Bifurcation and Stability in Nonlinear Discrete Systems by Albert C. J. Luo

Author:Albert C. J. Luo
Language: eng
Format: epub
ISBN: 9789811552120
Publisher: Springer Singapore

(2.194)

For , the corresponding fixed-point are and From Eq. (2.194), the linearized equation in vicinity of the fixed-point with is

(2.195)

(i)For the branches of the two fixed-points are monotonically unstable and the variational equation is

(2.196)

(ii)For the branch of the fixed-point is monotonically stable and the variational equation is

(2.197)

Such a fixed-point is

monotonically stable for due to or

zero stable for due to for all

oscillatorilly stable for due to or

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.