Governor Andrew Cuomo and challenger Cynthia Nixon sparred for an hour last night at Hofstra University on Long Island, where each candidate seemed determined to pack as much vitriol as they could into their only debate ahead of the Democratic primary on Thursday, September 13th. The acrimonious encounter featured Cuomo accusing Nixon of being a political neophyte who "lives in the world of fiction," and Nixon dismissing Cuomo as "a corrupt corporate Democrat" who stood up to Trump "about as well as he stood up to Putin.” Here's what stood out most from last night's clash (full video below): [ more › ] Gothamist https://ift.tt/2PMXSuN August 30, 2018 at 05:57PM
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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