We provide an analytic solution of the Rössler equations based on the asymptotic limit $c\to \infty $ and we show in this limit that the solution takes the form of multiple pulses, similar to “burst” firing of neurons. We are able to derive an approximate Poincaré map for the solutions, which compares reasonably with a numerically derived map.

中文翻译：

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RÖSSLER 方程的爆破解

我们基于渐近极限$c\to \infty $提供了罗斯勒方程的解析解，并且我们在这个极限中表明该解采用多个脉冲的形式，类似于神经元的“突发”放电。我们能够导出解的近似庞加莱图，它与数值导出的图进行了合理的比较。