Naslov
Entropy of scalar reaction-diffusion equations

Autori
Slijepčević, Siniša

Izvornik
Mathematica Bohemica (0862-7959) 139 (2014), 4; 597-605

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
reaction-diffusion equation; attractor; invariant measure; entropy; Poincaré-Bendixson theorem

Sažetak
We consider scalar reaction-diffusion equations on bounded and extended domains, both with the autonomous and time-periodic nonlinear term. We discuss the meaning and implications of the ergodic Poincaré-Bendixson theorem to dynamics. In particular, we show that in the extended autonomous case, the space-time topological entropy is zero. Furthermore, we characterize in the extended nonautonomous case the space- time topological and metric entropies as entropies of a pair of commuting planar homeomorphisms.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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