Nonchaotic behaviour in three-dimensional quadratic systems II. The conservative case
- 1 January 1999
- journal article
- Published by IOP Publishing in Nonlinearity
- Vol. 12 (3), 617-633
- https://doi.org/10.1088/0951-7715/12/3/012
Abstract
It is shown that almost all three-dimensional conservative quadratic systems of ordinary differential equations with a total of four terms on the right-hand side of the equations do not exhibit chaos. A previous paper showed the same thing for dissipative systems. PACS Number: 0545Keywords
This publication has 5 references indexed in Scilit:
- Time-reversal symmetry in dynamical systems: A surveyPhysica D: Nonlinear Phenomena, 1998
- Non-chaotic behaviour in three-dimensional quadratic systemsNonlinearity, 1997
- Simplest dissipative chaotic flowPhysics Letters A, 1997
- Remark on ‘‘Some simple chaotic flows’’Physical Review E, 1995
- Some simple chaotic flowsPhysical Review E, 1994