000069983 001__ 69983
000069983 005__ 20220824101107.0
000069983 0247_ $$2doi$$a10.1038/s41598-017-17969-9
000069983 0248_ $$2sideral$$a105023
000069983 037__ $$aART-2017-105023
000069983 041__ $$aeng
000069983 100__ $$0(orcid)0000-0002-1625-2785$$aMartinez, P.J.$$uUniversidad de Zaragoza
000069983 245__ $$aIdentification of minimal parameters for optimal suppression of chaos in dissipative driven systems
000069983 260__ $$c2017
000069983 5060_ $$aAccess copy available to the general public$$fUnrestricted
000069983 5203_ $$aTaming chaos arising from dissipative non-autonomous nonlinear systems by applying additional harmonic excitations is a reliable and widely used procedure nowadays. But the suppressory effectiveness of generic non-harmonic periodic excitations continues to be a significant challenge both to our theoretical understanding and in practical applications. Here we show how the effectiveness of generic suppressory excitations is optimally enhanced when the impulse transmitted by them (time integral over two consecutive zeros) is judiciously controlled in a not obvious way. Specifically, the effective amplitude of the suppressory excitation is minimal when the impulse transmitted is maximum. Also, by lowering the impulse transmitted one obtains larger regularization areas in the initial phase difference-amplitude control plane, the price to be paid being the requirement of larger amplitudes. These two remarkable features, which constitute our definition of optimum control, are demonstrated experimentally by means of an analog version of a paradigmatic model, and confirmed numerically by simulations of such a damped driven system including the presence of noise. Our theoretical analysis shows that the controlling effect of varying the impulse is due to a subsequent variation of the energy transmitted by the suppressory excitation.
000069983 536__ $$9info:eu-repo/grantAgreement/ES/MINECO/FIS2012-34902$$9info:eu-repo/grantAgreement/ES/MINECO/FIS2011-25167$$9info:eu-repo/grantAgreement/ES/MINECO/FIS2014-55867-P
000069983 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/
000069983 590__ $$a4.122$$b2017
000069983 591__ $$aMULTIDISCIPLINARY SCIENCES$$b12 / 64 = 0.188$$c2017$$dQ1$$eT1
000069983 592__ $$a1.533$$b2017
000069983 593__ $$aMultidisciplinary$$c2017$$dQ1
000069983 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000069983 700__ $$aEuzzor, S.
000069983 700__ $$aGallas, J.A.C.
000069983 700__ $$aMeucci, R.
000069983 700__ $$aChacon, R.
000069983 7102_ $$12002$$2385$$aUniversidad de Zaragoza$$bDpto. Física Aplicada$$cÁrea Física Aplicada
000069983 773__ $$g7 (2017), 17988 [7 pp.]$$pSci. rep.$$tScientific Reports$$x2045-2322
000069983 8564_ $$s2462331$$uhttps://zaguan.unizar.es/record/69983/files/texto_completo.pdf$$yVersión publicada
000069983 8564_ $$s109738$$uhttps://zaguan.unizar.es/record/69983/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000069983 909CO $$ooai:zaguan.unizar.es:69983$$particulos$$pdriver
000069983 951__ $$a2022-08-24-10:10:18
000069983 980__ $$aARTICLE