N EW T ECHNIQUE TO O BTAIN THE R EINJECTION P ROBABILITY F UNCTION FOR I NTERMITTENCY T YPE III

ELASKAR, SERGIO; DEL RIO, EZEQUIEL

Río Cuarto

Congreso; VII MACI 2019; 2019

Asociación Argentina de Matemática Aplicada, Computacional e Industrial

Intermittency is characterized by the successive occurrence of a signal that alternates chaotic burst betweenquasi-regular periods or laminar phases. The intermittency phenomenon is classified into three types in function of theeigenvalue of the local Poincaré map and the value of the respective Floquet multiplier: type I, type II and type III. Inthis paper is introduced a new reinjection probability function (RPF) for intermittency type III and the technique toobtain the new function. The new RPF includes the constant RPF as a particular case. The proposed technique to obtainthe new RPF shows advantages because it reduces the noise in experimental and numerical data. Finally, a map isanalyzed to prove the accuracy of the new RPF function and the viability of the proposed technique to obtain it.