TY - JOUR
T1 - Controlling in between the Lorenz and the Chen systems
AU - Lü, Jinhu
AU - Chen, Guanrong
AU - Zhang, Suochun
PY - 2002/6
Y1 - 2002/6
N2 - This letter investigates a new chaotic system and its role as a joint function between two complex chaotic systems, the Lorenz and the Chen systems, using a simple variable constant controller. With the gradual tuning of the controller, the controlled system evolves from the canonical Lorenz attractor to the Chen attractor through the new transition chaotic attractor. This evolving procedure reveals the forming mechanisms of all similar and closely related chaotic systems, and demonstrates that a simple control technique can be very useful in generating and analyzing some complex chaotic dynamical phenomena.
AB - This letter investigates a new chaotic system and its role as a joint function between two complex chaotic systems, the Lorenz and the Chen systems, using a simple variable constant controller. With the gradual tuning of the controller, the controlled system evolves from the canonical Lorenz attractor to the Chen attractor through the new transition chaotic attractor. This evolving procedure reveals the forming mechanisms of all similar and closely related chaotic systems, and demonstrates that a simple control technique can be very useful in generating and analyzing some complex chaotic dynamical phenomena.
KW - Chaos
KW - Chen's system
KW - Critical system
KW - Lorenz system
UR - http://www.scopus.com/inward/record.url?scp=0036600065&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0036600065&origin=recordpage
U2 - 10.1142/S0218127402005200
DO - 10.1142/S0218127402005200
M3 - RGC 21 - Publication in refereed journal
SN - 0218-1274
VL - 12
SP - 1417
EP - 1422
JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
IS - 6
ER -