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Why is u=0 always an unstable fixed point?

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#ordinary-differential-equations #analysis #limits #dynamical-systems #biology
703
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Sketching a phase portrait and proving it has no periodic orbits

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#calculus #linear-algebra #ordinary-differential-equations #derivatives #dynamical-systems
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Stable limit cycle

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#ordinary-differential-equations #dynamical-systems #stability-in-odes #chemistry
24
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State space of a pendulum as $S^{1} \times \Bbb{R}$?

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#dynamical-systems
72
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Differential operators and rules for Ore polynomials

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#dynamical-systems #noncommutative-algebra #differential-operators
69
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$A \in M_2(\mathbb{R})$ positive stable if and only if $\textrm{trace}(A) > 0$ and $\det(A) > 0$?

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#linear-algebra #matrices #dynamical-systems #machine-learning
136
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What is the formal definition of "memory" in an LTI, continuous dynamical system?

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#dynamical-systems
533
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Nonlinear Dynamics: How to tell the stability of fixed points?

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#dynamical-systems #stability-theory #nonlinear-dynamics
37
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Splitting high- and low-freq oscilation and averaging the former

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#dynamical-systems #perturbation-theory
199
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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
222
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Investigating the stability of a discrete system equilibrium

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#dynamical-systems #stability-theory #lyapunov-functions
194
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Solving Finite Difference Equation using Matlab

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#dynamical-systems #matlab #finite-differences #nonlinear-dynamics
56
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Dimension reduction and bifurcation analysis

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#dynamical-systems
45
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Slow modulation of the linear harmonic oscillator

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#ordinary-differential-equations #dynamical-systems
4.9k
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Nonlinear dynamics book for self study

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#reference-request #dynamical-systems #book-recommendation #nonlinear-dynamics

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