TY - JOUR
T1 - A symmetric pair of hyperchaotic attractors
AU - Li, Chunbiao
AU - Akgul, Akif
AU - Sprott, Julien Clinton
AU - Iu, Herbert H.C.
AU - Thio, Wesley Joo Chen
PY - 2018/12/1
Y1 - 2018/12/1
N2 - A symmetric pair of hyperchaotic attractors based on the 4-D Rössler system is constructed by adjusting the polarity information of some of its variables. By introducing a plane of equilibria into this system, an attractor and a repellor can be bridged. As a result, the proposed system is revised to be time-reversible, and one of the coexisting attractors can be extracted. Therefore, two coexisting hyperchaotic attractors can be captured separately in an electric circuit without an external circuit to set initial conditions, which has not been previously reported.
AB - A symmetric pair of hyperchaotic attractors based on the 4-D Rössler system is constructed by adjusting the polarity information of some of its variables. By introducing a plane of equilibria into this system, an attractor and a repellor can be bridged. As a result, the proposed system is revised to be time-reversible, and one of the coexisting attractors can be extracted. Therefore, two coexisting hyperchaotic attractors can be captured separately in an electric circuit without an external circuit to set initial conditions, which has not been previously reported.
KW - hyperchaotic attractor
KW - hyperchaotic repellor
KW - Rössler system
KW - symmetric pair of coexisting attractors
UR - http://www.scopus.com/inward/record.url?scp=85053717023&partnerID=8YFLogxK
U2 - 10.1002/cta.2569
DO - 10.1002/cta.2569
M3 - Article
AN - SCOPUS:85053717023
VL - 46
SP - 2434
EP - 2443
JO - International Journal of Circuit Theory and Applications
JF - International Journal of Circuit Theory and Applications
SN - 0098-9886
IS - 12
ER -