Applications of Nijenhuis geometry: Nondegenerate singular points of Poisson-Nijenhuis structures

Abstract

We study and completely describe pairs of compatible Poisson structures near singular points of the recursion operator satisfying natural non-degeneracy condition.

References in corpus (4)

• Compatible Poisson brackets of hydrodynamic type
• Open Problems, Questions, and Challenges in Finite-Dimensional Integrable Systems
• Nijenhuis geometry II: Left-symmetric algebras and linearization problem for Nijenhuis operators
• Hamiltonian operators of Dubrovin-Novikov type in 2D

Cited by in corpus (4)

• Applications of Nijenhuis geometry II: maximal pencils of multihamiltonian structures of hydrodynamic type
• Applications of Nijenhuis geometry III: Frobenius pencils and compatible non-homogeneous Poisson structures
• Integrating Nijenhuis Structures
• Elementary Differential Singularities of Three-Dimensional Nijenhuis Operators