Integrability methods in the time minimal coherence transfer for Ising chains of three spins

DOI10.3934/DCDS.2015.35.4095zbMath1344.49033OpenAlexW1973067558MaRDI QIDQ255812

Lionel Jassionnesse, Thierry Combot, Bernard Bonnard

Publication date: 9 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2015.35.4095

zbMATH Keywords

Pontryagin's maximum principledifferential Galois theorygeometric optimal controlIsing's spin chainsLiouville metricsSR-geometry

Mathematics Subject Classification ID

Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Optimality conditions for problems involving ordinary differential equations (49K15) Elliptic functions and integrals (33E05)

Related Items (1)

Non-integrability of the minimum-time Kepler problem

Cites Work

• Metrics with equatorial singularities on the sphere
• Cut loci and conjugate loci on Liouville surfaces
• Nonisotropic 3-level quantum systems: complete solutions for minimum time and minimum energy
• A Gauss-Bonnet-like formula on two-dimensional almost-Riemannian manifolds
• An algorithm for solving second order linear homogeneous differential equations
• Galois groups of second and third order linear differential equations
• Elliptic functions and applications
• The cut loci and the conjugate loci on ellipsoids
• Geometric and numerical techniques to compute conjugate and cut loci on Riemannian surfaces
• Riemannian metrics on 2D-manifolds related to the Euler−Poinsot rigid body motion
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