Abstract:

Introduces so-called "quasi-dissipative systems" and their main characteristics with two sample systems. In such systems regular or chaotic quasi-attractors may appear, which can attract the iterations outside. However, as soon as the iterations reach the quasi-attractors, they perform typical conservative motion. There can be "type V quasi-intermittency" in the systems. Also, when a suitable parameter changes the system can display a continuous transition from a typical conservative system to a system that is very similar to a dissipative one. More characteristic properties are being studied and will be reported soon.

Key words: area-preserving map, dissipative system, conservative system, attractor, type V intermittency