کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9877574 1534082 2005 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Nonlinearly driven transverse synchronization in coupled chaotic systems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Nonlinearly driven transverse synchronization in coupled chaotic systems
چکیده انگلیسی
Synchronization transitions are investigated in coupled chaotic maps. Depending on the relative weight of linear versus nonlinear instability mechanisms associated to the single map two different scenarios for the transition may occur. When only two maps are considered we always find that the critical coupling εl for chaotic synchronization can be predicted within a linear analysis by the vanishing of the transverse Lyapunov exponent λT. However, major differences between transitions driven by linear or nonlinear mechanisms are revealed by the dynamics of the transient toward the synchronized state. As a representative example of extended systems a one dimensional lattice of chaotic maps with power-law coupling is considered. In this high dimensional model finite amplitude instabilities may have a dramatic effect on the transition. For strong nonlinearities an exponential divergence of the synchronization times with the chain length can be observed above εl, notwithstanding the transverse dynamics is stable against infinitesimal perturbations at any instant. Therefore, the transition takes place at a coupling εnl definitely larger than εl and its origin is intrinsically nonlinear. The linearly driven transitions are continuous and can be described in terms of mean field results for non-equilibrium phase transitions with long range interactions. While the transitions dominated by nonlinear mechanisms appear to be discontinuous.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 208, Issues 3–4, 1 September 2005, Pages 191-208
نویسندگان
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