Turing instability for a two-dimensional Logistic coupled map lattice

[1]  A. Turing.  The chemical basis of morphogenesis , 1952, Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences.

[2]  J. L. Jackson,et al.  Dissipative structure: an explanation and an ecological example. , 1972, Journal of theoretical biology.

[3]  A. Ōkubo,et al.  Di?usion and ecological problems: mathematical models , 1980 .

[4]  Kunihiko Kaneko,et al.  Spatiotemporal chaos in one-and two-dimensional coupled map lattices , 1989 .

[5]  Kunihiko Kaneko,et al.  Theory and Applications of Coupled Map Lattices , 1993 .

[6]  Carroll,et al.  Short wavelength bifurcations and size instabilities in coupled oscillator systems. , 1995, Physical review letters.

[7]  Kaihua Zhao,et al.  Lattice Boltzmann simulation of van der Waals phase transition with Maxwellian area rule , 1996 .

[8]  Guowei He.  Travelling waves in one-dimensional coupled map lattices (I) , 1996 .

[9]  Guowei He,et al.  Wavelike patterns in one-dimensional coupled map lattices , 1997 .

[10]  Cecilia Vernia,et al.  On quasiperiodic travelling waves in coupled map lattices , 2002 .

[11]  G. Rangarajan,et al.  Stability of synchronized dynamics and pattern formation in coupled systems: Review of some recent results , 2006 .

[12]  Q. Li,et al.  Traveling and standing patterns induced by delay feedback in uniform oscillatory reaction–diffusion system , 2007 .

[13]  Zahra Rahmani Cherati,et al.  Control of spatiotemporal chaos in coupled map lattice by discrete-time variable structure control , 2007 .

[14]  Jürgen Kurths,et al.  Correlated noise induced spatiotemporal coherence resonance in a square lattice network , 2008 .

[15]  Arne Jakobsen.  Symmetry breaking bifurcations in a circular chain of N coupled logistic maps , 2008 .

[16]  Jesús San Martín,et al.  Analytical solutions of weakly coupled map lattices using recurrence relations , 2009 .

[17]  Liang Bai,et al.  Nontrivial solutions for a nonlinear discrete elliptic equation with periodic boundary conditions , 2009, Appl. Math. Comput..

[18]  Paulsamy Muruganandam,et al.  Low dimensional behavior in three-dimensional coupled map lattices , 2006, nlin/0609028.