caa a22 4500 445866403 CHVBK 20180317145459.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1140/epjd/e2010-10314-9 doi (NATIONALLICENCE)springer-10.1140/epjd/e2010-10314-9 Dynamics of two coupled chaotic systems driven by external signals [Elektronische Daten] [H. Mancini, G. Vidal] Abstract.: Setting-up a controlled or synchronized state in a space-time chaotic structure targeting an unstable periodic orbit is a key feature of many problems in high dimensional physical, electronics, biological and ecological systems (among others). Formerly, we have shown numerically and experimentally that phase synchronization [M.G. Rosenblum, A.S. Pikovsky, J. Kurths, Phys. Rev. Lett. 78, 4193 (1997)] can be achieved in time dependent hydrodynamic flows [D. Maza, A. Vallone, H.L. Mancini, S. Boccaletti, Phys. Rev. Lett. 85, 5567 (2000)]. In that case the flow was generated in a small container with inhomogeneous heating in order to have a single roll structure produced by a Bénard-Marangoni instability [E.L. Koshmieder, Bénard Cells and Taylor Vortices (Cambridge University Press, 1993)]. Phase synchronization was achieved by a small amplitude signal injected at a subharmonic frequency obtained from the measured Fourier temperature spectrum. In this work, we analyze numerically the effects of driving two previously synchronized chaotic oscillators by an external signal. The numerical system represents a convective experiment in a small container with square symmetry, where boundary layer instabilities are coupled by a common flow. This work is an attempt to control this situation and overcome some difficulties to select useful frequency values for the driving force, analyzing the influence of different harmonic injection signals on the synchronization in a system composed by two identical chaotic Takens-Bogdanov equations (TBA and TBB) bidirectionally coupled. EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg, 2010 Mancini H. Instituto de Física, Universidad de Navarra, Irunlarrea s/n, 31080, Pamplona, Spain aut Vidal G. Instituto de Física, Universidad de Navarra, Irunlarrea s/n, 31080, Pamplona, Spain aut The European Physical Journal D Springer-Verlag 62/1(2011-03-01), 57-66 1434-6060 62:1<57 2011 62 10053 https://doi.org/10.1140/epjd/e2010-10314-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1140/epjd/e2010-10314-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Mancini H. Instituto de Física, Universidad de Navarra, Irunlarrea s/n, 31080, Pamplona, Spain aut NATIONALLICENCE 700 1- Vidal G. Instituto de Física, Universidad de Navarra, Irunlarrea s/n, 31080, Pamplona, Spain aut NATIONALLICENCE 773 0- The European Physical Journal D Springer-Verlag 62/1(2011-03-01), 57-66 1434-6060 62:1<57 2011 62 10053 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer