The problem of uniqueness of limit cycles for the Li茅nard equation x+f(x)x+g(x)=0 is investigated. The classical assumption of sign-definiteness of f(x) is relaxed. The effectiveness of our result as a perturbation technique is illustrated by some constructive examples of small amplitude ...
Concerning the size of the Rashba and Dresselhaus couplings, our analysis shows a sizable, nonvanishing anomalous phase in the presence of an out-of-plane magnetic field for values from 0.01 to 0.3, in units of the effective electron hopping amplitude t. We notice that t is an effective ...
The VIN+ inputs are coupled to the signal source and must have an amplitude within the selected range for that channel as program- med in the range register. A dc input is applied to the VIN− pin. The voltage applied to this input provides an offset for the VIN+ input from ground ...
We investigate the existence of ground state sign-changing solutions for the following elliptic equation of Kirchhoff type: (1+b∫R3g2(u)|∇u|2dx)[−div(g2(u)∇u)+g(u)g′(u)|∇u|2]+V(x)u=K(x)f(u),where x∈R3,b>0,g∈C1(R,R+),V(x), and K...
For amplitude data, a positive value indicates that the magnitude of the total observed magnetic field (\mathbf{B_p + B_s}) is larger than the Earth's inducing field (\mathbf{B_p}); i.e. | \mathbf{B_p + B_s} | > |\mathbf{B_p} |. The opposite is true for negative data ...
From these two ingredients, we can imme- diately determine the sign (sign(PS ) = −1 for Ny even) and the power law of the decrease of the persistent cur- rent at strong interaction strength. The leading term of the amplitude (22) is given by I˜(4) ≈ 2 t4 U3 Sf ǫα1...
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amplitude is assumed to be 1): g(x) = e − (x−α) 2 2w 2 (3) The convolution of g(x) and f (x) becomes F(x) = 1 √ 2πσ t ∞ −∞ e − (τ−α) 2 2w 2 (x −τ) 2 −σ 2 e − (x−τ) 2 2σ 2 dτ(4) The above equation shows the re...
We implemented a Kalman filter as a discrete-time instance of a recursive Gaussian filter35 which sequentially calculates an estimate for a state x(k), the heart rate, with a Gaussian probability density that evolves over time k according to the stochastic difference equation: x(k) = F(...
Sign language is the visual language of deaf people. It is also natural language, different in form from spoken language. To resolve a communication barrier between hearing people and deaf, several researches for automatic sign language recognition (ASLR) system are now under way. However, existing...