hyperbolic dynamical system
C62661
concept
A hyperbolic dynamical system is one in which the tangent space at each point of an invariant set splits into uniformly contracting and expanding directions, leading to robust, structurally stable behavior under small perturbations.
All labels observed (1)
| Label | Occurrences |
|---|---|
| hyperbolic dynamical system canonical | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: hyperbolic dynamical system
Generated description
A hyperbolic dynamical system is one in which the tangent space at each point of an invariant set splits into uniformly contracting and expanding directions, leading to robust, structurally stable behavior under small perturbations.
Instances (1)
| Instance | Via concept surface |
|---|---|
| Arnold cat map | — |