On a family of Hill's equations in the complex field

DOI10.1007/BF00048488zbMath0850.70168MaRDI QIDQ1186260

Fernand Nahon, Amar Makhlouf

Publication date: 28 June 1992

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Related Items (2)

Analytical periodic solution and stability assessment of 1 DOF parametric systems with time varying stiffness ⋮ On the periodic solutions of a particular Lamé equation

Cites Work

• Unnamed Item
• Existence of exponentially unstable periodic solutions and the non- integrability of homogeneous Hamiltonian systems
• A criterion for the non-existence of an additional integral in Hamiltonian systems with a homogeneous potential
• Exponential instability of collision orbit in the anisotropic Kepler problem

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