A New Feature in Some Quasi-discontinuous Systems

Details A New Feature in Some Quasi-discontinuous Systems A New Feature in Some Quasi-discontinuous Systems

1999-11-27

arxiv.org/abs/chao-dyn/9912001v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, Revtex, with 4 eps figures

Scientific paper

Many systems can display a very short, rapid changing stage (quasi-discontinuous region) inside a relatively very long and slowly changing process. A quantitative definition for the "quasi-discontinuity" in these systems has been introduced. We have shown by a simplified model that extra-large Feigenbaum constants can be found inside some period-doubling cascades due to the quasi-discontinuity. As an example, this phenomenon has also been observed in Rose-Hindmash model describing neuron activities.

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