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|a 10.1007/978-981-15-5212-0.
|2 doi
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|a 10.1007/978-981-15-5
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1 |
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|a Luo, Albert C. J.,
|e author.
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| 245 |
1 |
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|a Bifurcation and stability in nonlinear discrete systems /
|c Albert C.J. Luo.
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| 264 |
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1 |
|a Singapore :
|b Springer,
|c 2020.
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| 300 |
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|a 1 online resource
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| 336 |
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|a text
|b txt
|2 rdacontent
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|a computer
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|a online resource
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|a text file
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|b PDF
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| 490 |
1 |
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|a Nonlinear physical science,
|x 1867-8440
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| 500 |
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|a "With 43 figures"--Title page.
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| 504 |
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|a Includes bibliographical references and index.
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| 505 |
0 |
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|a Local Stability and Bifurcations -- Low-dimensional Discrete Systems -- Global Stability in 1-D discrete systems -- Forward and backward discrete systems -- Infinite-fixed-point Systems -- Subject index.
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| 520 |
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|a 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.
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| 650 |
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|a Bifurcation theory.
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| 650 |
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7 |
|a Nonlinear science.
|2 bicssc
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| 650 |
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7 |
|a Dynamics & vibration.
|2 bicssc
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| 650 |
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|a Automatic control engineering.
|2 bicssc
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| 650 |
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7 |
|a Cybernetics & systems theory.
|2 bicssc
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| 650 |
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|a Mathematics
|x Mathematical Analysis.
|2 bisacsh
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|2 bisacsh
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| 650 |
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7 |
|a Bifurcation theory
|2 fast
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| 776 |
0 |
8 |
|i Print version:
|a Luo, Albert C.J.
|t Bifurcation and stability in nonlinear discrete systems.
|d Singapore : Springer, 2020
|z 9811552118
|z 9789811552113
|w (OCoLC)1148870369
|
| 830 |
|
0 |
|a Nonlinear physical science.
|
| 856 |
4 |
0 |
|u https://holycross.idm.oclc.org/login?auth=cas&url=https://link.springer.com/10.1007/978-981-15-5212-0
|y Click for online access
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|a SPRING-PHYSICS2020
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|a 92
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