TY - GEN
T1 - Nonlinear Mapping Convergence and Application to Social Networks
AU - Anderson, Brian D.O.
AU - Ye, Mengbin
N1 - Publisher Copyright:
© 2018 European Control Association (EUCA).
PY - 2018/11/27
Y1 - 2018/11/27
N2 - This paper discusses nonlinear discrete-time maps of the form x(k+1)=F(x(k)), focussing on equilibrium points of such maps. Under some circumstances, Lefschetz fixed-point theory can be used to establish the existence of a single locally attractive equilibrium (which is sometimes globally attractive) when a general property of local attractivity is known for any equilibrium. Problems in social networks often involve such discrete-time systems, and we make an application to one such problem.
AB - This paper discusses nonlinear discrete-time maps of the form x(k+1)=F(x(k)), focussing on equilibrium points of such maps. Under some circumstances, Lefschetz fixed-point theory can be used to establish the existence of a single locally attractive equilibrium (which is sometimes globally attractive) when a general property of local attractivity is known for any equilibrium. Problems in social networks often involve such discrete-time systems, and we make an application to one such problem.
UR - http://www.scopus.com/inward/record.url?scp=85055774442&partnerID=8YFLogxK
U2 - 10.23919/ECC.2018.8550197
DO - 10.23919/ECC.2018.8550197
M3 - Conference contribution
T3 - 2018 European Control Conference, ECC 2018
SP - 557
EP - 562
BT - 2018 European Control Conference, ECC 2018
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 16th European Control Conference, ECC 2018
Y2 - 12 June 2018 through 15 June 2018
ER -