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15
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Homoclinic, heteroclinic orbits and nonwandering points

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#differential-topology #dynamical-systems #vector-fields #bifurcation
72
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Finding and studying Poincaré map

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#ordinary-differential-equations #dynamical-systems #chaos-theory
34
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Group action generated by two homeomorphism and group action $\varphi:\langle a, b\rangle\times X\to X$

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#dynamical-systems #group-actions
106
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How to prove the following region is positively invariant?

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#ordinary-differential-equations #dynamical-systems
102
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Why do we expect the solution of a linear ode to have the same shape as the input function?

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#ordinary-differential-equations #dynamical-systems #control-theory
107
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A doubt on the positively invariant sets for a system of ODEs

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#ordinary-differential-equations #dynamical-systems #nonlinear-dynamics #set-invariance
79
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Diophantine vectors

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#real-analysis #number-theory #measure-theory #dynamical-systems
100
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High-probability tail bounds for a quantitative supermartingale inequality.

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#stochastic-processes #dynamical-systems #conditional-probability #martingales
31
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Proof For Formula for Solution to First Order Linear Autonomous System of ODE w/ Complex Eigenvalues

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#linear-algebra #matrices #ordinary-differential-equations #dynamical-systems #vector-analysis
54
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Is there an upper limit on the number of equilibrium points a system of nonlinear odes can have?

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#ordinary-differential-equations #numerical-methods #dynamical-systems #nonlinear-dynamics
174
Views

Is an AR(1) process with Bernoulli errors mixing or ergodic?

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#dynamical-systems #ergodic-theory #time-series #stationary-processes #mixing
28
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Can ellipsoid or other surface trap incoming light or photon

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#geometry #dynamical-systems #billiards
53
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Show there do not exist closed orbits

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#ordinary-differential-equations #dynamical-systems
108
Views

Computing image of linear subspace under sequence of linear maps

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#linear-algebra #matrices #eigenvalues-eigenvectors #linear-transformations #dynamical-systems
43
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Behaviour and limits of $f(n+1) = \frac{f^5(n)}{2} - f(n-1)$

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#limits #polynomials #dynamical-systems #fractions #limsup-and-liminf

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