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Volume 8, Issue 4
Stability Criteria and Multiple Bifurcation Analysis for Some Nonlinear Continuous-Time Coupled Systems with Multiple Delays

Z. Wang, M. Peng & X. Yang

Int. J. Numer. Anal. Mod., 8 (2011), pp. 705-720.

Published online: 2011-08

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  • Abstract

A coupled system, which consists of multiple delayed neural network loops, is proposed and a detailed analysis of the asymptotic behavior of the zero solution is included. The stable regions and all possible bifurcations, which depend on multiple parameters, are given in a geometrical way for several specific cases.

  • Keywords

Stability, multiple bifurcations, neural network loops, delay.

  • AMS Subject Headings

34K18, 34K20, 92B20, 37N25

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-8-705, author = {Z. Wang, M. Peng and X. Yang}, title = {Stability Criteria and Multiple Bifurcation Analysis for Some Nonlinear Continuous-Time Coupled Systems with Multiple Delays}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2011}, volume = {8}, number = {4}, pages = {705--720}, abstract = {

A coupled system, which consists of multiple delayed neural network loops, is proposed and a detailed analysis of the asymptotic behavior of the zero solution is included. The stable regions and all possible bifurcations, which depend on multiple parameters, are given in a geometrical way for several specific cases.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/707.html} }
TY - JOUR T1 - Stability Criteria and Multiple Bifurcation Analysis for Some Nonlinear Continuous-Time Coupled Systems with Multiple Delays AU - Z. Wang, M. Peng & X. Yang JO - International Journal of Numerical Analysis and Modeling VL - 4 SP - 705 EP - 720 PY - 2011 DA - 2011/08 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/707.html KW - Stability, multiple bifurcations, neural network loops, delay. AB -

A coupled system, which consists of multiple delayed neural network loops, is proposed and a detailed analysis of the asymptotic behavior of the zero solution is included. The stable regions and all possible bifurcations, which depend on multiple parameters, are given in a geometrical way for several specific cases.

Z. Wang, M. Peng and X. Yang. (2011). Stability Criteria and Multiple Bifurcation Analysis for Some Nonlinear Continuous-Time Coupled Systems with Multiple Delays. International Journal of Numerical Analysis and Modeling. 8 (4). 705-720. doi:
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