A Novel Strange Attractor with a Stretched Loop
Chaotic Dynamics
2012-04-03 v1
Abstract
The paper introduces a new 3D strange attractor topologically different from any other known chaotic attractors. The intentionally constructed model of three autonomous first-order differential equations derives from the coupling-induced complexity of the well-known Lotka-Volterra oscillator. The chaotic attractor exhibiting a double scroll bridged by a loop mutates to a single scroll with a very stretched loop by the variation of one parameter. Analysis of the global behavior of the new low dimensional dissipative dynamical model and its range of periodic and a-periodic oscillations are presented.
Keywords
Cite
@article{arxiv.1204.0045,
title = {A Novel Strange Attractor with a Stretched Loop},
author = {Safieddine Bouali},
journal= {arXiv preprint arXiv:1204.0045},
year = {2012}
}
Comments
8 pages, 6 figures (Phase portraits, Bifurcation diagram, Lyapunov Spectrum), 2 tables. Submitted to Chaos, Solitons & Fractals