SOME SIMPLE CHAOTIC FLOWS - REMARK

Sprott [Phys. Rev. E 50, 647 (1994)] developed a computerized search method and applied it to generate millions of sets of coupled chaotic ordinary differential equations. Each of the sets contained three coupled quadratic equations. Of these, the simplest, Sprott's case A, is the set of equations that Posch, Hoover, and Vesely [Phys. Rev. A 33, 4253 (1986)] used to describe a single one-dimensional Nosé-Hoover oscillator. In this sense, the Nosé-Hoover oscillator system is the simplest mechanical system exhibiting chaos. © 1995 The American Physical Society.