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How to determine the existence of limit cycle?

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#dynamical-systems #bifurcation
418
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Analyzing Zeeman's heartbeat equations. Proving that there is one and only limit cycle

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#ordinary-differential-equations #analysis #bifurcation
149
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Bifurcation in 1D with two parameters

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#ordinary-differential-equations #dynamical-systems #bifurcation
177
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Linear Stability Analysis of a System of PDEs

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#real-analysis #linear-algebra #ordinary-differential-equations #partial-differential-equations #bifurcation
1.3k
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Nondimensionalization of the logistic equation.

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#ordinary-differential-equations #dynamical-systems #nonlinear-system #bifurcation #nonlinear-dynamics
53
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Geometric significance of a bifurcation point with algebraic multiplicity $2$?

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#ordinary-differential-equations #dynamical-systems #nonlinear-system #bifurcation #nonlinear-dynamics
23
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Invariance of supercritical bifurcations under change of variables?

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#nonlinear-system #bifurcation
849
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Bifurcation in a linear system with 2 equations and 1parameter

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#ordinary-differential-equations #dynamical-systems #mathematical-modeling #stability-in-odes #bifurcation
159
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bifurcation classification

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#ordinary-differential-equations #bifurcation
719
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Bifurcation points of differential equation (example)

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#ordinary-differential-equations #dynamical-systems #stability-in-odes #bifurcation
54
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Bifurcation points of system of non linear differential equations

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#ordinary-differential-equations #stability-in-odes #bifurcation
82
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How to generalize transversality condition?

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#general-topology #differential-geometry #nonlinear-system #bifurcation
187
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Bifurcation of two parameters $\lambda$,$\mu$

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#ordinary-differential-equations #dynamical-systems #stability-in-odes #bifurcation
275
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How to find bifurcation value from a potential

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#ordinary-differential-equations #chaos-theory #bifurcation
1.1k
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Finding the critical value of bifurcation

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#ordinary-differential-equations #dynamical-systems #bifurcation

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