Nullcline

Nullcline

Nullclines, sometimes called zero-growth isoclines, are encountered in a system of ordinary differential equations

x1' = f1(x1,...xn)
x2' = f2(x1,...xn)
.
.
.
xn' = fn(x1,...xn)

where the ' here represents a derivative with respect to another parameter, such as time t. Nullclines are the geometric shape for which xj' = 0 for any j. The fixed points of the system are located where all of the nullclines intersect. In a two-dimensional linear system, the nullclines can be represented by two lines on a two-dimensional plot.

External links



Wikimedia Foundation. 2010.

Игры ⚽ Поможем написать реферат

Look at other dictionaries:

  • List of mathematics articles (N) — NOTOC N N body problem N category N category number N connected space N dimensional sequential move puzzles N dimensional space N huge cardinal N jet N Mahlo cardinal N monoid N player game N set N skeleton N sphere N! conjecture Nabla symbol… …   Wikipedia

  • Transversality — in mathematics is a notion that describes how spaces can intersect; transversality can be seen as the opposite of tangency, and plays a role in general position. It formalizes the idea of a generic intersection in differential topology. It is… …   Wikipedia

  • FitzHugh–Nagumo model — The FitzHugh Nagumo model (named after Richard FitzHugh, 1922 ndash;2007) describes a prototype of an excitable system, i.e., a neuron.If the external stimulus I { m ext} exceeds a certain threshold value, the system will exhibit a characteristic …   Wikipedia

Share the article and excerpts

Direct link
… Do a right-click on the link above
and select “Copy Link”