Wavelength Doulbing Bifurcations In A Reaction Diffusion System
Deepak Kar, J K Bhattacharjee
TL;DR
This paper investigates how wavelength doubling bifurcations in a reaction-diffusion system can lead to spatial chaos, highlighting the role of symmetry breaking as a precursor to these bifurcations.
Contribution
It demonstrates the occurrence of wavelength doubling bifurcations and their connection to symmetry breaking in a two-species reaction-diffusion system.
Findings
Wavelength doubling bifurcations can generate spatial chaos.
Symmetry breaking acts as a precursor to bifurcations.
The system exhibits a transition from ordered to chaotic spatial patterns.
Abstract
In a two species reaction diffusion system,we show that it is possible to generate a set of wavelength doubling bifuractions leading to spatially chaotic state.The wavelength doubling bifurcations are preceded by a symmetry breaking transition which acts as a precursor.
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Taxonomy
TopicsNonlinear Dynamics and Pattern Formation