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Description
  • A two-dimensional threshold surface of an excitable system is found as a set of threshold trajectories calculated step by step in cross-sections of the phase space. The method leads to a highly nonlinear boundary value problem that can be solved numerically with the use of adaptive multiple shooting and continuation methods. We demonstrate this technique by examining a model of a biochemical oscillator with two positive feedbacks. Generalization to arbitrary dimension is discussed.
  • A two-dimensional threshold surface of an excitable system is found as a set of threshold trajectories calculated step by step in cross-sections of the phase space. The method leads to a highly nonlinear boundary value problem that can be solved numerically with the use of adaptive multiple shooting and continuation methods. We demonstrate this technique by examining a model of a biochemical oscillator with two positive feedbacks. Generalization to arbitrary dimension is discussed. (en)
Title
  • THRESHOLDS AND EXCITABILITY IN THREE-DIMENSIONAL DYNAMICAL SYSTEMS
  • THRESHOLDS AND EXCITABILITY IN THREE-DIMENSIONAL DYNAMICAL SYSTEMS (en)
skos:prefLabel
  • THRESHOLDS AND EXCITABILITY IN THREE-DIMENSIONAL DYNAMICAL SYSTEMS
  • THRESHOLDS AND EXCITABILITY IN THREE-DIMENSIONAL DYNAMICAL SYSTEMS (en)
skos:notation
  • RIV/60461373:22340/05:00014621!RIV11-GA0-22340___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA203/03/0488), P(GP203/02/D051), Z(MSM6046137306)
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
  • 546783
http://linked.open...ai/riv/idVysledku
  • RIV/60461373:22340/05:00014621
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • chemical excitability; superthreshold perturbation; nonlinear dynamics (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [6D1074DA1CDA]
http://linked.open...i/riv/nazevZdroje
  • Physical Review E
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 72
http://linked.open...iv/tvurceVysledku
  • Schreiber, Igor
  • Voslař, Michal
http://linked.open...ain/vavai/riv/wos
  • 000230887100053
http://linked.open...n/vavai/riv/zamer
issn
  • 1539-3755
number of pages
http://localhost/t...ganizacniJednotka
  • 22340
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