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How to calculate the monodromy matrix for a system of nonautonomous nonlinear differential equations?

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#ordinary-differential-equations #dynamical-systems #nonlinear-system #nonlinear-dynamics
64
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Examples of specific points $g\in G:=\text{SL}(2,\mathbb R)$ such that the curve $u_tg \Gamma, \Gamma:=\text{SL}(2,\mathbb Z)$ is dense in $G/\Gamma$?

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#general-topology #number-theory #dynamical-systems #ergodic-theory #diophantine-approximation
54
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Real part of the eigenvalues of a matrix product

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#linear-algebra #matrices #eigenvalues-eigenvectors #dynamical-systems #stability-theory
137
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Are there general solutions to quadratic, 2D, continuous, time-invariant dynamical systems?

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#ordinary-differential-equations #dynamical-systems #quadratics #nonlinear-system #nonlinear-dynamics
43
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If we perturb an ODE, with the same starting conditions can we show that they converge together over time or at least do not diverge?

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#real-analysis #ordinary-differential-equations #asymptotics #dynamical-systems #nonlinear-dynamics
22
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Bolzano-Weierstrass theorem in the neoclassical growth model

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#sequences-and-series #optimization #dynamical-systems #economics
36
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Properties of limit set for cellular automata

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#reference-request #dynamical-systems #cellular-automata
26
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Proving Existence of Heteroclinic Orbit between Saddle and Focus

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#ordinary-differential-equations #partial-differential-equations #dynamical-systems
59
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Divergence of a dynamic system after element sign change

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#dynamical-systems #stability-theory #lyapunov-functions
102
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Birth-death : Always more than 1 bifurcation?

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#reference-request #dynamical-systems #perturbation-theory #morse-theory #bifurcation
53
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How to properly discretize and solve the Liouville equation?

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#probability-distributions #partial-differential-equations #numerical-methods #dynamical-systems
59
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Every ergodic invariant measure of one dimensional dynamical system is a Dirac measure

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#ordinary-differential-equations #measure-theory #dynamical-systems #ergodic-theory #nonlinear-dynamics
16
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Finding a topological conjugacy of one-parameter quadratic families

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#dynamical-systems #nonlinear-dynamics
32
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A question on showing $f$ is topological transitive.

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#general-topology #dynamical-systems #unimodular-matrices #topological-dynamics
33
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Any common reference for linear, TIME-VARYING systems?

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#linear-algebra #dynamical-systems #signal-processing #nonlinear-dynamics

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