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Results tagged with ca.classical-analysis-and-odes
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user 30684
Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.
15
votes
Accepted
Steepest descent/gradient descent as dynamical system
This topic has long history. Here are some references:
Bloch, Anthony M. "Steepest descent, linear programming and Hamiltonian flows." Contemp. Math. AMS 114 (1990): 77-88.
Brockett, Roger W. Dynami …
- 2,281
5
votes
1
answer
366
views
A theory of bifurcation of braids ?
I am trying to study the braids generated by periodic orbits of diffeomorphisms of compact surfaces (for example, a punctured disk). The diffeomorphisms are generated by integrating a two-dimensional …
- 2,281
2
votes
Accepted
Reference request: Invariant sets of dynamical systems
I am assuming you are interested in multidimensional case $x\in\mathbb R^n$.
Let $\Omega$ be the set whose invariance you are interested in estabilishing.
There are two types of problems here:
A). …
- 2,281
1
vote
Measuring how suboptimal control is
Model predictive control (MPC, aka receding horizon control) is one type of sub-optimal control method that is extremely well studied and popular. The "sub-optimality" of this type of control methods …
- 2,281
0
votes
Link between controllability of ODEs and controllability of transport equations
Here's another references:Elamvazhuthi, Karthik, et al. "Bilinear controllability of a class of advection–diffusion–reaction systems." IEEE Transactions on Automatic Control 64.6 (2018): 2282-2297.
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