CHAOTIC POLYNOMIALS IN SPACES OF CONTINUOUS AND DIFFERENTIABLE FUNCTIONS-Reference-Cited by-同舟云学术

CHAOTIC POLYNOMIALS IN SPACES OF CONTINUOUS AND DIFFERENTIABLE FUNCTIONS

Author:

ARON RICHARD M.,MIRALLES ALEJANDRO

Abstract

AbstractWe construct chaotic m-homogeneous maps acting on

$\mathcal{C}^{r}_{\mathtt{+}}( [0,\infty ))$

for any m ≥ 2,

$r\in\mathbb{N}\cup\{0\},$

and on the Fréchet spaces

$\mathcal{C}_{\mathbb{R}}(\mathbb{R})$

for odd values of m ≥ 3 and

$\mathcal{C}_{\mathbb{C}}(\mathbb{R})$

for any m ≥ 2.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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