Henon & Ikeda Attractor Physical System Explained

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Discussion Overview

The discussion revolves around the physical systems represented by the Henon and Ikeda attractors, exploring their origins and applications in chaos theory and non-linear dynamics. Participants seek clarification on whether the inquiry pertains to the physical or mathematical aspects of these attractors.

Discussion Character

  • Exploratory
  • Debate/contested

Main Points Raised

  • One participant requests information about the physical system of the Henon and Ikeda attractors for an assignment.
  • Another participant suggests that the inquiry is more about the mathematical system, linking it to chaos theory and non-linear dynamics.
  • A different participant compares the Henon attractor to the Lorenz attractor, indicating that it serves as a model for atmospheric convection.
  • Another participant points out that the Henon attractor originated from studying perturbations in asteroid orbits, while the Ikeda attractor is related to non-linear optical systems.

Areas of Agreement / Disagreement

Participants express differing views on whether the focus should be on the physical or mathematical systems of the attractors, indicating a lack of consensus on the primary question being asked.

Contextual Notes

There are unresolved assumptions regarding the definitions of "physical system" and "mathematical system," which may affect the clarity of the discussion.

newton1
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can someone tell me what's the physical system of Henon and Ikeda attractor?? or tell me some web side about this, because i need to do an assignment:wink: thank you!
 
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What do you mean by "what's the physical system..."? Don't you mean whta's the mathematical system of the Henon and Ikeda attractors?

'Cos if you if you do the answer is easy: chaos theory/non-linear dynamics

http://mathworld.wolfram.com/HenonMap.html
 
Originally posted by jcsd
What do you mean by "what's the physical system..."? Don't you mean whta's the mathematical system of the Henon and Ikeda attractors?

'Cos if you if you do the answer is easy: chaos theory/non-linear dynamics

http://mathworld.wolfram.com/HenonMap.html

no no...
just like Lorenz attractor, it's a model as atmospheric convection
do you what i mean?
 
No, I still don't quite understand you, as strange attractors can be viewed abstarctly, but the Henon attractor came about from the study of peturbations in asteroid orbits and the Ikeda attractor came about from the study of non-linear optical systems:

http://hypertextbook.com/chaos/21.shtml
 
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