@inproceedings{020b9ddb464a4e88b2b4133390639de0,
title = "Algebraic Analysis of Bifurcations and Chaos for Discrete Dynamical Systems",
abstract = "This paper deals with the stability, bifurcations and chaotic behaviors of discrete dynamical systems by using methods of symbolic computation. We explain how to reduce the problems of analyzing the stability, bifurcations and chaos induced by snapback repellers to algebraic problems, and solve them by using an algorithmic approach based on methods for solving semi-algebraic systems. The feasibility of the symbolic approach is demonstrated by analyses of the dynamical behaviors for several discrete models.",
keywords = "Bifurcations, Chaos, Discrete systems, Snapback repeller, Symbolic computation",
author = "Bo Huang and Wei Niu",
note = "Publisher Copyright: {\textcopyright} 2020, Springer Nature Switzerland AG.; 8th International Conference on Mathematical Aspects of Computer and Information Sciences, MACIS 2019 ; Conference date: 13-11-2019 Through 15-11-2019",
year = "2020",
doi = "10.1007/978-3-030-43120-4\_14",
language = "英语",
isbn = "9783030431198",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer",
pages = "169--184",
editor = "Daniel Slamanig and Elias Tsigaridas and Zafeirakis Zafeirakopoulos",
booktitle = "Mathematical Aspects of Computer and Information Sciences - 8th International Conference, MACIS 2019, Revised Selected Papers",
address = "德国",
}