Display Abstract

Title Chaos in three dimensional Lotka-Volterra equations

Name Rizgar H Salih
Country England
Email rizgar.salih@postgrad.plymouth.ac.uk
Co-Author(s) Colin Christopher
Submit Time 2014-02-25 05:45:27
Session
Special Session 103: Periodic solutions for dynamical systems
Contents
We show that three dimensional Lotka-Volterra systems can exhibit chaos by demonstrating the existence of a horseshoe map. The proof uses a Shilnikov-type structure adapted to the geometry of the these systems.