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Bulletin of Mathematical Biology, 2014
We consider a simple mesoscopic model of DNA in which the binding of the RNA polymerase enzyme molecule to the promoter sequence of the DNA is included through a substrate energy term modeling the enzymatic interaction with the DNA strands. We focus on the differential system for solitary waves and derive conditions--in terms of the model parameters ...
Deborah Lacitignola +1 more
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We consider a simple mesoscopic model of DNA in which the binding of the RNA polymerase enzyme molecule to the promoter sequence of the DNA is included through a substrate energy term modeling the enzymatic interaction with the DNA strands. We focus on the differential system for solitary waves and derive conditions--in terms of the model parameters ...
Deborah Lacitignola +1 more
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Generalized Parametric Resonance
SIAM Journal on Applied Dynamical Systems, 2016Summary: We consider the dynamic response of systems subjected to principal parametric resonant excitation in which the full potential, including nonlinearities, is modulated in a time-periodic manner. This work was motivated by the model of \textit{J. F. Rhoads} et al.
Oriel Shoshani, Steven W. Shaw
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Parametric Resonant Control of Chaos
International Journal of Bifurcation and Chaos, 1998A concise account is given of the early motivations for introducing parametric methods to achieve control of chaos. The heuristic argument that made us think that this kind of method could have been successful is also given. A key study is then reviewed.
Lima, Ricardo, Pettini, Marco
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Computing in Science & Engineering, 1999
Computer simulation experiments are especially good tools for helping students understand basic principles of physics. In this a, I have developed a package of simulation programs called Physics of Oscillations. One of its programs is suited for examining the phenomenon of paramagnetic resonance in a linear system.
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Computer simulation experiments are especially good tools for helping students understand basic principles of physics. In this a, I have developed a package of simulation programs called Physics of Oscillations. One of its programs is suited for examining the phenomenon of paramagnetic resonance in a linear system.
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An Introduction to Parametric Resonance
2011In many engineering, physical, electrical, chemical, and biological systems, oscillatory behavior of the dynamic system due to periodic excitation is of great interest. Two kinds of oscillatory responses can be distinguished: forced oscillations and parametric oscillations.
Pena Ramirez, J. +2 more
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A parametric resonance in semiconductors
Solid State Communications, 1981Abstract A parametric instability and its associated negative electromagnetic absorption have been predicted for semiconductors. The stabilizing mechanism and the resonance line form have been analyzed.
I.E. Aronov, E.A. Kaner, A.A. Slutskin
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Analysis of parametric resonance in magnetohydrodynamics
European Journal of Mechanics - B/Fluids, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On a parametric resonance problem
Proceedings. 2005 International Conference Physics and Control, 2005., 2006In the paper a problem of finding instability domains of a rotating system with periodically varying moment of inertia is considered. An equation describing small torsional oscillations of the system with periodic coefficients dependent on four parameters including damping is derived.
A.P. Seyranian, C. Cattani
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Bifurcational Aspects of Parametric Resonance
1992Generic nonlinear oscillators with parametric forcing are considered near resonance. This can be seen as a case-study in the bifurcation theory of Hamiltonian systems with or without certain discrete symmetries. In the analysis, among other things, structure preserving normal form or averaging techniques are used, as well as equivariant singularity ...
Broer, Hendrik, Vegter, Gert
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Parametric and autoparametric resonance
1996Parametric resonance may arise in a mechanical system, the Excited System, in which one of the forces is varying periodically. The classical example is a pendulum with a suspension point which moves harmonically in the vertical direction. We shall discuss a fairly general one degree of freedom, parametrically excited system in section 2. This system is
M. Ruijgrok, F. Verhulst
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