Tuza, Zoltán and Szederkényi, Gábor and Hangos, Katalin and Alonso, A and Banga, J (2013) Computing all sparse kinetic structures for a Lorenz system using optimization. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 23 (8). 1350141-1-1350141-17. ISSN 0218-1274 MTMT:2406525; doi:10.1142/S0218127413501411

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Abstract

In this paper, all possible sparse chemical reaction network structures of a classical 3-dimensional Lorenz system are computed assuming a given chemical complex set. The original non-kinetic equations are transformed into kinetic form using two different approaches: firstly, using a state-dependent time-rescaling and secondly, by applying the theory of X-factorable systems. Using the notions of core reactions and core complexes, an effective optimization-based computation approach is proposed for the calculation of all structurally different sparse reaction graphs. The resulting structures are briefly analyzed and compared from a structural point of view.

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