The Oseberg Transition: Visualization of Global bifurcations for the Kuramoto-Sivashinsky equation
暂无分享,去创建一个
Ioannis G. Kevrekidis | Mark E. Johnson | Michael S. Jolly | I. Kevrekidis | M. Jolly | Mark E. Johnson
[1] Mark Edward Johnson. Computer-assisted studies and visualization of nonlinear phenomena : two-dimensional invariant manifolds, global bifurcations, and robustness of global attractors , 1998 .
[2] Roger Temam,et al. Evaluating the dimension of an inertial manifold for the Kuramoto-Sivashinsky equation , 1999 .
[3] John N. Elgin,et al. Travelling-waves of the Kuramoto-Sivashinsky, equation: period-multiplying bifurcations , 1992 .
[4] J. Palis,et al. Geometric theory of dynamical systems , 1982 .
[5] Hsueh-Chia Chang,et al. Traveling waves on fluid interfaces: Normal form analysis of the Kuramoto–Sivashinsky equation , 1986 .
[6] Roger Temam,et al. Estimates on the lowest dimension of inertial manifolds for the Kuramoto-Sivashinsky equation in the general case , 1994, Differential and Integral Equations.
[7] Bernd Krauskopf,et al. Two-dimensional global manifolds of vector fields. , 1999, Chaos.
[8] E. Lorenz. Deterministic nonperiodic flow , 1963 .
[9] E. J. Doedel,et al. AUTO: a program for the automatic bifurcation analysis of autonomous systems , 1980 .
[10] Silvina Ponce Dawson,et al. Collections of heteroclinic cycles in the Kuramoto-Sivashinsky equation , 1997 .
[11] Harry Dankowicz,et al. Local models of spatio-temporally complex fields , 1996 .
[12] James C. Robinson. Inertial manifolds for the Kuramoto-Sivashinsky equation , 1994 .
[13] Clint Scovel,et al. Scaling laws and the prediction of bifurcations in systems modeling pattern formation , 1988 .
[14] Colin Sparrow,et al. Local and global behavior near homoclinic orbits , 1984 .
[15] R. Rosa,et al. Approximate inertial manifolds of exponential order , 1995 .
[16] G. Sell,et al. On the computation of inertial manifolds , 1988 .
[17] Kurt Wiesenfeld,et al. Suppression of period doubling in symmetric systems , 1984 .
[18] Y. Kuramoto,et al. Persistent Propagation of Concentration Waves in Dissipative Media Far from Thermal Equilibrium , 1976 .
[19] G. Sivashinsky. On Flame Propagation Under Conditions of Stoichiometry , 1980 .
[20] R. Temam,et al. Accurate Computations on Inertial Manifolds , 2000, SIAM J. Sci. Comput..
[21] John Guckenheimer,et al. Kuramoto-Sivashinsky dynamics on the center-unstable manifold , 1989 .
[22] Philip Holmes,et al. Scale and space localization in the Kuramoto-Sivashinsky equation. , 1999, Chaos.
[23] I. Kevrekidis,et al. Back in the saddle again: a computer assisted study of the Kuramoto-Sivashinsky equation , 1990 .
[24] I. Kevrekidis,et al. Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: analysis and computations , 1990 .
[25] Roger Temam,et al. Inertial Manifolds for the Kuramoto-Sivashinsky Equation and an Estimate of their Lowest Dimension , 1986 .
[26] Xiaosong Liu. Gevrey class regularity and approximate inertial manifolds for the Kuramoto-Sivashinsky equation , 1991 .