Transversality between invariant manifolds of periodic orbits for a class of monotone dynamical systems期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Transversality between invariant manifolds of periodic orbits for a class of monotone dynamical systems

Authors:	G. Fusco W. M. Oliva

Affiliation:	(1) Dipartimento di Metodi Matematici, Universitá di Roma La Sapienza,, 00161 Rome, Italy;(2) Departamento de Matemática Aplicada, Instituto de Matemática e Estatística, Universidade de São Paulo, São Paulo-SP, Brazil

Abstract:	We consider a special class of monotone dynamical systems and show that in this special class the stable and unstable manifolds of two hyperbolic periodic orbits always intersect transversally. The proof is based on the existence of a family of positively invariant nested cones.This paper is dedicated to Jack Hale on the occasion of his 60th birthday.

Keywords:	Invariant manifolds transversality monotone system
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