## 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.

## Project Earth Conservation

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.

## Post a comment