Heteroclinic Bifurcation of Strongly Nonlinear Oscillator
| العنوان: | Heteroclinic Bifurcation of Strongly Nonlinear Oscillator |
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| المؤلفون: | Zhang Qi-Chang, Li Wei-Yi, Wang Wei |
| المصدر: | Chinese Physics Letters. 25:1905-1907 |
| بيانات النشر: | IOP Publishing, 2008. |
| سنة النشر: | 2008 |
| مصطلحات موضوعية: | Period-doubling bifurcation, Physics, Transcritical bifurcation, Limit cycle, Mathematical analysis, General Physics and Astronomy, Saddle-node bifurcation, Heteroclinic bifurcation, Infinite-period bifurcation, Bifurcation diagram, Nonlinear Sciences::Pattern Formation and Solitons, Bifurcation |
| الوصف: | Analytical prediction of heteroclinic bifurcation of the strongly nonlinear oscillator is presented by using the extended normal form method. We consider the approximate periodic solution of the system subject to the quintic nonlinearity by introducing the undetermined fundamental frequency. For the occurrence of heteroclinicity, the bifurcation criterion is accomplished. It depends on the contact of the limit cycle with the saddle equilibrium. As is illustrated, the explicit application shows that the new results coincide very well with the results of numerical simulation when disturbing parameter is of arbitrary magnitude. |
| تدمد: | 1741-3540 0256-307X |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_________::61fc1aa480107ec4cab98c9839f16fbaTest https://doi.org/10.1088/0256-307x/25/5/105Test |
| رقم الانضمام: | edsair.doi...........61fc1aa480107ec4cab98c9839f16fba |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 17413540 0256307X |
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