As we learned with the Innovator's Dilemma, new forms of disruption make it hard for managers in existing businesses to respond gracefully to these attacks; however, today we see that the move from the industrial world to a digital one is far more of a nonlinear shift than most even the most innovative incumbents are used to.
Binary De Bruijn sequences are a special class of nonlinear shift register sequences with full period L = 2 n : n is called the span of the sequence, i.e., the sequence may be generated by an n-stage shift register.
The net charges and extra coulombic force in metallic wall affect the energy of SPR and leads the nonlinear shifting.
The effects of some key parameters on the nonlinear frequency shift are described.
This paper presents an analytical method to investigate the nonlinear frequency shift of graphene elastic piezoelectric (GEP) laminated films as a resonant mass detector.
Based on an asymptotic method they derived and analyzed truncated equations for the complex mode amplitudes, and showed that the explosion is stabilized by a nonlinear frequency shift, while the high-frequency instability is analogous to the decay of low-frequency modes.
Simulation results show that as a one-channel filter, the resonance wavelengths show a linear red-shift with an increase in nanocavity length with a slope of 1742 nm/μm and a nonlinear blue-shift with an increase in nanocavity width, respectively.
Here, from Theorem 1.1 and Theorem 1.2, we get the following result on some nonlinear q-shift difference-differential equations.
Then the nonlinear q-shift difference-differential equation [ F 1 ( z ) ] ( k ) − p ( z ) = q ( z ) (4). has no transcendental meromorphic solution of zero order, provided that f ( q j z + c j ) ≠ f ( z ), j = 1, 2, …, d, and n ≥ λ + 1.
Then the nonlinear q-shift difference-differential equation [ F ( z ) ] ( k ) − p ( z ) = q ( z ) (3). has no transcendental meromorphic solution of zero order, provided that n ≥ λ + 1. Corollary 1.2 Let p ( z ), q ( z ) be nonzero polynomials and F 1 ( z ) be stated as in (2).
We have numerically investigated dissipative soliton (DS) fiber lasers using the cubic complex Ginzburg Landau equation (CGLE), and analyzed the effects of different parameters, including the cavity length (CL), the spectral filter bandwidth (SFBW), nonlinear phase shifts (ΦNL), and the initial fields.
