Fwd: [chaosbook] Invitation to join "nonlinear dynamics 1: geometry of chaos" specialized open online course

[Dmitry Todorov]

Возможно кому-нибудь будет интересен онлайн-курс по хаотичиским дин. системам от довольно известного физика (Predrag Cvitanović).

-------- Forwarded Message --------
Subject:        [chaosbook] Invitation to join "nonlinear dynamics 1: geometry
of chaos" specialized open online course
Date:   Fri, 2 Jan 2015 17:02:18 -0500
From:   Center for Nonlinear Science <c...@gatech.edu>
To:     chao...@lists.gatech.edu



please alert your graduate students, and anyone else who might be
interested - thanks!


  nonlinear dynamics 1:
  geometry of chaos <http://chaosbook.org/course1/about.html>

An advanced introduction to nonlinear dynamics, with emphasis on methods
used to analyze chaotic dynamical systems encountered in science and
engineering.

  * *course homepage:* click here <http://chaosbook.org/course1/index.html>
  * *sign up here:* piazza.com/gatech/spring2015/phys7224
    <http://piazza.com/gatech/spring2015/phys7224>
    use your email (no need for Georgia Tech email address)
    together with access code *phys7224*

------------------------------------------------------------------------


    what is this course about?

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 1: Geometry of chaos* (this course - see syllabus
<http://chaosbook.org/course1/Syllabus.html>)

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

*Nonlinear dynamics 2: Chaos rules* (second course)

  * 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.


    prerequisites

A basic background in linear algebra, calculus, ordinary differential
equations, probability theory, classical and statistical mechanics
<http://chaosbook.org/course1/statMechSkills.html>: ability to work with
equations involving vectors and matrices, differentiate simple
functions, and understand what a probability distribution is. Weekly
homework assignments require both analytic and numerical work, so
familiarity with Python, Matlab or Octave or another programming
language is a necessity <http://chaosbook.org/course1/Software.html>.
For more detail, check the book
<http://www.streamsound.dk/book1/chaos/chaos.html#48/z>.


    part 1 <http://chaosbook.org/course1/index.html>

January 6 - February 26 2015
*[Georgia Tech students: PHYS 7224]*


    part 2

March 3 - April 23 2015


    format

Each of the two courses lasts 8 weeks and consists of book study, with
links to explanatory videos, and weekly homework assignments (no midterm
or final), which include some computer programming. While you are free
to use any computational tool that you are comfortable with, we are
going to provide you Python script templates for computational assignments.


    textbook

The course is in its entirety based on P. Cvitanović  /et al./
ChaosBook.org <http://chaosbook.org/> (experimental format: e-textbook)
<http://www.streamsound.dk/book1/chaos/chaos.html>. In the first 8-week
course we will cover Part I  of the book, or most of the material from
chapter to "Flows" to "Fixed points, and how to get them". All chapter
and section numbers refer to the version 13 of the web e-textbook,
unless stated otherwise. This course is a prepublication test run of the
web e-textbook. Your active participation in improving the book is very
much encouraged.


    instructor

Predrag <http://chaosbook.org/%7Epredrag/>
Predrag Cvitanović <http://chaosbook.org/%7Epredrag/>
Georgia Institute of Technology <https://www.gatech.edu>

--

Best regards, Dmitry Todorov