English

A shooting approach to the Lorenz equations

Dynamical Systems 2016-09-06 v1

Abstract

We announce and outline a proof of the existence of a homoclinic orbit of the Lorenz equations. In addition, we develop a shooting technique and two key conditions, which lead to the existence of a one-to-one correspondence between a set of solutions and the set of all infinite sequences of 1's and 3's.

Keywords

Cite

@article{arxiv.math/9210217,
  title  = {A shooting approach to the Lorenz equations},
  author = {Stuart P. Hastings and William C. Troy},
  journal= {arXiv preprint arXiv:math/9210217},
  year   = {2016}
}

Comments

6 pages

R2 v1 2026-07-22T17:54:04.801Z