Diacu, Florin.
Relative Equilibria of the Curved N-Body Problem [electronic resource] / by Florin Diacu. - XIV, 143 p. 9 illus. online resource. - Atlantis Series in Dynamical Systems ; 1 . - Atlantis Series in Dynamical Systems ; 1 .
Introduction -- Preliminary developments -- Equations of motion -- Isometric rotations -- Relative equilibria (RE) -- Fixed Points (FP) -- Existence criteria -- Qualitative behavior -- Positive elliptic RE -- Positive elliptic-elliptic RE -- Negative RE -- Polygonal RE -- Lagrangian and Eulerian RE -- Saari’s conjecture.
The guiding light of this monograph is a question easy to understand but difficult to answer:
9789491216688
10.2991/978-94-91216-68-8 doi
Mathematics.
Differentiable dynamical systems.
Differential Equations.
Mathematics.
Dynamical Systems and Ergodic Theory.
Ordinary Differential Equations.
Mathematics, general.
QA313
515.39 515.48
Relative Equilibria of the Curved N-Body Problem [electronic resource] / by Florin Diacu. - XIV, 143 p. 9 illus. online resource. - Atlantis Series in Dynamical Systems ; 1 . - Atlantis Series in Dynamical Systems ; 1 .
Introduction -- Preliminary developments -- Equations of motion -- Isometric rotations -- Relative equilibria (RE) -- Fixed Points (FP) -- Existence criteria -- Qualitative behavior -- Positive elliptic RE -- Positive elliptic-elliptic RE -- Negative RE -- Polygonal RE -- Lagrangian and Eulerian RE -- Saari’s conjecture.
The guiding light of this monograph is a question easy to understand but difficult to answer:
9789491216688
10.2991/978-94-91216-68-8 doi
Mathematics.
Differentiable dynamical systems.
Differential Equations.
Mathematics.
Dynamical Systems and Ergodic Theory.
Ordinary Differential Equations.
Mathematics, general.
QA313
515.39 515.48