A model of an autocatalytic chemical reaction was employed to study the explosion of limit cycles and chaotic waves in a nonlinear chemical system. The bifurcation point was determined using asymptotic analysis and perturbations. Scaling laws for amplitude and period were derived. A strong sensitivity was introduced due to bifurcation to infinity resulting in chaotic dynamics on adding diffusion.
|Journal||Physical Review E. Statistical, Nonlinear, and Soft Matter Physics|
|Publication status||Published - 2001|
Bibliographical noteCopyright (2001) American Physical Society
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