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Description
  • We investigate a model of the spruce budworm population with dispersion. We study the existence of traveling waves by means of a transformation to the moving coordinate. The resulting system of ODEs is a three-dimensional slow--fast system. We show that the system exhibits two qualitatively different modes depending on the magnitude of the wave velocity. For small wave velocities the dynamics is quite complex and there are several types of traveling pulses. For large wave velocities we discovered a special class of traveling waves, the so called canard traveling pulses.
  • We investigate a model of the spruce budworm population with dispersion. We study the existence of traveling waves by means of a transformation to the moving coordinate. The resulting system of ODEs is a three-dimensional slow--fast system. We show that the system exhibits two qualitatively different modes depending on the magnitude of the wave velocity. For small wave velocities the dynamics is quite complex and there are several types of traveling pulses. For large wave velocities we discovered a special class of traveling waves, the so called canard traveling pulses. (en)
Title
  • Canard travelling waves of the spruce budworm population model
  • Canard travelling waves of the spruce budworm population model (en)
skos:prefLabel
  • Canard travelling waves of the spruce budworm population model
  • Canard travelling waves of the spruce budworm population model (en)
skos:notation
  • RIV/60461373:22340/10:00023568!RIV11-MSM-22340___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • S, Z(MSM6046137306)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
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http://linked.open...dnocenehoVysledku
  • 249566
http://linked.open...ai/riv/idVysledku
  • RIV/60461373:22340/10:00023568
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • spruce budworm population model; traveling waves; slow-fast systems; numerical bifurcation analysis; canard traveling pulses (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [F5B20803825C]
http://linked.open...v/mistoKonaniAkce
  • Nové Hrady
http://linked.open...i/riv/mistoVydani
  • Praha
http://linked.open...i/riv/nazevZdroje
  • Seminar on Numerical Analysis & Winter School/Proceedings of the conference SNA'10
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Buřič, Lubor
  • Klíč, Alois
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
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  • Ústav informatiky AV ČR
https://schema.org/isbn
  • 978-80-87136-07-2
http://localhost/t...ganizacniJednotka
  • 22340
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