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Prove that $x_0$ is Lyapunov unstable

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#ordinary-differential-equations #dynamical-systems #stability-in-odes #lyapunov-functions
42
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Why can I assume a $\phi$-invariant function is bounded from below?

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#riemannian-geometry #dynamical-systems #curvature
48
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How to find the basic reproductive number $R_0$ of a non-autonomous dynamical system?

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#dynamical-systems #mathematical-modeling #stability-theory
24
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Orbit of a homeomomorphism $g$ that is closed to the homeomorphism $f$

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#functional-analysis #dynamical-systems
69
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Counting the number of equilibrium of a dynamical systems

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#real-analysis #ordinary-differential-equations #dynamical-systems
286
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Best numerical method for solving ODEs with periodic solutions?

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#ordinary-differential-equations #numerical-methods #dynamical-systems
281
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Why do fixed points and stability matter in biological systems?

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#dynamical-systems #stability-in-odes #biology #bifurcation #fixed-points
257
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Stability of a torus in a dynamic system

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#ordinary-differential-equations #dynamical-systems #stability-in-odes
127
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Derivatives in the space of finite signed measures.

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#measure-theory #dynamical-systems #borel-measures
988
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Question on Hartman-Grobman theorem : stability of equilibrium of a non linear ODE is the same than the linearised ODE

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#ordinary-differential-equations #dynamical-systems
3.4k
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Stability of linear time-varying systems

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#ordinary-differential-equations #dynamical-systems #control-theory #stability-in-odes #linear-control
272
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The Duffing oscillator - Discrete Jacobian matrix

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#ordinary-differential-equations #dynamical-systems #jacobian
100
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Hausdorff distance and $C^0$-distance

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#general-topology #dynamical-systems
214
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Equilibrium Solutions - Seeing Algebraically why starting at an equilibrium point leads to a constant solution

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#ordinary-differential-equations #dynamical-systems #stability-in-odes #steady-state
92
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Does $S^n$ admit expansive homeomorphism for some $n \ge 3$?

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#general-topology #dynamical-systems #topological-groups #ergodic-theory #locally-compact-groups

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