2005Communications in Theoretical PhysicsRequires access

Homoclinic (Heteroclinic) Orbit of Complex Dynamical System and Spiral Structure

Zuntao Fu, Shida Liu, Liu Shi-Kuo, Liang Fu-Ming, Guojun Xin

Open publisher page 4 citations

Abstract

Starting from iterated systems, it is shown that the homoclinic (heteroclinic) orbit is a kind of spiral structure. The emphasis is laid to show that there are homoclinic or heteroclinic orbits in complex discrete and continuous systems, and these homoclinic or heteroclinic orbits are some kind of spiral structure.

About this research paper

What this paper is about

Starting from iterated systems, it is shown that the homoclinic (heteroclinic) orbit is a kind of spiral structure. The emphasis is laid to show that there are homoclinic or heteroclinic orbits in complex discrete and continuous systems, and these homoclinic or heteroclinic orbits are some kind of spiral structure.

Why it matters

OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Starting from iterated systems, it is shown that the homoclinic (heteroclinic) orbit is a kind of spiral structure. The emphasis is laid to show that there are homoclinic or heteroclinic orbits in complex discrete and continuous systems, and these homoclinic or heteroclinic orbits are some kind of spiral structure.

Key concepts: Homoclinic orbit, Heteroclinic orbit, Heteroclinic cycle, Orbit (dynamics), Homoclinic bifurcation, Spiral (railway), Heteroclinic bifurcation, Iterated function

Related papers

Back to paper searchBrowse research topicsOriginal source
Homoclinic (Heteroclinic) Orbit of Complex Dynamical System and Spiral Structure — Research Paper | ScholarLens