期刊名称：Hyperseeing / The International Society of the Arts, Mathematics, and Architecture
出版年度：2010
卷号：2010
期号：Summer
出版社：Albany, NY : Isama
摘要：Fractals have long been used to study both discrete and continuous dynamical systems. Not only have they been
used to draw conclusions about otherwise intractable chaotic dynamics, they have been a source of striking imagery
that has deeply affected many fields including physics, mathematics, art and design. This paper explores a class of
sets whose structure depends on the penetration of some force boundary. These sets arise from continuous ODE’s
involving physical forces, including coupled oscillators and the Lennard-Jones potential. Several properties of the
system are explored, including collections of periodic trajectories that influence the geometry of the barrier
diagrams. One of the common features of the sets under consideration here is their incidental and stylistic
resemblance to certain natural objects.
