Local and global analysis of a discrete model describing the second-order digital filter with nonlinear signal processors
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
Original language | English |
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Article number | 2450168 |
Journal / Publication | International Journal of Modern Physics C |
Volume | 36 |
Issue number | 1 |
Online published | 21 Jun 2024 |
Publication status | Published - Jan 2025 |
Link(s)
Abstract
The paper devotes to the synthesis of local and global analysis of a discrete model describing the second-order digital filter with nonlinear signal processors. The discrete model gives rise to a two-dimensional non-invertible map, whose basins of attraction have complicated topological structures due to the intrinsic multi-stability. The influences of joint parameters on the local dynamics are presented in great details. Both theoretical and numerical results are plotted on the two-dimensional parametric planes. To show more detailed bifurcation structure, the isoclines are extended to higher periodic orbits for detecting the cusps of resonant entrainments. Invariant manifolds and critical curves are employed to illustrate the global dynamics of the model vividly. The tangency and intersections of invariant manifolds expound the process of erosions of basins of attraction. The global bifurcations of basins of attraction are deduced dynamically by critical curves.
Research Area(s)
- Local and global dynamics, bifurcations, basins of attraction, invariant manifolds, critical curves
Bibliographic Note
Full text of this publication does not contain sufficient affiliation information. With consent from the author(s) concerned, the Research Unit(s) information for this record is based on the existing academic department affiliation of the author(s).
Citation Format(s)
Local and global analysis of a discrete model describing the second-order digital filter with nonlinear signal processors. / Yang, Qing-Rui; Li, Xian-Feng; Yang, Zhe et al.
In: International Journal of Modern Physics C, Vol. 36, No. 1, 2450168, 01.2025.
In: International Journal of Modern Physics C, Vol. 36, No. 1, 2450168, 01.2025.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review