Complex behavior from a simple physical system: A numerical investigation

Details Complex behavior from a simple physical system: A numerical investigation Complex behavior from a simple physical system: A numerical investigation

2003-03-27

arxiv.org/abs/nlin/0303065v1

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

In this paper, the familiar problems of free-fall motion and simple harmonic
motion (SHM) are combined. The novel composite system passes from regular to
chaotic behavior for increasing values of energy $E$. This system is a suitable
example to introduce undergraduates to some of the concepts of dynamical chaos
theory.

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