Interactive exploration of dynamical systems

Eduard Groeller

doi:10.1117/12.205944

7 April 1995 Interactive exploration of dynamical systems

Eduard Groeller

Proceedings Volume 2410, Visual Data Exploration and Analysis II; (1995) https://doi.org/10.1117/12.205944
Event: IS&T/SPIE's Symposium on Electronic Imaging: Science and Technology, 1995, San Jose, CA, United States

Abstract

Nonlinear deterministic dynamical systems often exhibit complex and chaotic behavior which is difficult to comprehend. Visualizing the characteristics of such systems is therefore essential for an understanding of the underlying dynamics. In this paper concepts for the interactive graphical exploration of analytically defined dynamical systems are discussed. Emphasis is put on interactivity which shall facilitate the investigation and exploration of such systems. The following topics on dynamical systems are treated in more detail: interactive specification, simple and fast graphical representation, and interactive modification. The paper concentrates on 2D and 3D orthographic projections of higher-dimensional phase spaces and on the display of bifurcation diagrams. A prototype software system which incorporates the previously presented ideas is shortly discussed. The software system is intended to offer a quick insight into the dynamics of a dynamical system and to enable fast investigation of variations of a dynamical system.

Citation Download Citation

Eduard Groeller "Interactive exploration of dynamical systems", Proc. SPIE 2410, Visual Data Exploration and Analysis II, (7 April 1995); https://doi.org/10.1117/12.205944

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