Small perturbations of coherent information | Phys. Rev. A In this work, we develop perturbative methods for analyzing the behavior of first- and second-order derivatives of coherent information of a quantum channel with respect to small perturbations of the input state
Small-Perturbation Theory - University of Texas at Austin Now, the body has to be thin in order to satisfy our assumption that the induced velocities are relatively small This implies that the coordinate differs little from zero (say) on the surface of the body
The Swinging Sticks Pendulum: Small Perturbations Analysis - MDPI In this study, we examined the motions of small perturbations in a swinging stick pendulum and investigated how the dynamics of the system are affected by the initial shape of these small perturbations
Principle of Small Perturbations - ProofWiki From Invertibility of Identity Minus Operator, $T$ is an invertible bounded linear transformation with: Hence $\sequence {x_n}_ {n \mathop \in \N}$ and $\sequence {y_n}_ {n \mathop \in \N}$ are congruent
Small Perturbation Theory | Springer Nature Link From a practical point of view this implies that small perturbations are present This chapter develops and simplifies the aerodynamic equations and formulates the small perturbation theory
Using small perturbations to control chaos - Nature CHAOTIC systems are characterized by extreme sensitivity to tiny perturbations This characteristic, known as the 'butterfly effect', is often regarded as a troublesome property, and for many
Small perturbations are enough: - ACM Digital Library In this study, we prospectively examine the problem of time-series prediction adversarial attacks and propose an attack strategy for generating an adversarial time series by adding malicious perturbations to the original time series to deteriorate the performance of time-series prediction models
Small-Perturbation Theory - an overview | ScienceDirect Topics Assuming that the amplitude of vibration is small, one can use the small perturbation theory in which a section is fixed and the vibrating motion is applied only to the boundary condition