definition 32.83 The logistic map
open in the book ·
parts/03-classical-mechanics/15-nonlinear-dynamics-chaos.tex:2464
· p. 1109
- ground object -- no derivation owed
Rests on
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depends_on
definition 32.3
Dynamical system, phase space, flow
¶
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depends_on
definition 13.82
Vector field
¶
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depends_on
definition 13.81
Vector on a manifold
¶
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depends_on
definition 13.71
Differentiable curve
¶
- depends_on definition 13.48 Differentiable manifold ¶
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depends_on
definition 13.45
Differentiable map on a topological space
¶
- depends_on definition 13.44 Atlas ¶
- depends_on definition 13.43 Coordinate system ¶
- depends_on definition 13.48 Differentiable manifold ¶ ↺
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depends_on
definition 13.71
Differentiable curve
¶
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depends_on
definition 13.81
Vector on a manifold
¶
- depends_on definition 9.1 Ordinary differential equation ¶
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depends_on
definition 13.82
Vector field
¶
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
- not graded
- declared in the source
- inferred from structure
Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
cites |
→ | Simple mathematical models with very complicated dynamics | derived | parts/03-classical-mechanics/15-nonlinear-dynamics-chaos.tex:2476 |
depends_on |
→ | Dynamical system, phase space, flow | declared | parts/03-classical-mechanics/15-nonlinear-dynamics-chaos.tex:2477 |