Dynamical Systems Paths of Twelve Mathematicians and Physicists to Chaos and Its Applications

Introduction: Dynamical systems: Paths of Twelve Mathematicians and Physicists toward the Chaos and its applications

René Lozi, Safwan El assad, and Mohammed-Salah Abdelouahab

1. The paths of nine mathematicians to the realm of dynamical systems

René Lozi, Vladimir Belykh, Jim Michael Cushing, Lyudmila Efremova, Saber Elaydi, Laura Gardini, Michał Misiurewicz, Eckehard Schöll and Galina Strelkova

2. Two more mathematicians and one physicist tell what motivated their careers and how they began

René Lozi, Bo Zheng, Miguel San Juán and Guanrong Chen

3. Optimal placement of sensor and actuator for controlling the piecewise linear Chua circuit via a discretized controller

Christophe Letellier, Ludovico Minati and Jean-Pierre Barbot

4. Nonlinear dynamics and hyperchaos in a modified memristor-based Chua's circuit and its generalized discrete system

Nadjet Boudjerida, Mohammed Salah Abdelouahab and René Lozi

5. Memristor-based Gauss chaotic maps with hidden/self-exited dynamics

Han Bao, Yang Gu, Jianjun Sun, Xi Zhang and Bocheng Bao

6. Enhanced design and hardware implementation of a chaos-based block cipher for image protection

Mahdi Madani, Safwan El Assad, Fethi Dridi and René Lozi

7. On secure communication scheme-based mixed discrete-time hyperchaotic systems

Narjes Khalifa and Mohamed Benrejeb

8. On the use of chaotic dynamics for mobile network design and analysis: towards a trace data generator

Martin Rosalie and Serge Chaumette

9. The SEIR Covid-19 model described by fractional-order difference equations: analysis and application with real data in Brazil

Othman Almatroud, Noureddine Djenina, Adel Ouannas and Giuseppe Grassi

10. Chaotic attractors captured from remote sensing time series for the dynamics of cereal crops

Sylvain Mangiarotti and Flavie Le Jean

11. Nonlinear dynamic and chaos in a remanufacturing duopoly game with heterogeneous players and nonlinear inverse demand functions

Habiba Meskine, Mohammed Salah Abdelouahab and René Lozi

Biography

René Lozi is Emeritus Professor at University Cote d’Azur, France and Vice-President of the International Society of Difference Equations. His research areas include complexity and emergence theory, dynamical systems, bifurcations, control of chaos, cryptography based on chaos, and memristors.

Safwan El Assad is Professor at Polytech Nantes, France. Between 1988 to 2005, his research activities concerned radar imagery and digital communications. Nowadays his research largely focuses on chaos-based cryptography, encryption, crypto-compression, steganography, hash functions, authenticated encryption.

Mohammed-Salah Abdelouahab is Professor at Abdelhafid Boussouf University Center of Mila, Algeria. He is the head of the research team in fractional calculus and its applications at the laboratory of mathematics and their interactions and the editor-in-chief of the Journal of Innovative Applied Mathematics and Computational Sciences.