http://www.cnr.it/ontology/cnr/individuo/prodotto/ID8354
On the universality of spiral waves (Articolo in rivista)
- Type
- Label
- On the universality of spiral waves (Articolo in rivista) (literal)
- Anno
- 2010-01-01T00:00:00+01:00 (literal)
- Alternative label
Bini D., C. Cherubini, S. Filippi, A. Gizzi and P. E. Ricci (2010)
On the universality of spiral waves
(literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
- Bini D., C. Cherubini, S. Filippi, A. Gizzi and P. E. Ricci (literal)
- Pagina inizio
- Pagina fine
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
- Note
- ISI Web of Science (WOS) (literal)
- Titolo
- On the universality of spiral waves (literal)
- Abstract
- Spiral waves appear in many different contexts: excitable biological
tissues, fungi and amoebae colonies, chemical reactions, growing crystals, fluids
and gas eddies as well as in galaxies. While the existing theories explain the
presence of spirals in terms of nonlinear parabolic equations, in this paper it
is shown that self-sustained spiral wave regime is already present in the linear
heat operator, in terms of integer Bessel functions of complex argument. Such
solutions, even if commonly not discussed in the literature because diverging at
spatial infinity, play a central role in the understanding of the universality of
spiral process. As an example we have studied how in nonlinear reaction-diffusion
models the linear part of the equations determines the wave front appearance
while nonlinearities are mandatory to cancel out the blowup of solutions. The
spiral wave pattern still requires however at least two cross diffusing species to be
physically realized. (literal)
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