Dynamics of Functions with an Eventual Negative Schwarzian Derivative

@misc{citeulike:2796869, abstract = {In the study of one dimensional dynamical systems one often assumes that the functions involved have a negative Schwarzian derivative. In this paper we consider a generalization of this condition. Specifically, we consider the interval functions of a real variable having some iterate with a negative Schwarzian derivative and show that many known results generalize to this larger class of functions. The introduction of this class was motivated by some maps arising in neuroscience.}, author = {Webb, Benjamin }, citeulike-article-id = {2796869}, eprint = {0804.4852}, keywords = {1d, dynamical-system, schwarzian}, month = {Apr}, posted-at = {2008-05-14 07:46:03}, priority = {2}, title = {Dynamics of Functions with an Eventual Negative Schwarzian Derivative}, url = {http://arxiv.org/abs/0804.4852}, year = {2008} }

TY - ELEC ID - citeulike:2796869 L3 - citeulike-article-id:2796869 TI - Dynamics of Functions with an Eventual Negative Schwarzian Derivative N2 - In the study of one dimensional dynamical systems one often assumes that the functions involved have a negative Schwarzian derivative. In this paper we consider a generalization of this condition. Specifically, we consider the interval functions of a real variable having some iterate with a negative Schwarzian derivative and show that many known results generalize to this larger class of functions. The introduction of this class was motivated by some maps arising in neuroscience. KW - 1d KW - dynamical-system KW - schwarzian AU - Webb, Benjamin PY - 2008/Apr/30/ UR - http://arxiv.org/abs/0804.4852 ER -