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15
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Chetaev theorem for discrete time

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#convergence-divergence #dynamical-systems #stability-theory #lyapunov-functions #potential-theory
115
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Find an asymptotic solution of a ODE system

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#calculus #ordinary-differential-equations #dynamical-systems
42
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How to define periodicity of orbits for general group actions?

Published on
#lie-groups #dynamical-systems #homogeneous-spaces
80
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Necessary condition for exponential stability of an LTV system

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#ordinary-differential-equations #analysis #dynamical-systems #control-theory
30
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Sufficient condition for the convergence of the time average of a dynamical system

Published on
#dynamical-systems #ergodic-theory
143
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Finding parameter values for which a system has closed orbits

Published on
#ordinary-differential-equations #dynamical-systems
49
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Modified IVT theorem in $\mathbb{R}^2$

Published on
#real-analysis #systems-of-equations #dynamical-systems #nonlinear-system
64
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What is the intuition behind exponentials in the frequency domain signifying delay in a signal?

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#calculus #dynamical-systems #control-theory
56
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Correspondence between actions of $G$ on $X$ and actions of $G$ on $C_0(X)$

Published on
#dynamical-systems #c-star-algebras
59
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Show that $\dot{x} = y, \dot{y} = -x +\frac{3}{2}x^2$ has a non-periodic, bounded solution using the Lyapunov-function.

Published on
#ordinary-differential-equations #dynamical-systems #stationary-point
20
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Identifying Bifurcation

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#dynamical-systems #stability-theory #bifurcation
15
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Finding the evolution function of a dynamical system from a game-like per-frame evolution function

Published on
#dynamical-systems
52
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Show the existance of a limit cycle for the Lotka-Volterra eqations

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#ordinary-differential-equations #dynamical-systems #limit-cycles
89
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Show that the unit circle is an exponentially stable limit cycle

Published on
#ordinary-differential-equations #dynamical-systems #polar-coordinates #nonlinear-system #limit-cycles
51
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Why does a lack of inversion symmetry in 2D pattern formation lead to hexagons?

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#partial-differential-equations #dynamical-systems #nonlinear-system #biology

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