TY  - GEN
N2  - This book focuses on bifurcation and stability in nonlinear discrete systems, including monotonic and oscillatory stability. It presents the local monotonic and oscillatory stability and bifurcation of period-1 fixed-points on a specific eigenvector direction, and discusses the corresponding higher-order singularity of fixed-points. Further, it explores the global analysis of monotonic and oscillatory stability of fixed-points in 1-dimensional discrete systems through 1-dimensional polynomial discrete systems. Based on the Yin-Yang theory of nonlinear discrete systems, the book also addresses the dynamics of forward and backward nonlinear discrete systems, and the existence conditions of fixed-points in said systems. Lastly, in the context of local analysis, it describes the normal forms of nonlinear discrete systems and infinite-fixed-point discrete systems. Examining nonlinear discrete systems from various perspectives, the book helps readers gain a better understanding of the nonlinear dynamics of such systems.
DO  - 10.1007/978-981-15-5
AB  - This book focuses on bifurcation and stability in nonlinear discrete systems, including monotonic and oscillatory stability. It presents the local monotonic and oscillatory stability and bifurcation of period-1 fixed-points on a specific eigenvector direction, and discusses the corresponding higher-order singularity of fixed-points. Further, it explores the global analysis of monotonic and oscillatory stability of fixed-points in 1-dimensional discrete systems through 1-dimensional polynomial discrete systems. Based on the Yin-Yang theory of nonlinear discrete systems, the book also addresses the dynamics of forward and backward nonlinear discrete systems, and the existence conditions of fixed-points in said systems. Lastly, in the context of local analysis, it describes the normal forms of nonlinear discrete systems and infinite-fixed-point discrete systems. Examining nonlinear discrete systems from various perspectives, the book helps readers gain a better understanding of the nonlinear dynamics of such systems.
T1  - Bifurcation and stability in nonlinear discrete systems /
DA  - 2020.
CY  - Singapore :
AU  - Luo, Albert C. J.
CN  - QA380
PB  - Springer,
PP  - Singapore :
PY  - 2020.
ID  - 940669
KW  - Bifurcation theory.
SN  - 9789811552120
SN  - 9811552126
TI  - Bifurcation and stability in nonlinear discrete systems /
LK  - https://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-981-15-5212-0
UR  - https://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-981-15-5212-0
ER  -