A novel smooth and discontinuous oscillator with strong irrational nonlinearities

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在这份报纸,我们与有光滑、不连续的特征取决于一个光滑参数的价值的强壮的荒谬的非线性建议一个新奇非线性的振荡器。振荡器类似于 SD 振荡器,原来在 Phys 加快 E 69 (2006 ) 介绍了。平衡稳定性和不受搅乱的系统的复杂分叉被调查。在参数空格的 equilibria 的分叉集合被构造为光滑、不连续的政体在多重井动力学表明转变。Melnikov 方法被采用为 homoclinic, homo-heteroclinic,尖 heteroclinic 和使不安的系统的正切 homoclinic 轨道的单
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