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Finding the Lyapunov function

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#ordinary-differential-equations #nonlinear-system #stability-in-odes #lyapunov-functions
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Constant solutions of $\cfrac{dy}{dx} = \cfrac{x^{3}-x}{1+e^{x}}$

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#ordinary-differential-equations #stability-in-odes
231
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Derivative of a Lyapunov function for a nonlinear system

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#multivariable-calculus #stability-in-odes #stability-theory #lyapunov-functions
124
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Analysing global stability of a 1-dimensional system?

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#ordinary-differential-equations #systems-of-equations #dynamical-systems #stability-in-odes #stability-theory
95
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Definition of globally uniformly asymptotically stable

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#ordinary-differential-equations #dynamical-systems #nonlinear-system #stability-in-odes #stability-theory
69
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Linear Algebra Question and Matrix Perturbation Problem Solution

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#linear-algebra #matrices #optimization #stability-in-odes #perturbation-theory
909
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Absolute stability of numerical methods for ODEs

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#ordinary-differential-equations #numerical-methods #stability-in-odes #runge-kutta-methods
148
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Selecting a Lyapunov function for a SEI model

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#ordinary-differential-equations #dynamical-systems #nonlinear-system #stability-in-odes #lyapunov-functions
34
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A problem about stability of the origin in an ODE related to sign and parity of the order of the first non-zero $n$-th derivative

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#real-analysis #ordinary-differential-equations #stability-in-odes #lyapunov-functions
103
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Can an unstable saddle point be asymptotically stable?

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#stability-in-odes #stability-theory
96
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does Lyapunov exponent depends on initial state?

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#ordinary-differential-equations #stability-in-odes #stability-theory
158
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What's the need of $\delta$ in the definition of Lyapunov stability?

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#ordinary-differential-equations #stability-in-odes
444
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Using $\delta$-$\varepsilon$ definition to prove stability for autonomous system

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#real-analysis #ordinary-differential-equations #dynamical-systems #epsilon-delta #stability-in-odes
50
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Proof of asymptotic stability

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#ordinary-differential-equations #analysis #stability-in-odes
730
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Does Asymptotic Stability Imply the Existence of a Lyapunov Function for a Nonlinear System?

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#stability-in-odes #nonlinear-dynamics #lyapunov-functions

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