# chaos theory

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## chaos theory

a branch of mathematics that seeks to predict widespread effects of small (or minute) and possibly remote triggering events; the unpredictable course of some epidemics and malignant metastases may accord with chaos theory.

## chaos theory

The mathematical conception that some phenomena that seem random may be of a deterministic order highly sensitive to initial conditions and perturbations. There is a growing appreciation that chaos may be a feature of many biological systems and that chaos theory may prove to have many applications in medicine.
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The multiple chaotic systems which consist of the tent chaotic map (1), the piecewise linear chaotic map (2) and the Chen's high-dimension hyper-chaotic system (3) are utilized to enlarge the key space and perform the complex dynamic behavior.
ii) Small variation in initial conditions in chaotic system provides great changes in the output dynamic, which benefits the number of keys that could be used for encryption.
To demonstrate the effectiveness of the improved algorithm, the algorithm is used to estimate parameters of Lorenz chaotic system [23] and Chen chaotic system [24].
We designed and suggested on base of fuzzy logic T-S(TakagiSugeno fuzzy control techniques) a controller and applied this fuzzy controller on chaotic system and monitored behavior of the system.
i] that is generated by chaotic systems and select the digits of the variables in the fixed position.
The sensitivity to initial conditions means predicting the behaviour of a chaotic system is difficult, and becomes more difficult over time.
The question might be adapted for the chaotic system in mechanics as follows.
If Dr Watkins looked more carefully at the IPCC reports he would find the following paragraph: "In climate research and modelling, we should recognise that we are dealing with a coupled non-linear chaotic system, and therefore that the long-term prediction of future climate states is not possible.
The remainder of this paper is as follows: Section 2 presents a basic comparison between Qi hyper-chaos and Lorenz chaotic system.
Only getting more money directly to vulnerable students will ensure they get the real help they need to navigate the chaotic system ministers have put in place.
Key words: static neural network, adaptive activation function, prediction, nonlinear chaotic system

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