Farey-Lorenz Permutations for Interval Maps

被引：6

作者：

Geller, William ^{[1
]}

Misiurewicz, Michal ^{[1
]}

机构：

[1] Indiana Univ Purdue Univ, Dept Math Sci, 402 N Blackford St, Indianapolis, IN 46202 USA

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2018年 / 28卷 / 02期

关键词：

Interval maps; Lorenz-like maps; Farey neighbors; mixed-mode oscillations;

D O I：

10.1142/S0218127418500219

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Lorenz-like maps arise in models of neuron activity, among other places. Motivated by questions about the pattern of neuron firing in such a model, we study periodic orbits and their itineraries for Lorenz-like maps with nondegenerate rotation intervals. We characterize such orbits for the simplest such case and gain substantial information about the general case.

引用

页数：7