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Nonlinear Dynamics 1: Geometry of Chaos

Georgia Institute of Technology

students interested

The theory developed here (that you will not find in any other course :) has much in common with (and complements) statistical mechanics and field theory courses; partition functions and transfer operators are applied to computation of observables and spectra of chaotic systems.

Nonlinear dynamics I: Geometry of chaos

  • Topology of flows - how to enumerate orbits, Smale horseshoes
  • Dynamics, quantitative - periodic orbits, local stability
  • Role of symmetries in dynamics

Nonlinear dynamics II: Chaos rules

  • Transfer operators - statistical distributions in dynamics
  • Spectroscopy of chaotic systems
  • dynamical zeta functions
  • Dynamical theory of turbulence

The course is in part an advanced seminar in nonlinear dynamics, aimed at PhD students, postdoctoral fellows and advanced undergraduates in physics, mathematics, chemistry and engineering.

Taught by

Predrag Cvitanović
Cost Free Online Course
Subject Physics
Provider Independent
Language English
Certificates Certificate Available
Hours 5-7 hours a week
Calendar 8 weeks long
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Reviews for Nonlinear Dynamics 1: Geometry of Chaos
4.3 Based on 3 reviews

  • 5 star 33%
  • 4 stars 67%
  • 3 star 0%
  • 2 star 0%
  • 1 star 0%

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  • 1
5.0 3 months ago
by Predrag Cvitanovic completed this course, spending 8 hours a week on it and found the course difficulty to be very hard.
This review you should take with a large grain of salt, because I'm the instructor in the course. But here you can read what some students wrote about the course:
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4.0 3 years ago
by Bob Brown is taking this course right now, spending 7 hours a week on it and found the course difficulty to be hard.
Good helpful course for those interested in Chaos. Expect to be challenged but you will find the effort worthwhile and rewarding.

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4.0 2 years ago
by Navneeth Gummala audited this course.
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