Gerald H. Katzin

Physics and Astronomy · Physical Sciences

13h-index721citations28works0.02yr avg
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Research Topics

Quantum chaos and dynamical systems(8), Nonlinear Waves and Solitons(7), Relativity and Gravitational Theory(6), Black Holes and Theoretical Physics(5), Cosmology and Gravitation Theories(5)

Publications28 total

Application of Symmetry Analysis to Dynamical Systems.
1995
On symmetries, conservation laws, and variational problems for partial differential equations
Journal of Mathematical Physics·1994· 25 cited
Characteristic functional structure of infinitesimal symmetry mappings of classical dynamical systems. IV. Classical (velocity-independent) mappings of second-order differential equations
Journal of Mathematical Physics·1989
Characteristic functional structure of infinitesimal symmetry mappings of classical dynamical systems. III. Systems with cyclic variables
Journal of Mathematical Physics·1986· 2 cited
Characteristic functional structure of infinitesimal symmetry mappings of classical dynamical systems. II. Mappings of first-order differential equations
Journal of Mathematical Physics·1985· 9 cited
Characteristic functional structure of infinitesimal symmetry mappings of classical dynamical systems. I. Velocity-dependent mappings of second-order differential equations
Journal of Mathematical Physics·1985· 13 cited
Time-dependent vector constants of motion, symmetries, and orbit equations for the dynamical system <b>r</b>=<i>i</i><i>r</i>{[<i>U</i>(<i>t</i>)/<i>U</i>(<i>t</i>)]<i>r</i> −[μ/<i>U</i>(<i>t</i>)]<i>r</i>−2}
Journal of Mathematical Physics·1983· 28 cited
Time-dependent quadratic constants of motion, symmetries, and orbit equations for classical particle dynamical systems with time-dependent Kepler potentials
Journal of Mathematical Physics·1982· 22 cited
Geodesic first integrals with explicit path-parameter dependence in Riemannian space–times
Journal of Mathematical Physics·1981· 51 cited
Charge conservation as a concomitant of conformal motions coupled to generalized gauge transformations
Journal of Mathematical Physics·1980· 1 cited
Note on conservation laws based upon traceless energy-momentum tensors in flat space-time
Reports on Mathematical Physics·1979
Energy–momentum tensor symmetries and concomitant conservation laws. I. Einstein-massless-scalar (meson) field
Journal of Mathematical Physics·1978· 3 cited
Symmetries of the energy-momentum tensor and concomitant conservation laws
Lettere al nuovo cimento della societa italiana di fisica/Lettere al nuovo cimento·1978
Time-dependent dynamical symmetries and constants of motion. III. Time-dependent harmonic oscillator
Journal of Mathematical Physics·1977· 28 cited
Time-dependent dynamical symmetry mappings and associated constants of motion for classical particle systems. II
Journal of Mathematical Physics·1977· 9 cited
A gauge invariant formulation of time-dependent dynamical symmetry mappings and associated constants of motion for Lagrangian particle mechanics. I
Journal of Mathematical Physics·1976· 32 cited
Time−dependent dynamical symmetries, associated constants of motion, and symmetry deformations of the Hamiltonian in classical particle systems
Journal of Mathematical Physics·1975· 11 cited
Dynamical symmetries and constants of the motion for classical particle systems
Journal of Mathematical Physics·1974· 37 cited
Symmetry mappings of constrained dynamical systems and an associated related integral theorem
Journal of Mathematical Physics·1973· 7 cited
Related integral theorem. II. A method for obtaining quadratic constants of the motion for conservative dynamical systems admitting symmetries
Journal of Mathematical Physics·1973· 26 cited
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Frequent Co-authors

Jack Levine(20), W. Rhett Davis(4), V. Rosenhaus(2), Robert N. Sane(1), James W. York(1), Raymond L. Murray(1), A.L. Mowery(1), John Levine(1)