Zeitschrift für Naturforschung / A / 33 (1978)
نویسندگان
چکیده
A class o f soluble three "spec ies" reaction-diffusion type systems is presented Exact solutions are obtained which show turbulent spatio-temporal evolution All homogeneous evolution tends asymptot ical ly toward an attractor which is shown to be a two layered t w o dimensional manifold in the three dimensional species space. Sustained aperiodic spatio-temporal solutions are also f ound . B y considering particular model systems we show that turbulent solutions m a y exit as finite amplitude instabilities or as bifurcations which are aperiodic arbitrarily close to the bifurcation point and hence do not arise as a transition starting out essentially periodically. A perturbation scheme is used to show that d parameter families o f spatio-temporal evolution are admitted b y more general systems with attracting d dimensional manifolds in the homogeneous chemical kinetics.
منابع مشابه
Zeitschrift für Naturforschung / A / 33 (1978)
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تاریخ انتشار 2013