Bifurcation Point (Term)

Added: 29.05.10 13:37 by: dimas  + add info

THIS IS LIKE

 

Bifurcation Point

 

 

 

 

Bifurcation theory is the Mathematics study of changes in the qualitative or topological structure of a given family, such as the integral curves of a family of vector fields, and the solutions of a family of differential equations. Most commonly applied to the mathematics study of dynamical systems, a bifurcation occurs when a small smooth change made to the parameter values (the bifurcation parameters) of a system causes a sudden 'qualitative' or topological change in its behaviour. Bifurcations occur in both continuous systems (described by Ordinary differential equations, Delay differential equations or Partial differential equation), and discrete systems (described by maps).

 

SubscribeSubscribed to "Bifurcation Point".
You will be notified when somebody adds something similar to it.

Share | Email

 

"Bifurcation Point" is like these...

• Term

  Control Parameter
  

  

  1 agree

  + add vote

   
• Term

  Nonlinearity
  

  

  1 agree

  + add vote

   
• Term

  Philosophical Element
  

  

  1 agree

  + add vote

   
• What else is related?

Most Recent Associations:

Show:  Item to Item Item to User (Comments) All

• 1
• 2
• 3

 

Term

 

Bifurcation Point

 

 

Term

 

Control Parameter

 

 

Relationship description

bifurcation arises with the change of control parameter.

Rate (0)

linked by dimas on 18.01.12 and 0 more users

 

Term

 

Bifurcation Point

 

 

Term

 

Nonlinearity

 

 

Relationship description

the point where the state of nonlinear system changes (for example, periodicity changes)

Rate (0)

linked by dimas on 17.01.12 and 0 more users

 

Term

 

Bifurcation Point

 

 

Guide

 

Strogatz on Chaos

 

 

Relationship description

a point of change in the system's long-term behavior

Rate (0)

linked by dimas on 17.01.12 and 0 more users

 

Term

 

Bifurcation Point

 

 

Process

 

Fluctuation

 

 

Relationship description

when fluctuations become sufficiently intense they induce bifurcations or transitions to different states of the system (Prigogine via Innovation Networks)

Rate (0)

linked by dimas on 15.12.10 and 0 more users

 

Term

 

Bifurcation Point

 

 

Term

 

Reaction-DIffusion System

 

 

Relationship description

If the bifurcation is subcritical, often localized structures (dissipative solitons) can be observed in the hysteretic region where the pattern coexists with the ground state. Other frequently encountered structures comprise pulse trains, spiral waves and target patterns.

Rate (0)

linked by dimas on 16.07.10 and 0 more users

 

Your Associations or Comments