![Nonlinear Dynamics and Chaos](https://www.bartleby.com/isbn_cover_images/9780813349107/9780813349107_largeCoverImage.gif)
Concept explainers
Interpretation:
To explore the phase portrait of a system
Concept Introduction:
➢ For two-dimensional system, limit cycles are created or destroyed by four ways:
1) Hopf bifurcation
2) Saddle-node or fold bifurcation of cycles: In this bifurcation, two limit cycles coalesce and annihilate.
3) Infinite period bifurcation: In this bifurcation, the fixed points appear on the circle.
4) Homoclinic or saddle-loop bifurcation: In this bifurcation, the limit cycle touches the saddle point and becomes a Homoclinic orbit. This is another type of infinite-period bifurcation.
![Check Mark](/static/check-mark.png)
Want to see the full answer?
Check out a sample textbook solution![Blurred answer](/static/blurred-answer.jpg)
Chapter 8 Solutions
Nonlinear Dynamics and Chaos
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,
![Text book image](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)