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Large-scale fuzzy multiple-medoid clustering method
Journal of Intelligent & Fuzzy Systems, 2016As one of feasible clustering techniques for large-scale data, incremental fuzzy clustering, which copes with data in chunks, has triggered more attentions in recent years. The existing methods, such as online fuzzy C -medoids (OFCMd) and history-based online fuzzy C
Aiguo Chen +3 more
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Method of multiple scales in quantum optics
Physics Reports, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Multiple Time Scale Methods and Gyrotrons
1987Abstract : Objectives were to complete a study of one-dimensional electrostatic plasmas using the discrete Hamiltonian method, and to construct a model of ridged high harmonic gyrtron oscillators using standard gyrotron modeling techniques. Ridged gyrotrons appear ideal for the future application of the multiple time scale, discrete Hamiltonian method.
Peter Vitello, Curtic R. Menyuk
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Computer-based rating method for evaluating multiple visual stimuli on multiple scales
Computers in Human Behavior, 2008In this research, two joint evaluation rating methods (focus-on-attribute and drag-and-drop) and a separate evaluation rating method (focus-on-stimulus) are proposed for rating multiple visual stimuli with respect to multiple scales. All three interactive methods incorporate a real-time adjusting mechanism, allowing respondents to interactively adjust ...
Chuang, Y., Chen, L.-L., Chuang, M.-C.
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Extrapolated Multirate Methods for Differential Equations with Multiple Time Scales
Journal of Scientific Computing, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Emil M. Constantinescu, Adrian Sandu
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Method of multiple scales and identification of nonlinear structuraldynamic systems
24th Structures, Structural Dynamics and Materials Conference, 1983A procedure is developed to identify the parameters of a nonlinear structural dynamic system with a single degree of freedom. A cubic nonlinearity is assumed for purposes of illustration. In comparison to the direct identification procedures, which depend on either the availability of data on all four variables, namely, velocity, acceleration ...
Hanagud, S. V. +2 more
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Nonlinear Optimal Control Problems and the Method of Multiple Scales
IMA Journal of Mathematical Control and Information, 1989Summary: The method of multiple scales is used to obtain an approximate solution to the problem of the optimal control of a second-order differential equation containing a small nonlinearity. Applications are made to the Duffing and van der Pol equations.
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The Multiple Scales Method, Homoclinic Bifurcation and Melnikov's Method for Autonomous Systems
International Journal of Bifurcation and Chaos, 1998Melnikov's method is a well-established technique for detecting homoclinic bifurcation of perturbed autonomous or forced systems. This method uses a regular perturbation expansion in terms of a small parameter in the system. Whilst the approach correctly estimates the parameter values for the bifurcation and transverse intersections of separatrices ...
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THE KBM DERIVATIVE EXPANSION METHOD IS EQUIVALENT TO THE MULTIPLE-TIME-SCALES METHOD
Journal of Sound and Vibration, 1997Summary: Several perturbation methods are commonly used to predict the free and forced response of weakly non-linear oscillators. The Krylov-Bogoliubov-Mitropolsky (KBM) and multiple-time-scales (MTS) methods use expansions of dependent variables, ordinary time derivatives, and some system parameters to convert the equations of motion into a set of ...
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The Method of Multiple Scales and the ∈-Power Series
1998The perturbation strategy known as the “method of multiple scales” lies at the heart of solitary wave theory. First, it is the vehicle by which three-dimensional reality is approximated by one-dimensional models such as the Korteweg-deVries equation. One might call this “reduction of dimension”.
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