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Proof involving Poisson bracket

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#dynamical-systems #physics #mathematical-physics #poisson-geometry
48
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Fixed points of $u'= u(1-u+ \alpha v)$, $v' = \rho v(1-v + \beta u)$

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#ordinary-differential-equations #dynamical-systems #biology
533
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Is every basin of attraction completely invariant?

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#dynamical-systems #fractals #complex-dynamics #basins-of-attraction
107
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About Duffing equation

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#ordinary-differential-equations #dynamical-systems #systems-of-equations
1.4k
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Approximating Borel Measure with Atomic Measures

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#real-analysis #probability-theory #measure-theory #dynamical-systems #ergodic-theory
536
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If the orbit of a point $x$ is a closed set, then either $x$ has a periodic iterated or its omega-limit is empty.

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#dynamical-systems
462
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a dynamical systems view of the central limit theorem?

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#probability-theory #dynamical-systems #probability-limit-theorems
6.7k
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Phase portrait of ODE in polar coordinates

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#real-analysis #ordinary-differential-equations #dynamical-systems #polar-coordinates #stability-in-odes
71
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Finding a circle in polar coordinates

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#calculus #ordinary-differential-equations #dynamical-systems #polar-coordinates #stability-in-odes
544
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Discrete-time variation of constant formula

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#dynamical-systems #optimal-control
1.7k
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Fixed points of dynamical systems

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#complex-analysis #ordinary-differential-equations #dynamical-systems
108
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Proving solutions to the anisotropic kepler system that meet certain constraints lie on the position axes of configuration space

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#ordinary-differential-equations #dynamical-systems #mathematical-physics #mathematical-astronomy
1.6k
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'Fast' and 'slow' Eigendirection?

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#dynamical-systems #chaos-theory
187
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Time shifted function in differential equation from a control systems problem

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#ordinary-differential-equations #dynamical-systems
45
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solving coupled equation

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#linear-algebra #dynamical-systems

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