Pompeo Meets With Top North Korean Official In Hopes Of Reviving Singapore Summit

Secretary of State Mike Pompeo, left, exits a residential building after meeting with Kim Yong Chol, former North Korean military intelligence chief and one of leader Kim Jong Un

The secretary of state met for dinner in New York with former North Korean intelligence chief Kim Yong Chol, as the two sought to get a planned June 12 top-level summit back on track.

(Image credit: Julie Jacobson/AP)

News : NPR https://ift.tt/2xts4Wt May 31, 2018 at 09:36AM

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Solving Van der Pol equation with ivp_solve

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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