " Wave number selection in convection and related problems., " Phys. Rev. E 50, 1194-1197 (1994).
-
(1994)
Phys. Rev. e
, vol.50
, pp. 1194-1197
-
-
Nepomnyashchy, A.A.1
Tribelsky, M.I.2
Velarde, M.G.3
-
35
-
-
0346500773
-
Heteroclinic tangles and homoclinic snaking in the unfolding of a degenerate reversible Hamiltonian-Hopf bifurcation
-
P. D. Woods and A. R. Champneys, " Heteroclinic tangles and homoclinic snaking in the unfolding of a degenerate reversible Hamiltonian-Hopf bifurcation., " Physica D 129, 147-170 (1999).
-
(1999)
Physica D
, vol.129
, pp. 147-170
-
-
Woods, P.D.1
Champneys, A.R.2
-
36
-
-
33746376262
-
Asymptotics of large bound states of localized structures
-
G. Kozyreff and S. J. Chapman, " Asymptotics of large bound states of localized structures., " Phys. Rev. Lett. 97, 044502 (2006).
-
(2006)
Phys. Rev. Lett.
, vol.97
, pp. 044502
-
-
Kozyreff, G.1
Chapman, S.J.2
-
37
-
-
84995326931
-
-
E. Doedel, R. C. Paffenroth, A. R. Champneys, T. F. Fairgrieve, Y. A. Kuznetsov, B. E. Oldeman, B. Sandstede, and X. Wang, AUTO2000, Technical Report, Concordia University (2002).
-
(2002)
-
-
Doedel, E.1
Paffenroth, R.C.2
Champneys, A.R.3
Fairgrieve, T.F.4
Kuznetsov, Y.A.5
Oldeman, B.E.6
Sandstede, B.7
Wang, X.8
-
38
-
-
0031485993
-
Convergence estimates for the numerical approximation of homoclinic solutions
-
B. Sandstede, " Convergence estimates for the numerical approximation of homoclinic solutions., " IMA J. Numer. Anal. 17, 437-462 (1997).
-
(1997)
IMA J. Numer. Anal.
, vol.17
, pp. 437-462
-
-
Sandstede, B.1
-
39
-
-
0001385142
-
Nonadiabatic effects in convection
-
D. Bensimon, B. I. Shraiman, and V. Croquette, " Nonadiabatic effects in convection., " Phys. Rev. A 38, 5461-5464 (1988).
-
(1988)
Phys. Rev. A
, vol.38
, pp. 5461-5464
-
-
Bensimon, D.1
Shraiman, B.I.2
Croquette, V.3
-
40
-
-
0030769574
-
On asymmetric gravity-capillary solitary waves
-
T.-S. Yang and T. R. Akylas, " On asymmetric gravity-capillary solitary waves., " J. Fluid Mech. 330, 215-232 (1997).
-
(1997)
J. Fluid Mech.
, vol.330
, pp. 215-232
-
-
Yang, T.-S.1
Akylas, T.R.2
-
41
-
-
0009940282
-
Derivation of the time-dependent Ginzburg-Landau equation on the line
-
I. Melbourne, " Derivation of the time-dependent Ginzburg-Landau equation on the line., " J. Nonlinear Sci. 8, 1-15 (1998).
-
(1998)
J. Nonlinear Sci.
, vol.8
, pp. 1-15
-
-
Melbourne, I.1
-
42
-
-
11744373488
-
Front motion, metastability and subcritical bifurcations in hydrodynamics
-
Y. Pomeau, " Front motion, metastability and subcritical bifurcations in hydrodynamics., " Physica D 23, 3-11 (1986).
-
(1986)
Physica D
, vol.23
, pp. 3-11
-
-
Pomeau, Y.1
-
43
-
-
33751251449
-
Asymptotics of cellular buckling close to the Maxwell load
-
C. J. Budd, G. W. Hunt, and R. Kuske, " Asymptotics of cellular buckling close to the Maxwell load., " Proc. R. Soc. London, Ser. A 457, 2935-2964 (2001).
-
(2001)
Proc. R. Soc. London, Ser. A
, vol.457
, pp. 2935-2964
-
-
Budd, C.J.1
Hunt, G.W.2
Kuske, R.3
-
44
-
-
22544478848
-
Localized periodic patterns for the non-symmetric generalized Swift-Hohenberg equation
-
C. J. Budd and R. Kuske, " Localized periodic patterns for the non-symmetric generalized Swift-Hohenberg equation., " Physica D 208, 73-95 (2005).
-
(2005)
Physica D
, vol.208
, pp. 73-95
-
-
Budd, C.J.1
Kuske, R.2
-
45
-
-
0034225727
-
Crystallization kinetics and self-induced pinning in cellular patterns
-
I. S. Aranson, B. A. Malomed, L. M. Pismen, and L. S. Tsimring, " Crystallization kinetics and self-induced pinning in cellular patterns., " Phys. Rev. E 62, R5-R8 (2000).
-
(2000)
Phys. Rev. e
, vol.62
-
-
Aranson, I.S.1
Malomed, B.A.2
Pismen, L.M.3
Tsimring, L.S.4
-
46
-
-
19944412544
-
Homoclinic snaking near a heteroclinic cycle in reversible systems
-
J. Knobloch and T. Wagenknecht, " Homoclinic snaking near a heteroclinic cycle in reversible systems., " Physica D 206, 82-93 (2005).
-
(2005)
Physica D
, vol.206
, pp. 82-93
-
-
Knobloch, J.1
Wagenknecht, T.2
-
47
-
-
0002391044
-
Merging of resonance tongues
-
V. Kirk, " Merging of resonance tongues., " Physica D 66, 267-281 (1993).
-
(1993)
Physica D
, vol.66
, pp. 267-281
-
-
Kirk, V.1
-
48
-
-
33744799485
-
Linear and nonlinear front instabilities in bistable systems
-
A. Hagberg, A. Yochelis, H. Yizhaq, C. Elphick, L. Pismen, and E. Meron, " Linear and nonlinear front instabilities in bistable systems., " Physica D 217, 186-192 (2006).
-
(2006)
Physica D
, vol.217
, pp. 186-192
-
-
Hagberg, A.1
Yochelis, A.2
Yizhaq, H.3
Elphick, C.4
Pismen, L.5
Meron, E.6
-
49
-
-
33847610410
-
The stability of a stripe for the Gierer-Meinhardt model and the effect of saturation
-
T. Kolokolnikov, W. Sun, M. Ward, and J. Wei, " The stability of a stripe for the Gierer-Meinhardt model and the effect of saturation., " SIAM J. Appl. Dyn. Syst. 5, 313-363 (2006).
-
(2006)
SIAM J. Appl. Dyn. Syst.
, vol.5
, pp. 313-363
-
-
Kolokolnikov, T.1
Sun, W.2
Ward, M.3
Wei, J.4
-
50
-
-
0008474556
-
Effects of exponentially small terms in the perturbation approach to localized buckling
-
M. K. Wadee and A. P. Bassom, " Effects of exponentially small terms in the perturbation approach to localized buckling., " Proc. R. Soc. London, Ser. A 455, 2351-2370 (1999).
-
(1999)
Proc. R. Soc. London, Ser. A
, vol.455
, pp. 2351-2370
-
-
Wadee, M.K.1
Bassom, A.P.2
-
51
-
-
0036499280
-
Solitary wave interaction phenomena in a strut buckling model incorporating restabilisation
-
M. K. Wadee, C. D. Coman, and A. P. Bassom, " Solitary wave interaction phenomena in a strut buckling model incorporating restabilisation., " Physica D 163, 26-48 (2002).
-
(2002)
Physica D
, vol.163
, pp. 26-48
-
-
Wadee, M.K.1
Coman, C.D.2
Bassom, A.P.3
-
52
-
-
18144416219
-
Additive noise induces front propagation
-
M. G. Clerc, C. Falcon, and E. Tirapegui, " Additive noise induces front propagation., " Phys. Rev. Lett. 94, 148302 (2005).
-
(2005)
Phys. Rev. Lett.
, vol.94
, pp. 148302
-
-
Clerc, M.G.1
Falcon, C.2
Tirapegui, E.3
|