Title :
Hopf-like bifurcation in cellular neural networks
Author :
Zou, Fan ; Nossek, Josef A.
Author_Institution :
Inst. for Network Theory & Circuit Design, Tech. Univ. of Munich, Germany
Abstract :
Bifurcation phenomena in cellular neural networks are investigated. In a two-cell autonomous system, Hopf-like bifurcation has been found, at which the flow around the origin, an equilibrium point of the system, changes from asymptotically stable to periodic. As the parameter grows further, by reaching another bifurcation value, the generated limit cycle disappears and the network becomes convergent again
Keywords :
asymptotic stability; bifurcation; cellular neural nets; limit cycles; Hopf-like bifurcation; bifurcation value; cellular neural networks; convergent network; equilibrium point; limit cycle; periodic flow; two-cell autonomous system; Bifurcation; Cellular neural networks; Chaos; Circuit synthesis; Equations; Intelligent networks; Limit-cycles; Nonlinear dynamical systems; Stability; Voltage;
Conference_Titel :
Circuits and Systems, 1993., ISCAS '93, 1993 IEEE International Symposium on
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-1281-3
DOI :
10.1109/ISCAS.1993.394245
