Results 211 to 220 of about 10,848 (254)

On Complex Oscillation Theory

Results in Mathematics, 2005
Given \(A(z)\) entire, it is well known that all solutions of \[ y^{(k)}+A(z)y=0 \] are entire functions. The main result in the present paper is the following theorem: Suppose \(\rho(A)
openaire   +2 more sources

The Sturmian Theory of Oscillations

The Mathematical Gazette, 1954
The Sturmian theory is concerned with the number of zeros that a solution of a linear differential equation of the second order may have in a given interval of the independent variable. As usually presented ( e.g.
openaire   +1 more source

Bistable Oscillator Theory Revisited

International Applied Mechanics, 2002
The authors discuss dynamics of a bistable oscillator. Boundaries of motion manifolds are constructed which correspond to three different types of regular trajectories.
Martynyuk, A. A., Nikitina, N. V.
openaire   +2 more sources

Theory of the Relativistic Oscillator

American Journal of Physics, 1957
This is a study of the motions of a particle subject to the restoring force exerted by a linear spring, under the assumption that the mass depends upon the speed according to the formula given by the theory of special relativity.
openaire   +2 more sources

Theory of Plasma Oscillations. B. Excitation and Damping of Oscillations

Physical Review, 1949
The theory of electron oscillations of an unbounded plasma is extended to take into account the effects of collisions and special groups of particles having well-defined ranges of velocities. It is found that as a result of collisions a wave tends to be damped in a time of the order of the mean time between collisions.
Bohm, D., Gross, E. P.
openaire   +1 more source

The theory of prey-predator oscillations

Theoretical Population Biology, 1976
Abstract A general prey-predator model is formulated and the conditions for the occurrence of limit cycles are discussed. The effects of random environmental fluctuations on a stable equilibrium and on a limit cycle are investigated. Data on the 4- and 10-yr cycles are analysed by computing the periodogram and the results are compared with the ...
openaire   +2 more sources

Theory of Oscillations

1999
Preliminary representations and analyses of motion family behaviour on behaviour of trajectories in the neighbourhood of a periodic orbit natural and forced oscillations in systems with many degrees of freedom oscillations in nonlinear and controlled systems. Appendix: theory of rated stability.
openaire   +1 more source

Theory of a quantum anharmonic oscillator

Physical Review A, 1988
The time evolution of a quantum single-quartic anharmonic oscillator is considered. The study is carried on in operational form by use of the raising and lowering operators of the oscillator. The equation of motion is solved by application of a new integration method based on iteration techniques, and the rigorous solutions that describe the time ...
openaire   +2 more sources

An Example in the Theory of Nonlinear Oscillations

SIAM Journal on Applied Mathematics, 1969
We shall show that condition (4), in conjunction with all the conditions of the theorem except (2), is not sufficient. Whether it is necessary is apparently still open. However, results in [4] show that Wong's conjecture is true in the case where f(x) is also nondecreasing (or bracketed between two nondecreasing functions that satisfy (4)). An analysis
openaire   +2 more sources

The Matrix Theory of Torsional Oscillations

Journal of Applied Physics, 1942
The general case of vibration of a shaft with several rotating masses is discussed. The analysis is reduced to a simple matrix multiplication of second-order matrices and the natural frequencies of symmetrical systems are discussed. The connection of the matrix method and the well-known Holzer method of computing the natural frequencies of torsional ...
openaire   +1 more source