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We propose a minimal coupled map lattice (CML) for the spiral patternformation in astronomical objects which consist of accreting gas induced bygravity as a long-range force. In the proposed CML, we assume only twoprocedures: one in which the flow of gas particles occurs by gravity andanother one in which the collision of gas particles occurs by advection in theflow. In spite of its simplicity, the numerical simulation of the proposed CMLshows a new formation process in which grand design spiral patterns appear dueto gas ejection from a central star. Several aspects of the formation processare indeed in good agreement with the results of conventional theories andobservations. This agreement and the observations of outflows should suggestthat the above gas ejection can happen and lead to the formation of granddesign spiral patterns, in actual spiral galaxies and protoplanetary disks.

Coupled map lattice for the spiral pattern formation in astronomical objects