A kind of generalized Hamiltonian systems with dissipative structure and external input is proposed. By configuring its structure matrix and external input, a simpler three-dimensional dynamical system with only one fixed point is designed to illustrate the existence of chaos. Useful tools, including phase portrait, Poincaré section, Lyapunov exponents, bifurcation diagram and power spectrum, are used for detecting chaotic behavior of the proposed system with the enhancement of DC input. Compared with the known three-dimensional chaotic systems, the proposed system has the following two characteristics: Its dissipativity is related to system state variables and its Lyapunov dimension is closer to 3. Finally, a circuit implementation of the new system is presented and the results recorded on an analogue oscilloscope further verify the existence of chaotic behavior.
CANG Shijian
,
WU Aiguo
,
WANG Zhonglin
,
XUE Wei
,
CANG Shijian
,
WU Aiguo
,
WANG Zhonglin
,
XUE Wei
. Chaotic Behavior of a Generalized Hamiltonian System and Its Circuit Implementation[J]. Complex Systems and Complexity Science, 2017
, 14(1)
: 103
-110
.
DOI: 10.13306/j.1672-3813.2017.01.015
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