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| 1 | SD振子,SD吸引子及其应用显示文摘提供一个新振子命名为SD振子,受扰振子的吸引子称为SD吸引子,它的动力学行为决定于一个光滑参数α的连续变化。这是一个具有强非线性特征的振动系统,它提供了一个从光滑动力学行为向不连续动力学行为光滑转迁的典型示范,这种直接的转迁并不需要连续系统的过渡。当系统为光滑动力学性态时,表现出与Du ffing系统类似的双井等标准动力学行为,而当系统表现为不连续性态时,提供一个新的非连续动力系统模型,它除了表现为标准的双井动力学行为外,也表现出一些新的非标准动力学行为。文中展示了这个系统的转迁过程和特性及其相应的吸引子的复杂动力学行为。 | 曹庆杰 Wiercigroch M Pavlovskaia E E Grebogi C Thompson M T | 2007 | 振动工程学报2007，20，5： | 9 |
| 2 | Complete and phase synchronization in a heterogeneous small-world neuronal network显示文摘Synchronous firing of neurons is thought to be important for information communication in neuronal networks. This paper investigates the complete and phase synchronization in a heterogeneous small-world chaotic Hindmarsh- Rose neuronal network. The effects of various network parameters on synchronization behaviour are discussed with some biological explanations. Complete synchronization of small-world neuronal networks is studied theoretically by the master stability function method. It is shown that the coupling strength necessary for complete or phase synchronization decreases with the neuron number, the node degree and the connection density are increased. The effect of heterogeneity of neuronal networks is also considered and it is found that the network heterogeneity has an adverse effect on synchrony. | 韩芳 陆启韶 Wiercigroch Marian 季全宝 | 2009 | Chinese Physics B2009，18，2： | 5 |
| 3 | A novel smooth and discontinuous oscillator with strong irrational nonlinearities显示文摘In this paper,we propose a novel nonlinear oscillator with strong irrational nonlinearities having smooth and discontinuous characteristics depending on the values of a smoothness parameter.The oscillator is similar to the SD oscillator,originally introduced in Phys Rev E 69(2006).The equilibrium stability and the complex bifurcations of the unperturbed system are investigated.The bifurcation sets of the equilibria in parameter space are constructed to demonstrate transitions in the multiple well dynamics for both smooth and discontinuous regimes.The Melnikov method is employed to obtain the analytical criteria of chaotic thresholds for the singular closed orbits of homoclinic,homo-heteroclinic,cuspidal heteroclinic and tangent homoclinic orbits of the perturbed system. | HAN YanWei CAO QingJie CHEN YuShu WIERCIGROCH Marian | 2012 | Science China(Physics,Mechanics & Astronomy)2012，55，10： | 4 |
| 4 | Bifurcations and the penetrating rate analysis of a model for percussive drilling显示文摘在这篇论文,我们调查模仿围住的前进的非线性的动力学的与 vibro 影响的敲击的钻的一个低维的模型。在影响在钻期间引起的粘住滑倒产生的 Non-holonomity 没能正确地经由古典技术被鉴别。没有 non-holonomity 的一个减少的模型被一个新州的变量,平均技术成功地被采用检测周期的运动的介绍导出。本地分叉被使用 C-L 方法直接介绍。沿着参数的不同选择的数字模拟和渗透的率分析被执行了探查非线性的行为和钻的系统的最佳的渗透率。关键词分叉 - 混乱 - Non-holonomity - 敲击的钻工程被中国(10872136 和 10932006 ) 和 EPSRC 资助(GR/R85556 ) 的国家自然科学基础支持。 | Qing-Jie Cao Marian Wiercigroch Ekaterina Pavlovskaia Shao-Pu Yang | 2010 | Acta Mechanica Sinica2010，26，3： | 3 |
| 5 | Suppressing grazing chaos in impacting system by structural nonlinearity 显示文摘 | de Souza S L T Wiercigroch M | 2008 | Chaos Solitons & Fractals2008，38，3： | 1 |
| 6 | Two dimensional map for impact oscillator with drift 显示文摘 | Pavlovskaia E Wiercigroch M Grebogi C | 2004 | Physcies Review E2004，70，3： | 1 |
| 7 | Chaotic vibration of a simple model of the machine tool-cutting process system显示文摘 | WIERCIGROCH M | 1997 | Journal of Vibration and Acoustics1997，119，3： | 1 |
| 8 | Bifurcation analysis of an impact oscillator with a one-sided elas- tic constraint near grazing显示文摘 | Ing J Pavlovskaia E Wiercigroch M | 2010 | Physica D2010，239，6： | 1 |
| 9 | Sources of nonlinearities, chatter generation and suppression in metal cutting显示文摘 | WIERCIGROCH M BUDAK E | 2001 | Philosophical Transactions: Mathematical Physical and Engineering Sciences2001，359，1781： | 1 |
| 10 | Material removal rate prediction for ultrasonic drilling of hard materials using an impact oscillator approach显示文摘 | Neilson R D Player M A | 1999 | Physics Letters A1999，259，2： | 1 |
| 11 | Identification of chaos in a cutting process by the 0-1 test 显示文摘 | LITAK G SYTA A WIERCIGROCH M | 2009 | Chaos Solitons and Frac-tals2009，40，： | 1 |
| 12 | Dynamics of a vertical riser with weak structural nonlinearity excited by wakes显示文摘 | Marko Keber Marian Wiercigroch | 2008 | Journal of Sound and Vibration2008，，3： | 1 |
| 13 | Cumulative effect of structural nonlinearities:chaotic dynamics of cantilever beam system with impacts显示文摘 | Joseph E Wiercigroch M Krivtsov A M | 2005 | Chaos Solitons and Fractals2005，23，： | 1 |
| 14 | SD振子、吸引子的转迁过程及其特性显示文摘SD振子及SD吸引子的动力学行为决定于一个光滑参数α的连续变化。当α>0时,系统表现为光滑特征;当α=0时,系统表现为不连续特性。这是一个具有强非线性特征的振动系统,它提供了一个从光滑动力学行为向不连续动力学行为光滑转迁的典型示范,这种直接的转迁并不需要连续系统的过渡。当系统为光滑动力学性态时,表现出与Duffing系统类似的双井等标准动力学行为;当系统表现为不连续性态时,除表现为标准的双井动力学行为外,也表现出如类鞍点和类同宿轨道等非标准动力学行为,展示了这个系统的转迁过程和特性及其相应的吸引子的复杂动力学行为。 | 曹庆杰 Marian Wiercigroch Ekaterina Pavlovskaia Celso Grebogi J.M.T.Thompson | 2007 | 科技导报2007，25，23： | 1 |
| 15 | Regular and chaotic dynamics of a discontinuously nonlinear rotor sys- tem显示文摘 | KARPENKO E V WIERCIGROCH M CARTMELL M P | 2002 | Chaos Solitons and Fractals2002，13，6： | 1 |
| 16 | Cumulative efect of smactural nonlinearities: chaotic dynamics of cantilever beam system with impacts显示文摘 | Emans J Wiercigroch M Krivtsov A M | 2005 | Chaos Solitons & Fractals2005，23，： | 1 |
| 17 | Sources of Nonlinearities Chatter Generation and Suppression in Metal Cutting显示文摘 | WIERCIGROCH M BUDAK E | 2001 | Philosophical Transactions The Roral Society A2001，，359： | 1 |
| 18 | Piecewise linear ap-proach to an archetypal oscillator for smooth and discontinuous dynamics 显示文摘 | Cao Q Wiercigroch M Pavlovskaia E E Grebogi C Thompson J M T | 2008 | Phil Trans R Soc A2008，366，1865： | 1 |
| 19 | Piecewise approximate analytical solutions for a Jeffcott rotor with a snubber ring 显示文摘 | Karpenko E V Wiercigroch M Pavlovskaia E E | 2002 | International Journal of Mechanical Sciences2002，44，3： | 1 |
| 20 | Hysteretic effects of dry friction:modeling and experimental studies显示文摘 | Wojewoda J Stefanski A Wiercigroch M | 2008 | Mathematic Physical & Engineering Science2008，366，： | 1 |
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