chaotic behavior


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chaotic behavior

[kā′äd·ik bi′hā·vyər]
(mechanics)
The behavior of a system whose final state depends so sensitively on the system's precise initial state that the behavior is in effect unpredictable and cannot be distinguished from a random process, even though it is strictly determinate in a mathematical sense. Also known as chaos.
References in periodicals archive ?
Numerical Chaotic Behavior of the Fractional Rikitake System World Journal of Modelling and Simulation Vol.
9999 that corresponds to a highly chaotic case [19, 20], Indeed, the Lyapunov exponent [21, 22] measures the chaotic behavior of a function and the corresponding Lyapunov exponent of the logistic map for [beta] = 3.
702) and then fluctuated around this value, chaotic behavior was indicated.
However, in some case, the robust chaotic behavior may be utilized to improve the performance of power converters, for example, to improve electromagnetic compatibility [3], [4] or reduce the electromagnetic interference(EMI), while the intermittency chaotic regions of operation should be avoided.
Hence, it is important to mention that using the geometry of the proposed system with smooth surfaces for modeling a classical waveguide, usually leads to chaotic behavior in the trajectories of the particles that are transported through it.
where u is the control parameter, and Logistic map will exhibit chaotic behavior when 3.
Government spokesman Ali Fahad al-Rashid, speaking after an emergency government meeting, quoted the emir as denouncing the parliament protest as threatening the country's "security and stability" and calling for "stricter measures to confront this chaotic behavior.
Therefore, national responsibility calls for stricter measures to confront this chaotic behavior.
An optimization algorithm based on chaotic behavior and fractal nature".
Cvitanovic, 1989) that chaotic behavior can be found among many different phenomena, whether these be physical (such as turbulence flow or the convection diagram of a fluid heated from below), chemical (e.
In this paper, we give sufficient conditions for stability of equilibrium points of adaptive Control with two controllers which control the chaotic behavior of Lu's system to its equilibrium points.
Often, students who return to an addicted family unit have been away just long enough for memories of the family's chaotic behavior to have been eroded by time.