Workshop on

Bifurcation Analysis and its Applications

Montreal, Canada, July 7-10, 2010

Lorenz Manifold
Part of a Lorenz manifold in the preturbulent regime (by Hinke Osinga)

Announcements

Outline

Welcome to the BAA10 Home Page! This four-day workshop will include introductory and specialized presentations on the development of algorithms for the analysis of dynamical systems and various applications. In some sense, it is the continuation of highly successful meetings focused on bifurcation analysis in Amsterdam, Bielefeld, Bristol, Ghent, Seville, Utrecht and, last year, Milan.

Organizers

Eusebius Doedel and Lennaert van Veen.

Principal Themes

Hotel

Le Méridien Versailles.

Location

Engineering and Visual Arts Building (corner rue Ste.-Catherine O. and rue Guy), Concordia University, Montreal, Canada.

Room EV3.309. (After taking the two stairways from the entrance hall to the third floor, turn right, take the first turn left, and then the first turn right.

Transportation

A taxi stand is in front of the airport; a taxi ride to the Hotel Meridien Versailles can reach C$40, especially during rush hour. There is also an airport bus service to the downtown Berri-UQAM metro station, from where one can take the metro to the Guy-Concordia metro station, close to the hotel.

Participation

The workshop is open to the interested public. In order to ensure the workshop room has enough seats, we kindly request that participants register in advance, and before June 28, by sending an email to E. J. Doedel (doedel@cse.concordia.ca). A name tag, which can be picked up at the entrance of the lecture room, should be worn during the workshop.

Programme

The titles and speakers are given below. The abstracts are included in the details. Please select/deselect the link for the details to show/hide the abstract, respectively.

Please check this page shortly before the workshop, as there may be late changes due to travel schedules, etc.

Day/Date: Wednesday, July 7. Theme: Algorithms for ODEs and Conservative Systems

10:00-10:30 Coffee

Talks

Time Title Details Speaker
10:30-11:00 Initialization and continuation of homoclinic orbits to equilibria in MatCont

Details

Yuri Kuznetsov
11:00-11:30 Continuation and bifurcation in conservative systems

Details

Jorge Galán

11:30-12:00 Coffee, Cake, and Discussion

Time Title Details Speaker
12:00-12:30 The role of global manifolds in the transition to chaos in the Lorenz system

Details

Hinke Osinga
12:30-13:00 Computing global dynamics of multiparameter systems

Details

Bill Kalies

13:00-17:00 Lunch and Discussions

Time Title Details Speaker
17:00-17:30 Breakdown of Analyticity: From rigorous results to numerics Details Renato Calleja

Demonstration

Time Title Details Demonstrator
17:30-18:00 Quality of numerics: TIDES. Application to the Lorenz and Rössler models Details Roberto Barrio

18:00-18:30 Discussions and Demonstrations

Day/Date: Thursday, July 8. Theme: Algorithms for PDEs and Fluid Dynamics

09:00-09:30 Coffee

Talks

Time Title Details Speaker
09:30-10:00 Lagrangian Coherent Structures, Hyperbolicity and Lyapunov exponents: A Unified View

Details

George Haller
10:00-10:30 Equivariant PDEs and the freezing method

Details

Wolf-Jürgen Beyn

10:30-11:00 Coffee, Cake, and Discussion

Time Title Details Speaker
11:00-11:30 Secondary flow transitions in a differentially heated rotating channel of fluid

Details

Greg Lewis
11:30-12:00 Localized edge states and homoclinic snaking in plane Couette flow

Details

Tobias Schneider

12:00-14:30 Lunch and Discussions

Time Title Details Speaker
14:30-15:00 A low-dimensional model of separation bubbles

Details

Rouslan Krechetnikov
15:00-15:30 Computation of invariant tori by Newton-Krylov methods in large-scale dissipative systems

Details

Juan Sánchez
15:30-16:00 Coherent structures emerging from turbulence in the nonlocal complex Ginzburg-Landau equation

Details

Robert Hölzel

16:00-16:30 Drinks, Snacks, and Discussion

Demonstration

Time Title Details Demonstrator
16:30-17:00 Using OOMPH-LIB to study bifurcation phenomena in fluid flows

Details

Andrew Hazel

17:00-18:00 Discussions and Demonstrations

Day/Date: Friday, July 9. Theme: Biomedical Applications

09:00-09:30 Coffee

Talks

Time Title Details Speaker
09:30-10:00 New insights into dynamic bifurcation problems with application to neuronal and chemical systems

Details

Steven Baer
10:00-10:30 Correlates between bifurcations and physiological attributes in the cortex: a dynamicist approach

Details

Federico Frascoli

10:30-11:00 Coffee, Cake, and Discussion

Time Title Details Speaker
11:00-11:30 Polyrhythms in dynamical models of multi-functional central pattern generator networks

Details

Andrey Shilnikov
11:30-12:00 Phase resetting biological oscillations - a topological theorem vs. the real world

Details

Leon Glass

12:00-14:30 Lunch and Discussions

Time Title Details Speaker
14:30-15:00 Dynamical models for the cell cycle

Details

 

Willy Govaerts
15:00-15:30 Modelling with Mass-Action Kinetics and Beyond

Details

Markus Kirkilionis
15:30-16:00 Torus canards in a reduced neuron model

Details

Mark Kramer

16:00-16:30 Drinks, Snacks, and Discussion

Demonstration

Time Title Details Demonstrator
16:30-17:00 Numerical continuation of orbit segments Details Bart Oldeman

17:00-18:00 Discussions and Demonstrations

Day/Date: Saturday, July 10. Theme: Industrial Applications and Mechanical Systems

09:00-09:30 Coffee

Talks

Time Title Details Speaker
09:30-10:00 Task embedding -- a paradigm for modular construction of composite continuation problems and an example realization in a multi-point, boundary-value-problem, collocation toolbox for the continuation of sets of constrained orbit segments

Details

Harry Dankowicz
10:00-10:30 Bifurcations with impact and friction; why it is easier to drag chalk than push it

Details

Alan Champneys
10:30-11:00 Dynamics of aircraft as ground vehicles

Details

Bernd Krauskopf

11:00-11:30 Coffee, Cake, and Discussion

Time Title Details Speaker
11:30-12:00 Formation of asteroids: a simple mechanical model for complicated shapes

Details

Gabor Domokos
12:00-12:30 Stable manifolds as thresholds for multipulse excitability

Details

Pablo Aguirre

Demonstration

Time Title Details Demonstrator
12:30-13:00   Details Harry Dankowicz

Acknowledgments

This workshop is supported by the Applied Mathematics Laboratory of the Centre de Recherches Mathématiques (CRM), Montreal, Canada; by the Centre for Applied Mathematics in Bioscience and Medicine (CAMBAM), McGill University, Montreal, Canada; and by the Aid to Research Related Events Programme of the Office of the Vice-President, Research and Graduate Studies of Concordia University.