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
Conclusions Introduction Rise of Patterns The Busse balloon Conclusions and ongoing research ◮ for γ = 2 and C > 0 there are choices for B such that the Turing-Hopf bifurcation becomes subcritical (stable patterns and stable background state) ◮ for γ = 1 and C = 0 (Gray-Scott) the boundary of the full Busse balloon consists of a complex interplay of different instabilities (Hopf, sideband, fold...) Sjors van der Stelt Busse balloons
Conclusions Introduction Rise of Patterns The Busse balloon Conclusions and ongoing research ◮ for γ = 2 and C > 0 there are choices for B such that the Turing-Hopf bifurcation becomes subcritical (stable patterns and stable background state) ◮ for γ = 1 and C = 0 (Gray-Scott) the boundary of the full Busse balloon consists of a complex interplay of different instabilities (Hopf, sideband, fold...) ◮ for C > 0 (and γ = 1), the Hopf dance moves out of the stable Busse region Sjors van der Stelt Busse balloons
- Page 1 and 2: Introduction Rise of Patterns The B
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- Page 7 and 8: Birth of patterns Introduction Rise
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- Page 21: Conclusions Introduction Rise of Pa
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Conclusions<br />
Introduction<br />
Rise of Patterns<br />
The <strong>Busse</strong> balloon<br />
Conclusions and ongoing research<br />
◮ for γ = 2 and C > 0 <strong>the</strong>re are choices for B such that <strong>the</strong><br />
Turing-Hopf bifurcation becomes subcritical (stable patterns and<br />
stable background state)<br />
◮ for γ = 1 and C = 0 (<strong>Gray</strong>-<strong>Scott</strong>) <strong>the</strong> boundary of <strong>the</strong> full <strong>Busse</strong><br />
balloon consists of a complex interplay of different instabilities<br />
(Hopf, sideband, fold...)<br />
◮ for C > 0 (and γ = 1), <strong>the</strong> Hopf dance moves out of <strong>the</strong> stable<br />
<strong>Busse</strong> region<br />
Sjors van der Stelt <strong>Busse</strong> <strong>balloons</strong>
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