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In a Banach space $x_n\text{cos}(nt)+ y_n\text{sin}{nt}\rightarrow 0$ implies both sequences individually go to $0$.

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#functional-analysis #dynamical-systems #ergodic-theory
92
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Extending function analytically

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#complex-analysis #dynamical-systems
63
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Dimension of Unstable Manifolds of the Equilibrium Points Connected by a Heteroclinic Orbit

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#general-topology #ordinary-differential-equations #differential-geometry #differential-topology #dynamical-systems
21
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How to prove a process is a forward process base on the time independence of an inner product

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#linear-algebra #stochastic-processes #dynamical-systems
105
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Using PI control to eliminate steady state errors

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#dynamical-systems #control-theory #stability-theory
46
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Iterations of operator at points remain in the unit cube

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#contest-math #dynamical-systems
110
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Fundamental Neighborhood in Ordinary Differential Equations

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#general-topology #geometry #ordinary-differential-equations #differential-geometry #dynamical-systems
129
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How can apply a perturbation method in a system of equations?

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#ordinary-differential-equations #systems-of-equations #dynamical-systems #nonlinear-system #perturbation-theory
451
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What does mod 0 mean in the context of ergodic theory?

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#measure-theory #dynamical-systems #ergodic-theory
80
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The number of attracting fixpoints?

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#complex-analysis #polynomials #dynamical-systems #fractals #fixed-points
369
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Strategy for finding trapping region of a discrete Dynamical System (Hénon map)

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#dynamical-systems #computer-assisted-proofs
858
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How to deal with non-equilibrium operating point

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#ordinary-differential-equations #dynamical-systems #control-theory #nonlinear-system #nonlinear-dynamics
477
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Bifurcation Diagram-confusion

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#ordinary-differential-equations #dynamical-systems
1.4k
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'Modes' in Control Theory

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#dynamical-systems #control-theory #nonlinear-system #linear-control
53
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ODE $\dot u=\sqrt{|u|}$ does not define a flow on $\mathbb{R}$

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#ordinary-differential-equations #dynamical-systems #lipschitz-functions

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