1st Edition
Lozi, Hénon and Belykh Chaotic Attractors New Results Fifty Years On
Introduction - Lozi, Hénon, and Belykh chaotic attractors: new results fifty years on
René Lozi, Lyudmila Efremova, Mohammed-Salah Abdelouahab, Safwan El
Assad and Michal Pluhacek
1. Controlling chaotic transients in the Hénon and the Lozi map with the safety function
Rubén Capeáns and Miguel A. F. Sanjuán
2. On target-oriented control of Hénon and Lozi maps
Elena Braverman and Alexandra Rodkina
3. Controlling chimera and solitary states by additive noise in networks of chaotic maps
Elena Rybalova, Eckehard Schöll and Galina Strelkova
4. Statistical self-similarity in Lozi and Hénon's strange attractors
Alexandre M. de Paula Viveiros
5. Markov partition in the attractor of Lozi maps
Diogo Baptista
6. Lozi map embedded into the 2D border collision normal form
Irina Sushko, Victor Avrutin and Laura Gardini
7. A higher-dimensional generalization of the Lozi map: bifurcations and dynamics
Shakir Bilal and Ramakrishna Ramaswamy
8. Existence proofs for strange attractors in piecewise-smooth nonlinear Lozi-Hénon and Belykh maps
Vladimir N. Belykh, Nikita V. Barabash and Dina A. Grechko
9. On the relationship between Lozi maps and max-type difference equations
Antonio Linero Bas and Daniel Nieves Roldán
10. K-symbol fractional order discrete-time models of Lozi system
Rabha W. Ibrahim
11. Border collision bifurcations in a piecewise linear duopoly model
Laura Gardini and Davide Radi
12. Detecting invariant expanding cones for generating word sets to identify chaos in piecewise-linear maps
David J. W. Simpson
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
Lyudmila Efremova is Professor at Nizhny Novgorod State University and Moscow Institute of Physics and Technology, Russia. Her scientific interests include regular and chaotic properties of low-dimensional discrete dynamical systems.
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.
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.
