# 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 ?
In this section, by virtue of designs of input controllers [u.sub.i](t) (especially concerning the first agent), two navigational protocols are established to ensure the formation control of multiagent systems with and without nonlinear dynamics, respectively.
Petrzela, "New class of chaotic systems with circular equilibrium," Nonlinear Dynamics, vol.
Chen, "Constructing a chaotic system with any number of equilibria," Nonlinear Dynamics. An International Journal of Nonlinear Dynamics and Chaos in Engineering Systems, vol.
Zhang, "Control of a class of fractional-order chaotic systems via sliding mode," Nonlinear Dynamics, vol.
Shen, "Finite-time synchronization between two complex-variable chaotic systems with unknown parameters via nonsingular terminal sliding mode control," Nonlinear Dynamics. An International Journal of Nonlinear Dynamics and Chaos in Engineering Systems, vol.
Ribeiro, "Stability of nonlinear periodic vibrations of 3D beams," Nonlinear Dynamics, vol.
For the nonlinear dynamic investigation of crack structures, many researchers considered cracks as open-crack models.
Consensus Tracking for the Second-Order Nonlinear Dynamics. Next, we discuss the second-order nonlinearity case.
Consider nonlinear dynamics system (1), if there are a constant [gamma] > 0, positive definite symmetric matrix [[bar.P].sub.1] and [[bar.P].sub.2], and matrix K such that the following LMI condition holds:
An example of a 6-node multiagent system with nonlinear dynamics and time delays is illustrated in Section 4.
Nonlinear Dynamics has previously worked with the group, and in August 2012 announced an agree-ment to co-develop a new analytical solution that derives information from complex data sets generated by large-scale experiments.
Figure 3 illustrates the robust nonlinear dynamics inversion regime on the NDI surface.
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