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Control and synchronization spatiotemporal chaos in fluids

Objective



Research objectives and content
THE DOCTORAL AND POST-DOCTORAL STUDIES OF THE APPLICANT HAVE MAINLY CONCERNED THE INTRODUCTION OF A NEW ADAPTIVE TECHNIQUE FOR PERTURBING A CHAOTIC DYNAMICS IN ORDER TO PRODUCE CONTROL AND/OR SYNCHRONIZATION OF CHAOS. SUCH PROCEDURE HAS BEEN RECENTLY EXTENDED TO INFINITE DIMENSIONAL SYSTEMS FOR THE CONTROL OF PHASE DEFECTS AND SPACE-LIKE STRUCTURE WITHIN AMPLITUDE TURBULENT REGIMES IN A THEORETICAL MODEL DESCRIBING THE DYNAMICS OF A BENARD-MARANGONI TIME-DEPENDENT CONVECTION EXPERIMENT. THE MAIN GOAL OF THIS RESEARCH PROJECT (DEFINED IN DETAILS IN THE ATTACHED 'DESCRIPTION OF THE RESEARCH PROJECT') IS TO PROVE THE VALIDITY AND ROBUSTNESS OF SUCH AN ADAPTIVE PROCEDURE IN THE CORRESPONDING REAL EXPERIMENT. THIS WOULD CONSTITUTE THE FIRST EXPERIMENTAL EVIDENCE OF CONTROL OF SPATIO-TEMPORAL CHAOS. EXTENSION OF CONTROL OVER SPACE-EXTENDED SYSTEMS IMPLY TO CHOOSE PROPERLY SMALL PERTURBATIONS ABLE TO LEAD TO THE EMERGENCE OF REGULAR (DESIRED) PATTERNS OUT OF TURBULENT STATES.
Training content (objective, benefit and expected impact)
DURING THE PERIOD OF THE PRESENT RESEARCH PROJECT, MY HOPE IS TO SHARE THE EXPERTISE ACQUIRED DURING MY PREVIOUS ACTIVITIES IN NONLINEAR OPTICS WITH THAT OF PEOPLE FROM ANOTHER DISCIPLINE (FLUIDODYNAMICS). FROM THIS POINT OF VIEW, THE GROUP OF THE PHYSICS DEPARTMENT AT THE UNIVERSITY OF NAVARRA OFFERS THE GREAT OPPORTUNITY OF HAVING GATHERED AN ENORMOUS EXPERTISE IN MODELING, ANALYSIS AND CONTROL OF FLUIDODYNAMICAL SYSTEMS.
I EXPECT A GREAT BENEFIT FROM THIS PERIOD OF RESEARCH.
Links with industry / industrial relevance (22)
THE CONTROL AND SYNCHRONIZATION OF TEMPORAL AND SPATIOTEMPORAL CHAOS IS A RESEARCH TASK VERY CLOSE TO A READY-MADE INDUSTRIAL TOOL. IN PARTICULAR, SYNCHRONIZATION OF CHAOS IS RELEVANT FOR CONTRUCTING SECURE COMMUNICATION SYSTEMS, I.E. SYSTEMS FOR THE TRANSMISSION OF MESSAGES AND/OR INFORMATION WHICH CAN WARRANT CONFIDENTIAL COMMUNICATION BETWEEN A SENDER AND A RECEIVER. IT IS WORTH TO MENTION THAT THE ADAPTIVE APPROACH TO THE SECURE COMMUNICATION SYSTEM HAS BEEN ALREADY PATENTED. THE EXPERIMENTAL REALIZATION CAN BE OF GREAT RELEVANCE FOR INDUSTRIAL APPLICATION. FURTHERMORE, THE CONTROL OF SPATIO-TEMPORAL CHAOS MAY CONSTITUTE AN IMPORTANT ACHIEVEMENT FOR FUTURE APPLICATION IN THE FIELD OF PARALLEL COMPUTATION, AND PARALLEL CODING-ENCODING PROCESSES.

Coordinator

UNIVERSIDAD DE NAVARRA
Address

31080 Pamplona
Spain