ScholarLens Back to search
2006•Unpublished venueRequires access

Degenerate Orbit Flip Homoclinic Bifurcations with Higher Dimensions

Jian Wu

Open publisher page 0 citations

Abstract

Bifurcations of a degenerate homoclinic orbit with orbit flip in high dimensional system are studied.By establishing a local coordinate system and a Poincare map near the homoclinic orbit,the existence and uniqueness of 1-homoclinic orbit and 1-periodic orbit are given.Also considered is the existence of 2-homoclinic orbit and 2-periodic orbit.In additon,the corresponding bifurcation surfaces are given.

About this research paper

What this paper is about

Bifurcations of a degenerate homoclinic orbit with orbit flip in high dimensional system are studied.By establishing a local coordinate system and a Poincare map near the homoclinic orbit,the existence and uniqueness of 1-homoclinic orbit and 1-periodic orbit are given.Also considered is the existence of 2-homoclinic orbit and 2-periodic orbit.In additon,the corresponding bifurcation surfaces are given.

Why it matters

A significance statement is not available in the OpenAlex record.

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

Bifurcations of a degenerate homoclinic orbit with orbit flip in high dimensional system are studied.By establishing a local coordinate system and a Poincare map near the homoclinic orbit,the existence and uniqueness of 1-homoclinic orbit and 1-periodic orbit are given.Also considered is the existence of 2-homoclinic orbit and 2-periodic orbit.In additon,the corresponding bifurcation surfaces are given.

Key concepts: Homoclinic orbit, Heteroclinic orbit, Homoclinic bifurcation, Orbit (dynamics), Degenerate energy levels, Mathematics, Mathematical analysis, Bifurcation

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Degenerate Orbit Flip Homoclinic Bifurcations with Higher Dimensions — Research Paper | ScholarLens