Chaos and unpredictability in evolutionary dynamics in discrete time.
Phys Rev Lett
; 107(3): 038101, 2011 Jul 15.
Article
em En
| MEDLINE
| ID: mdl-21838406
ABSTRACT
A discrete-time version of the replicator equation for two-strategy games is studied. The stationary properties differ from those of continuous time for sufficiently large values of the parameters, where periodic and chaotic behavior replace the usual fixed-point population solutions. We observe the familiar period-doubling and chaotic-band-splitting attractor cascades of unimodal maps but in some cases more elaborate variations appear due to bimodality. Also unphysical stationary solutions can have unusual physical implications, such as the uncertainty of the final population caused by sensitivity to initial conditions and fractality of attractor preimage manifolds.
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Base de dados:
MEDLINE
Assunto principal:
Dinâmica não Linear
/
Evolução Biológica
Tipo de estudo:
Prognostic_studies
Idioma:
En
Ano de publicação:
2011
Tipo de documento:
Article