Bifurcation dynamics in polynomial discrete systems / / Albert C. J. Luo

• Record Nr.: UNINA9910427673903321
• Autore: Luo Albert C. J.
• Pubbl/distr/stampa: Singapore : , : Springer, , [2020]; ©2020
• ISBN: 981-15-5208-8
• Edizione: [1st ed. 2020.]
• Descrizione fisica: 1 online resource (XI, 430 p. 68 illus., 66 illus. in color.)
• Collana: Nonlinear physical science
• Disciplina: 511.3
• Soggetti: Computational complexity; Dynamics; Ergodic theory
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di contenuto: Quadratic Nonlinear Discrete Systems -- Cubic Nonlinear Discrete Systems -- Quartic Nonlinear Discrete Systems -- (2m)th-degree Polynomial Discrete Systems -- (2m+1)th-degree polynomial discrete systems -- Subject index. .
• Sommario/riassunto: This is the first book focusing on bifurcation dynamics in 1-dimensional polynomial nonlinear discrete systems. It comprehensively discusses the general mathematical conditions of bifurcations in polynomial nonlinear discrete systems, as well as appearing and switching bifurcations for simple and higher-order singularity period-1 fixed-points in the 1-dimensional polynomial discrete systems. Further, it analyzes the bifurcation trees of period-1 to chaos generated by period-doubling, and monotonic saddle-node bifurcations. Lastly, the book presents methods for period-2 and period-doubling renormalization for polynomial discrete systems, and describes the appearing mechanism and period-doublization of period-n fixed-points on bifurcation trees for the first time, offering readers fascinating insights into recent research results in nonlinear discrete systems.