Busse balloons - from the reversible Gray-Scott model ... - Eurandom

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$Continuous-time random walks, fractional calculus and ... - Eurandom$

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
Page 3 and 4: The Model Introduction Rise of Patt
Page 5 and 6: The Model Introduction Rise of Patt
Page 7 and 8: Birth of patterns Introduction Rise
Page 13 and 14: Busse balloon Introduction Rise of
Page 21: Conclusions Introduction Rise of Pa
Page 25 and 26: Ongoing research Introduction Rise

Busse balloons - from the reversible Gray-Scott model ... - Eurandom

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