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What is the classification of a fixed point if the trace and determinant are equal?

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#dynamical-systems #fixed-point-theorems #stability-in-odes
43
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$2$-cycles of the map. Suppose that $f(p)=q$ and $f(q)=p$

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#dynamical-systems #fixed-point-theorems #stability-in-odes
46
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How are "cyclic" first-order linear differential equations called?

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#ordinary-differential-equations #stability-in-odes
91
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Stability proof of a seemingly simple nonlinear differential equation?

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#control-theory #stability-in-odes #lyapunov-functions
145
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Global Asymptotic stability of an ODE system?

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#ordinary-differential-equations #stability-in-odes #lyapunov-functions
292
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Stability of a linear time-varying system?

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#control-theory #stability-in-odes #stability-theory #linear-control #lyapunov-functions
106
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Stability of numerical solution of ODE

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#ordinary-differential-equations #numerical-methods #stability-in-odes
99
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Is there a way to show that this ode system is asymptotically stable?

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#ordinary-differential-equations #stability-in-odes #lyapunov-functions
58
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Tips for finding equilibria of high-dimensional nonlinear dynamical systems

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#dynamical-systems #stability-in-odes #stability-theory #fixed-points
59
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Amplitude expansion close to bifurcation

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#ordinary-differential-equations #dynamical-systems #nonlinear-system #stability-in-odes #bifurcation
442
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Stability of the SIR epidemic model — Jacobian is singular

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#ordinary-differential-equations #eigenvalues-eigenvectors #dynamical-systems #stability-in-odes #epidemiology
48
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Question on the controllability of an ODE

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#ordinary-differential-equations #control-theory #stability-in-odes
383
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Lyapunov analysis of marginally stable linear systems

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#linear-algebra #matrices #ordinary-differential-equations #stability-in-odes #lyapunov-functions
29
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Struggle understanding stability

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#nonlinear-system #stability-in-odes #perturbation-theory #stability-theory
47
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Understanding a two-parameter bifurcation

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#ordinary-differential-equations #nonlinear-system #stability-in-odes #bifurcation

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