# zbMATH — the first resource for mathematics

Pseudo-orbit-tracing and chaos. (Chinese. English summary) Zbl 0872.54032
Summary: For a continuous surjection $$f$$ of a compact metric space with infinite elements, we study the relationships between $$f$$ having the pseudo-orbit-tracing property and $$f$$ being chaotic in the sense of Ruelle-Takens, topologically mixing and having property $$P$$.

##### MSC:
 54H20 Topological dynamics (MSC2010) 37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
##### Keywords:
chaos; pseudo-orbit-tracing property