About: Symmetry breaking, bifurcations, quasiperiodicity, and chaos due to electric fields in a coupled cell model     Goto   Sponge   NotDistinct   Permalink

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  • A model for the asymmetric coupling of two oscillatory cells is considered. The coupling between the cells is both through diffusional exchange (symmetric) and through the electromigration of ionic reactant species from one cell to the other (asymmetric)in applied electric fields. The kinetics in each cell are the same and based on the Gray-Scott scheme. The effect of the asymmetry (applying electric fields) is to create a wide variety of stable dynamics, multistability, multiperiodic oscillations, qua siperiodicity and chaos being observed, this complexity in response being more prevalent at weaker coupling rates and at weaker field strengths. The results are obtained using a standard dynamical systems continuation program, though asymptotic results are obtained for strong coupling rates and strong electric fields. These are seen to agree well with the numerically determined values in the appropriate parameter regimes.
  • A model for the asymmetric coupling of two oscillatory cells is considered. The coupling between the cells is both through diffusional exchange (symmetric) and through the electromigration of ionic reactant species from one cell to the other (asymmetric)in applied electric fields. The kinetics in each cell are the same and based on the Gray-Scott scheme. The effect of the asymmetry (applying electric fields) is to create a wide variety of stable dynamics, multistability, multiperiodic oscillations, qua siperiodicity and chaos being observed, this complexity in response being more prevalent at weaker coupling rates and at weaker field strengths. The results are obtained using a standard dynamical systems continuation program, though asymptotic results are obtained for strong coupling rates and strong electric fields. These are seen to agree well with the numerically determined values in the appropriate parameter regimes. (en)
Title
  • Symmetry breaking, bifurcations, quasiperiodicity, and chaos due to electric fields in a coupled cell model
  • Symmetry breaking, bifurcations, quasiperiodicity, and chaos due to electric fields in a coupled cell model (en)
skos:prefLabel
  • Symmetry breaking, bifurcations, quasiperiodicity, and chaos due to electric fields in a coupled cell model
  • Symmetry breaking, bifurcations, quasiperiodicity, and chaos due to electric fields in a coupled cell model (en)
skos:notation
  • RIV/60461373:22340/02:00007172!RIV/2004/GA0/223404/N
http://linked.open.../vavai/riv/strany
  • 72-86
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA104/01/1319)
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 666032
http://linked.open...ai/riv/idVysledku
  • RIV/60461373:22340/02:00007172
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • chaos; bifurcation; quasi-periodicity; electric field; reaction cell (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [CB35755D69BD]
http://linked.open...i/riv/nazevZdroje
  • CHAOS
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...ocetUcastnikuAkce
http://linked.open...nichUcastnikuAkce
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 12
http://linked.open...iv/tvurceVysledku
  • Hasal, Pavel
  • Merkin, J. H.
issn
  • 1054-1500
number of pages
http://localhost/t...ganizacniJednotka
  • 22340
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