Computing all sparse kinetic structures for a Lorenz system using optimization

Zoltán András Tuza, G. Szederkényi, K. Hangos, Antonio A. Alonso, Julio R. Banga

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

In this paper, all possible sparse chemical reaction network structures of a classical three-dimensional Lorenz system are computed assuming a given chemical complex set. The original nonkinetic 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.

Original languageEnglish
Article number1350141
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume23
Issue number8
DOIs
Publication statusPublished - Aug 2013

Fingerprint

Lorenz System
Kinetics
Chemical Reaction Networks
Optimization
Computing
Rescaling
Network Structure
Chemical reactions
Three-dimensional
Graph in graph theory
Form

Keywords

  • kinetic systems
  • Lorenz system
  • optimization
  • structural nonuniqueness

ASJC Scopus subject areas

  • Applied Mathematics
  • General
  • Engineering(all)
  • Modelling and Simulation

Cite this

Computing all sparse kinetic structures for a Lorenz system using optimization. / Tuza, Zoltán András; Szederkényi, G.; Hangos, K.; Alonso, Antonio A.; Banga, Julio R.

In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 23, No. 8, 1350141, 08.2013.

Research output: Contribution to journalArticle

@article{9835609d2f4447399589e26c269e3ebe,
title = "Computing all sparse kinetic structures for a Lorenz system using optimization",
abstract = "In this paper, all possible sparse chemical reaction network structures of a classical three-dimensional Lorenz system are computed assuming a given chemical complex set. The original nonkinetic 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.",
keywords = "kinetic systems, Lorenz system, optimization, structural nonuniqueness",
author = "Tuza, {Zolt{\'a}n Andr{\'a}s} and G. Szederk{\'e}nyi and K. Hangos and Alonso, {Antonio A.} and Banga, {Julio R.}",
year = "2013",
month = "8",
doi = "10.1142/S0218127413501411",
language = "English",
volume = "23",
journal = "International Journal of Bifurcation and Chaos in Applied Sciences and Engineering",
issn = "0218-1274",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "8",

}

TY - JOUR

T1 - Computing all sparse kinetic structures for a Lorenz system using optimization

AU - Tuza, Zoltán András

AU - Szederkényi, G.

AU - Hangos, K.

AU - Alonso, Antonio A.

AU - Banga, Julio R.

PY - 2013/8

Y1 - 2013/8

N2 - In this paper, all possible sparse chemical reaction network structures of a classical three-dimensional Lorenz system are computed assuming a given chemical complex set. The original nonkinetic 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.

AB - In this paper, all possible sparse chemical reaction network structures of a classical three-dimensional Lorenz system are computed assuming a given chemical complex set. The original nonkinetic 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.

KW - kinetic systems

KW - Lorenz system

KW - optimization

KW - structural nonuniqueness

UR - http://www.scopus.com/inward/record.url?scp=84884552238&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84884552238&partnerID=8YFLogxK

U2 - 10.1142/S0218127413501411

DO - 10.1142/S0218127413501411

M3 - Article

AN - SCOPUS:84884552238

VL - 23

JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

SN - 0218-1274

IS - 8

M1 - 1350141

ER -