A model for the Chaotic Oscillations of Congenital Nystagmus

Nonlinear

Dynamics

of Electronic

Systems

NDES

2004

Centra de Geofisica

de

_Evora,

Universidade

de

_Evora,

Portugal,

May

9-13,

2004

Edited

_by:

Jason A.

C.

Gallas

Mourad

_Bezzeghoud

Pedro

G.

Lind

Joao

Corte

Real

Published

by

Centra de

Geofisica

de

£vora

Universidade

de Evora

Largo

dos

Colegiais

2, 7000-803,

Portugal

UB/TIB Hannover 89 119 837 986

Contents

IInvited

_Speakers

1

Synchronizationand_{patternrecognition}in

_{pulse-coupled}

neuralnetworks,

Hermann Haken 3

Pattern_{formation of}dunes,

Hans Jurgen Herrmann 9

Synchronization analysis ofcouplednoncoherentoscillators,

JURGENKURTHS,MamenRomano,MarcoThiel 17 Network_dynamics:tools andexamples,

RuiVilelaMendes 22

Idealturbulence,

Alexander Sharkosvsky 34

Economic_fluctuationsandstatistical_{physics: thepuzzle of large fluctuations,} HARRY EUGENESTANLEY, XavierGababc,Parameswaran

Gopikrishnan,

and Vasiliki Plerou 42

II Contributed

_Papers

53

Nonparametric

embedding of dynamicalsystems,

M. Abel and K. Ahnert 55

Nonlinearforecasting of earthquakes:adecadeofresultsandfuture work,

E. Ivo Alves 59

Innovation systemsbynonlinearnetworks,

P.Andriani,F.Conti,L.Fortuna,M.Frasca,G.Passiante,and A. Rizzo 63 Autocorrelationfunctionand powerspectrumofspiralchaosin

dynamical systems,

V.S.Anishchenko,T.E.Vadivasova,G.I.Strelkova,and G.A.Okrokvertskhov 67 A MOS circuit_fortheLotka- Volterra chaotic oscillator,

Tetsuya Asai,YusukeKanazawa, Masayuki Dcebe,andYoshihitoAmemiya 71 Chaotic third-order

_log-domain

filter,

AlonAscoli,Orla

_Feely,

and Paul Curran 75

AGeneralized modulationlaw_{for generating}constant-envelope spread-spectrum signalsvia_frequencymodulation,

MicheleBalestra,Stefano

_Santi,

Riccardo Rovatti andGianlucaSetti 79

Anewphenomenon: parametricchaos,

A.L.Baranovskiand A.J. Lawrance 83

Synchronization

of chaoticcolpitts oscillators with parametermismatch,

AntanasBaziliauskas,RomanasKrivickas,and ArunasTamasevicius 87 Oscilattionsinthe_first-orderrecursive_digital

filters

withmagnitude truncation,

Yuriy

Bryuhanov

91

Clusteringandnonlinear_{forecast for}electronic devicesmarketdemand,

M.Bucolo,F._Caizzone,L.Fortuna, and G.Tomarchio 95 Hardwareprototypeofthetwo-stagechaotic _Colpitts oscillatorforthe UHF range, S.Bumeliene,A. Tamasevicius, G.Mykolaitis,A.Baziliauskas,andE.

_Lindberg

99

Comparison

betweenPerturbation andVolterramethods,

Antonio Buonomoand A.Lo Schiavo 103 Bifurcationanalysisandchaotic behaviorin boost converters:

experimental

results,

Donato

_Cafagna

and

_Giuseppe

Grassi 107

Generation ofchaotic beatsinamodifiedChuacircuit-Part I:dynamicbehaviour,

Donato_Ca"fagnaand

_Giuseppe

Grassi 111 Generationof chaotic beats ina modifiedChuacircuit-Part U:Circuitdesign,

DonatoCafagnaand

_Giuseppe

Grassi 115

Electromagnetic synchronization ofslip,

T. Chelidze,T.Matcharashvili,and 0.Lursmanashvili 119

Analysis of weighttimeseries of_patientswith_{eating disorders,}

F. Cuadros and M.I. Parra 122

Homoclinic chaos incoupledChua'soscillator,

S.K. Dana, S.Chakraborty,and G.Ananthakrishna 126

Entropy-based

independencetest,

AndreiaDionisio,Rui Menezes, and DianaA. Mendes 130

Syntesis of

single-transistorchaoticoscillators,

Alexander S._Dmitriev,Elena V.Efremova,andAlexander D.

Khilinsky

133

Amplitudemodulation anddemodulationof chaoticcarriers,

Alexander S.Dmitriev,Lev V.Kuzmin,andAntonM. Laktushkin 138

Bifurcationassociated withthe Fitzhugh-NagumoSystems,

Jorge

Duarte,Luis_Silva,and J. SousaRamos 142

Application ofState-SpaceTransformationsto the Noise

_Analysis

ofOscillators,

Thomas Falk and

Wolfgang

Schwarz 146 Conductance:_fromelectrical networks,through graphs,todynamicalsystems,

SaraFernandes and JoseSousa Ramos 150

Effects

_{o/sequence-dependent}

elastic_propertiesintandemly repeated DNA,

Alexandre F. da_Fonseca,C.P._Malta,and M.A.M. de

_Aguiar

154

A chaotic circuitwithferroelectric nonlinearity,

Luigi

Fortuna,MattiaFrasca,Salvatore

Graziani,

and Salvatore Reddiconto 158

Spatio-temporal dynamicstowardsself-synchronizationindex,

Luigi

Fortuna,M.La_Rosa,D.Nicolosi,and G. Sicurella 162

Storingbinary patterns in two-dimensional networksofnonlinear systems,

ZbigniewGalias and_{Maciej Ogorzalek} 166

The_{first eigenvalue of}the

_Laplacian

and the_{ground flow of}acompact surface,

Clara Gracioand J. Sousa Ramos 170 Circuitmodel

_of

theatmosphericresponsefunction,

L.Hevesi,I.M.Janosi,A.

Kiraly

174

Emergentoscillations inasystemof couplednonlinear elementswith

broken_symmetry,

V._In,A._Kho,A.R._Bulsara,J.

_Neff,

B.Meadows,A.Palacios,P.Longhini,

B._Ando,and S.

_Baglio

178

Study ofelectronic master-slave MFHN neurons,

Sabir_{Jacquir, S.Binczak, J.M.Bilbault, V.B.Kasantsev,} andV.I.Nekorkin 182

Applicationofnonlineardynamical systemstoimage encryption,

KristinaKelber 186

Nonlinear_{dynamics of}cochlear_{information processing,}

A. Kernand R._Stoop 190

Synchronized firing of

Fitzhugh-Nagumo

neuronsby noise,

H._Kitajimaand T. Hattori 194 A_simplechaoticcircuit with_impulsiveswitch_dependingontime and state,

YoshifumiKobayashi,Hidehiro Nakano, and TosMmichi Saito 198

Abelian

_Differential

Equations DefineChaosGenerator,

TohruKohdaandAyaKatoh

202

Numerical_experimentswith_groundonAEDtheory: Investigation ofEnergetic

Processes in DisorderedSystems,

AliakseiKonash,Paval Bukaand_Sergej

_Bagnich

206 Rich_{synchronization ofsimple spiking oscillators,}

YoshioKon'no, Toshimichi_Saito,and

_Hiroyuki

Torikai 210

Cascadedreturn map modelsa_{nonperiodically}clockedCPM boost converter,

Joerg

Kruparand_"WolfgangSchwarz 214 Non-authorized accesstothe chaoticcommunicationchannel basedonthe

partial

approachto the inverseproblemofnon-lineardynamics,

V.N. Kuleshov and M.V.Tomashevskaya 219

Two-stage impulsive controlforthesynchronization ofchaoticsystems,

K._Li,Y.C._Soh,and Z.G. Li 223

On the Mechanisms behindChaos,

Erik_Lindberg 227

Generalmechanismforsuppression

ofhomoclinic

chaos,

Alexander Loskutov and ArsenJanoev 231 On the existenceofperiodicsolutionstothe

_equation

ofa_forcednonlinear oscillator,

OlegMakarenkov 235

Synchronizability

ofpower-law

andfractally

coupled

dynamical

networks,

Mate Marodi 238

Excitation-reshaping-induced

chaoticescapefromapotential well,

J.A.Martfnezand R.Chacon 242

Coupled

piecewise

linear maps:fromcoherenceto_clustering,

IrynaMatskiv and Yuri Maistrenko 246

Co-movements andthresholdadjustment forthePortugueseandU.S. stock marketvolatility,

Rui MenezesandNuno B.Ferreira 250

Performancesofunknown inputobservers_forchaoticLPVmaps

inastochasticcontext,

Gilles Millerioux and JamalDaafouz 255

Quantitativemethods_forthe characterizationof complex surfacestructures,

Alejandro

Moraand Maria Haase 259

Imageprocessingwithacellularnonlinear network,

S._Morfu,P.

_Marqui,

and J.M.Bilbault 263 Schemesof_{Polynomial Equations}that CharacterizetheVariationalBehaviour,

F.L.Neerhoff andP.vander Kloet 267

Identification of BifurcationParameters in Boost PFCCircuit,

MohamedOrabiandTamotsuNinomiya 271

Onthe start-upbehavior_{of singularly perturbed}harmonic oscillators,

Marcus Prochaska andWolfgangMathis 276

Reconstruction_ofdrivenandcoupled time-delaysystemsfromtime series,

M.D.Prokhorov,A.S. Karavaev, and V.I. Ponomarenko 280

Conductance andnoncommutativedynamical systems,

Carlos Correia Ramos, NunoMartins,and Jose Sousa Ramos 284

Antiphasetoin-phase synchronizationin_coupledChua'soscillators,

P.K.

_Roy

and S.K.Dana 288

Limit_cyclesinautonomoustwo-dimensional_firstorder recursive_digital

filters

with nonlinear adderwithout_{quantization,}

D.V.

_Rudykh,

M.V._Lebedev,and A.L. Priorov 292

Complex Dynamicsofa_{Two-cavity Klystron}Oscillator withDelayed Feedback,

N.M._Ryskinand A.M._Shigaev 296 D/Aconverters anditeratedfunctionsystems,

Toshimichi_{Saito, Junya}Shimakawa, andHiroyukiTorikai 300 Thetime-seriesmodellingand circuitimplementation

from time-frequencydomainspecifications,

F. Acar Savaci andNalan Ozkurt 304

CollapseandCoexistence ofDuck Solution inaCircuitDrivenbyan

ExtremelySmall PeriodicForce,

Munebisa_Sekikawa,Naohiko_{Inaba, Tetsuya}

Yoshinaga,

and Hiroshi Kawakami 308

Topologicalinvariantsin amodel_ofa

time-delayed

Chua'scircuit,

R. _Severino, A. _Sharkovsky,J. SousaRamosand S.

_Vinagre

312

F}actal analysis ofX-raychestimages,

Maciej

H.

_Slomczynski

and Bozena Swidzinska 316

Sympatric specificationinan

age-structured

population livingonalattice,

Adriano 0. Sousa 320

Complexitymeasures_fornonlinear electronic_systems:

CommentontheShiner-Davison-Landsbergmeasure,

R._Stoop,N._Stoop,A._Kern,and W: H. Steeb 324

VHF and UHF chaoticColpittsoscillators,

A.Tamasevicius,G.

_Mykolaitis,

S.Bumeliene,R._Krivickas,andE._Lindberg 328

Variability ofinterburstintervalsin2D_{slow-fastmapsfor}neural responses,

GouheiTanaka and

_Kazuyuki

Aihara 332

Controllingthechaotic_colpittsoscillator_{by altering}itsoscillation energy,

V.Tereshko,R._Chacdn,andJ.Carballar 336

Spuriousstructures inrecurrenceplotsinducedby embedding,

M._Thiel,M.C.Romano, and J. Kurths 340 Fractalpropertiesof chaotic

_dynamical

systemsin reversetime and its

application fordataencryption,

A.I.Tomashevskiyand M.V._Kapranov 344

Bifurcationincurrent_coupledBVPoscillators,

Shigeki

Tsuji,Tetsushi_Ueta,and Hiroshi Kawakami 348

An_{Aspect of}OscillatoryConditions in Linear_Systemsand_{HopfBifurcations}

inNonlinearSystems,

Tetsushi Uetaand H. Kawakami 352

FloquetNumbers andDynamic Eigenvalues,

P.vander Kloet and F.L. Neerhoff 356

Synchronizationin modelsof discretephaseoscillators,

Anna_Vasylenko,Yu.Maistrenko,M. Hasler 360

Applicationoffractal analysisin detectionofbonestructure_changes,

Michal Wroblewski and BozenaSwidzinska 364

AnExtendedBernoulliMapDrivenby Dynamic Thresholding,

KenjiYanoand

_Kiyoshi

Tanaka 368

Optimalmulti-user_{chaos-shift-keying}communication systems,

Ji Yao 372

Heart Tissueas aDynamicalSystem,

E.ZhuchkovaandA.Loskutov 376 A ModelforThe 'Chaotic'Oscillations

_of

Congenital Nystagmus

Christopher

M. Harrisand David L.

_Berry

380

Index

_by

authors 385