For other uses, see Oscillation theory (disambiguation).
In mathematics, in the field of ordinary differential equations, a nontrivial solution to an ordinary differential equation
is called oscillating if it has an infinite number of roots; otherwise it is called non-oscillating. The differential equation is called oscillating if it has an oscillating solution.
The number of roots carries also information on the spectrum of associated boundary value problems.
and 20 Related for: Oscillation theory information
0 {\displaystyle y''+y=0} is oscillating as sin(x) is a solution. Oscillationtheory was initiated by Jacques Charles François Sturm in his investigations...
mechanical oscillation. Oscillation, especially rapid oscillation, may be an undesirable phenomenon in process control and control theory (e.g. in sliding...
Neutrino oscillation is a quantum mechanical phenomenon in which a neutrino created with a specific lepton family number ("lepton flavor": electron, muon...
crater theory Expanding Earth theory (superseded by subduction) Contracting Earth Geosyncline theory Haarman's Oscillationtheory Various lost landmasses including...
clear evidence that nature is described by any Grand Unified Theory. Neutrino oscillations have led to renewed interest toward certain GUT such as SO(10)...
S2CID 123156830. R. N. Mohapatra (2009). "Neutron-Anti-Neutron Oscillation: Theory and Phenomenology". Journal of Physics G. 36 (10): 104006. arXiv:0902...
Neural oscillations, or brainwaves, are rhythmic or repetitive patterns of neural activity in the central nervous system. Neural tissue can generate oscillatory...
bifurcation theory, a bounded oscillation that is born without loss of stability of stationary set is called a hidden oscillation. In nonlinear control theory, the...
fundamental issues addressed by control theory. Parasitic oscillation is undesirable for several reasons. The oscillations may be coupled into other circuits...
Point Theory and Applications, Cambridge University Press, Cambridge, 2001, 170pp. R.P. Agarwal, S.R. Grace and D. O’Regan, OscillationTheory for Difference...
fundamental parameters of the standard model, the strong CP problem, neutrino oscillations, matter–antimatter asymmetry, and the nature of dark matter and dark...
A theory of everything (TOE), final theory, ultimate theory, unified field theory or master theory is a hypothetical, singular, all-encompassing, coherent...
within a decaying envelope. The more underdamped the system, the more oscillations and longer it takes to reach steady-state. Here damping ratio is always...
geologist known for his tectonic theories. In a 1930 publication Haarmann wrote in detail about his oscillationtheory to explain movements, structure...
functions of bounded mean oscillation (BMO), is a function space that, in some precise sense, plays the same role in the theory of Hardy spaces Hp that...
density much smaller than a zero-point energy suggested by quantum field theory? (more unsolved problems in physics) In cosmology, the cosmological constant...
turbulence in fluid motion and nonperiodic oscillation in radio circuits without the benefit of a theory to explain what they were seeing. Despite initial...
provides the best formulation of the dynamics of the theory of quantum gravity – a quantum field theory where the invariance under diffeomorphisms of general...
harmonic oscillator, and it undergoes simple harmonic motion: sinusoidal oscillations about the equilibrium point, with a constant amplitude and a constant...
of windmills. Maxwell described and analyzed the phenomenon of self-oscillation, in which lags in the system may lead to overcompensation and unstable...
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