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15
29
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Fixed point analysis at the origin that appears to be a source, but is undefined.

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#ordinary-differential-equations #dynamical-systems #fixed-points #nonlinear-dynamics #indeterminate-forms
52
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How can I check that the following map is not topologically mixing?

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#functional-analysis #analysis #dynamical-systems #ergodic-theory #mixing
41
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The idea behind correlation decay -- the space of observables

Published on
#analysis #soft-question #dynamical-systems #intuition #ergodic-theory
125
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Hint for showing that the equilibrium of a nonlinear system is a center

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#ordinary-differential-equations #dynamical-systems #stability-theory
60
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Alekseev Cone Field Criterion

Published on
#dynamical-systems
86
Views

Observability Gramian of an Unscented Kalman Filter not Matching Estimation Results

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#dynamical-systems #nonlinear-analysis #kalman-filter
27
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How can non-chaotic curves fill a (hyper)torus and chaotic curves fill the entire energy hypersphere?

Published on
#reference-request #dynamical-systems #mathematical-physics #ergodic-theory #chaos-theory
167
Views

Drawing the phase portrait of an autonomous ODE

Published on
#ordinary-differential-equations #dynamical-systems
71
Views

Equivalence of two definitions of ergodicity

Published on
#measure-theory #dynamical-systems #ergodic-theory
31
Views

Weak convergence of measures on the Gromov boundary of a finitely generated free group

Published on
#measure-theory #dynamical-systems #hyperbolic-geometry #geometric-measure-theory #geometric-group-theory
55
Views

Time Derivative of Dynamical System

Published on
#ordinary-differential-equations #dynamical-systems #stability-theory #nonlinear-dynamics
28
Views

$\mathcal{C}^1$-bound on topologically equivalent vector fields

Published on
#ordinary-differential-equations #differential-topology #dynamical-systems
51
Views

Asymptotics for this limit iteration with $f(x)= 2x + x^5 ,g(x) = x + x^3$

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#limits #asymptotics #dynamical-systems #closed-form #supremum-and-infimum
86
Views

Singularity and periodic orbit in ODE systems

Published on
#ordinary-differential-equations #dynamical-systems #stability-in-odes
46
Views

Relation between the convergence of a differentiable function and the convergence of its derivative

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#real-analysis #limits #derivatives #dynamical-systems #control-theory

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