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Abstract: Spectral properties of the Hamiltonian function which characterizes a trapped ion are investigated. In order to study semiclassical dynamics of trapped ions, coherent state orbits are introd...
Orbits of the Kepler problem via polar reciprocals.
Approximate action-angle variables for the figure-eight and other periodic three-body orbits.
We use the maximally permutation symmetric set of three-body coordinates, that consist of the “hyper-radius” R = p2 + 2, the “rescaled area of the triangle” p3 2R2 | × |) and the (braiding) hyp...
Predicting nonequilibrium fluctuations requires a knowledge of nonequilibrium distribution functions.Despite the distributions’ fractal character some theoretical results, “Fluctuation Theorems”,remin...
Compact formulas for trapped-particle and passing-particle guiding-center orbits in axisymmetric tokamak geometry are given in terms of the Jacobi elliptic functions and complete elliptic integrals. ...
We study the quantum-classical correspondence in terms of coherent wave functions of a charged particle in two-dimensional central-scalar-potentials as well as the gauge field of a magnetic flux in t...
The recent paper claims that mean characteristics of chaotic orbits differ from the corresponding values averaged over the set of unstable periodic orbits, embedded in the chaotic attractor. We demons...
An infinite number of unstable periodic orbits (UPOs) are embedded in a chaotic system which models some complex phenomenon. Several algorithms which extract UPOs numerically from continuous-time chao...
The chaotic dynamics of Alfvén waves in space plasmas governed by the derivative nonlinear Schrödinger equation, in the low-dimensional limit described by stationary spatial solutions, is studied...
Unstable periodic orbit (UPO) recently has become a keyword in analyzing complex phenomena in geophysical fluid dynamics and space physics. In this paper, sets of UPOs in low dimensional maps are theo...
2007Vol.47No.5pp.887-891DOI: Correspondence Between Oscillations and Emitted Photon Closed-Orbits in Spontaneous Emission Rate of an Atom Near a Dielectric Slab YUN Su-Jun,1 WANG...
2003Vol.40No.5pp.527-532DOI: Controlling Spatiotemporal Chaos in Coupled Map Lattices to Periodic Orbits ZHU Kai-En, CHEN Tian-Lun, and BIAN Guo-Xing Institute of Physic...
2003Vol.39No.6pp.705-708DOI: Double-Pulse Spectra and Closed-Orbits: Photodetachment of H- in Parallel Electric and Magnetic Fields DU Meng-Li Institute of Theoretical ...
2004Vol.42No.2pp.183-184DOI: Noncommutative Geometry and Classical Orbits of Particles in a Central Force Potential B. Mirza1,2 and M. Dehghani1 1 Department of Physics,...

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