## Abstract

Applications of p-adic numbers mathematical physics, quantum mechanics stimulated increasing interest in the study of p-adic dynamical system. One of the interesting investigations is p-adic logistics map. In this paper, we consider a new generalization, namely we study a dynamical system of the form f_{a}(x) ax(1-x^{2}). The paper is devoted to the investigation of a trajectory of the given system. We investigate the generalized logistic dynamical system with respect to parameter a and we restrict ourselves for the investigation of the case |a|_{p} < 1. We study the existence of the fixed points and their behavior. Moreover, we describe their size of attractors and Siegel discs since the structure of the orbits of the system is related to the geometry of the p-adic Siegel discs.

Original language | English |
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Article number | 012012 |

Journal | Journal of Physics: Conference Series |

Volume | 435 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2013 |

Externally published | Yes |

Event | 4th International Conference on the Advancement of Science and Technology 2012: Contemporary Mathematics, Mathematical Physics and Their Applications, iCAST 2012 - Kuantan, Malaysia Duration: Nov 7 2012 → Nov 10 2012 |

## ASJC Scopus subject areas

- Physics and Astronomy(all)