000076004 001__ 76004 000076004 005__ 20201130083156.0 000076004 0247_ $$2doi$$a10.1103/PhysRevE.98.042215 000076004 0248_ $$2sideral$$a108912 000076004 037__ $$aART-2018-108912 000076004 041__ $$aeng 000076004 100__ $$aChacon, R. 000076004 245__ $$aBouncing states of a droplet on a liquid surface under generalized forcing 000076004 260__ $$c2018 000076004 5060_ $$aAccess copy available to the general public$$fUnrestricted 000076004 5203_ $$aDroplets can exhibit complex dynamics when vertically and sinusoidally forced by a liquid surface from which they remain separated by a thin air cushion. Here we extend previous studies to include a family of periodic forcing functions that vary smoothly from sinusoidal to square wave by changing a single parameter. Through analytical and numerical work we find that the dynamics of the droplets and transitions between regular and chaotic regimes are effectively controlled by the impulse imparted on the droplets over a half-period. We also find that having nonsinusoidal forcing lowers the threshold amplitudes for most of the dynamical regimes. This is explained on the basis of a correlation between impulse increases and subsequent energy increases. 000076004 536__ $$9info:eu-repo/grantAgreement/ES/MINECO/FIS2017-87519-P$$9info:eu-repo/grantAgreement/ES/DGA/E36-17R 000076004 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ 000076004 590__ $$a2.353$$b2018 000076004 591__ $$aPHYSICS, MATHEMATICAL$$b7 / 55 = 0.127$$c2018$$dQ1$$eT1 000076004 591__ $$aPHYSICS, FLUIDS & PLASMAS$$b14 / 32 = 0.438$$c2018$$dQ2$$eT2 000076004 592__ $$a0.992$$b2018 000076004 593__ $$aCondensed Matter Physics$$c2018$$dQ1 000076004 593__ $$aStatistics and Probability$$c2018$$dQ1 000076004 593__ $$aStatistical and Nonlinear Physics$$c2018$$dQ1 000076004 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000076004 700__ $$0(orcid)0000-0002-1625-2785$$aMartinez, P.J.$$uUniversidad de Zaragoza 000076004 700__ $$aBinder, P.M. 000076004 7102_ $$12002$$2385$$aUniversidad de Zaragoza$$bDpto. Física Aplicada$$cÁrea Física Aplicada 000076004 773__ $$g98, 4 (2018), 042215 [8 pp]$$pPhys. rev., E$$tPhysical Review E$$x2470-0045 000076004 8564_ $$s1103116$$uhttps://zaguan.unizar.es/record/76004/files/texto_completo.pdf$$yVersión publicada 000076004 8564_ $$s23539$$uhttps://zaguan.unizar.es/record/76004/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000076004 909CO $$ooai:zaguan.unizar.es:76004$$particulos$$pdriver 000076004 951__ $$a2020-11-30-07:57:43 000076004 980__ $$aARTICLE