Non-chaotic dynamics for Yang-Baxter deformed $ AdS_4 \times CP^3 $ superstrings

We explore a novel class of Yang-Baxter (YB) deformed $ AdS_4 \times CP^3 $ backgrounds which exhibit a non-chaotic dynamics for (super)strings those are propagating over it. We probe the classical phase space of these (semi)classical strings and calculate various chaos indicators. These include studying the Poincare sections and estimating the Lyapunov exponents which confirm an integrable phase space dynamics in the (semi)classical limit.