Busse balloons - from the reversible Gray-Scott model ... - Eurandom
Busse balloons - from the reversible Gray-Scott model ... - Eurandom Busse balloons - from the reversible Gray-Scott model ... - Eurandom
The ‘Hopf dance’ k Introduction Rise of Patterns The Busse balloon Conclusions and ongoing research Fold −1 +1 Busse balloon A (a) (b) Figure: (a) The Hopf-dance enlarged, schematically. (b) Oscillations in or out of phase (i.e. for γ = 0 or γ = 1). Sjors van der Stelt Busse balloons
Introduction Rise of Patterns The Busse balloon Conclusions and ongoing research Spectrum of solution at Hopf instability O Im Re Figure: Spectrum for a solution that undergoes a Hopf instability. Left the case for reversible systems (like Gray-Scott), right the case for nonreversible systems. Sjors van der Stelt Busse balloons O Im Re
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Introduction<br />
Rise of Patterns<br />
The <strong>Busse</strong> balloon<br />
Conclusions and ongoing research<br />
Spectrum of solution at Hopf instability<br />
O<br />
Im<br />
Re<br />
Figure: Spectrum for a solution that undergoes a Hopf instability. Left<br />
<strong>the</strong> case for <strong>reversible</strong> systems (like <strong>Gray</strong>-<strong>Scott</strong>), right <strong>the</strong> case for<br />
non<strong>reversible</strong> systems.<br />
Sjors van der Stelt <strong>Busse</strong> <strong>balloons</strong><br />
O<br />
Im<br />
Re
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