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Techniques for measuring second-order nonlinearities

Second order nonlinearities in silicon photonics

Second order nonlinearities in silicon photonics

... Higher order effects are also possible, but they require larger applied ...for second- and third-order nonlinearities is ...possess second order nonlinearities ...and ...

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On  second  order  nonlinearities  of  cubic  monomial  Boolean  functions

On second order nonlinearities of cubic monomial Boolean functions

... g(x) = f (Ax + b) + φ λ (x) + , for all x ∈ F 2 n . The set of all Boolean functions of n variables of degree at most r is said to be the Reed- Muller code, RM (r, n), of length 2 n and order r. Definition 1 ...

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Forced oscillation of second order differential equations with mixed nonlinearities

Forced oscillation of second order differential equations with mixed nonlinearities

... 11. Zheng, ZW, Wang, X, Han, HM: Oscillation criteria for forced second order differential equations with mixed nonlinearities. Appl. Math. Lett. 22, 1096-1101 (2009) 12. Zhong, J, Ouyang, Z, Zou, S: ...

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Oscillation Criteria for Second Order Forced Dynamic Equations with Mixed Nonlinearities

Oscillation Criteria for Second Order Forced Dynamic Equations with Mixed Nonlinearities

... q i tΦ β i x 1.10 by using a Riccati substitution and an inequality of geometric-arithmetic mean type. As it is indicated in 34, further research on the oscillation of equations of mixed type is necessary as such ...

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New Oscillation Results for Forced Second Order Differential Equations with Mixed Nonlinearities

New Oscillation Results for Forced Second Order Differential Equations with Mixed Nonlinearities

... Received November 17, 2011; revised December 17, 2011; accepted December 25, 2011 ABSTRACT Some new oscillation criteria are given for forced second order differential equations with mixed ...

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Oscillation Criteria for Second Order Neutral Delay Dynamic Equations with Mixed Nonlinearities

Oscillation Criteria for Second Order Neutral Delay Dynamic Equations with Mixed Nonlinearities

... 1. Introduction Since the introduction of time scale calculus by Stefan Hilger in 1988, there has been great interest in studying the qualitative behavior of dynamic equations on time scales, see, for example, 1–3 and ...

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Interval criteria for oscillation of second-order impulsive delaydifferential equation with mixed nonlinearities

Interval criteria for oscillation of second-order impulsive delaydifferential equation with mixed nonlinearities

... Zafer, Oscillation of solutions of second order mixed nonlinear differential equations under impulsive perturbations, Comput. Philos, Oscillation theorems for linear differential equatio[r] ...

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On  second-order  nonlinearities  of  some $\mathcal{D}_0$  type  bent  functions

On second-order nonlinearities of some $\mathcal{D}_0$ type bent functions

... involves nonlinearities of D a f , the first derivative of f , at each a ∈ F n 2 ...The nonlinearities of quadratic and affine functions are well known ([9], ...of second-order ...

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Second Order Nonlinearities of Some Classes of Cubic Boolean Functions Based on Secondary Constructions

Second Order Nonlinearities of Some Classes of Cubic Boolean Functions Based on Secondary Constructions

... first order nonlinearity of a Boolean function on n variables can be computed by using fast Walsh transform in time o(n2 n ...compute second-order nonlinearities ...

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Nonlinearities and the order of integration of oil prices

Nonlinearities and the order of integration of oil prices

... The implications of the results are important not only from a theoretical point of view, but also for policy making decisions. Should the price of oil be an integrated process, any shock over the variable has permanent ...

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On   lower  bounds  of  second-order  nonlinearities  of  cubic  bent  functions  constructed  by  concatenating  Gold  functions

On lower bounds of second-order nonlinearities of cubic bent functions constructed by concatenating Gold functions

... of second-order nonlinearities of these functions is ...of second-order nonlinear- ities obtained for functions belonging to some other classes of functions which are recently ...

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Global Structure of Nodal Solutions for Second-Order m-Point Boundary Value Problems with Superlinear Nonlinearities

Global Structure of Nodal Solutions for Second-Order m-Point Boundary Value Problems with Superlinear Nonlinearities

... for second-order, m-point, boundary value problems,” Nonlinear Analysis: Theory, Methods & Applications, ...for second-order m-point boundary value problems with nonlinearities across ...

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Quasi-periodic solutions for second order differential equation with superlinear asymmetric nonlinearities and nonlinear damping term

Quasi-periodic solutions for second order differential equation with superlinear asymmetric nonlinearities and nonlinear damping term

... In the last two decades, there has been an increasing interest in obtaining sufficient con- ditions for the existence of Aubry-Mather sets and quasi-periodic solutions due to such solutions providing a rather complete ...

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Periodic boundary value problem for second order integro ordinary differential equations with general kernel and Carathéodory nonlinearities

Periodic boundary value problem for second order integro ordinary differential equations with general kernel and Carathéodory nonlinearities

... value problem (PBVP) for a linear second order ordinary differential equation.. LINEAR INTEGRO-DIFFERENTIAL EQUATIONS.[r] ...

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Ablation and optical third-order nonlinearities in Ag nanoparticles

Ablation and optical third-order nonlinearities in Ag nanoparticles

... nano- second laser ablation suggest that the linear absorption in metallic nanostructures is the main process ...optical nonlinearities could also be present during picosecond ...optical ...

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Detection and diagnosis of system nonlinearities using higher order statistics

Detection and diagnosis of system nonlinearities using higher order statistics

... Higher Order Statistical (HOS) techniques have been developed over the last two decades, but until now have not been applied to the area of process ...higher order statistical tools such as cumulants ...

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Third-order  nonlinearities  of  some  biquadratic  monomial  Boolean  functions

Third-order nonlinearities of some biquadratic monomial Boolean functions

... 6. Courtois, N.: Higher Order Correlation Attacks, XL Algorithm and Cryptanalysis of Toyocrypt. In Proc. of the ICISC’02, LNCS, 2587, 182-199, Springer Verlag (2002). 7. Fourquet, R., Tavernier, C.: An Improved ...

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Model order reduction for large-scale structures with local nonlinearities

Model order reduction for large-scale structures with local nonlinearities

... Abstract In solid mechanics, linear structures often exhibit (local) nonlinear behavior when close to failure. For instance, the elastic deformation of a structure becomes plastic after being deformed beyond recovery. To ...

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Duluth : Measuring Cross Level Semantic Similarity with First and Second Order Dictionary Overlaps

Duluth : Measuring Cross Level Semantic Similarity with First and Second Order Dictionary Overlaps

... These are both first–order methods where defini- tions are directly compared with each other, or with the surrounding context. In the Duluth systems, we measure overlaps by summing the number of words shared ...

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Measuring Excellent Leadership in Public Relations: A Second-Order Factor Model in the Dimension of Self-Dynamics

Measuring Excellent Leadership in Public Relations: A Second-Order Factor Model in the Dimension of Self-Dynamics

... operationalization. Second, the process of item development reflects unique communication functions and values associated with public relations practice, which have not been subjected to quantitative ...

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