In a plot twist absolutely no one needed, Michael Avenatti wormed his way into the Nxivm sex cult case on Wednesday, apparently having attempted to insert himself onto Clare Bronfman's defense team. Bronfman, of course, is the Seagrams liquor heiress accused of bankrolling the fraudulent "self-help" group; Avenatti, as you're doubtless aware, is the former Stormy Daniels attorney accused of attempting to extort upwards of $20 million from Nike. [ more › ] Gothamist https://ift.tt/2HIU9xr March 28, 2019 at 10:03PM
Van der Pol’s differential equation is The equation describes a system with nonlinear damping, the degree of damping given by μ. If μ = 0 the system is linear and undamped, but for positive μ the system is nonlinear and damped. We will plot the phase portrait for the solution to Van der Pol’s equation in Python using SciPy’s new ODE solver ivp_solve . The function ivp_solve does not solve second-order systems of equations directly. It solves systems of first-order equations, but a second-order differential equation can be recast as a pair of first-order equations by introducing the first derivative as a new variable. Since y is the derivative of x , the phase portrait is just the plot of ( x , y ). If μ = 0, we have a simple harmonic oscillator and the phase portrait is simply a circle. For larger values of μ the solutions enter limiting cycles, but the cycles are more complicated than just circles. Here’s the Python code that made the plot. from scipy import linspace from ...
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