A Peculiar Liapunov Functional for Ternary Reaction-Diffusion Dynamical Systems

Rionero, Salvatore

Bollettino dell'Unione Matematica Italiana, Tome 4 (2011), p. 393-407 / Harvested from Biblioteca Digitale Italiana di Matematica

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Résumé

A Liapunov functional $W$ , depending - together with the temporal derivative $\dot{W}$ along the solutions - on the eigenvalues via the system coefficients, is found. This functional is ``peculiar'' in the sense that $W$ is positive definite and simultaneously $\dot{W}$ is negative definite, if and only if all the eigenvalues have negative real part. An application to a general type of ternary system often encountered in the literature, is furnished.

Publié le : 2011-10-01

MR 2906768 | Zbl 1234.35133

@article{BUMI_2011_9_4_3_393_0,
     author = {Salvatore Rionero},
     title = {A Peculiar Liapunov Functional for Ternary Reaction-Diffusion Dynamical Systems},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {4},
     year = {2011},
     pages = {393-407},
     zbl = {1234.35133},
     mrnumber = {2906768},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2011_9_4_3_393_0}
}

Rionero, Salvatore. A Peculiar Liapunov Functional for Ternary Reaction-Diffusion Dynamical Systems. Bollettino dell'Unione Matematica Italiana, Tome 4 (2011) pp. 393-407. http://gdmltest.u-ga.fr/item/BUMI_2011_9_4_3_393_0/

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