New posts in Nonlinear System

Solve system of non-linear equations $\frac{1}{x^2}-\frac{1}{(y-x)^2}-\frac{1}{(1-x)^2}= \frac{1}{y^2}+\frac{1}{(y-x)^2}-\frac{1}{(1-y)^2}=0$

Show that the solution of this (nonlinear) ODE cannot remain bounded as $t\to\infty$

very slow convergence of Picard method for solving nonlinear system of equations

How do I solve $\frac{d^2y}{dx^2} = (1+(\frac{dy}{dx})^2)^{3/2}$?

Finding a good Lyapunov function for $ \{ x'= y , y'= -4 x + 5x^3 - x^5 \}$

What is the solution of the equation $xyp^2 + (3x^2 - 2y^2)p - 6xy=0$, where $p = \frac{dx}{dy}$

How to pick a Lyapunov function and prove stability?

Are there Soliton Solutions for Maxwell's Equations?

Does this simple 2D dynamical system have a conserved quantity?

Finding solution of non linear DE $x\ddot{x}-\dot{x}^2=1$