We study the baby Skyrme model in (2+1)-dimensions built on a finite cylinder. To this end, we introduce a consistent ansatz which is able to reduce the complete set of field equations to just one equation for the profile function for arbitrary baryon charge. Many analytic solutions both with and without the inclusion of the effects of the minimal coupling with the Maxwell field are constructed. The baby skyrmions appear as a sequence of rings along the cylinder, leading to a periodic shape in the baryon density. Linear stability and other physical properties are discussed. These analytic gauged baby Skyrmions generate a persistent U(1) current which cannot be turned off continuously as it is tied to the topological charge of the baby Skyrmions themselves. In the simplest non-trivial case of a gauged baby Skyrmion, a very important role is played by the Mathieu equation with an effective coupling constant which can be computed explicitly. These configurations are a very suitable arena to test resurgence in a non-integrable context.

我们在有限圆柱体上以（2 + 1）维研究婴儿Skyrme模型。为此，我们引入了一个一致的ansatz，它能够将完整的场方程组简化为任意重子电荷的轮廓函数的一个方程。构造了许多分析解决方案，无论是否包含与麦克斯韦场的最小耦合的影响。婴儿天体离子沿圆柱体显示为一系列环，导致重子密度呈周期性形状。讨论了线性稳定性和其他物理性质。这些经过分析评估的婴儿Skyrmions会产生持久的U（1）不能连续关断的电流，因为它与婴儿Skyrmions本身的拓扑电荷有关。在带标量的婴儿Skyrmion的最简单的非平凡情况下，Mathieu方程具有有效的耦合常数（可以显式计算），发挥着非常重要的作用。这些配置非常适合在不可集成的环境中测试回潮。