Generalizations of the Perron-Frobenius theorem for nonlinear maps
Author(s)
Bibliographic Information
Generalizations of the Perron-Frobenius theorem for nonlinear maps
（Memoirs of the American Mathematical Society, no. 659）
American Mathematical Society, 1999
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Note
"March 1999, volume 138, number 659 (second of 4 numbers)"--T.p.
Includes bibliographical references
Description and Table of Contents
Description
The classical Frobenius-Perron Theorem establishes the existence of periodic points of certain linear maps in ${\Bbb R}n$. The authors present generalizations of this theorem to nonlinear maps.
Table of Contents
Introduction Basic properties of admissible arrays Further properties of admissible arrays Computation of the sets $P(n)$ Necessary conditions for array admissible sets Proof of Theorem C $P(n)\ne Q(n)$ for general $n$ $P_2(n)$ satisfies rule A and rule B The case of linear maps Bibliography Appendix A Description of the program Appendix B Numerical data.
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