Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
On the polynomial first integrals of the (a,b,c) Lotka–Volterra system - MaRDI portal

On the polynomial first integrals of the (a,b,c) Lotka–Volterra system

From MaRDI portal
Publication:4716471

DOI10.1063/1.531721zbMath0860.58023OpenAlexW80669482MaRDI QIDQ4716471

Simon Labrunie

Publication date: 21 April 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531721




Related Items (25)

Liouvillian and Analytic First Integrals for the Brusselator SystemEXPONENTIAL FACTORS AND DARBOUX INTEGRABILITY FOR THE RÖSSLER SYSTEMPolynomial first integrals of quadratic vector fieldsAutonomous self-similar ordinary differential equations and the Painlevé connectionSymplectic realizations and symmetries of a Lotka-Volterra type systemInvariant algebraic surfaces of the Lorenz systemPolynomial first integrals for weight-homogeneous planar polynomial differential systems of weight degree 3Liouvillian and analytic integrability in a modified Philips modelPolynomial, rational and analytic first integrals for a family of 3-dimensional Lotka-Volterra systemsOn the polynomial differential systems having polynomial first integralsPolynomial first integrals of quadratic systems.The generalized Liénard polynomial differential systems \(x^\prime = y\), \(y^\prime = - g(x) - f(x) y\) with \(\deg g = \deg f + 1\) are not Liouvillian integrablePlanar analytic vector fields with generalized rational first integralsLiouvillian first integrals for Liénard polynomial differential systemsLiouvillian First Integrals for Generalized Liénard Polynomial Differential SystemsIntegrability and linearizability problems of three dimensional Lotka-Volterra equations of rank-2Phase portaits of the quadratic vector fields with a polynominal first integralProper rational and analytic first integrals for asymmetric 3-dimensional Lotka-Volterra systemsDarboux Polynomials for Lotka–Volterra Systems in Three DimensionsIntegrability and linearizability of a family of three-dimensional quadratic systemsDARBOUX INTEGRABILITY FOR THE RÖSSLER SYSTEMPolynomial first integrals via the Poincaré seriesLiouvillian first integrals for the planar Lotka-Volterra systemLIOUVILLIAN INTEGRABILITY OF A DETERMINISTIC BUSINESS CYCLE MODELFirst integrals of Darboux type for a family of 3-dimensional Lotka-Volterra systems



Cites Work


This page was built for publication: On the polynomial first integrals of the (a,b,c) Lotka–Volterra system