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  2. Bode plot - Wikipedia

    en.wikipedia.org/wiki/Bode_plot

    It is usually a combination of a Bode magnitude plot, expressing the magnitude (usually in decibels) of the frequency response, and a Bode phase plot, expressing the phase shift. As originally conceived by Hendrik Wade Bode in the 1930s, the plot is an asymptotic approximation of the frequency response, using straight line segments .

  3. Boole's rule - Wikipedia

    en.wikipedia.org/wiki/Boole's_rule

    (defun integrate-composite-booles-rule (f a b n) "Calculates the composite Boole's rule numerical integral of the function F in the closed interval extending from inclusive A to ...

  4. Spectral density - Wikipedia

    en.wikipedia.org/wiki/Spectral_density

    For transfer functions (e.g., Bode plot, chirp) the complete frequency response may be graphed in two parts: power versus frequency and phase versus frequency—the phase spectral density, phase spectrum, or spectral phase. Less commonly, the two parts may be the real and imaginary parts of the transfer function.

  5. Root locus analysis - Wikipedia

    en.wikipedia.org/wiki/Root_locus_analysis

    The following Python code can also be used to calculate and plot the root locus of the closed-loop transfer function using the Python Control Systems Library [14] and Matplotlib [15]. import control as ct import matplotlib.pyplot as plt # Define the transfer function sys = ct .

  6. Predicted Aligned Error - Wikipedia

    en.wikipedia.org/wiki/Predicted_Aligned_Error

    Interpretation of PAE values allows scientists to understand the level of confidence in the predicted structure of a protein: Lower PAE values between residue pairs from different domains indicate that the model predicts well-defined relative positions and orientations for those domains.

  7. Nichols plot - Wikipedia

    en.wikipedia.org/wiki/Nichols_plot

    The Nichols plot is a plot used in signal processing and control design, named after American engineer Nathaniel B. Nichols. [ 1 ] [ 2 ] [ 3 ] It plots the phase response versus the response magnitude of a transfer function for any given frequency, and as such is useful in characterizing a system's frequency response .

  8. Hendrik Wade Bode - Wikipedia

    en.wikipedia.org/wiki/Hendrik_Wade_Bode

    Hendrik Wade Bode (/ ˈ b oʊ d i / BOH-dee, Dutch:; [1] December 24, 1905 – June 21, 1982) [1] was an American engineer, researcher, inventor, author and scientist, of Dutch ancestry. As a pioneer of modern control theory and electronic telecommunications he revolutionized both the content and methodology of his chosen fields of research.

  9. Bifurcation diagram - Wikipedia

    en.wikipedia.org/wiki/Bifurcation_diagram

    Symmetry breaking in pitchfork bifurcation as the parameter ε is varied. ε = 0 is the case of symmetric pitchfork bifurcation.. In a dynamical system such as ¨ + (;) + =, which is structurally stable when , if a bifurcation diagram is plotted, treating as the bifurcation parameter, but for different values of , the case = is the symmetric pitchfork bifurcation.