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Singular Control Construction for HJB Equation on Poisson Process

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#optimization #stochastic-processes #dynamical-systems #optimal-control #dynamic-programming
51
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integration of iterates vs. integration of powers

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#real-analysis #dynamical-systems
65
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What is the analytic solution for $y' = -\frac{a}{y} + \frac{b}{y^2}$?

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#real-analysis #ordinary-differential-equations #analysis #dynamical-systems
263
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All trajectories of a dynamical systems converges to $0$

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#calculus #ordinary-differential-equations #dynamical-systems
75
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Why is the enveloping semigroup a flow?

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#general-topology #dynamical-systems #topological-groups
34
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What is an algebraic technique to evaluate changes to the fixed point?

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#dynamical-systems #bifurcation
41
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Unique ergodicity on finite set

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#probability-theory #dynamical-systems #ergodic-theory
219
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Behavior of a gradient system

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#calculus #ordinary-differential-equations #dynamical-systems #stability-in-odes
361
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Solenoid is hyperbolic set

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#eigenvalues-eigenvectors #manifolds #dynamical-systems #stability-theory
101
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Calculate one-dim stable manifold

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#ordinary-differential-equations #dynamical-systems #nonlinear-system
111
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How can I show that every orbit in a compact, non-empty, and invariant set $X$ is dense in $X$?

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#ordinary-differential-equations #analysis #dynamical-systems
43
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Bounded Homeomorphism and its inverse

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#ordinary-differential-equations #dynamical-systems
182
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Proving a system is not chaotic

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#reference-request #dynamical-systems #chaos-theory #nonlinear-dynamics
76
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Why is $\Lambda:=\text{Orb}(q)\cup\{p\}$ a hyperbolic set? [see added link in post]

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#real-analysis #proof-explanation #dynamical-systems #fixed-points
36
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Maximal interval $(T_{min}, T_{max})$ of definition for the solution of an ODE: definition

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#abstract-algebra #ordinary-differential-equations #dynamical-systems

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