Loading presentation...

Present Remotely

Send the link below via email or IM

Copy

Present to your audience

Start remote presentation

  • Invited audience members will follow you as you navigate and present
  • People invited to a presentation do not need a Prezi account
  • This link expires 10 minutes after you close the presentation
  • A maximum of 30 users can follow your presentation
  • Learn more about this feature in our knowledge base article

Do you really want to delete this prezi?

Neither you, nor the coeditors you shared it with will be able to recover it again.

DeleteCancel

Make your likes visible on Facebook?

Connect your Facebook account to Prezi and let your likes appear on your timeline.
You can change this under Settings & Account at any time.

No, thanks

Chaos Theory and Mathematics

In what sense might chaos (non-linear dynamical system) theory suggest a limit to the applicability of mathematics to the real world?
by

Chaos Theory

on 27 April 2011

Comments (0)

Please log in to add your comment.

Report abuse

Transcript of Chaos Theory and Mathematics

Chaos Theory!!
Ahhhhh!!!
By: Kate and Isaac Henri Poincaré Three Body Problem Jacques Hadamard Three-Body Problem there can be orbits which are nonperiodic, and yet not forever increasing nor approaching a fixed point http://upload.wikimedia.org/wikipedia/commons/4/45/Double-compound-pendulum.gif http://www.crossgroup.caltech.edu/chaos_new/Lorenz.html What is chaos? 1) sensitive to initial conditions





2) topologically mixing





3) dense periodic orbits the system will evolve over time so that any given region or open set of its phase space will eventually overlap with any other given region every point in the space is approached arbitrarily closely by periodic orbits What is NoT Chaos Theory? http://www.southparkstudios.com/clips/153995/chaos-theory And now to answer the TOK Question: In what sense might chaos (non-linear dynamical system) theory
suggest a limit to the applicability of mathematics to the real world? Weather Now we know what chaos is...
What is Chaos THEORY? • Uses applications from applied mathematics, physics, economics, biology, and philosophy
• Studies the behavior and results of systems that are highly sensitive to initial conditions (ex. Rounding errors)
• There is no way to predict these systems, thus it is known as deterministic chaos
• Also referred to as the butterfly effect Solar System Predictions Environmental Predictions Molecular Predictions Works cited:

Information:
http://ibtokspot.blogspot.com/2010/12/examples.html
http://en.wikipedia.org/wiki/Chaos_theory
http://www.marxist.com/science-old/chaostheory.html
http://www.abarim-publications.com/ChaosTheoryIntroduction.html
http://en.wikipedia.org/wiki/Butterfly_effect

Other:
http://crossgroup.caltech.edu/chaos_new/Lorenz.html
http://www.southparkstudios.com/clips/153995/chaos-theory?tab=playlist
http://www.youtube.com/watch?v=InBBFF0j040
http://www.youtube.com/watch?v=V4hvENrtMeE
WE DON'T How do we know
what we know?? WE DON'T
Full transcript