Solar sail trajectories at the Earth-Moon Lagrange points [PDF]
, 2008 Paper presented during Session 3, Orbital Dynamics, Symposium C1, Astrodynamics, Paper Number 13. This paper investigates displaced periodic orbits at linear order in the circular restricted Earth-Moon system, where the third massless body is a solar ...
McInnes, Colin R., Simo, Jules
core
Complex periodic potentials with real band spectra
, 1998 This paper demonstrates that complex PT-symmetric periodic potentials possess real band spectra. However, there are significant qualitative differences in the band structure for these potentials when compared with conventional real periodic potentials ...
Belokolos +14 more
core +1 more source
Fractional-order differential equations with anti-periodic boundary conditions: a survey
, 2017 We will present an up-to-date review on anti-periodic boundary value problems of fractional-order differential equations and inclusions. Some recent and new results on nonlinear coupled fractional differential equations supplemented with coupled anti ...
R. Agarwal, B. Ahmad, A. Alsaedi
semanticscholar +1 more source
Second-order homogenization of periodic materials based on asymptotic approximation of the strain energy: formulation and validity limits [PDF]
, 2014 In this paper a second-order homogenization approach for periodic material is derived from an appropriate representation of the down-scaling that correlates the micro-displacement field to the macro-displacement field and the macro-strain tensors ...
A. Bacigalupo
semanticscholar +1 more source
On Periodic Solutions of Higher-Order Functional Differential Equations
Boundary Value Problems, 2008 For higher-order functional differential equations and, particularly, for nonautonomous differential equations with deviated arguments, new sufficient conditions for the existence and uniqueness of a periodic solution are established.
B. Půža +2 more
doaj +2 more sources
New periodic orbits in the solar sail restricted three body problem [PDF]
, 2008 In this paper we consider periodic orbits of a solar sail in the Earth-Sun restricted three-body problem. In particular, we consider orbits which are high above the ecliptic plane, in contrast to the classical Halo orbits about the collinear equilibria ...
Biggs, J.D., McInnes, C., Waters, Thomas
core
High-Order Variational Calculation for the Frequency of Time-Periodic Solutions
, 2002 We develop a convergent variational perturbation theory for the frequency of time-periodic solutions of nonlinear dynamical systems. The power of the theory is illustrated by applying it to the Duffing oscillator.Comment: Author Information under http ...
Axel Pelster +8 more
core +1 more source
Bounded and periodic solutions to the linear first-order difference equation on the integer domain
, 2017 The existence of bounded solutions to the linear first-order difference equation on the set of all integers is studied. Some sufficient conditions for the existence of solutions converging to zero when n→−∞$n\to -\infty$, as well as when n→+∞$n\to+\infty$
S. Stević
semanticscholar +1 more source
Monotone flows with dense periodic orbits [PDF]
, 2018 The main result is Theorem 1: A flow on a connected open set X ⊂ Rd is globally periodic provided (i) periodic points are dense in X, and (ii) at all positive times the flow preserves the partial order defined by a closed convex cone that has nonempty ...
Hirsch, MW
core +1 more source
Forward Symplectic Integrators and the Long Time Phase Error in Periodic Motions
, 2005 We show that when time-reversible symplectic algorithms are used to solve periodic motions, the energy error after one period is generally two orders higher than that of the algorithm.
B. Cano +13 more
core +4 more sources