SYNCHRONIZATION IN A LATTICE OF COUPLED VAN DER POL SYSTEMS

SYNCHRONIZATION IN A LATTICE OF COUPLED VAN DER POL SYSTEMS
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耦合 VAN DER POL 系统格子中的同步

DOI:
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发表时间:
1998
期刊:
影响因子:
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通讯作者:
Chern
Chern
中科院分区:
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文献类型:
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作者:
C. Chiu;Wen;Chern

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考虑了具有周期力和狄利克雷边界条件的范得波尔系统的晶格。在耗散有界的假设下,证明了在耦合系数足够大的情况下会发生渐近同步。此外,我们通过数值模拟证明了渐近同步受耦合系数和晶格大小的影响。
We consider a lattice of coupled van der Pol systems with external periodic forces and Dirichlet boundary conditions. Under the assumption of bounded dissipativeness, we prove that the asymptotic synchronization occurs provided that the coupling coefficients are sufficiently large. Furthermore, we demonstrate from numerical simulations that asymptotic synchronization is affected by the coupling coefficients and the size of lattice.