M lefranc, S. Boccaletti, B. Gluckman, C. Grebogi, J. K¨ Urths, L. Pecora

M. LEFRANC, S. BOCCALETTI, B. GLUCKMAN, C. GREBOGI, J. K¨ URTHS, L. PECORA

Organizers

Image credit: Emmanuelle Gouillart

Book of Abstracts of the 11th Experimental Chaos and Complexity Conference Lille, June 1-4, 2010

Universit ´ e Lille 1 Sciences et Technologies

Cit ´ e Scientifique, Villeneuve d’Ascq, Franc

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The 11th EXPERIMENTAL CHAOS AND COMPLEXITY CONFERENCE Universit ´ e Lille 1 Sciences et Technologies, Villeneuve d’Ascq

June 1-4, 2010

The 11th Experimental Chaos and Complexity Conference is sponsored by the Office of Naval Research,

the Minist ` ere de l’Enseignement Sup ´ erieur et de la Recherche, R ´ egion Nord-Pas de Calais, Campus Intelligence Ambiante, Universit ´ e Lille 1, the Centre National de la Recherche Scientifique, Groupement de Recherche 2984 “Dynamique et Contr ˆ ole des Ensembles Complexes”, H ˆ otel Ascotel Lille M ´ etropole, Osyris S.A., Royal Society Publishing, Springer Complexity, AIP Chaos, John Wiley and Sons, UFR de Physique de Lille 1, F ´ ed ´ eration de Physique et Interfaces Lille Nord de France, Laboratoire de Physique des Lasers, Atomes, Mol ´ ecules (PhLAM),Institut d’ ´ Electronique, Micro-´ Electronique, et Nanotechnologies (IEMN),

Laboratoire de M ´ ecanique de Lille (LML).

Organizing Committee: Marc LEFRANC CNRS & Universit ´ e Lille 1

Stefano BOCCALETTI CNR - Istituto dei Sistemi Complessi, Florence & the Italian Embassy in Tel Aviv Bruce GLUCKMAN Penn State University Celso GREBOGI University of Aberdeen, UK J ¨ urgen KURTHS Humboldt University Berlin & Potsdam Institute for Climate Impact Research, Germany Louis M. PECORA Naval Research Laboratory, USA

Local Organizing Committee: Serge BIELAWSKI Universit ´ e Lille 1, PhLAM

Philippe BRUNET CNRS & Universit ´ e Lille 1, IEMN Daniel HENNEQUIN CNRS & Universit ´ e Lille 1, PhLAM Jean-Philippe LAVAL CNRS & Universit ´ e Lille 1, LML Marc LEFRANC CNRS & Universit ´ e Lille 1, PhLAM Eric LOUVERGNEAUX Universit ´ e Lille 1, PhLAM St ´ ephane RANDOUX Universit ´ e Lille 1, PhLAM Pierre SURET Universit ´ e Lille 1, PhLAM Christophe SZWAJ Universit ´ e Lille 1, PhLAM Quentin THOMMEN Universit ´ e Lille 1, PhLAM Hassina ZEGHLACHE Universit ´ e Lille 1, PhLAM

V ´ eronique ZEHNL ´ E Universit ´ e Lille 1, PhLA

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Invited Speakers

Henry D.I. ABARBANEL Department of Physics and Marine Physical Laboratory (Scripps Institution of Oceanography), University of California, San Diego, La Jolla, CA 92037 (USA)

Steven M. ANLAGE Center for nanophysics and advanced materials, University of Maryland Arezki BOUDAOUD Laboratoire de Physique Statistique, ENS Paris, France & Reproduction et

D ´ eveloppement des Plantes, ENS Lyon, France Syamal Kumar DANA Central Instrumentation, Indian Institute of Chemical Biology, Kolkata, In-

dia Franc¸ois DAVIAUD Service de Physique de l’´ Etat Condens ´ e, Commissariat ` a l’´ Energie Atom-

ique, Saclay, France Flavio FENTON Department of Biomedical Sciences, Cornell University Petra FRIEDERICHS Meteorogical Institute, Universit ¨ at Bonn, Germany Jean-Claude GARREAU Laboratoire de Physique des Lasers, Atomes, Mol ´ ecules, Universit ´ e Lille 1

- Sciences et Technologies, France Emmanuelle GOUILLART Joint Unit CNRS/Saint-Gobain, Saint-Gobain Recherche, France Jeff HASTY Departments of Molecular Biology and Bioengineering University of Cali-

fornia, San Diego Shlomo HAVLIN Department of Physics, Bar Ilan University, Israel Holger KANTZ Research group Nonlinear Dynamics and Time Series Analysis, Max

Planck Institut for the Physics of Complex Systems, Dresden, Germany Rassul KARABALIN Kavli Nanoscience Institute and Department of Physics, California Institute

of Technology, Pasadena, CA, USA Robert KUSZELEWICZ Laboratoire de Photonique et de Nanostructures, CNRS UPR20, Marcous-

sis, France Christophe LETELLIER Complexe de Recherche Interprofessionnal en A ´ erothermochimie (CO-

RIA), Universit ´ e de Rouen, France Theoden NETOFF Biomedical Engineering, University of Minnesota, Minneapolis Adam PERKINS Center for Nonlinear Dynamics and School of Physics Georgia Institute of

Technology Atlanta, Georgia, USA M. Carmen ROMANO Institute for Complex Systems and Mathematical Biology & Institute of

Medical Sciences, University of Aberdeen, United Kingdom Michael ROSENBLUH Department of Physics and The Jack and Pearl Resnick Institute for Ad-

vanced Technology, Bar-Ilan University, Ramat-Gan, Israel 52900 Otto E. R¨ OSSLER Universit ¨ at T ¨ ubingen, Germany

Nick TUFILLARO Department of Biological and Ecological Engineering, Oregon State University, Corvallis, Oregon

Tam ` as VICSEK Department of Biological Physics, E ¨ otv ¨ os Lor ´ and University, Hungar

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Schedule at a glance

Wednesday Thursday FridayTuesday

08:45 Havlin 08:45 Gouillart 08:45 Fenton

Conference opening09:00 09:15 Tufillaro 09:15 Steur 09:15 Amon 09:15 Hirata

09:35 Vicsek 09:35 Yoshikawa 09:35 Netoff

09:45 Gauthier

09:55 Brunet

10:05 Dana 10:05 Zochowski 10:05 Leyva

Coffee break10:15 10:25 10:2

510:55 10:55 Cebron 10:55 Kantz

Coffee break

11:15 Magar 11:15 Lebyodkin

11:25 Letellier 11:25 Louvergneaux

11:35 Dorbolo 11:35 Thomas

11:45 Friederichs

11:55 Rachford 11:55 Walker 11:55 Mordant

12:15 12:15 12:15 12:1

514:00 Abarbanel 14:00 Small 14:00 Hasty 14:00 Letellier

14:20 Sommerlade 14:20 Rössler

14:30 Sarvestani 14:30 Pfeuty

14:40 Pastur

14:50 Schatz 14:50 Romano

15:00 Schreiber 15:00

15:20 Ravoori 15:20 Cross 15:20 Sendina Nadal

15:40 15:40 Schmitt 15:40 Thiel

Coffee break

16:00 16:00 16:10 Daviau

d17:00 Plihon 17:00 Karabalin 17:00 Kuszelewicz

17:20 17:30 Mauger 17:30 Haudi

nPoster sessionPoster session

16:40 Lope

zLunchLunchLunchLunch

Coffee break10:35 Senthilkumar

10:45 BoudaoudCoffee brea

k18:30Reception at Lille town hall20:3017:50 Garreau 17:50 Rosenbluh

18:20 Dana 18:20 Larger

18:40 Anlage 18:40 Mikikian

19:00 19:10

Conference BanquetDynamicals NetworksMaterialsGeophysics & Granular Data Analysis 2Quantum & Nano SystemsDynamics in Systems BiologyElasticity & PlasticityOptical SystemsCardiac & Neuronal DynamicsElectronic CircuitsExtreme EventsData Analysis 1Dynamics in Systems BiologyDynamosFluid DynamicsClosing sessio

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Tuesday, June 1

09:00 CONFERENCE OPENING 09:15 ELECTRONIC CIRCUITS

09:15 Nick TUFILLARO Nonlinear network analysis of electronic systems: theory and practice

09:45 Daniel Gauthier Observation of chaos in small networks of Boolean-like logic circuits

10:05 Syamal Kumar DANA Design of coupling for targeting synchronization in chaotic electronic circuits

10:35 Dharmapuri V. Senthilkumar Synchronization transitions in coupled time-delay electronic circuits

10:55 COFFEE BREAK 11:25 DATA ANALYSIS 1

11:25 Christophe LETELLIER How and why the analysis of a dynamics can depend on the choice of the observable

11:55 Frederic Rachford Acoustic target identification with chaos based waveforms

12:15 LUNCH 14:00 DATA ANALYSIS AND SYSTEM CONTROL

14:00 Henry D.I. ABARBANEL Using experimental data to estimate the states of models of neural circuits

14:30 Madineh Sarvestani Non-linear Kalman filtering techniques for estimation and prediction of rat sleep dynamics

14:50 Adam PERKINS Forecasting and pattern control in Rayleigh-Benard convection 15:20 Bhargava Ravoori Adaptive synchronization of a network of chaotic oscillators

15:40 COFFEE BREAK 16:10 DYNAMOS

16:10 Franc¸ois DAVIAUD VKS experiment: a chaotic turbulent dynamo? 16:40 Miguel Lopez Kinematic dynamo threshold in time dependent velocity fields 17:00 Nicolas PLIHON Large scale fluctuations and dynamics of the Bullard - von Kar-

man dynamo

18:30 WELCOME RECEPTION, TOWN HALL OF LILL

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Wednesday, June 2

08:45 DYNAMICAL NETWORKS

08:45 Shlomo HAVLIN How does El-Nino influence the dynamics of climate network in their basin, and around the globe?

09:15 Erik Steur Synchronization of time-delayed diffusively coupled systems: an experimental case study with Hindmarsh-Rose oscillators

09:35 Tam ` as VICSEK Network dynamics in collective motion 10:05 Michal Zochowski Dynamics and augmentation patterns in adaptive networks

10:25 COFFEE BREAK 10:55 GEOPHYSICS AND GRANULAR MATERIALS

10:55 David Cebron Tidal instability in exoplanetary systems 11:15 Vanesa Magar Spectral analysis of interannual bed level variations at a beach in

Duck, North Carolina, USA 11:35 St ´ ephane Dorbolo Bouncing trimer, bouncing droplet: bouncing modes 11:55 David Walker Transition dynamics of structural motifs in a granular contact

network

12:15 LUNCH 14:00 DATA ANALYSIS 2

14:00 Michael Small Characterising time series dynamics with complex networks 14:20 Linda Sommerlade Consequences of violated simultaneity on the concept of causal-

ity 14:40 Luc Pastur Reduction of the complexity of an open cavity air-flow by catch-

ing the spatial flow organization within a few dynamical modes 15:00 Igor Schreiber Time series analysis of an pH oscillatory chemical reaction 15:20 Daniel Cross Biological algorithm for data reconstruction 15:40 Francois Schmitt Arbitrary order Hilbert spectral analysis : a new tool to analyze

the scaling complexity of time series, application to turbulence data

16:00 POSTER SESSION 17:00 QUANTUM AND NANO SYSTEMS

17:00 Rassul KARABALIN Advances with nonlinear nanoelectromechanical systems (NEMS)

17:30 Franc¸ois Mauger Strong field double ionization: insights from nonlinear dynamics 17:50 Jean-Claude GARREAU Quantum simulators: studying the Anderson model with a

quantum-chaotic system 18:20 Itzhack Dana Quantum-resonance ratchets: experimental realizations and pre-

diction of stronger effects 18:40 Steven M. ANLAGE Wave/Quantum Chaos: universal properties and practical appli-

cations

20:00 BANQUET, GREAT HALL OF CHAMBER OF COMMERC

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Thursday, June 3

08:45 FLUID DYNAMICS

08:45 Emmanuelle GOUILLART Topological entanglement and transport barriers in the chaotic mixing of fluids

09:15 Axelle Amon Droplet traffic at a junction: dynamics of path selection 09:35 Harunori Yoshikawa Pattern formation of buble periodically emerging at a liquid free

surface 09:55 Philippe Brunet Complex flows inside drops under acoustical and mechanical vi-

brations

10:15 COFFEE BREAK 10:45 ELASTICITY AND PLASTICITY

10:45 Arezki BOUDAOUD Chaos and turbulence in vibrating plates 11:15 Mikhail Lebyodkin Experimental study of dislocation avalanches during unstable

plastic deformation 11:35 Olivier Thomas Modal interactions in thin structures: some experiments on non-

linear vibrations of spherical shells and percussion musical instruments

11:55 Nicolas Mordant Is the wave turbulence observed in elastic plates related to ”weak turbulence”?

12:15 LUNCH 14:00 DYNAMICS IN SYSTEMS BIOLOGY

14:00 Jeff HASTY Engineered genetic oscillations 14:30 Benjamin Pfeuty Robustness of circadian clocks to daylight fluctuations: hints

from an unicellular alga 14:50 M. Carmen ROMANO Dynamics of translation: modelling the synthesis of proteins 15:20 Irene Sendi ˜ na-Nadal Dynamical overlap of protein interaction networks: a method to

predict protein functions 15:40 Marco Thiel Dynamics of the interactions between the cell cycle and stress

responses in yeasts

16:00 POSTER SESSION 17:00 OPTICAL SYSTEMS AND PLASMAS

17:00 Robert KUSZELEWICZ Steady and pulsed laser cavity solitons in semiconductor microcavities

17:30 Florence Haudin Front dynamics in periodic modulated media 17:50 Michael ROSENBLUH Generating truly random bits at high rates with chaotic lasers 18:20 Laurent Larger Temporally nonlocal electro-optic phase dynamics for 10 Gb/s

chaos communications 18:40 Maxime Mikikian Nonlinear dusty plasma instabilitie

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Friday, June 4

08:45 CARDIAC AND NEURONAL DYNAMICS

08:45 Flavio FENTON From bifurcations and spiral waves to chaos: The many dynamics of cardiac tissue

09:15 Yoshito Hirata Chaos may facilitate decision making in the brain 09:35 Theoden NETOFF How do antiepileptic drugs and epileptogenic mutations change

cell and network dynamics? 10:05 Inmaculada Leyva Complex networks in the evaluation of brain injury therapy

10:25 COFFEE BREAK 10:55 EXTREME EVENTS

10:55 Holger KANTZ Predictability and prediction of extreme events 11:25 Eric Louvergneaux Rare and extreme events in temporal and spatial optical systems 11:45 Petra FRIEDERICHS Extreme weather and probabilistic forecast approaches

12:15 LUNCH 14:00 IN HONOR OF OTTO ROSSLER’S 70TH BIRTHDAY

14:00 Christophe Letellier Otto R ¨ ossler 1975-76 14:15 Otto E. R¨ OSSLER Time’s arrow and Hubble’s law from the reduced three-body

problem with/without sign fli

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Contents

Part I

Invited and contributed oral presentation

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Nonlinear network analysis of electronic systems: theory and practice

Nick TUFILLARO

Department of Biological and Ecological Engineering, Oregon State University, Corvallis, Oregon

(Linear, Electrical) Network analysis is, in its essence, a frequency domain stimulus-response testing procedure which uncovers a (linear) model for an electronic device [1]. The model — the so called ’Transfer Function’ — is built directly on experimental measurements, and systems that perform these measurements in a routine manner are called ’Network analyzers’. They are an essential tool used for the design and test of electronic components and systems.

Digital communications protocols, at the heart of the explosion in wireless communications, have forced engineers to move beyond linear network analysis to nonlinear electronic test, characterization, and modeling — and tackle issues arising from high frequency nonlinear stimulus-response measurements. Further, the measurement results must be captured in a compact model which can be integrated into electronic circuit simulators. In the theory part this talk I explain how mixed frequency/time domain extensions of embedding theory provides a theoretical framework for nonlinear measurement and modeling [2,3,4].

After a decades worth of research and development, nonlinear network analysis is now available for the engineering mainstream that make use of new electronic instruments such as Agilent’s Nonlinear Vector Network Analyzer (NVNA), which is capable of characterizing nonlinear components from 9 Khz to 50 Ghz, and automatically creating a nonlinear model that runs efficiently in electronic circuit simulators [4]. In the practice part of the talk I describe the how the NVNA experimentally captures and encapsulates the nonlinear performance of an electronic device in and how this is helping engineers build better and cheaper devices like cell phones [5].

[1]. N. Tufillaro, A dynamical systems approach to behavioral modeling, (HP Technical Report, HPL-1999-22). [2]. D. Walker, N. Tufillaro, and P. Gross, Radial basis models for feedback systems with fading memory, IEEE

Transactions on Circuits and Systems I, vol. 48 no. 9 pages 1147-1151, September 2001 [3]. J. Wood, D. Root, and N. Tufillaro, A behavioral modeling approach to nonlinear model-order reduction

for RF/Microwave ICs and Systems, IEEE Transactions on Microwave Theory and Techniques, Vol. 52, No. 9, September 2004, 2274-2284

[4]. D. Root, N. Tufillaro, J. Wood, and J. Verspecht, Method for generating a circuit model, United States Patent 7,295,961, (2007).

[5]. J. Horn, D. Gunyan, L. Betts, C. Gillease, J. Verspecht, and D. Root, Measurement-based large-signal simulation of active components from automated nonlinear vector network analyzer data, Microwaves, Communications, Antennas and Electronics Systems, 2008. COMCAS 2008 IEEE Conf. (2008).

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Observation of chaos in small networks of Boolean-like logic circuits

Daniel Gauthier1, Hugo Cavalcante1, Seth Cohen1, Rui Zhang1, Zheng Gao1, Joshua Socolar21, & Daniel Lathro

p1

2Duke University, Department of Physics, Center for Nonlinear and Complex Systems, Durham, North Carolina 27708, USA

4University of Maryland, Department of Physics, College Park, Maryland 20742, USA [e-mail]

’Boolean chaos’ is observed in a simple network of electronic logic gates that are not regulated by a clocking signal [1]. We study a network three nodes realized with commercially available high-speed electronic logic gates. The temporal evolution of the voltage at any given point in the circuit has a nonrepeating pattern with clear binary state transitions and displays exponential sensitivity to initial conditions. The resulting power spectrum is ultrawide band, extending from dc to beyond 2 GHz. Because the circuit includes feedback loops with incommensurate time delays, it spontaneously produces dynamical states with the shortest possible pulse widths, a regime in which time-delay variations generate chaos. The observed behavior is reproduced qualitatively in an autonomous Boolean model with signal propagation times that depend on the histories of the gates and filtering of pulses of short duration [2]. Our device may be used as a building block in secure spread-spectrum communication systems, an inexpensive ultrawide-band sensor or beacon, and possibly for high-speed random number generation. It can also be used as a convenient platform for testing theories on complex networks. Efforts are underway to investigate chaos synchronization and private communication using these devices, including a parametric study on the sensitivity of the synchronization quality on network delays.

[1] R. Zhang, H.L.D. de S. Cavalcante, Z. Gao, D.J. Gauthier, J.E.S. Socolar, M.M. Adams, and D.P. Lathrop, ’Boolean chaos,’ Phys. Rev. E. 80, 045202(R) (2009).

[2] H. L. D. de S. Cavalcante, D. J. Gauthier, J. E. S. Socolar, and R. Zhang, ’On the Origin of Chaos in Autonomous Boolean Networks,’ Philos. Trans. Royal Soc. A 368, 495 (2010)

.

Design of coupling for targeting synchronization in chaotic electronic circuits

Syamal Kumar DANA

Central Instrumentation, Indian Institute of Chemical Biology, Kolkata, India

Engineering synchronization in coupled chaotic systems is addressed in this report. Different synchronization states, namely, complete synchronization (CS), antisynchronization (AS), arbitrary lag synchronization (ALS) and amplitude death (AD), and also mixed synchronization (MS) is targeted by appropriate design of coupling in two or more oscillators. The design of coupling is based on two different methods, (1) open-plus-closed-loop (OPCL) based on Hurwitz stability, (2) Lyapunov function stability based coupling. Given a model chaotic system, one can always design an appropriate coupling function, using the proposed methods, to target any desired synchronization state. We explored the methods for both master-slave and mutual mode of coupling. We compare the two methods on the basis of their local and global stability and, their applicability. We provide experimental evidences with electronic circuit design of all the proposed coupling.

1. I.Grosu, E.Padmanaban, P.K.Roy, S.K.Dana, Designing coupling for synchronization and amplification of chaos, Phys.Rev.Lett. 100, 234102 (2008).

2. I.Grosu, R.Banerjee, P.K.Roy, S.K.Dana, Designing coupling for synchronization of chaotic oscillators, Phys.Rev. E80, 016212 (2009).

3. E.Padmanaban, S.K.Dana, Design of coupling for targeting synchronization in chaotic circuits: Global stability (to be reported).

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Synchronization transitions in coupled time-delay electronic circuits

D V Senthilkumar1;4, K Srinivasan2, K Murali3, M Lakshmanan2, & J Kurths1;

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5Potsdam Institute for Climate Impact Research, 14412 Potsdam, Germany

Centre for Nonlinear Dynamics, Department of Physics, Bharathidasan University, Tiruchirapalli - 620 024, India