proposition 32.86 The logistic map at $r=4$ is exactly solvable
open in the book ·
parts/03-classical-mechanics/15-nonlinear-dynamics-chaos.tex:2548
· p. 1110
Rests on
-
depends_on
definition 32.73
Lyapunov spectrum
¶
- depends_on equation 32.45 eq:chaos-variational ¶
- depends_on equation 32.50 eq:chaos-logistic ¶
- proves proof ch:15-nonlinear-dynamics-chaos@proof-29 ¶
Supports
Nothing declares a dependency on this node yet.
Neighborhood
Every logical edge within two steps of this node.
- declared and complete
- partly declared
- a check failed
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | Lyapunov spectrum | declared | parts/03-classical-mechanics/15-nonlinear-dynamics-chaos.tex:2556 |
depends_on |
→ | eq:chaos-logistic | declared | parts/03-classical-mechanics/15-nonlinear-dynamics-chaos.tex:2556 |
proves |
← | ch:15-nonlinear-dynamics-chaos@proof-29 | declared | parts/03-classical-mechanics/15-nonlinear-dynamics-chaos.tex:2559 |