ABSTRACT The paper deals with the theoretical analysis of a logistic system composed of at least ... more ABSTRACT The paper deals with the theoretical analysis of a logistic system composed of at least two elements with distributed parameters. It has been shown that such a system may generate specific oscillations in spite of the fact that the solutions of the mathematical method are characterized by no dynamic bifurcations. It has also been shown that the time series of the state variables of such a system may behave in a semi-chaotic way. This means that they have then predictable and unpredictable fragments. The analysis has been illustrated by two examples, viz. of a simple logistic model and of a tubular chemical reactor with thermal feedback.
Forced unsteady operating conditions are beneficial in several heterogeneous catalyzed processes ... more Forced unsteady operating conditions are beneficial in several heterogeneous catalyzed processes [1]. Particularly, in the last 30 years, the real advantages of forced unsteady-state operation over conventional steady-state regimes of catalytic fixed-bed combustors have been widely supported also experimentally (eg [2, 3]). The most extensively studied are reactors forced to operate in a dynamical regime by periodically changing the feed position [4, 5].
ABSTRACT The paper deals with the theoretical analysis of a logistic system composed of at least ... more ABSTRACT The paper deals with the theoretical analysis of a logistic system composed of at least two elements with distributed parameters. It has been shown that such a system may generate specific oscillations in spite of the fact that the solutions of the mathematical method are characterized by no dynamic bifurcations. It has also been shown that the time series of the state variables of such a system may behave in a semi-chaotic way. This means that they have then predictable and unpredictable fragments. The analysis has been illustrated by two examples, viz. of a simple logistic model and of a tubular chemical reactor with thermal feedback.
Forced unsteady operating conditions are beneficial in several heterogeneous catalyzed processes ... more Forced unsteady operating conditions are beneficial in several heterogeneous catalyzed processes [1]. Particularly, in the last 30 years, the real advantages of forced unsteady-state operation over conventional steady-state regimes of catalytic fixed-bed combustors have been widely supported also experimentally (eg [2, 3]). The most extensively studied are reactors forced to operate in a dynamical regime by periodically changing the feed position [4, 5].
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Papers by Artur Grabski