Articoli correlati a Polynomial Functional Dynamical Systems

Polynomial Functional Dynamical Systems - Brossura

Luo, Albert

 
9783031797088: Polynomial Functional Dynamical Systems
Brossura
ISBN 10: 3031797086 ISBN 13: 9783031797088
Casa editrice: Springer, 2021

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Informazioni sull'autore

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.

Dalla quarta di copertina

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.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Springer
Data di pubblicazione
2021
Lingua
Inglese
ISBN 10 
3031797086
ISBN 13 
9783031797088
Rilegatura
Copertina flessibile
Numero edizione
1
Numero di pagine
164
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