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Semi-hyperbolic mappings in Banach spaces

Al-Nayef, Anwar Ali Bayer. 1997, Semi-hyperbolic mappings in Banach spaces, Ph.D. thesis, Deakin University.

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Title Semi-hyperbolic mappings in Banach spaces
Author Al-Nayef, Anwar Ali Bayer.
Institution Deakin University
Faculty Faculty of Science and Technology
Degree name Ph.D.
Date submitted 1997
Keyword(s) Banach spaces
Differentiable dynamical systems
Chaotic behavior in systems - Mathematics
Summary The definition of semi-hyperbolic dynamical systems generated by Lipschitz continuous and not necessarily invertible mappings in Banach spaces is presented in this thesis. Complicated dynamical behaviour is often a consequence of the expansivity of a dynamical system. Semi-hyperbolic dynamical systems generated by Lipschitz mappings on a Banach space are shown to exponentially expansive, and explicit rates of expansion are determined. The result is applied to a nonsmooth noninvertible system generated by delay differential equation.
Language eng
Description of original viii, 120 leaves ; 30 cm.
Dewey Decimal Classification 515.732
Persistent URL http://hdl.handle.net/10536/DRO/DU:30023421

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Every reasonable effort has been made to ensure that permission has been obtained for items included in DRO. If you believe that your rights have been infringed by this repository, please contact drosupport@deakin.edu.au.