TY - JOUR

T1 - Dynamics of the Zeraoulia-Sprott map revisited

AU - Chen, Guanrong

AU - Kudryashova, Elena V.

AU - Kuznetsov, Nikolay V.

AU - Leonov, Gennady A.

PY - 2016/6/30

Y1 - 2016/6/30

N2 - In the paper "Some Open Problems in Chaos Theory and Dynamics" by Zeraoulia and Sprott, the two-dimensional map (x,y) →(-ax(1 + y2)-1,x + by) was considered and the problem on the analytical study of the boundedness of its attractors was formulated. In the present paper, the boundedness of its attractors is studied, the corresponding analytical estimation of absorbing set is obtained, and thus an answer to the problem is given.

AB - In the paper "Some Open Problems in Chaos Theory and Dynamics" by Zeraoulia and Sprott, the two-dimensional map (x,y) →(-ax(1 + y2)-1,x + by) was considered and the problem on the analytical study of the boundedness of its attractors was formulated. In the present paper, the boundedness of its attractors is studied, the corresponding analytical estimation of absorbing set is obtained, and thus an answer to the problem is given.

KW - Chaotic map

KW - discrete-time dynamical system

KW - global attractor

KW - localization

UR - http://www.scopus.com/inward/record.url?scp=84978818272&partnerID=8YFLogxK

U2 - 10.1142/S0218127416501261

DO - 10.1142/S0218127416501261

M3 - Article

AN - SCOPUS:84978818272

VL - 26

JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

SN - 0218-1274

IS - 7

M1 - 1650126

ER -