Julia Sets

Generative eBooks — 2016-06-08T13:09:18Z

Turing's patterns

Generative eBooks — 2016-06-08T13:08:35Z

It is obvious that many natural phenomena are not captured by differential equations because there are changes both in time and space. Mathematically, this means that we have to consider partial differential equations. In the so-called reaction-diffusion equations, there are local reactions in which the substances are transformed into each other and can be degraded, and diffusion which causes the substances to spread out in space. Such equations display a wide range of behaviors, such as (…)

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A discrete-time prey-predator model

Generative eBooks — 2016-06-08T13:07:41Z

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