Heteroclinic cycles are widely used in neuroscience in order to mathematically describe different mechanisms of functioning of the brain and nervous system. Heteroclinic cycles and interactions between them can be a source of different types of nontrivial dynamics. For instance, as it was shown earlier, chaotic dynamics can appear as a result of interaction via diffusive couplings between two stable heteroclinic cycles between saddle equilibria. We go beyond these findings by considering two coupled stable heteroclinic cycles rotating in opposite directions between weak chimeras. Such an ensemble can be mathematically described by a system of six phase equations. Using two-parameter bifurcation analysis, we investigate the scenarios of emergence and destruction of chaotic dynamics in the system under study.

异宿循环广泛应用于神经科学中，以便从数学上描述大脑和神经系统的不同功能机制。异宿循环和它们之间的相互作用可以是不同类型的非平凡动力学的来源。例如，如前所述，混沌动力学可能是鞍平衡之间两个稳定异宿循环之间通过扩散耦合相互作用的结果。我们通过考虑弱嵌合体之间沿相反方向旋转的两个耦合稳定异宿循环来超越这些发现。这样的系综可以通过六个相位方程组进行数学描述。使用二参数分岔分析，我们研究了所研究的系统中混沌动力学的出现和破坏的场景。