id: 06094901
dt: j
an: 06094901
au: Chang, Yen Chih; Wang, Gen-Qiang; Cheng, Sui Sun
ti: Complete set of periodic solutions of a discontinuous recurrence equation.
so: J. Difference Equ. Appl. 18, No. 7, 1133-1162 (2012).
py: 2012
pu: Taylor \& Francis, Abingdon, Oxfordshire
la: EN
cc: 
ut: nonlinear recurrence relation; heaviside function; neural network; steady
    state; periodic sequence; prime period
ci: 
li: doi:10.1080/10236198.2011.552502
ab: Summary: A nonlinear three-term recurrence relation arising from seeking
    the steady states of a cellular neural network with bang-bang control
    is studied. We show that each solution is periodic and its prime period
    can be determined by three of its consecutive terms. By means of this
    periodicity property, we may then solve the steady state problem which
    to our knowledge is not solved by other means.
rv: