We study the dynamics of two pendulum clocks suspended on a swinging support, investigating the scenarios of symmetrical and asymmetrical geometry of the oscillators’ suspension. The regions of possible dynamical patterns are determined and typical behaviours of the system are described. We show, that depending on the parameters and the initial conditions, multistable synchronous states can arise, including in–phase, anti–phase and phase–locked synchronization, as well as the quasiperiodic, irregular motion.The basins of attraction of the co–existing solutions are presented and the transitions from one type of pattern into another are investigated through bifurcation analysis. The latter is supported by the energy balance method, which allows to understand the mechanisms responsible for qualitative changes occurring in the system. Our results are confirmed by the basin stability tool and indicate a good agreement between the classical bifurcation approach and modern probabilistic methods. The studies performed in this paper can be generalized and developed further for other types of systems, as well as to study the influence of the model’s parameters on possible dynamics.

我们研究了悬挂在一个摆动支撑上的两个摆钟的动力学特性，研究了振荡器悬挂的对称和不对称几何形状的情况。确定可能的动态模式的区域，并描述系统的典型行为。我们证明，根据参数和初始条件，可能会出现多稳态同步状态，包括同相，反相和锁相同步，以及准周期，不规则运动。提出了现有的解决方案，并通过分叉分析研究了从一种类型的图案到另一种类型的图案的过渡。后者受能量平衡方法的支持，该方法可以了解导致系统中发生质变的机理。流域稳定性工具证实了我们的结果，并表明了经典的分叉方法与现代概率方法之间的良好一致性。本文进行的研究可以推广到其他类型的系统，并进一步研究模型参数对可能的动力学的影响。