please post:
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London Dynamical Systems Group
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LDSG annual London Dynamical Systems Workshop 2010
http://www.ma.ic.ac.uk/DynamIC/LDSG2010
Thursday 29 April 2010
Department of Mathematics, Imperial College London
Huxley Building, 180 Queens Gate, London SW7 2AZ
(All talks will be in room 140, level 1 [basement])
Program:
09:30-10:15 Rod Halburd (University College)
Arithmetic, analysis and integrability
10:15-11:00 Dmitry Turaev (Imperial College)
Abundance of weak attractors with all zero Lyapunov exponents
11:00-11:30 coffee break
11:30-12:15 Sergey Zelik (Surrey)
Soliton interaction and space-time chaos in a driven Ginzburg-Landau equation
12:15-13:00 Franco Vivaldi (Queen Mary)
Order vs. chaos when the space is discrete
13:00-14:00 lunch break
14:00-14:30 Oleg Makarenkov (Imperial College)
Bifurcation of asymptotically stable periodic solutions in impact systems
14:30-15:00 David Sinden (University College)
Integrability, localisation and bifurcation of an elastic
conducting rod in a magnetic field
15:00-16:00 tea-break with phd posters
Neil Bristow (Surrey): Alternating period-doubling cascades
Jeremy Chamard (Surrey): Locating saddle-type solutions of quasi-linear
problems using the string method
Jonith Fischmann (QMUL): Eigenvalues of real and complex random matrices
Timothy Grant (Surrey): Preservation of conservation laws with finite differences for KdV
Christopher Knight (Surrey): Changes in stability of stationary fronts in wave equations
with an inhomogeneous nonlinearity
Georgie Knight (QMUL): Chaotic diffusion in dynamical systems
Kristian Kristiansen (Surrey): Almost invariance of a slow manifold with bifurcation
in a two degree of freedom Hamiltonian system
Friedrich Lenz (QMUL): Velocity distributions of foraging bumblebees
Chris Warner (Imperial): Unbounded energy growth in Hamiltonian systems under small
perturbations with chaotic potentials
16:00-16:30 Dalia Terhesiu (Surrey)
Asymptotics of the transfer operator in the infinite case
16:30-17:00 Eric van der Straeten (Queen Mary)
Superstatistics: past, present and future
PhD students are invited to present their research projects
and/or results in the form of a poster, that the attendants can
consult during the one-hour afternoon tea-break. We would
like to ask all students that intend to present a poster, to inform
Martin Rasmussen (m.rasmussen@imperial.ac.uk).
For updates of the program, inclusive posters, please see
http://www.ma.ic.ac.uk/DynamIC/LDSG2010
Local organizers:
Jeroen Lamb (j.lamb@imperial.ac.uk)
Martin Rasmussen (m.rasmussen@imperial.ac.uk)
Abstracts:
SPEAKER: Franco Vivaldi
TITLE: Order vs. chaos when the space is discrete
ABSTRACT: In dynamical systems with discrete space, the distinction between regular
and irregular motions must be re-considered. I articulate the main questions, and
summarize some recent research.
SPEAKER: Erik Van der Straeten
TITLE: Superstatistics: past, present and future
ABSTRACT: The crucial assumption of superstatistics is the existence of a parameter
$\beta$ that fluctuates on a large time scale as compared to the other time scales
of a system under consideration. This parameter $\beta$ is usually interpreted as an
inverse temperature. This means that the system under consideration is a non-equilibrium
system from a thermodynamic point of view. As the title suggests, this talk consists of
three parts. In the first part, I will outline the general ideas of superstatistics. In
the second part, I will briefly discuss the superstatistical analysis of real time series.
In the third part, I will share with the audience what I think is the next challenge in
superstatistical model building.
SPEAKER: David Sinden
TITLE: Integrability, localisation and bifurcation of an elastic conducting rod in a magnetic field
ABSTRACT: Motivated by the problem of electrodynamic space tethers we consider the equilibrium
equations for a elastic conducting rod in a magnetic field. In body coordinates the equations
are found to sit in a family of noncanonical Hamiltonian systems. These systems, which include
the classical Euler and Kirchhoff rods, are shown to be completely integrable under certain
material conditions. Melnikov's method is then used to show that under two integrable perturbations
can in fact destroy the integrable structure, resulting in multimodal rod configurations. Such
solutions are investigated numerically revealing a rich bifurcation structure: a codimension-two
point defining a double Hamiltonian-Hopf bifurcation acts as an organising centre.
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LDSG is a collaboration between the dynamical systems groups
at Imperial College London, Queen Mary University of London,
University College London and the University of Surrey. Its meetings
are financially supported by the London Mathematical Society (LMS).
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