-
2
-
-
0000272844
-
Transition to chaos by interaction of resonances in dissipative systems. I. Circle maps
-
M.H. Jensen, P. Bak, T. Bohr, Transition to chaos by interaction of resonances in dissipative systems. I. Circle maps, Phys. Rev. A 30 (1984) 1960-1969.
-
(1984)
Phys. Rev. A
, vol.30
, pp. 1960-1969
-
-
Jensen, M.H.1
Bak, P.2
Bohr, T.3
-
3
-
-
0003102997
-
Periodic forcing of a limit-cycle oscillator: Fixed points, Arnold tongues, and the global organization of bifurcations
-
L. Glass, J. Sun, Periodic forcing of a limit-cycle oscillator: Fixed points, Arnold tongues, and the global organization of bifurcations, Phys. Rev. E 50 (6) (1994) 5077-5084.
-
(1994)
Phys. Rev. E
, vol.50
, Issue.6
, pp. 5077-5084
-
-
Glass, L.1
Sun, J.2
-
5
-
-
0024036863
-
Quasi-periodicity and dynamical systems: An experimentalist's view
-
J.A. Glazier, A. Libchaber, Quasi-periodicity and dynamical systems: an experimentalist's view, IEEE Trans. Circuits Syst. 35 (1988) 790-809.
-
(1988)
IEEE Trans. Circuits Syst.
, vol.35
, pp. 790-809
-
-
Glazier, J.A.1
Libchaber, A.2
-
6
-
-
4243755792
-
Forced oscillations of a self-oscillating surface reaction
-
M. Eiswirth, G. Ertl, Forced oscillations of a self-oscillating surface reaction, Phys. Rev. Lett. 60 (15) (1988) 1526-1529.
-
(1988)
Phys. Rev. Lett.
, vol.60
, Issue.15
, pp. 1526-1529
-
-
Eiswirth, M.1
Ertl, G.2
-
7
-
-
11944259553
-
Breaking chirality in nonequilibrium systems
-
P. Coullet, J. Lega, B. Houchmanzadeh, J. Lajzerowicz, Breaking chirality in nonequilibrium systems, Phys. Rev. Lett. 65 (1990) 1352-1355.
-
(1990)
Phys. Rev. Lett.
, vol.65
, pp. 1352-1355
-
-
Coullet, P.1
Lega, J.2
Houchmanzadeh, B.3
Lajzerowicz, J.4
-
8
-
-
31744440646
-
Strong resonances of spatially distrubuted oscillatiors: A laboratory to study patterns and defects
-
P. Coullet, K. Emilsson, Strong resonances of spatially distrubuted oscillatiors: a laboratory to study patterns and defects, Physica D 61 (1992) 119-131.
-
(1992)
Physica D
, vol.61
, pp. 119-131
-
-
Coullet, P.1
Emilsson, K.2
-
9
-
-
0030767974
-
Resonant pattern formation in a chemical system
-
V. Petrov, Q. Ouyang, H.L. Swinney, Resonant pattern formation in a chemical system, Nature 388 (1997) 655-657.
-
(1997)
Nature
, vol.388
, pp. 655-657
-
-
Petrov, V.1
Ouyang, Q.2
Swinney, H.L.3
-
10
-
-
0034269987
-
Four-phase patterns in forced oscillatory systems
-
A.L. Lin, A. Hagberg, A. Ardelea, M. Bertram, H.L. Swinney, E. Meron, Four-phase patterns in forced oscillatory systems, Phys. Rev. E 62 (2000) 3790-3798.
-
(2000)
Phys. Rev. E
, vol.62
, pp. 3790-3798
-
-
Lin, A.L.1
Hagberg, A.2
Ardelea, A.3
Bertram, M.4
Swinney, H.L.5
Meron, E.6
-
11
-
-
0039967074
-
Forcing oscillatory media: Phase kinks vs. synchronization
-
H. Chate, A. Pikovsky, O. Rudzick, Forcing oscillatory media: phase kinks vs. synchronization, Physica D 131 (1999) 17-30.
-
(1999)
Physica D
, vol.131
, pp. 17-30
-
-
Chate, H.1
Pikovsky, A.2
Rudzick, O.3
-
12
-
-
0000733852
-
Resonant phase patterns in a reaction-diffusion system
-
A.L. Lin, M. Bertram, K. Martinez, H.L. Swinney, A. Ardelea, G.F. Carey, Resonant phase patterns in a reaction-diffusion system, Phys. Rev. Lett. 84 (2000) 4240-4243.
-
(2000)
Phys. Rev. Lett.
, vol.84
, pp. 4240-4243
-
-
Lin, A.L.1
Bertram, M.2
Martinez, K.3
Swinney, H.L.4
Ardelea, A.5
Carey, G.F.6
-
13
-
-
0034721176
-
Oscillatory cluster patterns in a homogeneous chemical system with global feedback
-
V.K. Vanag, L.F. Yang, M. Dolnik, A.M. Zhabotinsky, I.R. Epstein, Oscillatory cluster patterns in a homogeneous chemical system with global feedback, Nature 406 (6794) (2000) 389-391.
-
(2000)
Nature
, vol.406
, Issue.6794
, pp. 389-391
-
-
Vanag, V.K.1
Yang, L.F.2
Dolnik, M.3
Zhabotinsky, A.M.4
Epstein, I.R.5
-
14
-
-
0037984245
-
Pattern formation in the Belousov-Zhabotinsky reaction with photochemical global feedback
-
V.K. Vanag, A.M. Zhabotinsky, I.R. Epstein, Pattern formation in the Belousov-Zhabotinsky reaction with photochemical global feedback, J. Phys. Chem. A 104 (49) (2000) 11566-11577.
-
(2000)
J. Phys. Chem. A
, vol.104
, Issue.49
, pp. 11566-11577
-
-
Vanag, V.K.1
Zhabotinsky, A.M.2
Epstein, I.R.3
-
15
-
-
0035127351
-
Oscillatory clusters in the periodically illuminated, spatially extended Belousov-Zhabotinsky reaction
-
V.K. Vanag, A.M. Zhabotinsky, I.R. Epstein, Oscillatory clusters in the periodically illuminated, spatially extended Belousov-Zhabotinsky reaction, Phys. Rev. Lett. 86 (3) (2001) 552-555.
-
(2001)
Phys. Rev. Lett.
, vol.86
, Issue.3
, pp. 552-555
-
-
Vanag, V.K.1
Zhabotinsky, A.M.2
Epstein, I.R.3
-
16
-
-
0035251456
-
Frequency locking in spatially extended systems
-
H.-K. Park, Frequency locking in spatially extended systems, Phys. Rev. Lett. 86 (2001) 1130-1133.
-
(2001)
Phys. Rev. Lett.
, vol.86
, pp. 1130-1133
-
-
Park, H.-K.1
-
17
-
-
37649031595
-
Stable droplets and growth laws close to the modulational instability of a domain wall
-
D. Gomila, P. Colet, G.L. Oppo, M.S. Miguel, Stable droplets and growth laws close to the modulational instability of a domain wall, Phys. Rev. Lett. 87 (19) (2001) 194101.
-
(2001)
Phys. Rev. Lett.
, vol.87
, Issue.19
, pp. 194101
-
-
Gomila, D.1
Colet, P.2
Oppo, G.L.3
Miguel, M.S.4
-
18
-
-
0035509431
-
Transition from oscillatory to excitable regime in a system forced at three times its natural frequency
-
R. Gallego, D. Walgraef, M. San Miguel, R. Toral, Transition from oscillatory to excitable regime in a system forced at three times its natural frequency, Phys. Rev. E 64 (5) (2001) 056218.
-
(2001)
Phys. Rev. E
, vol.64
, Issue.5
, pp. 056218
-
-
Gallego, R.1
Walgraef, D.2
Miguel, M.S.3
Toral, R.4
-
19
-
-
41349083278
-
Harmonic forcing of an extended oscillatory system: Homogeneous and periodic solutions
-
J. Kim, J. Lee, B. Kahng, Harmonic forcing of an extended oscillatory system: Homogeneous and periodic solutions, Phys. Rev. E 65 (4) (2002) 046208.
-
(2002)
Phys. Rev. E
, vol.65
, Issue.4
, pp. 046208
-
-
Kim, J.1
Lee, J.2
Kahng, B.3
-
20
-
-
0013278304
-
Development of standing-wave labyrinthine patterns
-
A. Yochelis, A. Hagberg, E. Meron, A.L. Lin, H.L. Swinney, Development of standing-wave labyrinthine patterns, SIADS 1 (2) (2002) 236-247 http://epubs.siam.org/sam-bin/dbq/article/39711.
-
(2002)
SIADS
, vol.1
, Issue.2
, pp. 236-247
-
-
Yochelis, A.1
Hagberg, A.2
Meron, E.3
Lin, A.L.4
Swinney, H.L.5
-
21
-
-
3042603552
-
Resonance in periodically inhibited reaction - Diffusion systems
-
K. Martinez, A.L. Lin, R. Kharrazian, X. Sailer, H.L. Swinney, Resonance in periodically inhibited reaction - diffusion systems, Physica D 2 (2002) 168-169.
-
(2002)
Physica D
, vol.2
, pp. 168-169
-
-
Martinez, K.1
Lin, A.L.2
Kharrazian, R.3
Sailer, X.4
Swinney, H.L.5
-
22
-
-
9644308438
-
Phase fronts and synchronization patterns in forced oscillatory systems
-
E. Meron, Phase fronts and synchronization patterns in forced oscillatory systems, Discrete Dyn. Nat. Soc. 4 (3) (2000) 217-230.
-
(2000)
Discrete Dyn. Nat. Soc.
, vol.4
, Issue.3
, pp. 217-230
-
-
Meron, E.1
-
23
-
-
0000523039
-
Perturbation of a Hopf bifurcation by an external time-periodic forcing
-
J.M. Gambaudo, Perturbation of a Hopf bifurcation by an external time-periodic forcing, J. Diff. Eq. 57 (1985) 172-199.
-
(1985)
J. Diff. Eq.
, vol.57
, pp. 172-199
-
-
Gambaudo, J.M.1
-
24
-
-
0001669344
-
Normal form reduction for time-periodically driven differential equations
-
C. Elphick, G. Iooss, E. Tirapegui, Normal form reduction for time-periodically driven differential equations, Phys. Lett. A 120 (1987) 459-463.
-
(1987)
Phys. Lett. A
, vol.120
, pp. 459-463
-
-
Elphick, C.1
Iooss, G.2
Tirapegui, E.3
-
25
-
-
0001535271
-
A phase front instability in periodically forced oscillatory systems
-
C. Elphick, A. Hagberg, E. Meron, A phase front instability in periodically forced oscillatory systems, Phys. Rev. Lett. 80 (22) (1998) 5007-5010.
-
(1998)
Phys. Rev. Lett.
, vol.80
, Issue.22
, pp. 5007-5010
-
-
Elphick, C.1
Hagberg, A.2
Meron, E.3
-
26
-
-
4244206947
-
Multiphase patterns in periodically forced oscillatory systems
-
C. Elphick, A. Hagberg, E. Meron, Multiphase patterns in periodically forced oscillatory systems, Phys. Rev. E 59 (5) (1999) 5285-5291.
-
(1999)
Phys. Rev. E
, vol.59
, Issue.5
, pp. 5285-5291
-
-
Elphick, C.1
Hagberg, A.2
Meron, E.3
-
28
-
-
0000085224
-
Pattern formation in non-gradient reaction-diffusion systems: The effects of front bifurcations
-
A. Hagberg, E. Meron, Pattern formation in non-gradient reaction-diffusion systems: the effects of front bifurcations, Nonlinearity 7 (1994) 805-835.
-
(1994)
Nonlinearity
, vol.7
, pp. 805-835
-
-
Hagberg, A.1
Meron, E.2
-
29
-
-
12044249583
-
From labyrinthine patterns to spiral turbulence
-
A. Hagberg, E. Meron, From labyrinthine patterns to spiral turbulence, Phys. Rev. Lett. 72 (15) (1994) 2494-2497.
-
(1994)
Phys. Rev. Lett.
, vol.72
, Issue.15
, pp. 2494-2497
-
-
Hagberg, A.1
Meron, E.2
-
30
-
-
0000393977
-
Solitary-wave solution for a complex one-dimensional field
-
S. Sarker, S.E. Trullinger, A.R. Bishop, Solitary-wave solution for a complex one-dimensional field, Phys. Lett. A 59 (4) (1976) 255-258.
-
(1976)
Phys. Lett. A
, vol.59
, Issue.4
, pp. 255-258
-
-
Sarker, S.1
Trullinger, S.E.2
Bishop, A.R.3
-
31
-
-
0002550258
-
On the origin of traveling pulses in bistable systems
-
C. Elphick, A. Hagberg, E. Meron, B. Malomed, On the origin of traveling pulses in bistable systems, Phys. Lett. A 230 (1997) 33-37.
-
(1997)
Phys. Lett. A
, vol.230
, pp. 33-37
-
-
Elphick, C.1
Hagberg, A.2
Meron, E.3
Malomed, B.4
-
32
-
-
0035509403
-
Perturbation theory for domain walls in the parametric Ginzburg-Landau equation
-
D.V. Skryabin, A. Yulin, D. Michaelis, W.J. Firth, G.L. Oppo, U. Peschel, F. Lederer, Perturbation theory for domain walls in the parametric Ginzburg-Landau equation, Phys. Rev. E 64 (5) (2001) 056618.
-
(2001)
Phys. Rev. E
, vol.64
, Issue.5
, pp. 056618
-
-
Skryabin, D.V.1
Yulin, A.2
Michaelis, D.3
Firth, W.J.4
Oppo, G.L.5
Peschel, U.6
Lederer, F.7
-
33
-
-
9644256275
-
Dynamical approach to the Ising-Bloch transition in 3 + 1 dimensional time periodically driven dynamical systems
-
submitted for publication
-
C. Elphick, Dynamical approach to the Ising-Bloch transition in 3 + 1 dimensional time periodically driven dynamical systems, Physica D, submitted for publication.
-
Physica D
-
-
Elphick, C.1
-
34
-
-
0014662728
-
Finite bandwidth, finite amplitude convection
-
A.C. Newell, J.A. Whitehead, Finite bandwidth, finite amplitude convection, J. Fluid Mech. 38 (1969) 279-303.
-
(1969)
J. Fluid Mech.
, vol.38
, pp. 279-303
-
-
Newell, A.C.1
Whitehead, J.A.2
-
35
-
-
0014560133
-
Distant side-walls cause slow amplitude modulation of cellular convection
-
L.A. Segel, Distant side-walls cause slow amplitude modulation of cellular convection, J. Fluid Mech. 38 (1969) 203-224.
-
(1969)
J. Fluid Mech.
, vol.38
, pp. 203-224
-
-
Segel, L.A.1
-
36
-
-
12044252828
-
Pattern formation outside of equilibrium
-
M.C. Cross, P.C. Hohenberg, Pattern formation outside of equilibrium, Rev. Mod. Phys. 65 (3) (1993) 851-1112.
-
(1993)
Rev. Mod. Phys.
, vol.65
, Issue.3
, pp. 851-1112
-
-
Cross, M.C.1
Hohenberg, P.C.2
-
37
-
-
0016992978
-
Secondary bifurcation in nonlinear diffusion-reaction equations
-
J.P. Keener, Secondary bifurcation in nonlinear diffusion-reaction equations, Stud. Appl. Math. 55 (3) (1976) 187-211.
-
(1976)
Stud. Appl. Math.
, vol.55
, Issue.3
, pp. 187-211
-
-
Keener, J.P.1
-
38
-
-
0001590144
-
On mode interactions in reaction diffusion equation with nearly degenerate bifurcations
-
H. Kidachi, On mode interactions in reaction diffusion equation with nearly degenerate bifurcations, Prog. Theor. Phys. 63 (4) (1980) 1152-1169.
-
(1980)
Prog. Theor. Phys.
, vol.63
, Issue.4
, pp. 1152-1169
-
-
Kidachi, H.1
-
39
-
-
0000040998
-
Introduction to bifurcation theory
-
J.D. Crawford, Introduction to bifurcation theory, Rev. Mod. Phys. 63 (4) (1991) 991-1037.
-
(1991)
Rev. Mod. Phys.
, vol.63
, Issue.4
, pp. 991-1037
-
-
Crawford, J.D.1
-
41
-
-
0347145720
-
Propagation of Turing-Hopf fronts
-
M. Or-Guil, M. Bode, Propagation of Turing-Hopf fronts, Physica A 249 (1998) 174-178.
-
(1998)
Physica A
, vol.249
, pp. 174-178
-
-
Or-Guil, M.1
Bode, M.2
-
42
-
-
11144358433
-
Spiral destabilization by resonant forcing
-
H.-K. Park, M. Bär, Spiral destabilization by resonant forcing, Europhys. Lett. 65 (2004) 873-879.
-
(2004)
Europhys. Lett.
, vol.65
, pp. 873-879
-
-
Park, H.-K.1
Bär, M.2
|