Associate Professor Ina Taralova
The collapsing of iterates of dynamical systems or at least the existence of very short periodic orbits, their non-constant invariant measure, and the easily recognized shape of the function in the phase space makes well-known chaotic one-dimensional maps (logistic, baker, or tent, etc.) or two-dimensional maps (Hénon, standard or Belykh, etc.) makes them inefficient for pseudo-random numbers generation and application to encryption.
The open problem is how to analyze complex systems to give an exhaustive answer to their capability to reliably protect information since there are no developed techniques on non-linear system analysis for these purposes. Further the talk will present some original observer- based schemes, suitable for encryption, and a pioneering idea of combining topologically conjugated tent and logistic maps: due to the structure of numbers in computer realization, their numerical behavior differs, however we show that an original coupling, inspired from electronic circuits, can lead to a new map with better dynamical behavior suitable for encryption. Finally, we propose new efficient observer design for synchronization with the chaotic generator, and organization of original secure chaos-based communication algorithm.
Ina TARALOVA is associate professor at Ecole Centrale de Nantes, France, and researcher at the Laboratory of Digital Sciences of Nantes (LS2N). Qualifications: Engineering degree in Control systems (Technical University of Sofia, Bulgaria), MSc in Control Theory and PhD in Nonlinear system dynamics (INSA Toulouse, France). Previous positions: Martie-Curie Post-Doctoral researcher in the department of Electrical and Electronic Engineering, University College Dublin in the field of nonlinear circuits, and research fellow at Control Systems Center, UMIST Manchester (UK).Her current teaching courses include dynamical systems, optimal control, signal processing, optimization, research methodology. Her main scientific interests are in the fields of nonlinear system dynamics, chaos and bifurcations in discrete-time systems, synchronization of chaotic systems, design of pseudo-random number generators. She is currently Deputy director for international students at Ecole Centrale de Nantes; scientific coordinator of national and international research projects and leader of the research axis “chaotic systems” at LS2N.