chaos theory

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Related to Chaotic systems: Chaos theory

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.
References in periodicals archive ?
Mou, and Yuan-Long Cai, "Pseudo-random bit generator based on couple chaotic systems and its application in stream-ciphers cryptography," in Proc.
* Experiments and simulations were carried out for both discrete and continuous time chaotic systems.
The control objective of this work is to design a proper adaptive controller u(t) to synchronize the above chaotic systems (9) and (10) with the tracking error signal
This paper has studied Q-S synchronization of fractionalorder discrete-time chaotic systems of different dimensions.
Chen, "Control of a novel class of fractional-order chaotic systems via adaptive sliding mode control approach," Applied Mathematical Modelling, vol.
Yv, Chaotic Systems and Chaotic Circuit: Principle, Design and Its Application in Communications, Xidian University Publishing House, Xi'an, China, 2011.
Abarbanel, "Generalized synchronization of chaos in directionally coupled chaotic systems," Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, vol.
According to pseudorandomness, sensitivity to an initial value, the predictive difficulty of a chaotic system, and the chaotic sequence can achieve the same encryption effect with a one-time pad as a random key, and in theory it is not broken.
Complexity measure is an important reference to measure dynamics of a chaotic system. If a chaotic system is used in information security, it can reflect the security of the system to some extent.
Petras, "Methods for simulation of the fractional order chaotic systems," Acta montanastica Slovaca, vol.
Financial markets are extremely chaotic systems, despite the fact that no end of pundits are lined up every day who will tell you exactly what is going to happen next.