ScheduleThursday 13,
9:00–9:30
Thursday 13,
9:30–10:15

Opening ceremony Louis Castex, Director of INSA, Michel Roustan, ViceDirector of INSA Scientific council, Lucien Baldas & Etienne Sicard, Directorsof INSA International Relationship, Jean-Marie Dilhac, director of DGEI
13AM1 Noninvertible maps . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (page iv)

Thursday 13,
10:30–11:15

13AM2 Non linear maps in Economics (I) . . . . . . . . . . . . . . . . . . . . . (page iv)

Thursday 13,
11:30–12:35

13AM3 Hybrid and nonsmooth systems . . . . . . . . . . . . . . . . . . . . . . . (page iv)

Thursday 13,
14:00–14:45

13PM1 Computer simulations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (page v)

Friday14,8:30–9:15

14AM1 Fractals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (page v)

Friday14,
9:15–10:00

14AM2 Telecommunications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (page v)

Friday14,
10:30–11:50

14AM3 Synchronization and transmission systems . . . . . . . . . . . . . (page v)

Friday14,
14:00–15:20

14PM1 Non linear maps in Economics (II) . . . . . . . . . . . . . . . . . . . . . (page vi)

Friday14,
15:30–16:10

14PM2 Bifurcations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (page vi)

Friday14,
16:30–17:30
Friday14,
17:10–17:30

14PM3 Poster session . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (page vii)
Closure of the workshopiii

Technical Program
13AM1: Noninvertible maps
Date: December 13, 9:30–10:15
Room: DGEI 213
Chair: T. Ueta (Tokushima University, Japan)
13AM1-1 Succinct View of the Noninvertible Maps Features
Christian Mira (Univ. Urbino)

1

13AM2: Non linear maps in Economics (I)Date: December 13, 10:30–11:15
Room: DGEI 213
Chair: Clara Gracio (Evora University, Portugal)
13AM2-1 A two sectors growth model in an OLG context
Anna Agliari (Catholic University- Piacenza)

4

13AM3: Hybrid and nonsmooth systems
Date: December 13, 11:30–12:30
Room: DGEI 213
Chair: G. Kolumban (Budapest Technical University, Hungary)
Frequency Quantization in First-Order Digital Phase-Locked Loops with
13AM3-1 Frequency-Modulated Input

6Stefan Tertinek (University College Dublin), Alexey Teplinsky (National Academy of Sciences),Orla Feely (University College Dublin)
1013AM3-2 A Nonlinear Time Varying Map Model for Buck DC-AC Inverters
Abdelali El Aroudi (Universitat Rovira i Virgili), Eduard Alarcon (Universitat Ploitecnica de Cat)
13AM3-3 FPIC Based Stabilization of a One Dimensional Nonlinear Map Model for a
14Multi-Cell DC-DC Buck Converter
Abdelali El Aroudi (Universitat Rovira i Virgili), Fabiola Angulo (Universidad Nacional), Bruno
Robert (Université de Reims), Moez Feki (Université de Sfax), Gerard Olivar (Universidad Nacional)iv

18

13AM3-4 Ancient results on hybrid systems
Cristian Mira (Toulouse)

13PM1: Computer simulations
Date: December 13, 14:00–14:45
Room: DGEI 213
Chair: D. Fournier-Prunaret (Toulouse University, LATTIS-INSA, France)
Visualization of unstable periodic points embedded in chaotic attractors by the
13PM1-1 directional coloring

23

Tetsushi Ueta (Tokushima University), Hiroshi Kawakami (Tokushima University)

14AM1: Fractals
Date: December 14, 8:30–9:15
Room: DGEI 213
Chair: C. Mira (Toulouse, France)
14AM1-1 From Iterations to Fractal Geometry: Applications in Electronics
Maciej J Ogorzalek (Jagiellonian University)

2814AM2: Telecommunications
Date: December 14, 9:15–10:00
Room: DGEI 213
Chair: Y. Nishio (Tokushima University, Japan)
14AM2-1 LR-WPAN and UWB data communication systems: A new possible applica30
tion for chaotic carriersGéza Kolumbán (Budapest Univ. Tech, Economics), Tamás Krébesz (Budapest Univ. Tech, Economics)

14AM3: Synchronization and transmission systems
Date: December 14, 10:30–11:50
Room: DGEI 213
Chair: M. Ogorzalek (Krakow University, Poland)
Improvement of synchronization performance for multi-user chaos-based DS14AM3-1 CDMA system

34

Kaddoum Georges (LATTIS/INSA & IRIT/ENSEEIHT), Chargé Pascal (LATTIS/INSA), Fournier
Prunaret Daniéle (LATTIS/INSA), Roviras Daniel (IRIT/ENSEEIHT)v

Synchronization Phenomena of Chaotic Map Lattice with Time Varying Cou14AM3-2 pling

38

Yoko Uwate (Tokushima University), Yoshifumi Nishio (Tokushima University), Ruedi Stoop (UZH/ ETH Zurich)
42
14AM3-3 Symbolic Dynamics and Networks Synchronization
Acilina Nascimento Caneco (ISEL and CIMA-UE, Portugal), Sara Fernandes (Univ. Evora andCIMA-UE, Por), Clara Gracio (Univ. Evora and CIMA-UE, Portu), Jose Leonel Rocha (ISEL, Portugal)
46
14AM3-4 A Digital Encoding Method Using Chaos
Yanjun Xu (INSA), Pascal Chargé (INSA), Daniéle Fournier-Prunaret (INSA), Abdel Kaddous Taha(INSA)

14PM1: Non linear maps in Economics (II)
Date: December 14, 14:00-15:20
Room: DGEI 213
Chair: Anna Agliari (Piacenza University, Italie)
14PM1-1 On non-uniquely defined forward looking models
Laura Gardini (Urbino University), Fabio Tramontana (Ancona University)

50

52
14PM1-2 An Economic Model of Coupled Exponential Maps
Ricardo Lopez-Ruiz (UNIZAR - Spain), Javier Gonzalez-Estevez (UNET - Venezuela), Mario G.
Cosenza (ULA - Venezuela), Juan R. Sanchez (UNMDP - Argentina)
55
14PM1-3 Duopoly game with alternative technologies
Tonu Puu (Umea University), Laura Gardini (Urbino University), Fabio Tramontana (Ancona University)

14PM2: Bifurcations
Date: December 14, 15:30-16:10
Room: DGEI 213
Chair: Ricardo Lopez-Ruiz (Zaragoza University, Spain)
57
14PM2-1 Method of Bifurcation Analysis of Hybrid Nonlinear Systems
Quentin Brandon (University of Tokushima), Tetsushi Ueta (University of Tokushima), DaniéleFournier-Prunaret (INSA Toulouse)
14PM2-2 Nonlinear maps with vanishing denominator
Reda Mohamed Ferchichi (Univ. Annaba), Ilhem Djellit (Univ. Annaba)

vi61

64
14PM2-3 Chaotic dynamics in a N-dimensional system based upon a sine square map
Jie Xu (INSA), Daniéle Fournier-Prunaret (INSA), Abdel Kaddous Taha (INSA), Pascal Chargé
(INSA)

14PM3: Poster session
Date: December 14, 16:30-17:30
Room: DGEI 213
Chair: Pascal Acco & Pascal Charg (LATTIS-INSA, Toulouse University, France)
Behavior of chaotic sequences under a finite representation and its crypto14PM3-1 graphic applications

68Bogdan Cristea (LATTIS-INSA), Pascal Chargé (LATTIS-INSA), Daniéle Fournier-Prunaret(LATTIS-INSA), Fabrice Peyrard (LATTIS-IUT), Jean-Jacques Mercier (LATTIS-IUT)
14PM3-2 The Cauchy’s Method as Dynamical System
Djellit Ilhem (Badji-mokhtar University), Sahari Mohamed L. (Badji-mokhtar University)

73

77
14PM3-3 On some properties of coupled maps
Brahim Kilani (Université Badji-Mokhtar), Abdel Kaddous Taha (INSA), Daniéle Fournier-Prunaret(INSA), Ilhem Djellit (INSA)
14PM3-4 Complex basins in systems defined by piecewise non linear functionsBoukemara Ibtissem (University of Annaba), Djellit Ilhem (University of Annaba)8185
14PM3-5 Maps for Chaos Shift Keying: Topological Dynamics Considerations
G Manjunath (INSA), Daniéle Fournier-Prunaret (INSA), Abdel Kaddous Taha (INSA), Pascal
Chargé (INSA)

vii