International Workshop on
MULTI-RATE PROCESSES &HYSTERESIS

MURPHYS  2006

University College Cork, Ireland, April 3 – 8, 2006

The aim of this Workshop is to bring together leading researchers who are willing to learn and share problems and techniques related to the multi-rate modelling and hysteresis in applied problems.


Workshop     Schedule

Monday, April 3, 2006. Room AL8, Áras na Laoi

 

Afternoon

(Chair James Gleeson)

 

Welcome

14:30

 

Alexei Pokrovskii (Ireland)

14:35

Modelling Macroeconomic Flows Related to Large
Ensembles of Elementary Exchange Operations (30’)

 

Dana Mackey (Ireland)

15:10

Optimizing the Design of Bienzyme Biosensors -
a Comparison Between Modelling and Experiment (20’)

 

David Goulding (Ireland)

15:30

(with G. Huyet)

An Excitable Laser (20’)

 

Coffee Break

15:50

 

Grigory Shishkin (Russia)

16:10

(with S. Li, and L. Shishkina)

 

On ε-uniform Methods Approximating Solutions and Derivatives
for Singularly Perturbed Problems (20’)

 

Tom Power (Ireland)

16:30

(with A. Pokrovskii)

A search for an Asymtotic Stability Test (20’)

 

Brian Appelbe (Ireland)

16:50

(with A. Zhezherun)

Experimental Investigation of Multiple Cycles in van der Pol
O
scillator System with Hysteresis in Inductance (20’)

 

Marc Donegan (Ireland)

17:10

Numerical Modelling of Pendulum in Magnetic Field (20’)

 

Small Welcome Party in Western Star

19:30 – 21:30

 


Tuesday, April 4, 2006, Room AL8, Áras na Laoi

 

Morning

(Chair Finbarr Holland)

 

Opening and Welcome

10:00

 

Robert O'Malley (USA)

10:20

Boundary Layer Resonance (40’)

 

Martin Brokate (Germany)

11:05

Hysteresis with State-Dependent Memory (40’)

 

Coffee Break

11:50

 

Gary Friedman (USA)

12:10

(with O. Hovorka)

Numerical Investigation of Hysteretic Processes
in Complex System Models (40’)

 

Michael Mortell (Ireland)

12:55

(with B. Seymour)

Forced Resonant Oscillations of a Sphere of Inhomogenous Gas (30’)

 

Afternoon

(Chair Michael Mortell)

 

Leonid Kalachev (USA)

14:30

Reduction of a Model of Neurotransmitter Transport
 in the Presence of Generic Receptors and Transporters (40’)

 

Jim Grannell (Ireland)

15:15

Multiscale Models in Pharmacology (30’)

 

Coffee Break

15:50

 

João Martins (Portugal)

16:10

(with M. D. P. Monteiro Marques, and A. Petrov)

Some Results on the Stability of Quasi-Static Paths
of Elastic-Plastic Systems with Hardening (40’)

 

Olaf Klein (Germany)

16:55

(with M. Brokate and P. Krejčí)

Pointing Properties for Preisach Operators (20’)

 

Jana Kopfová (Czech Republic)

17:15

(with T. Aiki)

A Hysteresis Model for Bacterial Growth (20’)

 


Wednesday, April 5, 2006, Room AL8, Áras na Laoi

 

Morning

(Chair Gareth Thomas)

 

Dietrich Flockerzi (Germany)

10:00

Origin of Bursting pH Oscillations in
an Enzyme Model Reaction System (40’)

 

Finbarr Holland (Ireland)

10:45

Rate-independent Linear Operators
on Various Function Spaces (30’)

Hugh McNamara (Ireland)

11:20

A Model of Trade Cycle with Hysteresis (20’)

 

Coffee Break

11:45

 

Sergei Sazhin (England)

12:05

Multiple Scales in Spray Modelling (40’)

 

Elena Shchepakina (Russia)

12:50

Maximal Combustion Temperature Estimation (30’)

 

 

Free  Afternoon

 

Conference Dinner in Proby’s Bistro

19:30

 


Thursday, April 6, 2006

 

Morning (Room AL1, Áras na Laoi)

(Chair Jim Grannell)

 

Vladimir Gol’dshtein (Israel)

10:00

Singularly Perturbed Vector Fields (40’)

 

Dmitrii Rachinskii (Ireland)

10:45

(with P. Krejčí, P. O'Kane, A. Pokrovskii)

Hydrological Models with Hysteresis: Some Dynamical Aspects (30’)

 

Eugene O'Riordan (Ireland)

11:20

Solution Decomposition for a
Singularly Perturbed Elliptic Problem (20’)

 

Coffee Break

11:45

 

Marco Storace (Italy)

12:05

(with F. Bizzarri, O. De Feo, and D. Stellardo)

Codimension-2 Bifurcations in a Circuit
Oscillator Based on Hysteresis (40’)

 

Thomas Forget (France)

12:50

Canard Solution near a Degenerated Turning Point (20’)

 

Afternoon (Room AL8, Áras na Laoi)

(Chair Alexei Pokrovskii)

 

 

Pavel Krejčí (Czech Republic)

14:30

Time Scale Doubling and Asymptotic Hysteresis
in a Phase Separation Problem (40’)

 

Vladimir Sobolev (Russia)

15:15

(with C. Gavin)

On the Effect of Apparent Disappearance
in a Model of Phage – Bacteria Interaction (30’)

 

Coffee Break

15:50

 

Rod Cross (Scotland)

16:10

A Threshold Model of Investor Psychology (40’)

 

Oleg Rasskazov (Ireland)

16:55

(with G. Friedman)

Three State Relays (20’)

 

Ben McKay (Ireland)

17:15

Complex Variables and Nonlinear Ordinary Differential Equations (20’)

 


Friday, April 7, 2006, Room AL1, Áras na Laoi

 

Morning

(Chair Michael O'Callaghan)

 

Michael P. Kennedy (Ireland)

10:00

Observations on Injection-Locking in
a Second-Order Oscillator with Cubic Nonlinearity (30’)

 

Eamonn Gaffney (England)

10:35

Modelling Cilia Dynamics in the Lung (30’)

 

Michela Eleuteri (Italy)

11:10

Asymptotic Behaviour of a Neumann
Parabolic Problem with Hysteresis (20’)

 

Petra Kordulova (Czech Republic)

11:30

Asymptotic Behaviour of a Quasilinear
Hyperbolic Equation with Hysteresis (20’)

 

Coffee Break

11:50

 

Andrew Zhezherun (Ireland)

12:10

(with D. Rachinskii and A. Pokrovskii)

Model of van der Pol Oscillator
with Hysteresis in Inductance (20’)

 

Denis Flynn (Ireland)

12:30

On the Integration of an ODE Involving
the Derivative of a Preisach Nonlinearity (20’)

 

Philip O'Kane (Ireland)

12:50

A Place for Hysteresis in Forrester’s "Principles of Systems" (30’)

 

Michael O’Callaghan (Ireland)

13:25

(with C. Clancy and T. Kelly)

Multiscale Problem Arising in a Model of the
Avian Flu Virus in a Seabird Colony (20’)

 

Closing Ceremony

13:45