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Meeting of Chemical Wave Fronts Creates Chaos

Author

Listed:
  • Sergey Vakulenko

    (Institute for Problems in Mechanical Engineering RAS., Bolshoy pr. V.O. 61, 199178 Saint Petersburg, Russia
    Saint Petersburg Electrotechnical University “LETI”, 197022 Saint Petersburg, Russia)

  • Alexander Galper

    (Independent Researcher, 199178 Saint Petersburg, Russia)

Abstract

We consider systems of reaction–diffusion equations. We describe a new effect in the wave interaction for these systems: the collision of several travelling fronts may induce chaos or periodic oscillations. This effect depends on the initial locations of the travelling fronts: For some initial positions chaos occurs and for others it does not. In a space-homogeneous system, we need at least three fronts to create time-periodic behaviour, while to create chaos, we should have four fronts. We also provide a short review of previously known results, and different known mechanisms of chaos generation for reaction–diffusion systems. Our results can be used for pattern coding, in particular, for morphogenesis.

Suggested Citation

  • Sergey Vakulenko & Alexander Galper, 2024. "Meeting of Chemical Wave Fronts Creates Chaos," Mathematics, MDPI, vol. 12(3), pages 1-16, January.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:3:p:429-:d:1329013
    as

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