proposition 32.60 Libration width of a mean-motion resonance
open in the book ·
parts/03-classical-mechanics/15-nonlinear-dynamics-chaos.tex:1692
· p. 1100
Rests on
- depends_on equation 32.19 eq:chaos-kam-hamiltonian ¶
-
depends_on
proposition 32.55
Chirikov's resonance-overlap estimate
¶
- depends_on equation 32.19 eq:chaos-kam-hamiltonian ¶ ↺
- depends_on equation 32.25 eq:chaos-standard-map ¶
- proves proof ch:15-nonlinear-dynamics-chaos@proof-18 ¶
- proves proof ch:15-nonlinear-dynamics-chaos@proof-21 ¶
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | eq:chaos-kam-hamiltonian | declared | parts/03-classical-mechanics/15-nonlinear-dynamics-chaos.tex:1724 |
depends_on |
→ | Chirikov's resonance-overlap estimate | declared | parts/03-classical-mechanics/15-nonlinear-dynamics-chaos.tex:1724 |
proves |
← | ch:15-nonlinear-dynamics-chaos@proof-21 | declared | parts/03-classical-mechanics/15-nonlinear-dynamics-chaos.tex:1727 |