Entropy production: evolution criteria, robustness and fractal dimension
It was proved through Rossler model, where the funnel case is more robust tan spiral chaos, the entropy production per unit time is a Lyapunov's function on the space of the control system parameters. It was established the conjecture of entropy production fractal dimension. The current theoretical framework will hopefully provide a better understanding of the relationship between thermodynamics and nonlinear dynamics and contribute to unify theses through complex systems theory.
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Sociedad Mexicana de Física
2016
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| Online Access: | http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2016000200012 |
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oai:scielo:S0035-001X20160002000122016-07-26Entropy production: evolution criteria, robustness and fractal dimensionBetancourt-Mar,J.A.Rodríguez-Ricard,M.Mansilla,R.Cocho,G.Nieto-Villar,J.M. Irreversible thermodynamics complex systems fractal dimension It was proved through Rossler model, where the funnel case is more robust tan spiral chaos, the entropy production per unit time is a Lyapunov's function on the space of the control system parameters. It was established the conjecture of entropy production fractal dimension. The current theoretical framework will hopefully provide a better understanding of the relationship between thermodynamics and nonlinear dynamics and contribute to unify theses through complex systems theory.info:eu-repo/semantics/openAccessSociedad Mexicana de FísicaRevista mexicana de física v.62 n.2 20162016-04-01info:eu-repo/semantics/articletext/htmlhttp://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2016000200012en |
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México |
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MX |
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English |
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| author |
Betancourt-Mar,J.A. Rodríguez-Ricard,M. Mansilla,R. Cocho,G. Nieto-Villar,J.M. |
| spellingShingle |
Betancourt-Mar,J.A. Rodríguez-Ricard,M. Mansilla,R. Cocho,G. Nieto-Villar,J.M. Entropy production: evolution criteria, robustness and fractal dimension |
| author_facet |
Betancourt-Mar,J.A. Rodríguez-Ricard,M. Mansilla,R. Cocho,G. Nieto-Villar,J.M. |
| author_sort |
Betancourt-Mar,J.A. |
| title |
Entropy production: evolution criteria, robustness and fractal dimension |
| title_short |
Entropy production: evolution criteria, robustness and fractal dimension |
| title_full |
Entropy production: evolution criteria, robustness and fractal dimension |
| title_fullStr |
Entropy production: evolution criteria, robustness and fractal dimension |
| title_full_unstemmed |
Entropy production: evolution criteria, robustness and fractal dimension |
| title_sort |
entropy production: evolution criteria, robustness and fractal dimension |
| description |
It was proved through Rossler model, where the funnel case is more robust tan spiral chaos, the entropy production per unit time is a Lyapunov's function on the space of the control system parameters. It was established the conjecture of entropy production fractal dimension. The current theoretical framework will hopefully provide a better understanding of the relationship between thermodynamics and nonlinear dynamics and contribute to unify theses through complex systems theory. |
| publisher |
Sociedad Mexicana de Física |
| publishDate |
2016 |
| url |
http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2016000200012 |
| work_keys_str_mv |
AT betancourtmarja entropyproductionevolutioncriteriarobustnessandfractaldimension AT rodriguezricardm entropyproductionevolutioncriteriarobustnessandfractaldimension AT mansillar entropyproductionevolutioncriteriarobustnessandfractaldimension AT cochog entropyproductionevolutioncriteriarobustnessandfractaldimension AT nietovillarjm entropyproductionevolutioncriteriarobustnessandfractaldimension |
| _version_ |
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