construction of vector fields with positive lyapunov exponents
پایان نامه
- وزارت علوم، تحقیقات و فناوری - دانشگاه فردوسی مشهد
- نویسنده محمدرضا ملایی
- استاد راهنما بهمن هنری
- تعداد صفحات: ۱۵ صفحه ی اول
- سال انتشار 1376
چکیده
in this thesis our aim is to construct vector field in r3 for which the corresponding one-dimensional maps have certain discontinuities. two kinds of vector fields are considered, the first the lorenz vector field, and the second originally introced here. the latter have chaotic behavior and motivate a class of one-parameter families of maps which have positive lyapunov exponents for an open interval of parameters.
منابع مشابه
On Synchronization With Positive Conditional Lyapunov Exponents
Synchronization of chaotic system may occur only when the largest conditional Lyapunov exponent of the driven system is negative. The synchronization with positive conditional Lyapunov reported in a recent paper (Phys. Rev. E, 56, 2272 (1997)) is a combined result of the contracting region of the system and the finite precision in computer simulations. PACS number(s): 05.45.+b;
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وزارت علوم، تحقیقات و فناوری - دانشگاه فردوسی مشهد
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