We analyzed the regularity/chaoticity of the orbits of 45 globular clustersin the central region of the Galaxy with a radius of 3.5 kpc, which are subjectto the greatest influence from an elongated rotating bar. Various analysismethods were used, namely, methods for calculating the Highest LyapunovExponents, the method of Poincar$\acute{e}$ sections, the frequency methodbased on the calculation of fundamental frequencies, as well as the visualassessment method. Bimodality was discovered in the histogram of thedistribution of positive Lyapunov exponents, calculated in the classicalversion, without renormalization of the shadow orbit, which makes it possibleto implement a probabilistic method of GC classification. To construct theorbits of globular clusters, we used a gravitational potential model with a barin the form of a triaxial ellipsoid, described in detail in the work of Bajkovaet al., Izvestiya Glavnoi astronomicheskoi observatorii v Pulkove, {\bf 228}, 1(2023). The following bar parameters were adopted: mass $10^{10} M_\odot $,semimajor axis length 5 kpc, bar viewing angle 25$^o$, rotation velocity 40 kms$^{-1}$ kpc$^{-1}$. To form the 6D-phase space required for orbit integration,the most accurate astrometric data to date from the Gaia satellite (EDR3)(Vasiliev, Baumgardt, 2021), as well as new refined average distances toglobular clusters (Baumgardt, Vasiliev, 2021) were used. A classification ismade of globular clusters with regular and chaotic dynamics. As the analysisshowed, globular clusters with small pericentric distances and largeeccentricities are most susceptible to the influence of the bar and demonstratethe greatest chaos. It is shown that the results of classifying globularclusters by the nature of their orbital dynamics, obtained using the variousmethods of analysis considered in the work, correlate well with each other.
The paper is devoted to the analysis of the influence of the galactic bar onthe nature of the orbital motion (chaotic or regular) of globular clusters inthe central region of the Galaxy with a radius of 3.5 kpc, which are subject tothe greatest influence of the bar. The sample includes 45 globular clusters. Toform the 6D phase space required for integrating the orbits, the most accurateastrometric data to date from the Gaia satellite (Vasiliev, Baumgardt, 2021)were used, as well as new refined average distances (Baumgardt, Vasiliev,2021). The orbits of the globular clusters were obtained both in anaxisymmetric potential and in a potential including the bar. The following,most realistic, bar parameters were adopted: mass $10^{10} M_\odot$, semi-majoraxis length 5 kpc, bar axis rotation angle 25$^o$, angular rotation velocity 40km s$^{-1}$ kpc$^{-1}$. The analysis of the chaoticity/regularity of theorbital motion in both potentials was carried out using one of the mosteffective methods, namely, the frequency method, which consists in calculatingthe drift of fundamental frequencies. As a result, the influence of the bar onthe dynamics of each GC of the sample was assessed. It is established that 8GCs changed regular dynamics to chaotic under the influence of the bar, and 9GCs changed chaotic dynamics to regular one.