## Bifurcation

Chaos is also known in relation to bifurcation. The following equation yields bifurcation:

where r is the growth rate per capita, t is the time, N the number of organisms, and Kthe carrying capacity. When r is above 2, the equation gives two stable fixed points; when above 2.6, four stable fixed points; when above

2.75, eight stable fixed points; and through successive bifurcations, an infinite hierarchy of stable cycles of the period 2n arises.

Chaos is rare in ecological systems, but a few examples show that chaos may occur. The best known example is the lemming population, where density (number per hectare) may fluctuate between two bifurcation values.

Was this article helpful?

Get All The Support And Guidance You Need To Be A Success At Helping Save The Earth. This Book Is One Of The Most Valuable Resources In The World When It Comes To How To Recycle to Create a Better Future for Our Children.

Get My Free Ebook

## Post a comment