Product of gradients at intersection of null clines in 2D system


by Appaloosa
Tags: 2d systems, fixed points, nonlinear systems, null clines, stability
Appaloosa
Appaloosa is offline
#1
Apr28-12, 08:43 PM
P: 2
Hi all,

it seems that there is a rule of thumb used by some researchers looking at nonlinear systems whereby they determine the stability of fixed points based on the product of the gradients of the null clines at the point where they intersect. in particular if the product of the gradients is < -1 the fixed point is assumed to be stable and if it is > -1 the fixed point is either neutrally stable or unstable. i can't find the proof of this result anywhere, does anyone know of a reference which discuss this result or know if this is a named theorem?

many thanks..
Phys.Org News Partner Mathematics news on Phys.org
Researchers help Boston Marathon organizers plan for 2014 race
'Math detective' analyzes odds for suspicious lottery wins
Pseudo-mathematics and financial charlatanism

Register to reply

Related Discussions
Product of two subgroups and intersection with p-subgroup Linear & Abstract Algebra 1
A question about intersection of system of sets Set Theory, Logic, Probability, Statistics 30
Intersection of plane in spherical coordinate system General Math 1
Intersection of planes using cross product Precalculus Mathematics Homework 8
Intersection of Product spaces Calculus & Beyond Homework 1