论文标题
具有相应延迟的可逆二阶自主系统的定期解决方案
Periodic Solutions to Reversible Second Order Autonomous Systems with Commensurate Delays
论文作者
论文摘要
Existence and spatio-temporal patterns of periodic solutions to second order reversible equivariant autonomous systems with commensurate delays are studied using the Brouwer $O(2) \times Γ\times \mathbb Z_2$-equivariant degree theory, where $O(2)$ is related to the reversing symmetry, $Γ$ reflects the symmetric character of the coupling in the corresponding network and $ \ Mathbb Z_2 $与右侧的奇数有关。抽象结果由$γ= d_6 $的具体示例支持 - 订单12的二面体组。
Existence and spatio-temporal patterns of periodic solutions to second order reversible equivariant autonomous systems with commensurate delays are studied using the Brouwer $O(2) \times Γ\times \mathbb Z_2$-equivariant degree theory, where $O(2)$ is related to the reversing symmetry, $Γ$ reflects the symmetric character of the coupling in the corresponding network and $\mathbb Z_2$ is related to the oddness of the right-hand-side. Abstract results are supported by a concrete example with $Γ= D_6$ -- the dihedral group of order 12.
