On the complete integrability of gradient systems on manifold of the beta family of the first kind

DOI10.1007/S41884-023-00130-ZzbMATH Open1548.37075MaRDI QIDQ6558544

Joseph Dongho, Prosper Rosaire Mama Assandje, Thomas B. Bouetou

Publication date: 19 June 2024

Published in: Information Geometry (Search for Journal in Brave)

zbMATH Keywords

Hamiltoniangradient systemHamiltonian systemLax pair representation

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Applications of differential geometry to physics (53Z05) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Differential geometric aspects of statistical manifolds and information geometry (53B12)

Cites Work

• Title not available (Why is that?)
• Ramanujan formula for the generalized Stirling approximation
• Partial differential equations possessing Frobenius integrable decompositions
• Completely integrable gradient systems on the manifolds of Gaussian and multinomial distributions
• Hereditary structure in Hamiltonians: Information geometry of Ising spin chains
• Lax pair and fixed point analysis of Karmarkar's projective scaling trajectory for linear programming
• Neurodynamics and nonlinear integrable systems of Lax type
• Gradient systems associated with probability distributions
• On explicit solvable gradient systems of Moser-Karmarkar type
• Koszul lecture related to geometric and analytic mechanics, Souriau's Lie group thermodynamics and information geometry
• Koszul information geometry, Liouville-Mineur integrable systems and Moser isospectral deformation method for Hermitian positive-definite matrices
• Jean-Louis Koszul and the Elementary Structures of Information Geometry
• Information Geometry and Integrable Hamiltonian Systems
• Geometric Modeling in Probability and Statistics
• An explicit symmetry constraint for the Lax pairs and the adjoint Lax pairs of AKNS systems
• Geometric properties of beta distributions
• Complete integrability of gradient systems on a manifold admitting a potential in odd dimension

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