Polynomial Functional Dynamical Systems

Albert Luo

ISBN 10: 3031797086 / ISBN 13: 9783031797088

Published by Springer, Palgrave Macmillan Sep 2021, 2021

About this Item

This item is printed on demand - Print on Demand Titel. Neuware -The book is about the global stability and bifurcation of equilibriums in polynomial functional systems. Appearing and switching bifurcations of simple and higher-order equilibriums in the polynomial functional systems are discussed, and such bifurcations of equilibriums are not only for simple equilibriums but for higher-order equilibriums. The third-order sink and source bifurcations for simple equilibriums are presented in the polynomial functional systems. The third-order sink and source switching bifurcations for saddle and nodes are also presented, and the fourth-order upper-saddle and lower-saddle switching and appearing bifurcations are presented for two second-order upper-saddles and two second-order lower-saddles, respectively. In general, the (2¿¿¿¿ + 1)th-order sink and source switching bifurcations for (2¿¿¿¿¿¿¿¿)th-order saddles and (2¿¿¿¿¿¿¿¿ +1)-order nodes are also presented, and the (2¿¿¿¿)th-order upper-saddle and lower-saddle switching and appearing bifurcations arepresented for (2¿¿¿¿¿¿¿¿)th-order upper-saddles and (2¿¿¿¿¿¿¿¿)th-order lower-saddles (¿¿¿¿, ¿¿¿¿ = 1,2,¿). The vector fields in nonlinear dynamical systems are polynomial functional. Complex dynamical systems can be constructed with polynomial algebraic structures, and the corresponding singularity and motion complexity can be easily determined.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 168 pp. Englisch.

Seller Inventory # 9783031797088

Bibliographic Details

• Title: Polynomial Functional Dynamical Systems
• Publisher: Springer, Palgrave Macmillan Sep 2021
• Publication Date: 2021
• Language: English
• ISBN 10: 3031797086
• ISBN 13: 9783031797088
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 191H x 10D millimeters 235 millimeters width by 191 millimeters height by 10 millimeters depth
• Weight: 327 grams

About this title

Synopsis

The book is about the global stability and bifurcation of equilibriums in polynomial functional systems. Appearing and switching bifurcations of simple and higher-order equilibriums in the polynomial functional systems are discussed, and such bifurcations of equilibriums are not only for simple equilibriums but for higher-order equilibriums. The third-order sink and source bifurcations for simple equilibriums are presented in the polynomial functional systems. The third-order sink and source switching bifurcations for saddle and nodes are also presented, and the fourth-order upper-saddle and lower-saddle switching and appearing bifurcations are presented for two second-order upper-saddles and two second-order lower-saddles, respectively. In general, the (2���� + 1)th-order sink and source switching bifurcations for (2��������)th-order saddles and (2�������� +1)-order nodes are also presented, and the (2����)th-order upper-saddle and lower-saddle switching and appearing bifurcations arepresented for (2��������)th-order upper-saddles and (2��������)th-order lower-saddles (����, ���� = 1,2,…). The vector fields in nonlinear dynamical systems are polynomial functional. Complex dynamical systems can be constructed with polynomial algebraic structures, and the corresponding singularity and motion complexity can be easily determined.

About the Author

Professor Albert C.J. Luo has worked at Southern Illinois University Edwardsville. For over 30 years, Dr. Luos contributions on nonlinear dynamical systems and mechanics lie in: (i) the local singularity theory for discontinuous dynamical systems; (ii) dynamical systems synchronization; (iii) analytical solutions of periodic and chaotic motions in nonlinear dynamical systems; (iv) the theory for stochastic and resonant layer in nonlinear Hamiltonian systems; and (v) the full nonlinear theory for a deformable body. Such contributions have been scattered into 20 monographs and over 300 peer-reviewed journal and conference papers. Dr. Luo has served as an editor for the journal Communications in Nonlinear Science and Numerical Simulation, and book series on Nonlinear Physical Science (HEP) and Nonlinear Systems and Complexity (Springer). Dr. Luo was an editorial member for IMeCh E Part K Journal of Multibody Dynamics and Journal of Vibration and Control; and has also organized over 30 international symposiums and conferences on dynamics and control.