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Basic results in the rigorous theory of weighted dynamical zeta functions or dynamically defined generalized Fredholm determinants are presented. Analytic properties of the zeta functions or d...
Abstract: An efficient method for numerical calculation of the dielectrically screened ("dressed") potential around a moving test particle is presented, and illustrated using results calculated for tw...
Abstract: A general semi-analytical method for accurate and efficient numerical calculation of the dielectrically screened ("dressed") potential around a non-relativistic test particle moving in an is...
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. ...
It is shown that in a Minkowski space of total space-time dimension D = d + 1, the orbits of the planetary motion are stable only if the total dimension of space-time is D  4. The proof is performed ...
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...
Exact analytic expressions for planetary orbits and light trajectories in the Schwarzschild geometry are presented. A new parameter space is used to characterize all possible planetary orbits. Differe...
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...

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