TY - JOUR
T1 - Generation of multi‐scroll chaotic attractors from a jerk circuit with a special form of a sine function
AU - Ding, Pengfei
AU - Feng, Xiaoyi
N1 - Publisher Copyright:
© 2020 by the authors. Licensee MDPI, Basel, Switzerland.
PY - 2020/5
Y1 - 2020/5
N2 - A novel chaotic system for generating multi‐scroll attractors based on a Jerk circuit using a special form of a sine function (SFSF) is proposed in this paper, and the SFSF is the product of a sine function and a sign function. Although there are infinite equilibrium points in this system, the scroll number of the generated chaotic attractors is certain under appropriate system parameters. The dynamical properties of the proposed chaotic system are studied through Lyapunov exponents, phase portraits, and bifurcation diagrams. It is found that the scroll number of the chaotic system in the left and right part of the x‐y plane can be determined arbitrarily by adjusting the values of the parameters in the SFSF, and the size of attractors is dominated by the frequency of the SFSF. Finally, an electronic circuit of the proposed chaotic system is implemented on Pspice, and the simulation results of electronic circuit are in agreement with the numerical ones.
AB - A novel chaotic system for generating multi‐scroll attractors based on a Jerk circuit using a special form of a sine function (SFSF) is proposed in this paper, and the SFSF is the product of a sine function and a sign function. Although there are infinite equilibrium points in this system, the scroll number of the generated chaotic attractors is certain under appropriate system parameters. The dynamical properties of the proposed chaotic system are studied through Lyapunov exponents, phase portraits, and bifurcation diagrams. It is found that the scroll number of the chaotic system in the left and right part of the x‐y plane can be determined arbitrarily by adjusting the values of the parameters in the SFSF, and the size of attractors is dominated by the frequency of the SFSF. Finally, an electronic circuit of the proposed chaotic system is implemented on Pspice, and the simulation results of electronic circuit are in agreement with the numerical ones.
KW - Electronic circuit implementation
KW - Jerk circuit
KW - Multi‐scroll attractors
KW - Special form of a sine function
UR - http://www.scopus.com/inward/record.url?scp=85085345391&partnerID=8YFLogxK
U2 - 10.3390/electronics9050842
DO - 10.3390/electronics9050842
M3 - 文章
AN - SCOPUS:85085345391
SN - 2079-9292
VL - 9
JO - Electronics (Switzerland)
JF - Electronics (Switzerland)
IS - 5
M1 - 842
ER -