Global Aspects of Homoclinic Bifurcations of Vector Fields is popular PDF and ePub book, written by Ale Jan Homburg in 1996, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Global Aspects of Homoclinic Bifurcations of Vector Fields can be Read Online from any device for your convenience.
Global Aspects of Homoclinic Bifurcations of Vector Fields Book PDF Summary
In this book, the author investigates a class of smooth one parameter families of vector fields on some $n$-dimensional manifold, exhibiting a homoclinic bifurcation. That is, he considers generic families $x_\mu$, where $x_0$ has a distinguished hyperbolic singularity $p$ and a homoclinic orbit; an orbit converging to $p$ both for positive and negative time. It is assumed that this homoclinic orbit is of saddle-saddle type, characterized by the existence of well-defined directions along which it converges to the singularity $p$. The study is not confined to a small neighborhood of the homoclinic orbit. Instead, the position of the stable and unstable set of the homoclinic orbit is incorporated and it is shown that homoclinic bifurcations can lead to complicated bifurcations and dynamics, including phenomena like intermittency and annihilation of suspended horseshoes.
Detail Book of Global Aspects of Homoclinic Bifurcations of Vector Fields PDF
- Author : Ale Jan Homburg
- Release : 23 September 1996
- Publisher : American Mathematical Soc.
- ISBN : 9780821804414
- Genre : Mathematics
- Total Page : 143 pages
- Language : English
- PDF File Size : 10,5 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Global Aspects of Homoclinic Bifurcations of Vector Fields by Ale Jan Homburg, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.