Abstract We discuss some families of integrable and superintegrable systems in $$n$$ -dimensional Euclidean space which are invariant under $$m\geqslant n-2$$ rotations. The invariant Hamiltonian $$H=\sum p_{i}^{2}+V(q)$$ is integrable with $$n-2$$ integrals of motion $$M_{\alpha}$$ and an additional integral of motion $$G$$ , which are first- and fourth-order polynomials in momenta, respectively.

Andrey V. Tsiganov

Regular and Chaotic Dynamics

REGULAR AND CHAOOTIC DYNAMICS (RCD) 是一本国际期刊，发表动力系统理论及其应用方面的原创研究论文。该杂志植根于莫斯科数学与力学学院，成功地结合了经典问题、现代数学技术和该领域的突破。规则和混沌动力学欢迎建立原始结果的论文，以严格的数学设置和证明为特征，并且还解决了实际问题。除了研究论文，该杂志还发表评论文章、历史和辩论论文，以及过去几个世纪有影响力的科学家的作品的翻译，这些以前没有英文版本。除了常规问题，RCD 还出版专门针对动力系统领域特定主题和事件的特刊。

Regular and Chaotic Dynamics (RCD) is an international journal that publishes original research papers on the theory and applications of dynamical systems. Rooted in the Moscow Institute of Mathematics and Mechanics, the journal successfully combines classical problems, modern mathematical techniques, and breakthroughs in the field. RCD welcomes submissions of original results characterized by rigorous mathematical settings and proofs, addressing practical issues. In addition to research papers, the journal also features commentary articles, historical and debate papers, and translations of works by influential scientists from past centuries that previously lacked English versions. Furthermore, RCD publishes special issues dedicated to specific topics and events in the field of dynamical systems.

《Regular and Chaotic Dynamics》（RCD）是一本国际期刊，专注于动力系统理论及其应用的原创研究论文。该期刊源于莫斯科数学与力学学院，成功地结合了经典问题、现代数学技术和该领域的最新突破。RCD欢迎提交具有原创性结果的论文，这些论文应具备严格的数学框架和证明，并解决实际问题。除了研究论文，该期刊还发表评论文章、历史和辩论论文，以及过去几个世纪影响深远的科学家的作品翻译，这些作品之前没有英文版本。此外，RCD还出版专门针对动力系统领域特定主题和事件的特刊。

Category	Quartile
数学	4
数学, 应用数学	4
数学, 力学	4
数学, 物理数学物理	4

Rotations and Integrability

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Journal Info

Category	Quartile
PHYSICS, MATHEMATICAL	4