In the hypothesis that the solar corona is in a state of self-organized criticality, the stressing of the magnetic field should be enhanced until a
small perturbation switches on many small instabilities, happening together as it occurs in avalanches.
They present a unified analysis of the general linear and nonlinear systems of algebraic equations that depend on a
small perturbation parameter.
In the absence of control, a
small perturbation can cause the system to crash to the null state.
where the positive and negative energy levels in (4) now overlap, and where any
small perturbation to the PV can result in an electron-positron pair being created (the electron traveling in free space and the positron in the PV).
Here we focus on the strategy to control transport properties without significantly altering neither the original structure of the system under investigation nor its overall chaotic structure which is based on building barriers by adding a
small perturbation which is localized in phase space, hence confining all the trajectories.
Topics include the
small perturbation surface backscattering model, the simplified integral equation surface backscattering model, the IEM-B surface backscattering model and its bistatic properties, backscatter from multiscale surfaces, the standard moment method, a model for scattering from a low-dielectric layer of Rayleigh scatterers with irregular layer boundaries, and emission models for rough surfaces and a Rayleigh layer with irregular layer boundaries.
i+1]) a
small perturbation of the initial conditions [{[delta]}.
Any
small perturbation caused by viscosity or temperature gradient can trigger the asymmetry of gas (water) tips in the parts and result in fingerings.
Under the
small perturbation of [phi], some changes have taken place about the dual of Wegl-Heisenberg frames.
Chaos theory in action, I speculated, where a
small perturbation somewhere gets unpredictably amplified so that it causes far-reaching consequences elsewhere.
Chen and his co-authors received the Best International Paper award for their article, "Effect of Cu Concentration on the Solid-State Aging Reactions Between SnCu Lead-Free Solders and NL" The work extended the authors' earlier effort to investigate the effect of a
small perturbation in the copper concentration on the solid-state aging reaction between the tin-copper (Sn-Cu) solders and nickel (Ni).
An evolutionarily stable strategy is stable against a single
small perturbation.
