On the equivalence of nonlinear functions
WebIn this work, we deal with the problem of approximating and equivalently formulating generic nonlinear systems by means of specific classes thereof. Bilinear and quadratic-bilinear systems accomplish precisely this goal. Hence, by means of exact and inexact lifting transformations, we are able to reformulate the original nonlinear dynamics into a … http://www.math.rwth-aachen.de/~Gabriele.Nebe/papers/bbmnfinal1.pdf
On the equivalence of nonlinear functions
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Web11 de abr. de 2024 · Nonlinear invariants of round transformations in XSL-schemes are studied. The emphasis is on invariants which may be found by means of the approach suggested at the conference ASIACRYPT 2016. Some ... WebStream Cipher Equivalence We consider (nonlinear) equivalence of LFSR-based stream ciphers using basic properties of Galois elds. We thus construct isomorphism classes of stream ciphers. The topic has been studied before in the context of block ciphers (e.g. [BB02], [MR02]). In our case, we show however that several important cryptographic
Web4)An useful byproduct of the proposed equivalence between Koopman and contraction approaches is that we may learn contraction metrics for stable nonlinear systems from pure trajectory data. Notation. h;iand jjrepresent standard inner product and norm in the Euclidean space, respectively. All mappings and functions are assumed smooth. Web14 de abr. de 2024 · In this paper, we mainly study the equivalence and computing between Nash equilibria and the solutions to the system of equations. First, we establish a new equivalence theorem between Nash equilibria of $ n $-person noncooperative games and solutions of algebraic equations with parameters, that is, finding a Nash equilibrium …
Web10 de jun. de 2013 · Proper initialization of fractional-order operators has been an ongoing problem, particularly in the application of Laplace transforms with correct initialization terms. In the last few years, a history-function-based initialization along with its corresponding Laplace transform has been presented. Alternatively, an infinite-dimensional state-space … WebThis brief report studies conditions to ensure the nonexistence of finite-time stable equilibria in a class of systems that are described by means of nonlinear integral equations, whose kernels are part of some Sonine kernel pairs. It is firstly demonstrated that, under certain criteria, a real-valued function that converges in finite-time to a constant value, different …
WebRecently, many new almost perfect nonlinear (APN) and almost bent (AB) functions have been constructed. These functions F n 2 → F n 2 play an important role in …
Web7 de nov. de 2024 · Two important problems on almost perfect nonlinear (APN) functions are the enumeration and equivalence problems. In this paper, we solve these two problems for any biprojective APN function family by introducing a strong group theoretic method for those functions. Roughly half of the known APN families of functions on even … how to set up log shipping sql server 2019WebThe di erential uniformity of a function is an invariant of EA-equivalence. However, a bijective function is not necessarily EA-equivalent to its inverse, even though they have … how to set up logi keyboardWeb%PDF-1.5 %ÐÔÅØ 4 0 obj /S /GoTo /D (section.1) >> endobj 7 0 obj (\376\377\000I\000n\000t\000r\000o\000d\000u\000c\000t\000i\000o\000n) endobj 8 0 obj /S /GoTo /D ... how to set up lock screen password windows 10WebAbstract. Recently, many new almost perfect nonlinear (APN) and almost bent (AB) functions have been constructed. These functions n 2 → n 2 play an important role in … nothing happens when i right clickWebchapter On the equivalence of nonlinear functions Yves Edel, Alexander Pott, Bart Preneel, S Dodunekov, V Rijmen and 1 more Published in 2009 by IOS Press Not available at UGent; Request document delivery (ILL) how to set up logi pebble mouseWeb30 de dez. de 2010 · Establishing the CCZ-equivalence of a pair of APN functions is generally quite difficult. In some cases, when seeking to show that a putative new infinite … how to set up logi webcam on laptopWebequivalence) are the particular cases of CCZ-equivalence [15]. Recall that functions Fand F′ are called EA-equivalent if F′ = A 1 F A2 + Afor some affine functions A, A1 and A2, … how to set up logi keyboard and mouse