Results 31 to 40 of about 4,250,304 (141)
Integrability and solvability of polynomial Liénard differential systems [PDF]
Studies in applied mathematics (Cambridge), 2021 We provide the necessary and sufficient conditions of Liouvillian integrability for Liénard differential systems describing nonlinear oscillators with a polynomial damping and a polynomial restoring force.
M. Demina
semanticscholar +1 more source
Liouvillian First Integrals for Generalized Riccati Polynomial Differential Systems [PDF]
Advanced Nonlinear Studies, 2015 Abstract We study the existence and non-existence of Liouvillian first integrals for the generalized Riccati polynomial differential systems of the form xʹ = y, yʹ = a(x)y2 +b(x)y+c(x), where a(x), b(x) and c(x) are polynomials.
Llibre, Jaume, Valls, Clàudia
openaire +5 more sources
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
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Non-integrability in non-relativistic theories [PDF]
, 2014 Generic non-relativistic theories giving rise to non-integrable string solutions are classified. Our analysis boils down to a simple algebraic condition for the scaling parameters of the metric.
Giataganas, Dimitrios +1 more
core +2 more sources
Liouvillian first integrals for quadratic systems with an integrable saddle [PDF]
Rocky Mountain Journal of Mathematics, 2015 Agraïments: The second author was supported by Portuguese National Funds through FCT - Fundacâo para a Ciência e a Tecnologia within the project PTDC/MAT/117106/2010 and by CAMGSD. We provide explicit expressions for the Liouvillian first integrals of the quadratic polynomial differential systems having an integrable saddle.
Yudy Bolaños +2 more
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Finding Liouvillian first integrals of rational ODEs of any order in finite terms [PDF]
, 2005 It is known, due to Mordukhai-Boltovski, Ritt, Prelle, Singer, Christopher and others, that if a given rational ODE has a Liouvillian first integral then the corresponding integrating factor of the ODE must be of a very special form of a product of ...
Kosovtsov, Yuri N.
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Liouvillian first integrals of differential equations [PDF]
Transactions of the American Mathematical Society, 1989 Liouvillian functions are functions that are built up from rational functions using exponentiation, integration, and algebraic functions. We show that if a system of differential equations has a generic solution that satisfies a liouvillian relation, that is, there is a liouvillian function of several variables vanishing on the curve defined by this ...
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Nonrelativistic pulsating strings
Journal of High Energy Physics, 2019 We explore nonrelativistic (NR) pulsating string configurations over torsion Newton-Cartan (TNC) geometry having topology R × S 2 and check the corresponding analytic integrability criteria following Kovacic’s algorithm.
Dibakar Roychowdhury
doaj +1 more source
Liouvillian integrability of three dimensional vector fields
, 2023 We consider a three dimensional complex polynomial, or rational, vector field (equivalently, a two-form in three variables) which admits a Liouvillian first integral. We prove that there exists a first integral whose differential is the product of a rational 1-form with a Darboux function, or there exists a Darboux Jacobi multiplier. Moreover, we prove
Aziz, Waleed +3 more
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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