Author Topic: Behavior in dynamical systems  (Read 2883 times)

Offline Alberto Dominguez

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Behavior in dynamical systems
« on: July 17, 2011, 11:15:09 AM »
There are three main types of asymptotic behavior:

Stable: To any initial condition the system evolves over time to a fixed point or to limit periodic cycle.  The set of final states is called Atractor.
Unstable: The system moves away indefinitely from the initial condition.
Chaotic: In this case, the system has the two previous behaviors.  The system state remains in a zone of phase map (strange atractor), but it has not an fixed atractor, neither periodic atractor.  The chaotic system begins to visit the strange atractor states jumping from one point to another in a completely disordered way.

Strange atractor of Lorenz (butterfly effect):

*Source: Documents about Computational Physics I of Physics Undergraduate course from UNED.
« Last Edit: July 17, 2011, 12:04:44 PM by Alberto Dominguez »
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Alberto Domínguez
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