Abstract
This article presents a new hyperchaotic system of four-dimensional quadratic autonomous ordinary differential equations, which has one equilibrium point and two quadratic nonlinearities. Some basic dynamical properties are further investigated by means of Poincaré mapping, parameter phase portraits, and calculated Lyapunov exponents and power spectra. The existence of the hyperchaotic system is verified not only by theoretical analysis but also by conducting a novel fourth-order electronic circuit experiment. Various attractors of experimental results show that this 4D hyperchaotic system is different from the historically proposed system and has good engineering application prospects.
| Original language | English |
|---|---|
| Pages (from-to) | 707-715 |
| Number of pages | 9 |
| Journal | Nonlinear Dynamics |
| Volume | 66 |
| Issue number | 4 |
| DOIs | |
| State | Published - Dec 2011 |
Keywords
- Circuit implementation
- Hyperchaotic system
- Lyapunov exponent
- Poincaré map
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