From 201c13e57b78795d68f78f08c45d22820ae2b9e0 Mon Sep 17 00:00:00 2001 From: Martin Braquet <martin.braquet@student.uclouvain.be> Date: Sun, 2 Feb 2020 15:56:36 +0100 Subject: [PATCH] Fix typo --- .../2020/Janvier/All/mads-INMA2370-exam-2020-Janvier-All.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/q7/mads-INMA2370/exam/2020/Janvier/All/mads-INMA2370-exam-2020-Janvier-All.tex b/src/q7/mads-INMA2370/exam/2020/Janvier/All/mads-INMA2370-exam-2020-Janvier-All.tex index 953e38b51..df1a3796e 100644 --- a/src/q7/mads-INMA2370/exam/2020/Janvier/All/mads-INMA2370-exam-2020-Janvier-All.tex +++ b/src/q7/mads-INMA2370/exam/2020/Janvier/All/mads-INMA2370-exam-2020-Janvier-All.tex @@ -64,7 +64,7 @@ Consider the system \begin{enumerate} \item Compute all the equilibria of this system, study their stability, and characterize those that are hyperbolic (attractive or repulsive node or focus, or saddle point); - \item Write the linearized system around the origin. Ex^press all its trajectories as a function of time and initial state; + \item Write the linearized system around the origin. Express all its trajectories as a function of time and initial state; \item For each asymptotically stable equilibrium, give a compact set the interior of which is not empty that is included in the basin of attraction. Assuming that an orbit starts in that set, can you give an upper bound on the time it needs to enter the closed disk centered at the equilibrium and of radius \(\epsilon\) ? Your answer can be valid only for sufficiently small \( \epsilon \) ; \item Draw the equilibria and the set given at the preceding subquestion in the state plane. \end{enumerate} -- GitLab