Results 251 to 260 of about 5,559,654 (298)
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A theory of generalized Bloch oscillations
Journal of Physics: Condensed Matter, 2016Bloch oscillations of electrons are shown to occur for cases when the energy spectrum does not consist of the traditional evenly-spaced ladders and the potential gradient does not result from an external electric field. A theory of such generalized Bloch oscillations is presented and an exact calculation is given to confirm this phenomenon. Our results
Duggen, Lars; id_orcid 0000-0002-7489-8760 +3 more
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Theory of Mitotic Spindle Oscillations
Physical Review Letters, 2005During unequal cell division the mitotic spindle is positioned away from the center of the cell before cell cleavage. In many biological systems this repositioning is accompanied by oscillatory movements of the spindle. We present a theoretical description for mitotic spindle oscillations.
Grill, S., Kruse, K., Jülicher, F.
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ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1983
AbstractIn the first section of this paper we extend an interesting result due to Nehari and develop some related ideas. The remainder of the paper has principally to do with sufficient conditions for oscillation of solutions of differential equations of the form y'' + p(x) y = 0, where p(x) is at least piecewise continuous on I: (a, ∞) and changes ...
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AbstractIn the first section of this paper we extend an interesting result due to Nehari and develop some related ideas. The remainder of the paper has principally to do with sufficient conditions for oscillation of solutions of differential equations of the form y'' + p(x) y = 0, where p(x) is at least piecewise continuous on I: (a, ∞) and changes ...
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Theory of the Relativistic Oscillator
American Journal of Physics, 1957This 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.
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The Sturmian Theory of Oscillations
The Mathematical Gazette, 1954The 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.
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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)
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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)
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Zeitschrift für Analysis und ihre Anwendungen, 1990
The author uses a version of Gårding's inequality to obtain a (nodally oscillatory) comparison theorem which can then be used to extend his earlier non-oscillation theorems [the author, Math. Nachr. 141, 289- 297 (1989; Zbl 0682.35008)] to the equation \[ \sum_{|\alpha|,|\beta|=0}^ m(- 1)^{|\alpha|}D^ \alpha [A_{\alpha\beta}(x)D^ \beta u]=0, \] where \(
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The author uses a version of Gårding's inequality to obtain a (nodally oscillatory) comparison theorem which can then be used to extend his earlier non-oscillation theorems [the author, Math. Nachr. 141, 289- 297 (1989; Zbl 0682.35008)] to the equation \[ \sum_{|\alpha|,|\beta|=0}^ m(- 1)^{|\alpha|}D^ \alpha [A_{\alpha\beta}(x)D^ \beta u]=0, \] where \(
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Bistable Oscillator Theory Revisited
International Applied Mechanics, 2002The 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.
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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.
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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.
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Theory of Plasma Oscillations. B. Excitation and Damping of Oscillations
Physical Review, 1949The 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.
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