Synchronization in Oscillator Networks with Nonlinear Coupling

Synchronization in Oscillator Networks with Nonlinear Coupling
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具有非线性耦合的振荡器网络中的同步

DOI:
10.1088/0253-6102/50/4/26
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发表时间:
2008-10
影响因子:
3.1
通讯作者:
--
中科院分区:
物理与天体物理3区
文献类型:
--
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耦合振荡器网络的同步问题引起了科学和工程界的广泛关注。本文首先证明了在非耦合振子最终耗散的假设下,非线性耦合振子网络也是最终耗散的。并结合最近发展的两种方法,在其吸收域中分析了网络的动力学行为。得到了非线性耦合振子网络同步的充分条件。将两种方法有效地结合起来,结果体现了两种方法各自的优点。数值模拟验证了结果的有效性。
Synchronization in coupled oscillator networks has attracted much attention from many fields of science and engineering. In this paper, it is firstly proved that the oscillator network with nonlinear coupling is also eventually dissipative under the hypothesis of eventual dissipation of the uncoupled oscillators. And the dynamics of the network is analyzed in its absorbing domain by combining two methods developed recently. Sufficient conditions for synchronization in the oscillator networks with nonlinear coupling are obtained. The two methods are combined effectively and the results embody the respective merits of the two methods. Numerical simulations confirm the validity of the results.
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