A new eight-term 3-D polynomial chaotic system with three quadratic nonlinearities. (English) Zbl 1303.34010
Summary: A new eight-term 3-D polynomial chaotic system with three quadratic nonlinearities is derived. The basic qualitative properties of the new chaotic system are studied and discussed in detail. The new chaotic system has three equilibria. Qualitative analysis shows that one equilibrium at the origin is a saddle-point and the other two equilibria are saddle focus nodes. The Lyapunov exponents and Lyapunov dimension for the new chaotic system are derived. MATLAB simulations are shown to detail the properties of the new chaotic system.
MSC:
| 34A34 | Nonlinear ordinary differential equations and systems |
| 34C28 | Complex behavior and chaotic systems of ordinary differential equations |
| 34D08 | Characteristic and Lyapunov exponents of ordinary differential equations |
