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Persistence of elliptic / parabolic fixed points of maps and flows

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#dynamical-systems #implicit-function-theorem #stability-theory #diffeomorphism #nonlinear-dynamics
226
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Investigating the stability of a discrete system equilibrium

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#dynamical-systems #stability-theory #lyapunov-functions
318
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Finite difference method stability with irregular discretization

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#partial-differential-equations #finite-differences #stability-theory
54
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Help understand inequality algebra and stability analysis Du Fort-Frankel scheme PDE

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#inequality #partial-differential-equations #numerical-methods #finite-differences #stability-theory
132
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Leap Frog/Multi step method stability

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#numerical-methods #finite-differences #stability-theory #finite-difference-methods
647
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Prove that the origin is Liapunov Stable for the given system

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#ordinary-differential-equations #dynamical-systems #epsilon-delta #stability-in-odes #stability-theory
491
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Showing a fixed point of a system is not Liapunov stable or attracting using $\epsilon-\delta$

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#ordinary-differential-equations #dynamical-systems #epsilon-delta #stability-in-odes #stability-theory
216
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What can linear stability analysis say about trajectories starting in the neighbourhood of a fixed point? The role of Arnold diffusion

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#ordinary-differential-equations #dynamical-systems #stability-in-odes #chaos-theory #stability-theory
1.2k
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Show that the following is asymptotically stable - Liapunov function

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#ordinary-differential-equations #stability-in-odes #stability-theory
108
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Determine the constants $a$ and $b$ in terms of the parameter $α$ in such a way that the multistep method have the largest order possible

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#calculus #real-analysis #ordinary-differential-equations #numerical-methods #stability-theory
321
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Liénard-Chipart Stability Criterion

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#polynomials #dynamical-systems #stability-theory
921
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Linear vs nonlinear stability in PDEs

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#partial-differential-equations #dynamical-systems #stability-theory
603
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Backward heat equation

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#partial-differential-equations #stability-in-odes #stability-theory #parabolic-pde
119
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Usage of Floquet's Method

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#ordinary-differential-equations #dynamical-systems #stability-in-odes #stability-theory
248
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Asymptotic Stability Criterion

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#derivatives #recurrence-relations #proof-explanation #stability-theory

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