definition 32.50 Diophantine frequency vector
open in the book ·
parts/03-classical-mechanics/15-nonlinear-dynamics-chaos.tex:1279
· p. 1095
- ground object -- no derivation owed
Rests on
-
depends_on
proposition 32.49
The small-denominator obstruction
¶
- depends_on equation 22.18 eq:ham-generating ¶
- depends_on equation 23.52 eq:hj-angle-linear ¶
- proves proof ch:15-nonlinear-dynamics-chaos@proof-17 ¶
Supports
-
depends_on
theorem 32.51
Kolmogorov–Arnold–Moser, quoted
¶
- depends_on phenomenon 32.58 Regular and chaotic motion coexist ¶
- depends_on phenomenon 32.59 The solar system is chaotic ¶
- depends_on remark 23.33 Integrability is exceptional ¶
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 |
|---|---|---|---|---|
depends_on |
→ | The small-denominator obstruction | declared | parts/03-classical-mechanics/15-nonlinear-dynamics-chaos.tex:1294 |
depends_on |
← | Kolmogorov–Arnold–Moser, quoted | declared | parts/03-classical-mechanics/15-nonlinear-dynamics-chaos.tex:1310 |