논문KCI 등재
Solvability of ODEs describing curves on $\mathbb{S}^2$ or $\mathbb{H}^2$
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초록
We show the solvability of the ordinary differential equations describing curves on sphere or hyperbolic space. Making use of the geometric properties of the equations, we derive explicit solution formulae.
Abstract
We show the solvability of the ordinary differential equations describing curves on sphere or hyperbolic space. Making use of the geometric properties of the equations, we derive explicit solution formulae.
참고문헌 (6)
- Seung-Yeal Ha, "Emergent behaviors of a first-order particle swarm model on the hyperboloid", Journal of Mathematical Physics, 61(4), pp.042701~ (2020), AIP Publishing[DOI]
- Seung-Yeal Ha, "Flocking Dynamics of the Inertial Spin Model with a Multiplicative Communication Weight", Journal of Nonlinear Science, 29(4), pp.1301~1342 (2019), Springer Science and Business Media LLC[DOI]
- H. Huh, "Emergence of velocity alignment for the inertial spin model with the spin-velocity interaction"
- T. K. Karper, "A new angular momentum method for computing wave maps into spheres", SIAM J. Numer. Anal, 52(4), pp.2073~2091 (2014)[DOI]
- J. Shatah, "Geometric Wave Equations" (1998), Courant Institute of Mathematical Sciences
- F. Weber, "Theory, numerics and applications of hyperbolic problems. II", pp.643~654 (2018), Springer
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