Spatially “chaotic” solutions in reaction-convection models and their bifurcations to moving waves

TY - JOUR

T1 - Spatially “chaotic” solutions in reaction-convection models and their bifurcations to moving waves

AU - Nekhamkina, Olga

AU - Sheintuch, Moshe

PY - 2002/7/12

Y1 - 2002/7/12

N2 - The emergence of stationary spatially multiperiodic or even spatially chaotic patterns is analyzed for a simple model of convection, reaction, and conduction in a cross-flow reactor. Spatial patterns emerge much like dynamic temporal patterns in a mixed system of the same kinetics. Moving waves are formed in an unbounded system but they are transformed into stationary spatially inhomogeneous patterns in a bounded system. The sequence of period doubling bifurcations is determined numerically. The incorporation of a slow nondiffusing inhibitor leads to chaotic spatiotemporal patterns.

AB - The emergence of stationary spatially multiperiodic or even spatially chaotic patterns is analyzed for a simple model of convection, reaction, and conduction in a cross-flow reactor. Spatial patterns emerge much like dynamic temporal patterns in a mixed system of the same kinetics. Moving waves are formed in an unbounded system but they are transformed into stationary spatially inhomogeneous patterns in a bounded system. The sequence of period doubling bifurcations is determined numerically. The incorporation of a slow nondiffusing inhibitor leads to chaotic spatiotemporal patterns.

UR - http://www.scopus.com/inward/record.url?scp=41349091210&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.66.016204

DO - 10.1103/PhysRevE.66.016204

M3 - 文章

AN - SCOPUS:41349091210

SN - 1063-651X

VL - 66

JO - Physical Review E

JF - Physical Review E

IS - 1

ER -