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ROCKY MOUNTAIN WORKSHOP on
DYNAMICS and BIFURCATION
of
PATTERNS
in
DISSIPATIVE SYSTEMS
19-22
May 2003,
Colorado
State University, Fort Collins, CO
List of Participants | Schedule | Timetable | Talks and Posters | Practical Information | Accommodation | Reimbursment Procedures |
Math Awareness Lecture, 21 May 2003 SYMMETRY IN CHAOS: PATTERNS IN AVERAGE
Martin Golubitsky |
Recent
experimental results have
demonstrated a variety of new patterns that can be observed
in macroscopic systems far from equilibrium. Understanding these
patterns is a major challenge for theoretical research. The
workshop will stimulate the interaction between different
experts, young researchers and advanced graduate students in
identifying key ideas, new advances and open questions in
the mathematical analysis of spatiotemporal patterns in
dissipative systems, including both continuous systems and
coupled cells. Participants from US, UK, Germany, Russia,
Israel, Polland and New Zeeland have expressed their interest and
registered to participate to the workshop.
Main
themes:
- stability,
bifurcation and dynamics of patterns,
- reduction of
the governing equations,
- the role
of symmetry.
Goal
of the workshop:
to
discuss relations between
different approaches such as center manifolds and normal forms,
singular perturbation methods, modulation and phase diffusion
equations, and to stimulate the interaction between experts
in equivariant bifurcation theory, pattern formation and
dynamical systems.
Specific
topics:
bifurcation
of periodic and
quasiperiodic patterns, spiral and target waves, heteroclinic
cycles, phase dynamics and phase turbulence, fronts and
modulated fronts, localized structures (pulses and solitary
waves), bursting, intermittent and chaotic dynamics, symmetry
breaking through discretization and its numerical
implications. Applications will be presented in fluid mechanics,
astrophysics, nonlinear oscillators and other systems.
Partial
financial support is offered
to graduate students and young researchers (post-docs and faculty
with a PhD less than six years old)
Organizers:Gerhard Dangelmayr and
Iuliana Oprea, Department of Mathematics, CSU, Fort Collins, CO
Sponsors:NSF,
CSU, University Park Holiday
Inn, Fort Collins.
Participation by minorities, disabled persons and women is
strongly encouraged. There is no conference fee for
participation.
For more information please contact us at juliana@math.colostate.edu