Turing patterns and solitary structures under global control
نویسندگان
چکیده
منابع مشابه
0 A ug 1 99 6 Turing patterns and solitary structures under global control
Striped Turing patterns and solitary band and disk structures are constructed using a three-variable multiscale model with cubic nonlinearity and global control. The existence and stability conditions of regular structures are analysed using the equation of motion of curved boundaries between alternative states of the short-range component. The combined picture of transitions between striped an...
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We study, both theoretically and experimentally, the dynamical response of Turing patterns to a spatiotemporal forcing in the form of a traveling-wave modulation of a control parameter. We show that from strictly spatial resonance, it is possible to induce new, generic dynamical behaviors, including temporally modulated traveling waves and localized traveling solitonlike solutions. The latter m...
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We examine the time-evolutional behavior of self-organized Turing patterns under spatiotemporal forcing in one-dimensional systems. Based on the model equations, we apply a space-time-dependent external force. The entrainment and modulation of time-evolutional patterns are investigated numerically in one dimension. We develop a theoretical analysis to understand the obtained dynamics, and conje...
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Self-organised patterns of vegetation are a characteristic feature of many semi-arid regions. In particular, banded vegetation is typical on hillsides. Mathematical modelling is widely used to study these banded patterns, because there are no laboratory replicates. I will describe the development of spatial patterns in an established model for banded vegetation via a Turing bifurcation. I will ...
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ژورنال
عنوان ژورنال: The Journal of Chemical Physics
سال: 1994
ISSN: 0021-9606,1089-7690
DOI: 10.1063/1.467561