Chaos Theory

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Chaos Theory

A theory stating that seemingly unrelated events affect each other in a predictable, mathematical way. In investing, chaos theory is used to predict future stock prices using information that does not seem to affect prices directly, such as trading volume and trader sentiment. Computing these factors using chaos theory is as complex as it is controversial.
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.
Selected benchmark functions and engineering problems where cs(t) is random sequence obtained by chaotic system function.
The slave system of a fractional-order chaotic system with unknown disturbances via T-S fuzzy model is given as
This paper has studied Q-S synchronization of fractionalorder discrete-time chaotic systems of different dimensions.
Idowu, "Adaptive backstepping control, synchronization and circuit simulation of a 3-D novel jerk chaotic system with two hyperbolic sinusoidal nonlinearities," Archives of Control Sciences, vol.
The Jacobi matrix [J.sub.A] of the new four-wing memristive chaotic system at the equilibrium point set is got:
Caption: Figure 1: The attractor of the Chen chaotic system.
According to the variation of the system dynamics, it is found that the fractional-order hyperchaotic system has better application prospect than its corresponding integer-order chaotic system in the field of chaotic secure communication.
Numerical analysis and methods for simulating fractional order nonlinear system are proposed by Petras [18] and MATLAB solutions for fractional order chaotic systems, discussed by Trzaska Zdzislaw [19].
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.