Spatio-temporal numerical solutions of the coupled real and complex Ginzburg-Landau amplitude equations for one-dimensional systems near the Turing-Hopf bifurcation

Author:

Ledesma-Durán AldoORCID,Aragón José Luis

Funder

CONACYT

Publisher

Elsevier BV

Subject

Applied Mathematics,Modelling and Simulation,Numerical Analysis

Reference24 articles.

1. Instabilities in spatially extended predator–prey systems: spatio-temporal patterns in the neighborhood of Turing–Hopf bifurcations;Baurmann;J Theor Biol,2007

2. Spatially localized structures in dissipative systems: open problems;Knobloch;Nonlinearity,2008

3. Spatial dynamics of ecological public goods;Wakano;Proc Natl Acad Sci,2009

4. Role of delays in shaping spatiotemporal dynamics of neuronal activity in large networks;Roxin;Phys Rev Lett,2005

5. Interacting Turing-Hopf instabilities drive symmetry-breaking transitions in a mean-field model of the cortex: a mechanism for the slow oscillation;Steyn-Ross;Phys Rev X,2013

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