Flow in Three-dimensional Phase Space Flow Mappings as Representation of Flow R
نویسنده
چکیده
Understanding flow in the three-dimensional phase space is challenging both to human experts and current computer science technology. To break through the barrier, we are building a program called PSX3 that can autonomously explore the flow in a three-dimensional phase space, by integrating AI and numerical techniques. In this paper, I point out that quasi-symbolic representation called flow mappings is effective as a means of capturing qualitative aspects of three-dimensional flow and present a method of generating flow mappings for a system of ordinary differential equations with three unknown functions. The method is based on a finding that geometric cues for generating a set of flow patterns can be classified into five categories. I demonstrate how knowledge about interaction of geometric cues is utilized for intelligently controlling numerical computation. Flow in Three-Dimensional Phase Space In this paper, we consider qualitative behavior of systems of ODES of the form:
منابع مشابه
Generating Quasi-symbolic Representation of Three-Dimensional Flow
Understanding flow in the three-dimensional phase space is challenging both to human experts and to current computer science technology . To break through the barrier, we are building a program called PSX3 that can autonomously explore the flow in a three-dimensional phase space, by integrating Al and numerical techniques . In this paper, I point out that quasi-symbolic representation called fl...
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