Dynamic Behavior of Three-Layer Fractional-Order Neural Networks with Multiple Delays

Appendix A

$n_=7k$,

$n_=-c_c_-c_c_-c_c_-c_c_-c_c_-c_c_-c_c_-c_c_-c_c_- c_c_-c_c_-c_c_$,

$n_=21k^$,

$n_=5k(-c_c_-c_c_-c_c_-c_c_-c_c_-c_c_-c_c_-c_c_-c_c_- c_c_-c_c_-c_c_)$,

$n_=35k^$, $n_=c_c_c_c_-c_c_c_c_-c_c_c_c_+c_c_c_c_+c_c_c_c_ -c_c_c_c_-c_c_c_c_+c_c_c_c_+c_c_c_c_-c_c_c_c_- c_c_c_c_ + c_c_c_c_ +c_c_c_c_-c_c_c_c_-c_c_c_c_+c_c_c_c_+c_c_c_c_+c_c_c_c_-c_c_c_c_-c_c_c_c_-c_c_c_c_+c_c_c_c_-c_c_c_c_+c_c_c_c_+c_c_c_c_ -c_c_c_c_-c_c_c_c_+c_c_c_c_+c_c_c_c_-c_c_c_c_+ c_c_c_c_-c_c_c_c_-c_c_c_c_+ c_c_c_c_ -c_c_c_c_+ c_c_c_c_+c_c_c_c_+c_c_c_c_-c_c_c_c_-c_c_c_c_- c_c_c_c_+c_c_c_c_-c_c_c_c_+c_c_c_c_+c_c_c_c_- c_c_c_c_-c_c_c_c_+c_c_c_c_+c_c_c_c_-c_c_c_c_+ c_c_c_c_-c_c_c_c_-c_c_c_c_+c_c_c_c_-c_c_c_c_+ c_c_c_c_+c_c_c_c_-c_c_c_c_-c_c_c_c_+c_c_c_c_ + c_c_c_c_-c_c_c_c_-c_c_c_ + c_c_c_c_ + c_c_c_c_-c_c_c_c_-c_c_c_c_+c_c_c_c_+c_c_c_c_- c_c_c_c_- c_c_c_c_ +c_c_c_c_$,

$n_=-10k^(c_c_+c_c_+c_c_+c_c_+c_c_+c_c_+c_c_+c_c_+c_c_+c_c_+c_c_)$,

$n_=35k^$, $n_=3k(c_c_c_c_-c_c_c_c_-c_c_c_c_+c_c_c_c_+c_c_c_c_ -c_c_c_c_-c_c_c_c_+c_c_c_c_+c_c_c_c_-c_c_c_c_- c_c_c_c_ + c_c_c_c_+c_c_c_c_-c_c_c_c_-c_c_c_c_+c_c_c_c_+c_c_c_c_+c_c_c_c_-c_c_c_c_-c_c_c_c_-c_c_c_c_+c_c_c_c_-c_c_c_c_+c_c_c_c_+c_c_c_c_ -c_c_c_c_-c_c_c_c_+c_c_c_c_+c_c_c_c_-c_c_c_c_+ c_c_c_c_-c_c_c_c_-c_c_c_c_+ c_c_c_c_ -c_c_c_c_+ c_c_c_c_+c_c_c_c_+c_c_c_c_-c_c_c_c_-c_c_c_c_- c_c_c_c_+c_c_c_c_-c_c_c_c_+c_c_c_c_+c_c_c_c_- c_c_c_c_-c_c_c_c_+c_c_c_c_+c_c_c_c_-c_c_c_c_+ c_c_c_c_-c_c_c_c_-c_c_c_c_+c_c_c_c_-c_c_c_c_+ c_c_c_c_+c_c_c_c_-c_c_c_c_-c_c_c_c_+c_c_c_*c_ + c_c_c_c_-c_c_c_c_-c_c_c_ + c_c_c_c_ + c_c_c_c_-c_c_c_c_-c_c_c_c_+c_c_c_c_+c_c_c_c_- c_c_c_c_- c_c_c_c_ +c_c_c_c_)$,

$n_=-10k^(c_c_+c_c_+c_c_+c_c_+c_c_+c_c_+c_c_+c_c_+c_c_+c_c_+c_c_+c_c_)$,

$n_=21k^$, $n_=-c_ c_ c_ c_ c_ c_+c_ c_ c_ c_$ $ c_ c_+c_ c_ c_c_ c_ c_-c_ c_ c_ c_ c_ c_-c_ c_ c_$ $ c_ c_ c_+c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_ c_-c_ c_$ $ c_ c_ c_ c_-c_ c_ c_ c_ c_ c_+_ c_ c_+c_ c_ c_ c_$ $ c_ c_-c_ c_ c_ c_ c_ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_$ $ c_ c_ c_+c_ c_ c_ c_ c_ c_-c_ c_ c_ c_ c_ c_+c_ c_$ $ c_ c_ c_ c_+c_ c_ c_ c_ c_ c_+ c_ c_ c_ c_ c_ c_-c_ c_ c_ c_ c_ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_$ $ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_ c_c_ c_ c_ c_$ $ c_ c_+c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_ c_-c_ c_ c_$ $ c_ c_ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_ c_+c_ c_$ $ c_ c_ c_ c_-c_ c_ c_ c_ c_ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_ c_-c_ c_ c_ c_ c_$ $ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_ c_+c_ c_ c_ c_$ $ c_ c_-c_ c_ c_ c_ c_ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_$ $ c_ c_ c_+c_ c_ c_ c_ c_ c_-c_ c_ c_ c_ c_ c_+c_ c_$ $ c_ c_ c_ c_-c_ c_ c_ c_ c_ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_ c_-c_ c_ c_ c_ c_$ $ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_ c_+c_ c_ c_ c_$ $ c_ c_-c_ c_ c_ c_ c_ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_$ $ c_ c_ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_ c_+c_ c_$ $ c_ c_ c_ c_-c_ c_ c_ c_ c_ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_ c_-c_ c_ c_ c_ c_$ $ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_ c_+c_ c_ c_ c_$ $ c_ c_-c_ c_ c_ c_ c_ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_$ $ c_ c_ c_+c_ c_ c_ c_ c_ c_-c_ c_ c_ c_ c_ c_+c_ c_$ $ c_ c_ c_ c_-c_ c_ c_ c_ c_ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_$ $ c_+c_ c_ c_ c_ c_ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_ c_$ $ c_ c_-c_ c_ c_ c_ c_ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_$ $ c_ c_ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_ c_+c_$ $ c_ c_ c_ c_ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_ c_-c_ c_ c_ c_ c_ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_$ $ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_ c_+c_ c_ c_ c_$ $ c_ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_ c_-c_ c_ c_$ $ c_ c_ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_ c_-c_ c_$ $ c_ c_ c_ c_+c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_ c_-c_ c_ c_ c_ c_ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_$ $ c_+c_ c_ c_ c_ c_ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_ c_$ $ c_ c_-c_ c_ c_ c_ c_ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_$ $ c_ c_ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_ c_+c_$ $ c_ c_ c_ c_ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_ c_-c_ c_ c_ c_ c_ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_$ $ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_ c_+c_ c_ c_ c_$ $ c_ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_ c_-c_ c_ c_$ $ c_ c_ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_ c_-c_ c_$ $ c_ c_ c_ c_+c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_ c_-c_ c_ c_ c_ c_$ $ c_-c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_ c_-c_ c_ c_ c_$ $ c_ c_+c_ c_ c_ c_ c_ c_+c_ c_ c_ c_ c_ c_- c_ c_ c_$ $ c_ c_ c_$,

$n_=3k^(c_c_c_c_-c_c_c_c_-c_c_c_c_+c_c_c_c_+c_c_c_c_ -c_c_c_c_-c_c_c_c_+c_c_c_c_+c_c_c_c_-c_c_c_c_- c_c_c_c_ + c_c_c_c_ +c_c_c_c_-c_c_c_c_-c_c_c_c_+c_c_c_c_+c_c_c_c_+c_c_c_c_-c_c_c_c_-c_c_c_c_-c_c_c_c_+c_c_c_c_-c_c_c_c_+c_c_c_c_+c_c_c_c_ -c_c_c_c_-c_c_c_c_+c_c_c_c_+c_c_c_c_-c_c_c_c_+ c_c_c_c_-c_c_c_c_-c_c_c_c_+ c_c_c_c_ -c_c_c_c_+ c_c_c_c_+c_c_c_c_+c_c_c_c_-c_c_c_c_-c_c_c_c_- c_c_c_c_+c_c_c_c_-c_c_c_c_+c_c_c_c_+c_c_c_c_- c_c_c_c_-c_c_c_c_+c_c_c_c_+c_c_c_c_-c_c_c_c_+ c_c_c_c_-c_c_c_c_-c_c_c_c_+c_c_c_c_-c_c_c_c_+ c_c_c_c_+c_c_c_c_-c_c_c_c_-c_c_c_c_+c_c_c_c_ + c_c_c_c_-c_c_c_c_-c_c_c_ + c_c_c_c_ + c_c_c_c_-c_c_c_c_-c_c_c_c_+c_c_c_c_+c_c_c_c_- c_c_c_c_- c_c_c_c_ +c_c_c_c_)$,

$n_=-5k^(c_c_+c_c_+c_c_+c_c_+c_c_+c_c_+c_c_+c_c_+c_c_+c_c_+c_c_+c_c_)$, $n_=7k^$, $n_= -c_ c_ c_ c_ c_ c_ +c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ -c_ c_ c_ c_$ $ c_ c_ - c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ + c_ c_$ $ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_$ $ c_ c_ + c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ - c_ c_$ $ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_ c_$ $ c_ + c_ c_ c_ c_ c_ c_ -c_ c_ c_ c_ c_ c_ - c_ c_ c_$ $ c_ c_ c_ + c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_ c_$ $ c_ + c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ - c_ c_ c_$ $ c_ c_ c_ + c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_$ $ c_ c_ + c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ - c_$ $ c_ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_$ $ - c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_$ $ c_ c_ + c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ + c_ c_$ $ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_$ $ c_ - c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ + c_ c_ c_$ $ c_ c_ c_ - c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_$ $ c_ c_ + c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ - c_ c_$ $ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_$ $ - c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_$ $ c_ c_ + c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ - c_ c_$ $ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_$ $ c_ - c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ - c_ c_$ $ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_$ $ c_ - c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ - c_ c_ c_$ $ c_ c_ c_ + c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_$ $ c_ - c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ - c_ c_$ $ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_$ $ c_ c_ - c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ - c_ c_$ $ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_$ $ c_ c_ + c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ + c_ c_$ $ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ +c_ c_ c_ c_ c_$ $ c_ + c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ + c_ c_ c_$ $ c_ c_ c_ - c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_$ $ c_ c_ + c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ + c_ c_$ $ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ + c_ c_ c_ c_$ $ c_ c_ + c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ + c_ c_$ $ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_$ $ + c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ + c_ c_ c_$ $ c_ c_ c_ + c_ c_ c_ c_ c_ c_ - c_ c_ c_ c_ c_ c_ $,

$n_=^ (c_ c_ c_ c_-c_ c_ c_ c_-c_ c_ c_ c_+ c_ c_ c_ c_+c_ c_ c_ c_- c_ c_ c_ c_ - c_ c_ c_ c_ + c_ c_ c_ c_ + c_ c_ c_ c_ - c_ c_ c_ c_- c_ c_ c_ c_+ c_ c_ c_ c_ + c_ c_ c_ c_ - c_ c_ c_ c_ -c_ c_ c_ c_+ c_ c_ c_ c_+ c_ c_ c_ c_ +c_ c_ c_ c_- c_ c_ c_ c_ - c_ c_ c_ c_-c_ c_ c_ c_+c_ c_ c_ c_-c_ c_ c_ c_+c_ c_ c_ c_ + c_ c_ c_ c_ - c_ c_ c_ c_ - c_ c_ c_ c_ + c_ c_ c_ c_+c_ c_ c_ c_-c_ c_ c_ c_+c_ c_ c_ c_-c_ c_ c_ c_-c_ c_ c_ c_ + c_ c_ c_ c_ - c_ c_ c_ c_+ c_ c_ c_ c_ + c_ c_ c_ c_+ c_ c_ c_ c_- c_ c_ c_ c_ - c_ c_ c_ c_- c_ c_ c_ c_ +c_ c_ c_ c_- c_ c_ c_ c_ ^$ $ + c_ c_ c_ c_ +c_ c_ c_ c_- c_ c_ c_ c_ - c_ c_ c_ c_+c_ c_ c_ c_ + c_ c_ c_ c_ -c_ c_ c_ c_ +c_ c_ c_ c_ -c_ c_ c_ c_ -c_ c_ c_ c_+c_ c_ c_ c_ -c_ c_ c_ c_+c_ c_ c_ c_ + c_ c_ c_ c_- c_ c_ c_ c_ -c_ c_ c_ c_+c_ c_ c_ c_ +c_ c_ c_ c_ - c_ c_ c_ c_ - c_ c_ c_ c_+ c_ c_ c_ c_ +c_ c_ c_ c_ -c_ c_ c_ c_ - c_ c_ c_ c_+ c_ c_ c_ c_ + c_ c_ c_ c_ -c_ c_ c_ c_ - c_ c_ c_ c_+c_ c_ c_ c_)$,

$n_=-^(c_ c_+c_ c_+c_ c_+c_ c_+c_ c_+c_ c_+c_ c_+c_ c_+c_ c_+c_ c_+c_ c_+ c_ c_)$,

$n_=^$.

Appendix B

Concrete expressions in system (30)

$$\begin \left\ D_=&E_,\\ D_=&E_E_-E_,\\ D_=&-E^_E_+E_E_E_+E_E_-E^_E_,\\ D_=&E^_E_E_-E^_E^_-E_E^_E_+E_E_E_E_-E_E_E_\\&-E_E_E_\!+\!2E_E_E_\!+\!E_E_E_-E^_E_+E_E_\!-\!E^_,\\ D_=&E^_E^_-E^_E_E_E_+2E^_E_E_E_+E^_E_E_E_\\&-E^_E^_E_+2E^_E_E_+E_E^_E_E_-E_E^_E^_\\&-E_E_E^_E_+E_E_E_E_E_-E_E_E_E_\\&-3E_E_E_E_+2E_E_E^_-E_E^_-E_E^_E_\\&+E_E_E^_+E^_E_-E^_E_E_+2E_E_E_-E^_,\\ D_=&-E^_E^_-3E^_E_E_E_E_+2E^_E_E_E^_+E^_E_E_E^_\\&+E^_E^_E_-E^_E^_E_E_+3E^_E^_E_-E_E^_E^_\\&+2E_E^_E_E_E_+E_E^_E_E_E_-E_E^_E^_E_\\&-E_E_E^_E^_-E_E_E_E^_E_+E_E_E_E_E_E_\\&+3E_E_E_E^_-E_E_E_E_E_+E_E_E_E_E_\\&-3E_E_E_E^_\!-\!2E_E^_E_E_\!+\!2E_E_E^_E_\!-\!3E_E_E^_\\&+E^_E_E^_-2E_E^_E_E_\!-\!E_E_E_E_E_\!+\!E_E_E^_E_\\&-E_E_E^_+E^_E^_+E^_E^_E_-E^_E_E_E_\\&-2E_E_E^_+3E_E_E_E_+E_E^_E_-E^_E_+E^_,\\ D_=&E_D_. \end \right. \end$$

Appendix C

$P'_(s)=7qs^+6qn_s^+5qn_s^+4qn_s^+3qn_s^+2qn_s^+qn_s^$,

$P'_(s)\!=\!5qn_s^+4qn_s^+3qn_s^+2qn_s^$ $+qn_s^$,

$P'_(s)=3qn_s^+2qn_s^+qn_s^$,

$P'_(s)=qn_s^$.

Appendix D

$A'_(\omega )=7q\omega ^cos((7q-1)\pi /2)+6qn_\omega ^cos((6q-1)\pi /2)+5qn_\omega ^cos((5q-1)\pi /2)+4qn_\omega ^cos((4q-1)\pi /2)+3qn_\omega ^cos((3q-1)\pi /2)+2qn_\omega ^cos((2q-1)\pi /2)+qn_\omega ^cos((q-1)\pi /2),$

$B'_(\omega )=7q\omega ^sin((7q-1)\pi /2)+6qn_\omega ^sin((6q-1)\pi /2)+5qn_\omega ^sin((5q-1)\pi /2)+4qn_\omega ^sin((4q-1)\pi /2)+3qn_\omega ^$ $sin((3q-1)\pi /2)+2qn_\omega ^sin((2q-1)\pi /2)+qn_\omega ^sin((q-1)\pi /2),$

$A'_(\omega )=5qn_\omega ^cos((5q-1)\pi /2)+4qn_\omega ^cos((4q-1)\pi /2)+3qn_\omega ^cos((3q-1)\pi /2)+2qn_\omega ^cos((2q-1)\pi /2)+qn_\omega ^cos((q-1)\pi /2)$,

$B'_(\omega )=5qn_\omega ^sin((5q-1)\pi /2)+4qn_\omega ^sin((4q-1)\pi /2)+3qn_\omega ^sin((3q-1)\pi /2)+2qn_\omega ^sin((2q-1)\pi /2)+qn_\omega ^sin((q-1)\pi /2)$,

$A'_(\omega )=3qn_\omega ^cos((3q-1)\pi /2)+2qn_\omega ^cos((2q-1)\pi /2)+qn_\omega ^cos((q-1)\pi /2)$,

$B'_(\omega )=3qn_\omega ^sin((3q-1)\pi /2)+2qn_\omega ^sin((2q-1)\pi /2)+qn_\omega ^sin((q-1)\pi /2)$,

$A'_(\omega )=qn_\omega ^cos((q-1)\pi /2)$,

$B'_(\omega )=qn_\omega ^cos((q-1)\pi /2)$,

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Dynamic Behavior of Three-Layer Fractional-Order Neural Networks with Multiple Delays

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