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Find the values of $r$ at which bifurcation occurs

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#dynamical-systems #stability-in-odes #bifurcation
182
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Find a Poincaré map associated with the system

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#ordinary-differential-equations #dynamical-systems #stability-in-odes
941
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Construct a Lyapunov Function for the system

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#ordinary-differential-equations #dynamical-systems #stability-in-odes
91
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Cluster Points of $S_{\Omega}$

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#definition #dynamical-systems
1.2k
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Find and classify the bifurcations that occur as $\mu$ varies for the system

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#ordinary-differential-equations #dynamical-systems #stability-in-odes #bifurcation
229
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Show that the basin of attraction contains $(a,b)$

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#dynamical-systems #basins-of-attraction
92
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For which value of $r$ is the nonlinear dynamical system dissipative?

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#ordinary-differential-equations #dynamical-systems #control-theory #hamilton-equations
354
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Question about phase portrait and invariant subspaces

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#ordinary-differential-equations #dynamical-systems
60
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How to iterate a function 8 times about a given interval of x in a Discrete Dynamical System

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#discrete-mathematics #dynamical-systems #mathematical-modeling #transfinite-recursion #chaos-theory
217
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Determine Slow manifold

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#ordinary-differential-equations #dynamical-systems
138
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Point with a dense trajectory

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#dynamical-systems #ergodic-theory
87
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Drawing Trajectories in a State Space (is Energy Conserved?)

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#ordinary-differential-equations #dynamical-systems #physics
1k
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The meaning of dependent and independent variables in ODEs

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#calculus #ordinary-differential-equations #dynamical-systems
118
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Difference between $\mathbb{T}^n$ and $S^n$ and applications to dynamics (Euler angles and configuration manifolds)

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#general-topology #differential-geometry #manifolds #differential-topology #dynamical-systems
489
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The linearization of a system and the derivative of operator.

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#differential-geometry #dynamical-systems #systems-of-equations #riemannian-geometry #ricci-flow

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