Paulie Gee's in Greenpoint makes some of the city's best pizza, but excruciating table waits and a notorious no-takeout policy means that it can be frustratingly difficult to actually eat there. Which is one of the reasons why two years ago owner Paul Giannone decided he needed another storefront for feeding this pizza-crazy town. And yesterday, finally, it opened for real: Paulie Gee's Slice Shop, a spacious throwback-looking joint on the corner of Franklin and Noble Streets. [ more › ] Gothamist https://ift.tt/2PknBts August 30, 2018 at 08:07PM
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 ...
Comments
Post a Comment