Stability of spatially homogeneous periodic solutions of reaction-diffusion equations |
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| Authors: | Kenjiro Maginu |
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| Affiliation: | Department of Mathematical Engineering and Instrumentation Physics, Faculty of Engineering, University of Tokyo, Tokyo, Japan |
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| Abstract: | When a certain condition is satisfied, a reaction-diffusion equation has a spatially homogeneous periodic solution, i.e. a temporally periodic solution that does not depend on spatial variables. We analyse the orbital stability of this periodic solution. A sufficient condition is given for the homogeneity breaking instability, which is stated in terms of the manner of dependency of its temporal period on a certain parameter of the system. |
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