Results 11 to 20 of about 22,195 (121)

Nonequilibrium Dynamics in the Complex Ginzburg-Landau Equation [PDF]

, 2001
We present results from a comprehensive analytical and numerical study of nonequilibrium dynamics in the 2-dimensional complex Ginzburg-Landau (CGL) equation.
A. Weber, A.J. Bray, A.J. Bray, A.J. Bray, A.N. Pargellis, B. Yurke, F. Rojas, G.F. Mazenko, G.F. Mazenko, G.F. Mazenko, H. Chate, H. Chate, H. Toyoki, I.S. Aranson, K. Binder, M. C. Cross, M.C. Cross, P.S. Hagan, S. K. Das, S. Puri, Sanjay Puri, Subir K. Das, T. Ohta, W. van Saarloos, Y. Kuramoto   +24 more
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Multistable Pulse-like Solutions in a Parametrically Driven Ginzburg-Landau Equation [PDF]

, 2003
It is well known that pulse-like solutions of the cubic complex Ginzburg-Landau equation are unstable but can be stabilised by the addition of quintic terms.
A. Mecozzi, B. Denardo, B.A. Malomed, B.A. Malomed, B.A. Malomed, Boris A. Malomed, C. Elphick, C. Elphick, C. Utzny, D. Cai, G. Huang, G.-L. Oppo, G.J. de Valcárcel, H. Sakaguchi, I. V. Barashenkov, I.S. Aranson, I.V. Barashenkov, I.V. Barashenkov, I.V. Barashenkov, J. Yu, J.W. Miles, K. Staliunas, L.S. Tsimring, M. Bondila, M.C. Cross, N.V. Alexeeva, N.V. Alexeeva, O. Thual, P. Coullet, P. Coullet, P. Coullet, P. Coullet, R. Driben, S. Cross, S. Fauve, S. Longhi, S. Longhi, S. Longhi, S. Longhi, S. Longhi, S. Longhi, S. Longhi, S.-Y. Lou, S.V. Kiyashko, T. Frisch, T. Frisch, V. Hakim, V.S. Shchesnovich, W. Chen, W. Zhang, X. Wang   +50 more
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Modulation equations near the Eckhaus boundary: the KdV equation [PDF]

, 2018
We are interested in the description of small modulations in time and space of wave-train solutions to the complex Ginzburg-Landau equation \begin{align*} \partial_T \Psi = (1+ i \alpha) \partial_X^2 \Psi + \Psi - (1+i \beta ) \Psi |\Psi|^2, \end{align*}
de Rijk, Björn, Haas, Tobias, Schneider, Guido   +2 more
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Hole Structures in Nonlocally Coupled Noisy Phase Oscillators

, 2007
We demonstrate that a system of nonlocally coupled noisy phase oscillators can collectively exhibit a hole structure, which manifests itself in the spatial phase distribution of the oscillators.
A. Pikovsky, A. T. Winfree, C. W. Gardiner, H. Mori, H. Risken, N. Bekki, S. C. Manrubia, Y. Kuramoto, Y. Kuramoto, Y. Kuramoto, Yoji Kawamura   +10 more
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Bistability in the Complex Ginzburg-Landau Equation with Drift [PDF]

, 2009
Properties of the complex Ginzburg-Landau equation with drift are studied focusing on the Benjamin-Feir stable regime. On a finite interval with Neumann boundary conditions the equation exhibits bistability between a spatially uniform time-periodic state
Aranson, Brusch, Cash, Chaté, Cowley, Cross, Deissler, E. Knobloch, Eckhardt, Golubitsky, Guckenheimer, Kerswell, M.R.E. Proctor, Proctor, Rosenblat, S.M. Houghton, S.M. Tobias, Schilder, Schilder, Stewartson, Tobias, Tobias, Tobias, van Hecke   +23 more
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Attractive Interaction Between Pulses in a Model for Binary-Mixture Convection

, 1995
Recent experiments on convection in binary mixtures have shown that the interaction between localized waves (pulses) can be repulsive as well as {\it attractive} and depends strongly on the relative {\it orientation} of the pulses.
B. Malomed, B. Malomed, D. Bensimon, E. Moses, H. Brand, H. Herrero, H. Riecke, H. Riecke, Hermann Riecke, J. Niemela, L. Pismen, O. Thual, P. Kolodner, P. Kolodner, P. Kolodner, P. Kolodner, P. Kolodner, T. Ueda, V. Hakim, W. Barten, W. Barten, W. Schöpf   +21 more
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Fractional generalization of the Ginzburg-Landau equation: An unconventional approach to critical phenomena in complex media

, 2004
Equations built on fractional derivatives prove to be a powerful tool in the description of complex systems when the effects of singularity, fractal supports, and long-range dependence play a role.
Milovanov, Alexander V., Rasmussen, Jens J.   +1 more
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Extensive Properties of the Complex Ginzburg-Landau Equation

, 1998
We study the set of solutions of the complex Ginzburg-Landau equation in $\real^d, d\OO(\log(1/\epsilon))$Comment: 24 ...
Collet, Pierre, Eckmann, Jean-Pierre
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Phase Slips and the Eckhaus Instability

, 1995
We consider the Ginzburg-Landau equation, $ \partial_t u= \partial_x^2 u + u - u|u|^2 $, with complex amplitude $u(x,t)$. We first analyze the phenomenon of phase slips as a consequence of the {\it local} shape of $u$.
Angenent S, Borwein B, Bridges T J, C E Wayne, Collet P, Collet P, Doelman A, Eckmann J-P, Gallay Th, Hale J K, J -P Eckmann, Kirrmann P, Schneider G, Schneider G, T Gallay, Temam R, Tribelsky M I, Tribelsky M I, van Harten A   +18 more
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Global Solvability of the Cauchy Problem for the Landau-Lifshitz-Gilbert Equation in Higher Dimensions

, 2011
We prove existence, uniqueness and asymptotics of global smooth solutions for the Landau-Lifshitz-Gilbert equation in dimension $n \ge 3$, valid under a smallness condition of initial gradients in the $L^n$ norm.
Melcher, Christof
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