ERRATUM: Non-chaotic behaviour in three-dimensional quadratic systems

It is shown that three-dimensional dissipative quadratic systems of ordinary differential equations with a total of four terms on the right-hand side of the equations do not exhibit chaos. This complements recent work of Sprott who has given many examples of chaotic quadratic systems with as few as five terms on the right-hand side of the equations. PACS Number: 0545

[1]  O. Rössler An equation for continuous chaos , 1976 .

[2]  Julien Clinton Sprott,et al.  Simplest dissipative chaotic flow , 1997 .

[3]  Hoover Remark on "Some simple chaotic flows" , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[4]  A. Polyanin,et al.  Handbook of Exact Solutions for Ordinary Differential Equations , 1995 .

[5]  J. Sprott,et al.  Some simple chaotic flows. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[6]  S. Wiggins Introduction to Applied Nonlinear Dynamical Systems and Chaos , 1989 .

[7]  E. Lorenz Deterministic nonperiodic flow , 1963 .

[8]  P. Hartman Ordinary Differential Equations , 1965 .