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The role of eigenvalue multiplicity in bifurcations

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#ordinary-differential-equations #differential-geometry #dynamical-systems #control-theory #bifurcation
221
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Normal form and bifurcation

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#dynamical-systems #bifurcation
144
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Period-1 and period-2 period doubling bifurcation.

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#dynamical-systems #bifurcation
106
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ODE and Bifurcation of firing mechanism of a neurone

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#ordinary-differential-equations #bifurcation
135
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Proof of ABCD Lemma

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#hilbert-spaces #banach-spaces #vector-space-isomorphism #bifurcation
65
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Find the values of $\epsilon$ at the two pair bifurcation points of the polynomial: $\phi(x,\epsilon):=(x-2)^2(x-3)+\epsilon^2=0$.

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#perturbation-theory #bifurcation
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
347
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Singularity of the Jacobian matrix and bifurcation in ODE

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#ordinary-differential-equations #differential-topology #control-theory #vector-fields #bifurcation
233
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Hopf Bifurcation - Planar System

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#ordinary-differential-equations #dynamical-systems #chaos-theory #bifurcation
96
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Can $\alpha=1$ be a bifurcation point if $\alpha\geq 1$?

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#ordinary-differential-equations #dynamical-systems #chaos-theory #bifurcation
226
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Riemann Zeta Zeros and Andronov-Hopf bifurcation

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#complex-analysis #dynamical-systems #riemann-zeta #bifurcation
1.1k
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Find homoclinic bifurcation points

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#dynamical-systems #bifurcation
83
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$z_{n+1} = v z_n ^5 - (v-1) z_n $ with $ v = 3,06328648997749...$

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#dynamical-systems #closed-form #supremum-and-infimum #chaos-theory #bifurcation
99
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Value of b which moves quadratic from a stable fixed point to a stable period 2 point

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#numerical-methods #bifurcation
3.3k
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Matlab code for logistic map bifurcation

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#matlab #bifurcation

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