-
1
-
-
12044252828
-
Pattern formation outside of equilibrium
-
M.C. Cross, and P.C. Hohenberg Pattern formation outside of equilibrium Rev. Modern Phys. 65 1993 851 1112
-
(1993)
Rev. Modern Phys.
, vol.65
, pp. 851-1112
-
-
Cross, M.C.1
Hohenberg, P.C.2
-
2
-
-
31744441806
-
Control of waves, patterns and turbulence in chemical systems
-
A.S. Mikhailov, and K. Showalter Control of waves, patterns and turbulence in chemical systems Phys. Rep. 425 2006 79 194
-
(2006)
Phys. Rep.
, vol.425
, pp. 79-194
-
-
Mikhailov, A.S.1
Showalter, K.2
-
3
-
-
0030767974
-
Resonant pattern formation in a chemical system
-
V. Petrov, Q. Ouyang, and 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
-
4
-
-
0034721176
-
Oscillatory cluster patterns in a homogeneous chemical system with global feedback
-
V.K. Vanag, L. Yang, M. Dolnik, A.M. Zhabotinsky, and I.R. Epstein Oscillatory cluster patterns in a homogeneous chemical system with global feedback Nature 406 2000 389 391
-
(2000)
Nature
, vol.406
, pp. 389-391
-
-
Vanag, V.K.1
Yang, L.2
Dolnik, M.3
Zhabotinsky, A.M.4
Epstein, I.R.5
-
8
-
-
34250315551
-
Continuous control of chaos by self-controlling feedback
-
K. Pyragas Continuous control of chaos by self-controlling feedback Phys. Lett. A 170 1992 421 428
-
(1992)
Phys. Lett. A
, vol.170
, pp. 421-428
-
-
Pyragas, K.1
-
9
-
-
0001533892
-
Stabilizing unstable periodic orbits in fast dynamical systems
-
J.E.S. Socolar, D.W. Sukow, and D.J. Gauthier Stabilizing unstable periodic orbits in fast dynamical systems Phys. Rev. E 50 1994 3245 3248
-
(1994)
Phys. Rev. e
, vol.50
, pp. 3245-3248
-
-
Socolar, J.E.S.1
Sukow, D.W.2
Gauthier, D.J.3
-
11
-
-
0030129259
-
Control of patterns in spatiotemporal chaos in optics
-
W. Lu, D. Yu, and R.G. Harrison Control of patterns in spatiotemporal chaos in optics Phys. Rev. Lett. 76 1996 3316 3319
-
(1996)
Phys. Rev. Lett.
, vol.76
, pp. 3316-3319
-
-
Lu, W.1
Yu, D.2
Harrison, R.G.3
-
12
-
-
0001091883
-
Controlling extended systems with spatially filtered, time-delayed feedback
-
M.E. Bleich, D. Hochheiser, J.V. Moloney, and J.E.S. Socolar Controlling extended systems with spatially filtered, time-delayed feedback Phys. Rev. E 55 1997 2119 2126
-
(1997)
Phys. Rev. e
, vol.55
, pp. 2119-2126
-
-
Bleich, M.E.1
Hochheiser, D.2
Moloney, J.V.3
Socolar, J.E.S.4
-
13
-
-
74349117230
-
Control of spatiotemporal patterns in the GrayScott model
-
Y.N. Kyrychko, K.B. Blyuss, S.J. Hogan, and E. Schll Control of spatiotemporal patterns in the GrayScott model Chaos 19 2009 043126
-
(2009)
Chaos
, vol.19
, pp. 043126
-
-
Kyrychko, Y.N.1
Blyuss, K.B.2
Hogan, S.J.3
Schll, E.4
-
15
-
-
0035907088
-
Controlling chemical turbulence by global delayed feedback: Pattern formation in catalytic CO oxidation on Pt(110)
-
DOI 10.1126/science.1059478
-
M. Kim, M. Bertram, M. Pollmann, A.v. Oertzen, A.S. Mikhailov, H.H. Rotermund, and G. Ertl Controlling chemical turbulence by global delayed feedback: Pattern formation in catalytic CO oxidation on Pt(110) Science 292 2001 1357 1360 (Pubitemid 32476218)
-
(2001)
Science
, vol.292
, Issue.5520
, pp. 1357-1360
-
-
Kim, M.1
Bertram, M.2
Pollmann, M.3
Von Oertzen, A.4
Mikhailov, A.S.5
Rotermund, H.H.6
Ertl, G.7
-
16
-
-
84988756563
-
Controlling turbulence in a surface chemical reaction by time-delay autosynchronization
-
C. Beta, M. Bertram, A.S. Mikhailov, H.H. Rotermund, and G. Ertl Controlling turbulence in a surface chemical reaction by time-delay autosynchronization Phys. Rev. E 67 2003 046224
-
(2003)
Phys. Rev. e
, vol.67
, pp. 046224
-
-
Beta, C.1
Bertram, M.2
Mikhailov, A.S.3
Rotermund, H.H.4
Ertl, G.5
-
17
-
-
0141563450
-
Complex patterns in a periodically forced surface reaction
-
M. Bertram, C. Beta, H.H. Rotermund, and G. Ertl Complex patterns in a periodically forced surface reaction J. Phys. Chem. B 107 2003 9610 9615
-
(2003)
J. Phys. Chem. B
, vol.107
, pp. 9610-9615
-
-
Bertram, M.1
Beta, C.2
Rotermund, H.H.3
Ertl, G.4
-
18
-
-
33947389661
-
High frequency periodic forcing of the oscillatory catalytic CO oxidation on Pt (110)
-
P.S. Bodega, P. Kaira, C. Beta, D. Krefting, D. Bauer, B. Mirwald-Schulz, C. Punckt, and H.H. Rotermund High frequency periodic forcing of the oscillatory catalytic CO oxidation on Pt (110) New J. Phys. 9 2007 61
-
(2007)
New J. Phys.
, vol.9
, pp. 61
-
-
Bodega, P.S.1
Kaira, P.2
Beta, C.3
Krefting, D.4
Bauer, D.5
Mirwald-Schulz, B.6
Punckt, C.7
Rotermund, H.H.8
-
19
-
-
37549030211
-
Control of spatiotemporal chaos in catalytic CO oxidation by laser-induced pacemakers
-
M. Stich, C. Punckt, C. Beta, and H.H. Rotermund Control of spatiotemporal chaos in catalytic CO oxidation by laser-induced pacemakers Phil. Trans. R. Soc. A 366 2008 419 426
-
(2008)
Phil. Trans. R. Soc. A
, vol.366
, pp. 419-426
-
-
Stich, M.1
Punckt, C.2
Beta, C.3
Rotermund, H.H.4
-
20
-
-
0000537904
-
Amplitude equations for description of chemical reactiondiffusion systems
-
M. Ipsen, L. Kramer, and P.G. Sørensen Amplitude equations for description of chemical reactiondiffusion systems Phys. Rep. 337 2000 193 235
-
(2000)
Phys. Rep.
, vol.337
, pp. 193-235
-
-
Ipsen, M.1
Kramer, L.2
Sørensen, P.G.3
-
21
-
-
22244490391
-
Controlling turbulence in the complex GinzburgLandau equation
-
D. Battogtokh, and A. Mikhailov Controlling turbulence in the complex GinzburgLandau equation Physica D 90 1996 84 95
-
(1996)
Physica D
, vol.90
, pp. 84-95
-
-
Battogtokh, D.1
Mikhailov, A.2
-
22
-
-
0031209292
-
Controlling turbulence in the complex GinzburgLandau equation II. Two-dimensional systems
-
D. Battogtokh, A. Preusser, and A. Mikhailov Controlling turbulence in the complex GinzburgLandau equation II. Two-dimensional systems Physica D 106 1997 327 362
-
(1997)
Physica D
, vol.106
, pp. 327-362
-
-
Battogtokh, D.1
Preusser, A.2
Mikhailov, A.3
-
23
-
-
9644270259
-
Controlling spatiotemporal chaos in oscillatory reactiondiffusion systems by time-delay autosynchronization
-
C. Beta, and A.S. Mikhailov Controlling spatiotemporal chaos in oscillatory reactiondiffusion systems by time-delay autosynchronization Physica D 199 2004 173 184
-
(2004)
Physica D
, vol.199
, pp. 173-184
-
-
Beta, C.1
Mikhailov, A.S.2
-
24
-
-
0002142973
-
Controlling spatiotemporal dynamics with time-delay feedback
-
M.E. Bleich, and J.E.S. Socolar Controlling spatiotemporal dynamics with time-delay feedback Phys. Rev. E 54 1996 R17 R20
-
(1996)
Phys. Rev. e
, vol.54
-
-
Bleich, M.E.1
Socolar, J.E.S.2
-
25
-
-
18144442089
-
Limitation on stabilizing plane waves via time-delay feedback
-
I. Harrington, and J.E.S. Socolar Limitation on stabilizing plane waves via time-delay feedback Phys. Rev. E 64 2001 056206
-
(2001)
Phys. Rev. e
, vol.64
, pp. 056206
-
-
Harrington, I.1
Socolar, J.E.S.2
-
26
-
-
9544238093
-
Feedback control of travelling wave solutions of the complex GinzburgLandau equation
-
K.A. Montgomery, and M. Silber Feedback control of travelling wave solutions of the complex GinzburgLandau equation Nonlinearity 17 2004 2225 2248
-
(2004)
Nonlinearity
, vol.17
, pp. 2225-2248
-
-
Montgomery, K.A.1
Silber, M.2
-
27
-
-
35348973593
-
Spatial and temporal feedback control of traveling wave solutions of the two-dimensional complex GinzburgLandau equation
-
C.M. Postlethwaite, and M. Silber Spatial and temporal feedback control of traveling wave solutions of the two-dimensional complex GinzburgLandau equation Physica D 236 2007 65 74
-
(2007)
Physica D
, vol.236
, pp. 65-74
-
-
Postlethwaite, C.M.1
Silber, M.2
-
28
-
-
46449099873
-
Failure of feedback as a putative common mechanism of spreading depolarizations in migraine and stroke
-
M.A. Dahlem, F.M. Schneider, and E. Schll Failure of feedback as a putative common mechanism of spreading depolarizations in migraine and stroke Chaos 18 2008 026110
-
(2008)
Chaos
, vol.18
, pp. 026110
-
-
Dahlem, M.A.1
Schneider, F.M.2
Schll, E.3
-
29
-
-
63849175283
-
Controlling the onset of traveling pulses in excitable media by nonlocal spatial coupling and time-delayed feedback
-
F.M. Schneider, E. Schll, and M.A. Dahlem Controlling the onset of traveling pulses in excitable media by nonlocal spatial coupling and time-delayed feedback Chaos 19 2009 015110
-
(2009)
Chaos
, vol.19
, pp. 015110
-
-
Schneider, F.M.1
Schll, E.2
Dahlem, M.A.3
-
30
-
-
0036711265
-
Multiple mechanisms of spiral wave breakup in a model of cardiac electrical activity
-
F.H. Fenton, E.M. Cherry, H.M. Hastings, and S.J. Evans Multiple mechanisms of spiral wave breakup in a model of cardiac electrical activity Chaos 12 2002 852 892
-
(2002)
Chaos
, vol.12
, pp. 852-892
-
-
Fenton, F.H.1
Cherry, E.M.2
Hastings, H.M.3
Evans, S.J.4
-
31
-
-
0036711415
-
Introduction: Mapping and control of complex cardiac arrhythmias (Focus Issue)
-
D.J. Christini, and L. Glass Introduction: Mapping and control of complex cardiac arrhythmias (Focus Issue) Chaos 12 2002 732
-
(2002)
Chaos
, vol.12
, pp. 732
-
-
Christini, D.J.1
Glass, L.2
-
33
-
-
0000226929
-
Control of chaotic spatiotemporal spiking by timedelay autosynchronization
-
G. Franceschini, S. Bose, and E. Schll Control of chaotic spatiotemporal spiking by timedelay autosynchronization Phys. Rev. E 60 1999 5426 5434
-
(1999)
Phys. Rev. e
, vol.60
, pp. 5426-5434
-
-
Franceschini, G.1
Bose, S.2
Schll, E.3
-
34
-
-
37649031662
-
Comparison of time-delayed feedback schemes for spatiotemporal control of chaos in a reactiondiffusion system with global coupling
-
O. Beck, A. Amann, E. Schll, J.E.S. Socolar, and W. Just Comparison of time-delayed feedback schemes for spatiotemporal control of chaos in a reactiondiffusion system with global coupling Phys. Rev. E 66 2002 016213
-
(2002)
Phys. Rev. e
, vol.66
, pp. 016213
-
-
Beck, O.1
Amann, A.2
Schll, E.3
Socolar, J.E.S.4
Just, W.5
-
35
-
-
45849155071
-
Giant improvement of time-delayed feedback control by spatiotemporal filtering
-
N. Baba, A. Amann, and E. Schll Giant improvement of time-delayed feedback control by spatiotemporal filtering Phys. Rev. Lett. 89 2002 074101
-
(2002)
Phys. Rev. Lett.
, vol.89
, pp. 074101
-
-
Baba, N.1
Amann, A.2
Schll, E.3
-
36
-
-
42749098304
-
Time-delay autosynchronization of the spatiotemporal dynamics in resonant tunneling diodes
-
J. Unkelbach, A. Amann, W. Just, and E. Schll Time-delay autosynchronization of the spatiotemporal dynamics in resonant tunneling diodes Phys. Rev. E 68 2003 026204
-
(2003)
Phys. Rev. e
, vol.68
, pp. 026204
-
-
Unkelbach, J.1
Amann, A.2
Just, W.3
Schll, E.4
-
37
-
-
32644448808
-
On the complex GinzburgLandau equation with a delayed feedback
-
A.C. Casal, and J.I. Daz On the complex GinzburgLandau equation with a delayed feedback Math. Models Methods Appl. Sci. 16 2006 1 17
-
(2006)
Math. Models Methods Appl. Sci.
, vol.16
, pp. 1-17
-
-
Casal, A.C.1
Daz, J.I.2
-
38
-
-
34648837243
-
Control of turbulence in oscillatory reactiondiffusion systems through a combination of global and local feedback
-
M. Stich, A.C. Casal, and J.I. Daz Control of turbulence in oscillatory reactiondiffusion systems through a combination of global and local feedback Phys. Rev. E 76 2007 036209
-
(2007)
Phys. Rev. e
, vol.76
, pp. 036209
-
-
Stich, M.1
Casal, A.C.2
Daz, J.I.3
-
39
-
-
34147192429
-
Amplitude death in an array of limit-cycle oscillators
-
R.E. Mirollo, and S.H. Strogatz Amplitude death in an array of limit-cycle oscillators J. Stat. Phys. 60 1990 245 262
-
(1990)
J. Stat. Phys.
, vol.60
, pp. 245-262
-
-
Mirollo, R.E.1
Strogatz, S.H.2
-
40
-
-
77955413951
-
-
Wolfram Research, Inc. Champaign, Illinois
-
Wolfram Research, Inc Mathematica edition 5.2 2005 Wolfram Research, Inc. Champaign, Illinois
-
(2005)
Mathematica Edition 5.2
-
-
-
41
-
-
28844506074
-
Control of unstable steady states by time-delayed feedback methods
-
P. Hvel, and E. Schll Control of unstable steady states by time-delayed feedback methods Phys. Rev. E 72 2005 046203
-
(2005)
Phys. Rev. e
, vol.72
, pp. 046203
-
-
Hvel, P.1
Schll, E.2
-
42
-
-
67649414958
-
Stabilization of complex spatio-temporal dynamics near a subcritical Hopf bifurcation by time-delayed feedback
-
M. Kehrt, P. Hvel, V. Flunkert, M.A. Dahlem, P. Rodin, and E. Schll Stabilization of complex spatio-temporal dynamics near a subcritical Hopf bifurcation by time-delayed feedback Eur. Phys. J. B 68 2009 557 565
-
(2009)
Eur. Phys. J. B
, vol.68
, pp. 557-565
-
-
Kehrt, M.1
Hvel, P.2
Flunkert, V.3
Dahlem, M.A.4
Rodin, P.5
Schll, E.6
-
43
-
-
64549083726
-
Design principle of multi-cluster and desynchronized states in oscillatory media via nonlinear global feedback
-
Y. Kobayashi, and H. Kori Design principle of multi-cluster and desynchronized states in oscillatory media via nonlinear global feedback N. J. Phys. 11 2009 033018
-
(2009)
N. J. Phys.
, vol.11
, pp. 033018
-
-
Kobayashi, Y.1
Kori, H.2
-
44
-
-
37649027757
-
Pattern formation on the edge of chaos: Mathematical modeling of CO oxidation on a Pt(110) surface under global delayed feedback
-
M. Bertram, and A.S. Mikhailov Pattern formation on the edge of chaos: Mathematical modeling of CO oxidation on a Pt(110) surface under global delayed feedback Phys. Rev. E 67 2003 036207
-
(2003)
Phys. Rev. e
, vol.67
, pp. 036207
-
-
Bertram, M.1
Mikhailov, A.S.2
-
45
-
-
19944405457
-
Birhythmicity, synchronization, and turbulence in an oscillatory system with nonlocal inertial coupling
-
V. Casagrande, and A.S. Mikhailov Birhythmicity, synchronization, and turbulence in an oscillatory system with nonlocal inertial coupling Physica D 205 2005 154 169
-
(2005)
Physica D
, vol.205
, pp. 154-169
-
-
Casagrande, V.1
Mikhailov, A.S.2
-
46
-
-
0036776656
-
Self-organized pacemakers in birhythmic media
-
M. Stich, M. Ipsen, and A.S. Mikhailov Self-organized pacemakers in birhythmic media Physica D 171 2002 19 40
-
(2002)
Physica D
, vol.171
, pp. 19-40
-
-
Stich, M.1
Ipsen, M.2
Mikhailov, A.S.3
-
47
-
-
0347963951
-
Time delay effects on coupled limit cycle oscillators at Hopf bifurcation
-
D.V. Ramana Reddy, A. Sen, and G.L. Johnston Time delay effects on coupled limit cycle oscillators at Hopf bifurcation Physica D 129 1999 15 34
-
(1999)
Physica D
, vol.129
, pp. 15-34
-
-
Ramana Reddy, D.V.1
Sen, A.2
Johnston, G.L.3
-
48
-
-
45849154658
-
Phase-locked patterns and amplitude death in a ring of delay-coupled limit cycle oscillators
-
R. Dodla, A. Sen, and G.L. Johnson Phase-locked patterns and amplitude death in a ring of delay-coupled limit cycle oscillators Phys. Rev. E 69 2004 056217
-
(2004)
Phys. Rev. e
, vol.69
, pp. 056217
-
-
Dodla, R.1
Sen, A.2
Johnson, G.L.3
-
49
-
-
9744234606
-
Distributed delays facilitate amplitude death of coupled oscillators
-
F.M. Atay Distributed delays facilitate amplitude death of coupled oscillators Phys. Rev. Lett. 91 2003 094101
-
(2003)
Phys. Rev. Lett.
, vol.91
, pp. 094101
-
-
Atay, F.M.1
-
50
-
-
0037077109
-
Design and control of wave propagation patterns in excitable media
-
T. Sakurai, E. Mihaliuk, F. Chirila, and K. Showalter Design and control of wave propagation patterns in excitable media Science 296 2002 2009 2012
-
(2002)
Science
, vol.296
, pp. 2009-2012
-
-
Sakurai, T.1
Mihaliuk, E.2
Chirila, F.3
Showalter, K.4
|