6533b859fe1ef96bd12b7fde

RESEARCH PRODUCT

CHAOTIC POLYNOMIALS IN SPACES OF CONTINUOUS AND DIFFERENTIABLE FUNCTIONS

subject

description

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.