proposition 32.55 Chirikov's resonance-overlap estimate
open in the book ·
parts/03-classical-mechanics/15-nonlinear-dynamics-chaos.tex:1421
· p. 1097
Rests on
- 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 ¶
Supports
- depends_on proposition 32.60 Libration width of a mean-motion resonance ¶
Neighborhood
Every logical edge within two steps of this node.
- declared and complete
- partly declared
- a check failed
- not graded
- declared in the source
- inferred from structure
Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
cites |
→ | A universal instability of many-dimensional oscillator systems | derived | parts/03-classical-mechanics/15-nonlinear-dynamics-chaos.tex:1432 |
depends_on |
→ | eq:chaos-kam-hamiltonian | declared | parts/03-classical-mechanics/15-nonlinear-dynamics-chaos.tex:1433 |
depends_on |
→ | eq:chaos-standard-map | declared | parts/03-classical-mechanics/15-nonlinear-dynamics-chaos.tex:1433 |
depends_on |
← | Libration width of a mean-motion resonance | declared | parts/03-classical-mechanics/15-nonlinear-dynamics-chaos.tex:1724 |
proves |
← | ch:15-nonlinear-dynamics-chaos@proof-18 | declared | parts/03-classical-mechanics/15-nonlinear-dynamics-chaos.tex:1436 |