ITERATION OF DIFFERENTIABLE FUNCTIONS UNDER m-MODAL MAPS
We consider the dynamical system (A,T), where A is a class of differentiable real functions defined on some interval and T:A→A is an operator Tφ:= foφ, where f is a function on the real line. In this work we introduce and develop some techniques of symbolic dynamics for the dynamical system (A,T). W...
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| Other Authors: | , |
| Format: | article |
| Language: | eng |
| Published: |
2012
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10174/3796 |
| Country: | Portugal |
| Oai: | oai:dspace.uevora.pt:10174/3796 |
| Summary: | We consider the dynamical system (A,T), where A is a class of differentiable real functions defined on some interval and T:A→A is an operator Tφ:= foφ, where f is a function on the real line. In this work we introduce and develop some techniques of symbolic dynamics for the dynamical system (A,T). We analyze in detail the case in which T arises from a differentiable m-modal map f. In this case we obtain a combinatorial description of the orbits of (A,T) which depends on the combinatorial description of the orbits of one dimensional dynamical system induced by f on the interval. |
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