Comments for Hydrobates
https://alanrendall.wordpress.com
A mathematician thinks aloudSat, 01 Jan 2022 15:22:42 +0000
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Comment on Lyapunov-Schmidt reduction by Hopf bifurcations and Lyapunov-Schmidt theory | Hydrobates
https://alanrendall.wordpress.com/2008/12/07/lyapunov-schmidt-reduction/#comment-16730
Sat, 01 Jan 2022 15:22:42 +0000http://alanrendall.wordpress.com/?p=196#comment-16730[…] about the existence proof for Hopf bifurcations. Here I want to explain another proof which uses Lyapunov-Schmidt reduction. This is based on the book ‘Singularities and Groups in Bifurcation Theory’ by […]
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Comment on The existence proof for Hopf bifurcations by Hopf bifurcations and Lyapunov-Schmidt theory | Hydrobates
https://alanrendall.wordpress.com/2014/09/22/the-existence-proof-for-hopf-bifurcations/#comment-16729
Sat, 01 Jan 2022 15:22:39 +0000http://alanrendall.wordpress.com/?p=1772#comment-16729[…] a previous post I wrote something about the existence proof for Hopf bifurcations. Here I want to explain another […]
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Comment on Conference on cancer immunotherapy at EMBL by Uğur Şahin, Özlem Türeçi and The Vaccine | Hydrobates
https://alanrendall.wordpress.com/2017/02/05/conference-on-cancer-immunotherapy-at-embl/#comment-16514
Mon, 04 Oct 2021 09:36:42 +0000http://alanrendall.wordpress.com/?p=2130#comment-16514[…] to hear his talk but it seems that it did not catch my attention since I did not mention it in the account I wrote of that meeting. One of the last lectures I attended live before the pandemic made such […]
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Comment on Immunotherapy for cancer by Uğur Şahin, Özlem Türeçi and The Vaccine | Hydrobates
https://alanrendall.wordpress.com/2015/09/20/immunotherapy-for-cancer/#comment-16513
Mon, 04 Oct 2021 09:36:40 +0000http://alanrendall.wordpress.com/?p=1883#comment-16513[…] was a public lecture he gave about cancer immunotherapy in February 2015 and which I wrote about here. I heard him again in a keynote talk he gave at a conference at EMBL about cancer immunotherapy in […]
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Comment on The pole-shifting theorem by Ram Prasanth
https://alanrendall.wordpress.com/2019/03/22/the-pole-shifting-theorem/#comment-15220
Mon, 02 Aug 2021 10:50:47 +0000http://alanrendall.wordpress.com/?p=2351#comment-15220I just found it now just before 10 minutes of my oral exam on Mathematical Systems Theory. I am going to go through this blog..
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Comment on The Bogdanov-Takens bifurcation by Codimension three bifurcations | Hydrobates
https://alanrendall.wordpress.com/2020/12/29/the-bogdanov-takens-bifurcation/#comment-14774
Tue, 13 Jul 2021 08:06:27 +0000http://alanrendall.wordpress.com/?p=2492#comment-14774[…] eigenvalue. The genericity condition of the first type involves the -jet. The first part BT.0 (cf. this post for the terminology) says that the linearization should not be identically zero. The second part […]
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Comment on Dynamics of the activation of Lck by Codimension three bifurcations | Hydrobates
https://alanrendall.wordpress.com/2021/01/26/dynamics-of-the-activation-of-lck/#comment-14773
Tue, 13 Jul 2021 08:06:25 +0000http://alanrendall.wordpress.com/?p=2504#comment-14773[…] our recent work with Lisa Kreusser on Lck we observed that it can happen that to reach a certain goal it is easier […]
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Comment on From spectral to nonlinear instability by A model for the Calvin cycle with diffusion | Hydrobates
https://alanrendall.wordpress.com/2021/04/28/from-spectral-to-nonlinear-instability/#comment-14656
Tue, 29 Jun 2021 07:12:48 +0000http://alanrendall.wordpress.com/?p=2516#comment-14656[…] where ODE are coupled to a diffusion equation. This can be proved using a method discussed in a previous post which allows nonlinear instability to be concluded from spectral instability. We prove the spectral […]
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Comment on Strongly continuous semigroups by semaths
https://alanrendall.wordpress.com/2021/03/19/strongly-continuous-semigroups/#comment-14219
Sat, 22 May 2021 13:09:55 +0000http://alanrendall.wordpress.com/?p=2508#comment-14219Note that eventually compact, eventually differentiable, analytic and uniformly continuous semigroups are eventually norm-continuous so that the spectral determined growth condition holds in particular for those semigroups.
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Comment on Strongly continuous semigroups by From spectral to nonlinear instability, part 2 | Hydrobates
https://alanrendall.wordpress.com/2021/03/19/strongly-continuous-semigroups/#comment-14211
Fri, 21 May 2021 09:03:25 +0000http://alanrendall.wordpress.com/?p=2508#comment-14211[…] be unbounded. In fact the case I am most interested in here is that where is the generator of a strongly continuous semigroup of linear operators on . Hence may not be globally defined on . It will be assumed that is […]
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