The shape of attractors for 3-D dissipative dynamical systems
نویسندگان
چکیده
We introduce a new method to bound attractors of dissipative dynamical systems in phase and parameters spaces. The method is based on the determination of families of transversal surfaces (surfaces crossed by the ow in only one direction). This technique yields very restrictive geometric bounds in phase space for the attractors. It also gives ranges of parameters of the system for which no chaotic behaviour is possible. We illustrate our method on di erent 3-D dissipative systems. P.A.C.S. numbers : 05.45.-a / 05.45.ac / 02.30.Hq
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