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Existence of chaos in a one-degree-of-freedom system

✍ Scribed by B.H. Tongue

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
519 KB
Volume
110
Category
Article
ISSN
0022-460X

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✦ Synopsis

A single-degree-of-freedom system with both a linear and a cubic non-linear spring term is examined. The system is shown to exhibit periodic and chaotic motions. The existence of chaos is discussed and possible qualitative explanations for the chaos are examined. It is shown that multiple static equilibria are not a necessary requirement for chaos to occur. Some introductory tutorial material is included in the presentation to assist engineering readers who may be unfamiliar with the subject.

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Existence of chaos in two-prey, one-pred
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✍ Sunita Gakkhar; Ra’id Kamel Naji πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 189 KB

A two-prey, one-predator model incorporating nonlinear functional response is investigated analytically as well as numerically. The system appears to exhibit chaos for a range of parametric values when long time behavior studied.