Results 201 to 210 of about 8,079 (237)
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Connection across a Separatrix with Dissipation
Studies in Applied Mathematics, 1994Dissipative perturbations of strongly nonlinear oscillators that correspond to slowly varying double‐well potentials are considered. The method of averaging, which describes the solution as nearly periodic, fails as the trajectory approaches the unperturbed separatrix, a homoclinic orbit of the saddle point, significantly before it is captured in ...
Bourland, F. Jay, Haberman, Richard
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Semiclassical quantization of a separatrix map
Physical Review E, 1996Semiclassical quantization of a separatrix map is presented. An effective Hamiltonian is constructed as a function of the action-angle canonical pair. The quantum dynamics of the system is analyzed for the case of high-frequency perturbation. An explicit form of the Floquet evolution operator is obtained in the unperturbed basis.
, Iomin, , Fishman
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Semiclassical quantization of separatrix maps
Physical Review E, 2003Quantization of energy balance equations, which describe a separatrixlike motion is presented. The method is based on an exact canonical transformation of the energy-time pair to the action-angle canonical pair, (E,t)-->(I,theta). Quantum mechanical dynamics can be studied in the framework of the new Hamiltonian.
A, Iomin, S, Fishman, G M, Zaslavsky
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2009
The separatrix map was invented to study dynamical systems near asymptotic manifolds. It was introduced by Zaslavsky and Filonenko (Zh. Eksp. Teor. Fiz. 54:1590–1602, 1968) (see also Chirikov in Phys. Rep. 52(5):263–379, 1979; Filonenko et al. in Nucl. Fus.
Dmitry Treschev, Oleg Zubelevich
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The separatrix map was invented to study dynamical systems near asymptotic manifolds. It was introduced by Zaslavsky and Filonenko (Zh. Eksp. Teor. Fiz. 54:1590–1602, 1968) (see also Chirikov in Phys. Rep. 52(5):263–379, 1979; Filonenko et al. in Nucl. Fus.
Dmitry Treschev, Oleg Zubelevich
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Transitions induced by separatrix crossing
Physical Review A, 1992We discuss the role of separatrix crossing in a classical Hamiltonian system for a description of transitions in the corresponding quantum system. We develop a simple picture of resonant trapping of classical states and its semiclassical analog. Its relevance is illustrated by numerical analysis and by pointing out its verification in microwave ...
, Dietz, , Henkel, , Holthaus
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Physical Review E, 2018
The supercritical phase of fluids has long been known to feature significantly different liquidlike and gaslike regimes. However, it is textbook knowledge that the supercritical state is a homogeneous fluid phase where properties change continuously ...
Philipp Schienbein, D. Marx
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The supercritical phase of fluids has long been known to feature significantly different liquidlike and gaslike regimes. However, it is textbook knowledge that the supercritical state is a homogeneous fluid phase where properties change continuously ...
Philipp Schienbein, D. Marx
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Magnetohydrodynamic Stability of a Toroidal Plasma’s Separatrix
Physical Review Letters, 2009Large tokamaks capable of fusion power production such as ITER, should avoid large edge localized modes (ELMs), thought to be triggered by an ideal magnetohydrodynamic instability due to current at the plasma's separatrix boundary. Unlike analytical work in a cylindrical approximation, numerical work finds the modes are stable.
A J, Webster, C G, Gimblett
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Probability phenomena due to separatrix crossing
Chaos: An Interdisciplinary Journal of Nonlinear Science, 1991The effect of a small or slow perturbation on a Hamiltonian system with one degree of freedom is considered. It is assumed that the phase portrait (‘‘phase plane’’) of the unperturbed system is divided by separatrices into several regions and that under the action of the perturbations phase points can cross these separatrices.
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Magnetic separatrix experiments in JET
Nuclear Fusion, 1987Magnetic separatrix configurations have been produced in JET for plasma currents of up to 3 MA. Experimental results obtained with these configurations show that some features can be achieved that are common to divertor tokamaks. In Ohmic discharges, high recycling regimes can be produced.
A. Tanga +21 more
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