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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 |
Collected
Lectures volume on "Dynamics and Bifurcation of Patterns in Dissipative
Systems"
to appear in World Scientific Series on Nonlinear Sciences,
Series B, World Scientific Publisher, 2004
Math Awareness Lecture, 21 May 2003 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