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why is it not possible to have a period-2 orbit(or greater) for a 2D autonomous system?

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#dynamical-systems
127
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Lyapunov exponents for PDEs

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#dynamical-systems
176
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Monotonicity of Poincaré's Map

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#real-analysis #ordinary-differential-equations #dynamical-systems
175
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Why are log-probabilities of global states of Boltzmann machines linear in their energies?

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#statistics #dynamical-systems #machine-learning
584
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Numerical search for periodic orbits

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#algorithms #numerical-methods #dynamical-systems
177
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Boltzmann machines - motivation for the energy function

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#statistics #computer-science #dynamical-systems #mathematical-modeling #machine-learning
493
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Finding periodic points of every period, Sharkovskii's Theorem

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#discrete-mathematics #dynamical-systems #chaos-theory
323
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How can the proof of a local theorem on a manifold involving a map with a fixed point and a differential be reduced to the case of $\mathbb{R}^n$?

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#differential-geometry #manifolds #dynamical-systems
980
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Ergodic Theory (Weak Mixing)

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#dynamical-systems #ergodic-theory #mixing
5k
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What's the point of a Horseshoe map?

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#dynamical-systems
876
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Trapping region of Van der Pol system

Published on
#ordinary-differential-equations #dynamical-systems
91
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Is $g(z)=\frac{1}{z}+\frac{1}{z^2+1}+\frac{1}{(z^2+1)^2 +1}+...$ analytic for $|z|>2$?

Published on
#complex-analysis #dynamical-systems #fractals #complex-dynamics
511
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Proof Strategy for a Dynamical System of Points on the Plane

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#geometry #ordinary-differential-equations #proof-writing #dynamical-systems
1.1k
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Bernoulli shift on $S^\mathbb{Z}$

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#real-analysis #measure-theory #probability-theory #dynamical-systems #ergodic-theory
694
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What is the shape of parabolic critical orbit?

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#dynamical-systems #complex-dynamics

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