TY - JOUR
T1 - Dynamics of an interface connecting a stripe pattern and a uniform state
T2 - Amended newell-whitehead-segel equation
AU - ROJAS CORTES, RENE GABRIEL
AU - ElÍas, Ricardo G.
AU - Clerc, Marcel G.
PY - 2009/1/1
Y1 - 2009/1/1
N2 - The dynamics of an interface connecting a stationary stripe pattern with a homogeneous state is studied. The conventional approach which describes this interface, NewellWhiteheadSegel amplitude equation, does not account for the rich dynamics exhibited by these interfaces. By amending this amplitude equation with a nonresonate term, we can describe this interface and its dynamics in a unified manner. This model exhibits a rich and complex transversal dynamics at the interface, including front propagations, transversal patterns, locking phenomenon, and transversal localized structures.
AB - The dynamics of an interface connecting a stationary stripe pattern with a homogeneous state is studied. The conventional approach which describes this interface, NewellWhiteheadSegel amplitude equation, does not account for the rich dynamics exhibited by these interfaces. By amending this amplitude equation with a nonresonate term, we can describe this interface and its dynamics in a unified manner. This model exhibits a rich and complex transversal dynamics at the interface, including front propagations, transversal patterns, locking phenomenon, and transversal localized structures.
KW - Amplitude equations
KW - Interface dynamics
KW - Localized structures
UR - http://www.scopus.com/inward/record.url?scp=70449450340&partnerID=8YFLogxK
U2 - 10.1142/S0218127409024499
DO - 10.1142/S0218127409024499
M3 - Article
AN - SCOPUS:70449450340
VL - 19
SP - 2801
EP - 2812
JO - International Journal of Bifurcation and Chaos
JF - International Journal of Bifurcation and Chaos
SN - 0218-1274
IS - 8
ER -