List questions from hamilton-equations

Published on 10 Mar 2026 - 2:25

121

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Is time-1 map of a Hamiltonian vector field defined on a cylinder always twist?

Published on 15 Apr 2026 - 6:43

149

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Why are all level sets of this Hamiltonian bounded?

Published on 22 Apr 2026 - 21:19

19

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Hamiltonian tends to $+\infty$ as $\lVert x\rVert+\lVert y\rVert\to\infty$

Published on 19 Apr 2026 - 15:55

1k

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Is this the pullback of a Hamiltonian flow?

Published on 29 Mar 2026 - 15:57

115

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Why does this show that every solution exists for all $t\in (-\infty,+\infty)$?

Published on 18 Apr 2026 - 23:35

775

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Is there a more formal way to prove Liouville's theorem on the conservation of symplectic volume?

Published on 25 Mar 2026 - 12:29

284

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What is a Hamiltonian in a Poisson algebra?

Published on 29 Mar 2026 - 15:57

67

Views

Using Cayley hamilton therom to find the value of matrix

Published on 25 Mar 2026 - 12:25

164

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How does Melnikov function for a Hamiltonian change if one considers an augmented symplectic manifold?

Published on 25 Mar 2026 - 12:29

169

Views

Infinite dimensional Hamiltonian systems: looking for textbook/general results

Published on 25 Mar 2026 - 12:29

335

Views

Integral with variation (principle of least action)

Published on 25 Mar 2026 - 12:26

254

Views

Poincaré surface of section of the kicked rotator

Published on 25 Mar 2026 - 12:27

366

Views

Hamiltonian Mechanics and the Symplectic Category

Published on 25 Apr 2026 - 17:26

105

Views

Unique solution to a boundary value problem

Published on 25 Mar 2026 - 12:21

List Question

Why does this solution tend to infinity as $t$ grows?

Is time-1 map of a Hamiltonian vector field defined on a cylinder always twist?

Why are all level sets of this Hamiltonian bounded?

Hamiltonian tends to $+\infty$ as $\lVert x\rVert+\lVert y\rVert\to\infty$

Is this the pullback of a Hamiltonian flow?

Why does this show that every solution exists for all $t\in (-\infty,+\infty)$?

Is there a more formal way to prove Liouville's theorem on the conservation of symplectic volume?

What is a Hamiltonian in a Poisson algebra?

Using Cayley hamilton therom to find the value of matrix

How does Melnikov function for a Hamiltonian change if one considers an augmented symplectic manifold?

Infinite dimensional Hamiltonian systems: looking for textbook/general results

Integral with variation (principle of least action)

Poincaré surface of section of the kicked rotator

Hamiltonian Mechanics and the Symplectic Category

Unique solution to a boundary value problem

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