Workshop




Systems exhibiting integrable dynamics appear ubiquitously in natural phenomena. However, even the most simply-defined deterministic nonlinear ordinary and partial differential equations may admit chaotic behavior. Integrable differential equations possess certain structures that distinguish their solutions from the chaotic, and often display characteristics of both order and chaos for different values of the parameters. Distinguishing chaotic from integrable behavior is itself a difficult task that has led to invaluable insights into both chaotic and integrable systems. 

The discretization of these systems has seen the emergence of many interesting examples of both discretely chaotic systems, such as chaotic maps,  and discrete integrable systems, such as integrable difference equations. Many of the characterizations of chaotic and integrable dynamics possess discrete analogues. The techniques used to advance the theories of discrete chaotic and integrable systems have had origins in a broad range of mathematical disciplines, such as algebraic geometry, random matrix theory and representation theory.

The intersection of the theories pertaining to chaotic and integrable dynamics is a fertile ground for ideas for both of these areas. It is our aim to foster collaboration between researchers. The interaction between the areas may lead to theory regarding the existence and stability of special solutions of chaotic systems, while interesting examples exhibiting seemingly chaotic behavior may be identified as possessing integrable behavior, leading to further developments in integrable dynamics. 

Location : La Trobe University, Bundoora Campus, Australia
Date : 28th-30th of September 2012
Venue: Hooper Lecture Theatre, La Trobe University

Keynote Speakers
  • Dr James Atkinson (University of Sydney, Australia),
  • Prof. Andy Hone (University of Kent, UK),
  • Prof. Kenji Kajiwara (Kyushu University, Japan),
  • Prof. Bernd Krauskopf (University of Auckland, New Zealand),
  • Prof. Wolfgang Schief (University of New South Wales),
  • Prof. Vladimir Sokolov (Landau Institute for Theoretical Physics, Russia),
  • Prof. Ferdinand Verhulst (Utrecht University, Netherlands).
Organisers
  • Christopher Ormerod : C.Ormerod@latrobe.edu.au
  • Sarah Lobb : S.Lobb@latrobe.edu.au
  • Dmitry Demskoi : ddemskoy@csu.edu.au
  • Reinout Quispel : R.Quispel@latrobe.edu.au
  • Peter van der Kamp : P.vanderkamp@latrobe.edu.au

"This event is sponsored by the Australian Mathematical Sciences Institute (AMSI). AMSI allocates a travel allowance annually to each of its member universities. Students or early career researchers from AMSI member universities without access to a suitable research grant or other source of funding may apply to their Head of Mathematical Sciences for subsidy of travel, accommodation and registration fee for out of the departmental travel allowance."