A simple computable criteria for the existence of horseshoes | Zendy

Salvador AddasZanata | Zendy

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A simple computable criteria for the existence of horseshoes

Author(s) -

Salvador AddasZanata

Publication year - 2007

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2007.17.365

Subject(s) - simple (philosophy) , computable general equilibrium , computable analysis , mathematics , mathematical economics , computer science , pure mathematics , calculus (dental) , computable function , discrete mathematics , economics , epistemology , microeconomics , philosophy , medicine , dentistry

In this note we give a simple computable criteria that assures the ex- istence of hyperbolic horseshoes for certain dieomorphisms of the torus. The main advantage of our method is that it is very easy to check numer- ically whether the criteria is satisfied or not.

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