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.
References in periodicals archive ?
In the following, on the basis of models (4) and (5), the formation controls of multiagent system with linear and nonlinear dynamics are considered according to consensus principle of multiagent network.
Bao, "Multistability induced by two symmetric stable node-foci in modified canonical Chua's circuit," Nonlinear Dynamics, vol.
Srinivasan, "FPGA implementation of novel fractional-order chaotic systems with two equilibriums and no equilibrium and its adaptive sliding mode synchronization," Nonlinear Dynamics. An International Journal of Nonlinear Dynamics and Chaos in Engineering Systems, vol.
Ma, "Modified projective synchronization of fractional-order chaotic systems via active sliding mode control," Nonlinear Dynamics, vol.
Chen, "Finite-time combination-combination synchronization of four different chaotic systems with unknown parameters via sliding mode control," Nonlinear Dynamics. An International Journal of Nonlinear Dynamics and Chaos in Engineering Systems, vol.
Xing, "Nonlinear vibration of plane structures by finite element and incremental harmonic balance method," Nonlinear Dynamics, vol.
Kitipornchai, "Nonlinear dynamic response of a functionally graded plate with a through-width surface crack," Nonlinear Dynamics, vol.
Consensus Tracking for the First-Order Nonlinear Dynamics. We start by considering the first-order nonlinearity case: N followers labeled as l, 2, ..., N are described by the following first-order nonlinear ordinary differential equation:
Consider nonlinear dynamics system (1) with the switching function; the trajectories of the nonlinear dynamics system converge to the quasi-sliding manifold if the controller u(t) is given by
Although plenty of researches on consensus problem have been carried out in respect of nonlinear dynamics, very few have at the same time addressed the time delays that are also crucial and unavoidable in the systems.
"The work we have been doing in the field of laboratory data analysis has put Nonlinear Dynamics at the cutting edge of our industry and this acquisition underlines our progress.
Hence, the original nonlinear dynamics are replaced with the desired dynamics.

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