5. Conservative Systems Flashcards
1
Q
Definition 5.1
Hamiltonian and Hamiltonian System.
A
2
Q
Proposition 5.2
Derivative of the Hamiltonian.
Proof.
A
3
Q
Definition 5.4
Conserved quantity.
Level set.
A
4
Q
Theorem 5.5
If x* is a local max. or min. point for a conserved quantity, then…
Proof.
A
5
Q
5.2 The Undamped Pendulum
A
6
Q
Proposition 5.6
(Undamped Pendulum) Every level such that E >= -1 is…
Proof.
A
7
Q
5.3 The Damped Pendulum
A
8
Q
Lemma 5.7
(The Damped Pendulum) H is what… and is what along orbits except where?
Proof.
A
9
Q
Theorem 5.8
(The Damped Pendulum) w(x) is what for every x \in X. Also, the region enclosed by what is what?
Proof.
A
