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A new derivation of a recently discussed conserved quantity is given using a general procedure which determines N constants of the motion for any N-dimensional system possessing a non-Noether… (More)
Abstract Noether's theorem is used to derive the Lewis invariant for the time-dependent harmonic oscillator. The application of the method to non-linear dynamical systems is discussed.
Abstract A simple, explicit formula is given for the number of primitive, stable N -cycles associated with unimodal iterations. The derivation is independent of the observation of Metropolis, Stein… (More)
The complete eight-parameter symmetry group of the one-dimensional harmonic oscillator is investigated using the fact that the system is describable by a variational principle. It is found that only… (More)
It is shown that discontinuities can develop in the propagation of initially smooth waves governed by a classical nonlinear theory of electrodynamics. The type of theory considered includes as a… (More)
A diode model has been constructed which simulates second breakdown and which allows for the calculation of junction temperature as a function of time in the reverse region. The model was generated… (More)
Abstract : A discussion is presented on the scaling of pressure-distance curves for a particular model of a nuclear explosion using an ideal-gas equation of state. A family of non-dimensional curves… (More)
Abstract Evidence is given for the existence of reverse multifurcation sequences in one-dimensional mappings, and the associated universal constants are described.
Abstract : A one-dimensional hydrodynamic finite-difference computer code (WUNDY), which evolved from the M. Wilkins KO-CODE of the University of California Radiation Laboratory, is described and… (More)
Abstract : Numerical computations, using a one-dimensional hydrodynamic code on an IBM 7090, were made for the detonation of 1-lb spheres of pentolite and TNT at sea level. Positive durations,… (More)