کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1862411 | 1037586 | 2008 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Integrable discrete static Hamiltonian with a parametric double-well potential
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Integrable discrete static Hamiltonian with a parametric double-well potential Integrable discrete static Hamiltonian with a parametric double-well potential](/preview/png/1862411.png)
چکیده انگلیسی
A one-dimensional discrete conservative Hamiltonian with a generalized form of the Schmidt potential, is constructed with the help of a non-integrable discrete Hamiltonian whose parametrized double-well potential can be reduced to the Ï4 potential. The new conservative Hamiltonian is completely integrable in the discrete static regime, and the associate exact nonlinear solution is shown to coincide with the continuum nonlinear periodic solution of the non-integrable Hamiltonian. Numerical simulations and nonlinear stability analysis suggest that the discrete mapping derived from the completely integrable Hamiltonian undergoes a bifurcation which does not leads to the chaotic phase with randomly pinned states, but instead to a phase where real solutions become rare forming a cluster of periodic points around an elliptic fixed point.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 372, Issue 46, 17 November 2008, Pages 6890-6895
Journal: Physics Letters A - Volume 372, Issue 46, 17 November 2008, Pages 6890-6895
نویسندگان
E. Epie Njumbe, Alain M. Dikandé, T.C. Kofané,