Results 31 to 40 of about 160,056 (177)
Integrability of planar polynomial differential systems through linear differential equations [PDF]
, 2005 In this work, we consider rational ordinary differential equations dy/dx = Q(x,y)/P(x,y), with Q(x,y) and P(x,y) coprime polynomials with real coefficients.
Giacomini, Héctor +2 more
core +6 more sources
Liouvillian first integrals for a class of generalized Liénard polynomial differential systems [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2016 We study the existence of Liouvillian first integrals for the generalized Liénard polynomial differential systems of the form xʹ = y, yʹ = –g(x) – f(x)y, where f(x) = 3Q(x)Qʹ(x)P(x) + Q(x)2Pʹ(x) and g(x) = Q(x)Qʹ(x)(Q(x)2P(x)2 – 1) with P,Q ∈ ℂ[x]. This class of generalized Liénard polynomial differential systems has the invariant algebraic curve (y ...
Llibre, Jaume, Valls, Clàudia
openaire +5 more sources
Nonequilibrium identities of granular vibrating beds [PDF]
, 2013 We derive the integral fluctuation theorem around a nonequilibrium stationary state for frictionless and soft core granular particles under an external vibration achieved by a balance between an external vibration and inelastic collisions.
Hayakawa, Hisao
core +2 more sources
Toward Effective Liouvillian Integration [PDF]
Annales Scientifiques de l'Ecole Normale Supérieure, 2016 We prove that foliations on the projective plane admitting a Liouvillian first integral but not admitting a rational first integral always have invariant algebraic curves of degree bounded by a function of the degree of the foliation.
G. Cousin, A. L. Neto, J. Pereira
semanticscholar +1 more source
Liouvillian and Darboux First Integrals of the Self-Assembling Micelle System
Iraqi Journal of Science, 2023 In this paper we prove that the planar self-assembling micelle system has no Liouvillian, polynomial and Darboux first integrals. Moreover, we show that the system has only one irreducible Darboux polynomial with the cofactor being if and only if via the weight homogeneous polynomials and only two irreducible exponential factors and with
Wirya Mohommed Ramadhan +1 more
openaire +1 more source
Coherent Ising Machines with Error Correction Feedback
Advanced Quantum Technologies, Volume 3, Issue 11, November 2020., 2020 Coherent Ising machines (CIMs) with error detection and correction feedback can search for ground states during their exploration without getting trapped in local minima. The success probability of such closed‐loop CIMs is much higher than that of open‐loop CIMs without error correction. The proposed machine also realizes efficient and fair sampling of
Satoshi Kako +5 more
wiley +1 more source
Large‐scale magnetic resonance simulations: A tutorial
Magnetic Resonance in Chemistry, Volume 58, Issue 8, Page 691-717, August 2020., 2020 Abstract Computational modeling is becoming an essential tool in magnetic resonance to design and optimize experiments, test the performance of theoretical models, and interpret experimental data. Recent theoretical research and software development made possible simulations of large spin systems, for example, proteins with thousands of spins, in ...
Maria Grazia Concilio
wiley +1 more source
Nonequilibrium transport on a quantum molecular chain in terms of the complex Liouvillian spectrum [PDF]
, 2011 The transport process in a molecular chain in a nonequilibrium stationary state is theoretically investigated. The molecule is interacting at both ends with thermal baths of different temperatures, while no dissipation mechanism is contained inside the ...
Kanki, Kazuki +2 more
core +1 more source
On the Assumption of Initial Factorization in the Master Equation for Weakly Coupled Systems I: General Framework [PDF]
, 2006 We analyze the dynamics of a quantum mechanical system in interaction with a reservoir when the initial state is not factorized. In the weak-coupling (van Hove) limit, the dynamics can be properly described in terms of a master equation, but a consistent
Accardi +63 more
core +1 more source
Weierstrass integrability of differential equations [PDF]
Applied Mathematics Letters, 2009 The integrability problem consists of finding the class of functions a first integral of a given planar polynomial differential system must belong to. We recall the characterization of systems which admit an elementary or Liouvillian first integral.
J. Giné, M. Grau
semanticscholar +1 more source