periodic orbit
Semiclassical study of atoms by periodic orbit theory: Diffraction in atoms
... This research was initially motivated by the need for more accurate semiclassical methods of interpretation and modelling of non-hydrogenic spectra in external fields. It combines two important theories, on one hand ...
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Bifurcation Analysis of Homoclinic Flips at Principal Eigenvalues Resonance
... One orbit flip and two inclination flips bifurcation is considered with resonant principal eigenvalues. We introduce a local active coordinate system to establish bifurcation equation and obtain the conditions ...
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Switching Regimes in Economics: The Contraction Mapping and the ω Limit Set
... Differential equations are ubiquitous in economics. Economic regimes, where there is a switching between them, fit particularly well within the framework of differential equations with discontinuous right-hand side, ...
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Continuity of the maps f↦∪x∈Iω(x,f) and f↦{ω(x,f):x∈I}
... In part of the sequel we will restrict our attention to a closed subset E of C(I ,I) com- posed of those functions f having zero topological entropy, denoted by h( f ) = 0. The reader is referred to [11, Theorem A] for ...
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Consumption of private goods as substitutes for environmental goods in an economic growth model
... the periodic orbit) by following an infinite number (a continuum) of growth paths, each characterized by different consumption patterns and welfare ...(or periodic orbit) can be reached along ...
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Dynamics of Modified Leslie-Gower Predator-Prey Model with Predator Harvesting
... The set is a Hopf bifurcation manifold of system (2). The stability of the periodic orbit created by the Hopf bifurcation is determined by the first Lyapunov value , see [4]. By calculating using ...
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Resonant Homoclinic Bifurcations with Orbit Flips and Inclination Flips
... 1-periodic orbit, some 1-periodic orbits and 1-homoclinic orbits, and the coexistence con- ditions of 1-periodic orbits and 1-homoclinic orbits are ...
6
Forced versus coupled dynamics in Earth system modelling and prediction
... identical periodic orbit which pos- sesses a stable manifold, the ensemble will tend to collapse onto the master ...a periodic or- bit. If the orbit is stable, locking will continue ...the ...
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Optimal design for a NEO tracking spacecraft formation
... Abstract—The following paper presents the design and methodology for developing an optimal set of spacecraft orbits for a NEO tracking mission. The spacecraft is designed to fly in close formation with the asteroid, ...
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Networks of piecewise linear neural mass models
... a periodic orbit, and that Floquet theory simplifies considerably to yield explicit formulas for determining solution ...again periodic orbits can be constructed using matrix exponentials, although ...
22
Dynamics of surface homeomorphisms : braid types and coexistence of periodic orbits
... about periodic orbits of homeomorphisms of the annulus, especially in the case where the homeomorphism is monotone twist and area-preserving ...a periodic orbit of period q, rotation number p/q and ...
147
Light levitated geostationary cylindrical orbits are feasible
... displaced periodic orbit satisfying the constraints ...displaced orbit is shown by the solid-line in ...displaced periodic orbit 10 km above the Earth equatorial ...displaced ...
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Persistent Markov partitions for rational maps
... critical orbit is attracted to an attractive or parabolic periodic ...parabolic periodic point, the open set is not contained in a single hyperbolic ...
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Optimal manoeuvring between quasi-periodic orbits
... a periodic orbit and a rendezvous scenario are discussed with respect to future missions, that have to cope with regular vehicle traffic, rendezvous and docking ...quasi-periodic orbit are ...
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Fictitious play in 3 x 3 games : chaos and dithering behaviour
... genuine periodic orbits of ...a periodic orbit corre- sponding to cyclic play (1, 2), (2, 2), (2, 3), (3, 3), (3, 1), (1, 1) (the Shapley orbit) which attracts an open set of initial ...
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Harmonic Analysis in Discrete Dynamical Systems
... In this paper we review several contributions made in the field of discrete dynamical systems, inspired by harmonic analysis. Within discrete dynamical systems, we focus exclusively on quadratic maps, both ...
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Magnetic Interactions in the Energy Operator Matrix of Configurations with s and i Electrons in External Shells
... The uncoupled moments representation (used by authors of [2]) is the most adequate because in it all calculations lead basically to calculation of 3j Wigner symbols (but not to 9j-symbols, like in LSJM-representation). ...
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Particle Orbit Analysis in the Finite Beta Plasma of the Large Helical Device using Real Coordinates
... 2 . 7%. In ( ψ − θ ) coordinates, the orbit of the passing par- ticle in β = 2.7% almost agrees with that in β = 0% (Fig. 5 (a)). In the rotating helical coordinate system, how- ever, there is a significant ...
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Survey of highly non-Keplerian orbits with low-thrust propulsion
... Earth orbit about the Sun, and further, indicated whether orbit injection errors (relative to the desired station) are correctable for a given mission profile and quantified tracking error correctability ...
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Orbit Closures and Invariants
... Étale slices are a powerful tool in geometric invariant theory. Let X be an affine G-variety and let x ∈ X such that G · x is closed. Luna introduced the notion of an étale slice through x [32, III.1]: this is a locally ...
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