TY - JOUR ID - 14773 TI - Modelling of chaos in smooth piecewise dynamical systems with one discontinuous point JO - Journal of Advanced Mathematical Modeling JA - JAMM LA - en SN - 2251-8088 AU - Pourbarat, Mehdi AU - Abbasi, Neda AU - Makrooni, Roya AD - Department of Mathematics, Shhid Beheshti University, Tehran, Iran AD - Mahani Mathematical Research Center, Shahid Bahonar University of Kerman, Kerman, Iran AD - Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran Y1 - 2019 PY - 2019 VL - 9 IS - 2 SP - 93 EP - 105 KW - Dynamical System KW - Devaney chaos KW - discontinues point DO - 10.22055/jamm.2019.26024.1588 N2 - In this paper, we provide conditions on the smooth piecewise dynamical systems that guarantee the existence of Devaney chaos. In fact, we show that if f is a generalized semi-baker map with two branches and its derivative greater than or equal √2, then the dynamical system related to that is chaotic in the sense of Devaney. Such conditions on the dynamical systems with more than one discontinues point essentially does not satisfy this result. UR - https://jamm.scu.ac.ir/article_14773.html L1 - https://jamm.scu.ac.ir/article_14773_c5481d490ef17b67d259a9de14be11f7.pdf ER -