Program

Complex dynamics has received considerable attention for years. The analysis of such dynamics were based on works by the french mathematician Henri Poincaré (1854-1912) who introduced the first techniques to investigate periodic as well as aperiodic solutions. Among complex dynamics, chaos has attracted much attention since 70’s. Unpredictable nature of chaotic phenomena, great sensitivity to initial conditions, strange attractors have been highlighted by Edward Lorenz in 1963 while simulating a simplified model of convection. Well-known qualitative methods for studying non linear behaviours and the notion of bifurcation in the phase plane have been largely inspired from the pioneering works of Andronov (first published in 1937). For years, chaotic phenomena has been mainly investigated in order to characterize and classify them. Since the 90’s, considerable developments have been carried out for control and observation of complex dynamics. A huge number of applications have been proposed over the fields of circuits and systems, physics, electronics, optoelectronics, biology, biomedecine, secure communications...

The poster

The major goal of this School is to cover advanced topics on complex dynamics engineering. A particular emphasis will be put on interactions between physics and automatic control. The courses will be framed for graduate students and postdoctoral fellows. An introductory course will be delivered the first day. It will be dedicated to prerequisites on models and relevant automatic control concepts. Then the general schedule will consist of lectures in morning sessions dedicated to a specific topic followed by plenary talks of guest speakers. Laboratories or applications-oriented mini talks will be proposed. The School will end up with emerging topics related to complex dynamics during the final morning session.

The flyer

By the end of the school, participants will have acquired expertise on the (latest) methods and tools from both control theory and nonlinear dynamical systems theory to deal with complex dynamical systems (analysis and synthesis).

This autumn school was recognized by :

• Ecole Doctorale SPMII Sciences Physiques, Mathématiques et de l’Information pour l’Ingénieur (Haute-Normandie)
• Ecole Doctorale IAEM Lorraine Informatique, Automatique, Électronique–Électrotechnique et Mathématiques (Lorraine)
• Ecole Doctorale STIM Sciences et Technologies de l’Information et Mathématiques (Pays de la Loire)

The slides of most of the presentations are available on the abstract page.

Monday - Dynamical Systems

• 14h00 : Leon Chua (EECS Berkeley) Abstract
  Memristor : Past, present and future

• 15h30 : Tea Time

• 16h00 : Laurent Laval (ENSEA, Cergy-Pontoise) Abstract
  Dynamical systems and chaos : Some theoretical preliminaries
  
  

Tuesday - Dynamical systems & Automatic

• 9h : Christophe Letellier (CORIA - Université de Rouen) Abstract
  Route to chaos & Topology of chaos

• 10h30 : Coffee Break

• 11h00 : Ina Taralova (IRCCyN, Nantes) Abstract
  Models and structural properties

• 12h30 : Lunch

• 14h30 : José Amigo (Miguel Hernández University, Spain) Abstract
  Entropy-like concepts and applications

• 15h30 : Christian Mira Abstract
  Non invertible maps and chaos

• 16h30 : Tea Time

• 18h30 : Poster session around a diner buffet
  
  

Wednesday - Delay systems

• 9h : Thomas Erneux (Université Libre de Bruxelles) Abstract
  Delay systems

• 10h30 : Coffee Break

• 11h : Jean-Pierre Richard (LAGIS, Lille) Abstract
  In delay there lies no plenty

• 12h30 : Lunch

• 14h30 : Laurent Larger (FEMTO-ST, Besançon) Abstract
  Nonlinear delay electro-optic oscillator and high efficiency applications for three dynamical regimes : the rest state, the limit cycle, and chaos

• 15h30 : Tea Time

• 16h00 : Leon Glass (McGill University, Québec) Abstract
  Delays in Biology
  
  

Thursday - Hybrid systems & Synchronization

• 9h : Jean-Pierre Barbot (ENSEA, Cergy-Pontoise) Abstract
  Synchronization and left invertibility of Hybrid Dynamical Systems

• 10h30 : Coffee Break

• 11h00 : Gilles Millerioux (ESSTIN - CRAN, Nancy) Abstract
  Synchronization : when control theory enters the scene of cryptography

• 12h30 : Lunch

• 13h30 : Danièle Fournier-Prunaret (LESIA, Toulouse) Abstract
  Numerical method of bifurcation analysis for piecewise-smooth nonlinear dynamical systems

• 14h30 : Ubiratan Freitas (ADIR Association) Abstract
  System identification applied to time series analysis

• 15h15 : Bruno Robert (CresTic, Reims) Abstract
  Analysis of chaotic motion in a linear switched reluctance motor

• 16h15 : Tea Time

• 16h45 : lab with autonomous modules FPGA (Jérémy Parriaux)
  
  

Friday - Future trends

• 9h : Mario Di Bernardo (University of Bristol, UK) Abstract
  Adaptive control, consensus and synchronization of piecewise-smooth systems and networks

• 10h30 : Coffee Break

• 11h00 : Rodophe Sepulchre (Université de Liège, Belgique) Abstract
  Synchronization of pulse-coupled oscillators

Participants were kindly encouraged to present a poster during the poster session scheduled on the second day. This provided an opportunity to browse at the beginning of the school the interests of each of us.

Registration Form

 Organizing comitee

• Jean-Pierre Barbot (ENSEA - ECS)
• Laurent Laval (ENSEA - ECS)
• Christophe Letellier (Université de Rouen - CORIA)
• Gilles Millerioux (CRAN - Université de Lorraine)
• Ina Taralova (IRRCyN)

 Place

The automn school (both lectures and accommodation) took place at
Club Belambra “Les Salines”
37, rue du Croisic
44740 Batz-sur-Mer
Tél : +33(0)2 40 62 62 62

 Financial supports : GdR DYCOEC, ENSEA, CNRS