The train model of two blocks with stick-slip dynamics (M. de Sousa Vieira, 1995) is believed to be the simplest spring-block system, which displays chaos. Here we simplify it even more by linearizing the velocity dependence of the friction force. In this way, the nonlinearity of the equations of motion is reduced to the time moments, when a block starts to move or stops, and when the analytical solutions axe to be sewn together. We demonstrate, that for small values of the velocity of blocks, the character of motion is not changed. This is observed on the bifurcation diagrams, the Lyapunov exponents, the phase portraits and the power spectra. [References: 7]
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机译：具有粘滑动力学的两个块的火车模型（M. de Sousa Vieira，1995）被认为是最简单的弹簧块系统，它表现出混乱。在这里，我们通过线性化摩擦力的速度依赖性来进一步简化它。以这种方式，运动方程的非线性被减少到时刻，当块开始移动或停止时，以及当解析解被缝合在一起时。我们证明，对于较小的块速度值，运动的特性不会改变。这在分叉图，李雅普诺夫指数，相图和功率谱上都可以观察到。 [参考：7]
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