List questions from hamilton-equations

Published on 18 Mar 2023 - 22:07

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Reference request: Why is an integrable system called an integrable system and why is the dynamical billiard on a disk completely integrable?

Published on 25 Feb 2026 - 15:39

167

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Conditions for a vector field to be complete.

Published on 26 Jun 2023 - 0:04

65

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Instability of equilibrium points of system $x'=y^3$, $y'=\cos(x)\sin(x)$

Published on 27 Jun 2023 - 13:18

17

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unknown manipulation to deal with variation and obtain energy balance equation?

Published on 14 Mar 2026 - 5:41

85

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What assumption of Noether's theorem fails in this Hamiltonian system with infinitely many particles?

Published on 25 Jul 2023 - 15:00

115

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The use of subscripts in L11 E04 - Classical Mechanics by Leonard Susskind

Published on 28 Jul 2023 - 14:27

49

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Constructing diagonalizable matricies such that matrix exponential of their product is easy to compute.

Published on 08 Sep 2023 - 7:15

29

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Choosing correct parameters in a model with hamiltonian equation

Published on 24 Mar 2026 - 20:20

36

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When do skew symmetric and symmetric positive definite matricies commute?

Published on 19 Sep 2023 - 15:18

53

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Hamiltonians and symplectic transformations

Published on 27 Oct 2023 - 13:53

66

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Transform a differential equation into Hamiltonian form

Published on 23 Feb 2026 - 17:22

23

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$\frac{d}{dt}(d\psi^t)_x(Z)=(d\psi^t)_x([X_H,Z])$ for a critical point $x$ of a Hamiltonian $H$

Published on 01 Dec 2023 - 6:48

48

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Conversion from cartesian coordinates to generalized coordinates

Published on 16 Dec 2023 - 17:18

58

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Canonical transformation for hamiltonian system possessing first integral

Published on 16 Dec 2023 - 22:06

List Question

Is there any practical use for octonions?

Reference request: Why is an integrable system called an integrable system and why is the dynamical billiard on a disk completely integrable?

Conditions for a vector field to be complete.

Instability of equilibrium points of system $x'=y^3$, $y'=\cos(x)\sin(x)$

unknown manipulation to deal with variation and obtain energy balance equation?

What assumption of Noether's theorem fails in this Hamiltonian system with infinitely many particles?

The use of subscripts in L11 E04 - Classical Mechanics by Leonard Susskind

Constructing diagonalizable matricies such that matrix exponential of their product is easy to compute.

Choosing correct parameters in a model with hamiltonian equation

When do skew symmetric and symmetric positive definite matricies commute?

Hamiltonians and symplectic transformations

Transform a differential equation into Hamiltonian form

$\frac{d}{dt}(d\psi^t)_x(Z)=(d\psi^t)_x([X_H,Z])$ for a critical point $x$ of a Hamiltonian $H$

Conversion from cartesian coordinates to generalized coordinates

Canonical transformation for hamiltonian system possessing first integral

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