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
scientific article; zbMATH DE number 510309 - MaRDI portal

scientific article; zbMATH DE number 510309

From MaRDI portal
Publication:4280774

zbMath0790.34031MaRDI QIDQ4280774

Dana Schlomiuk

Publication date: 3 July 1994


Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.



Related Items (73)

Limit cycle bifurcations for a kind of Liénard system with degree sevenHopf-Takens bifurcations and centresCenters for a class of generalized quintic polynomial differential systemsThe nilpotent part and distinguished form of resonant vector fields or diffeomorphismsPlanar quadratic vector fields with invariant lines of total multiplicity at least fiveLiouvillian integrability versus Darboux polynomialsCharacterization and bifurcation diagram of the family of quadratic differential systems with an invariant ellipse in terms of invariant polynomialsLimit cycle bifurcations by perturbing a cuspidal loop in a Hamiltonian systemPegasus: sound continuous invariant generationNecessary conditions for the existence of invariant algebraic curves for planar polynomial systemsDarboux theory of integrability for polynomial vector fields on 𝕊nPolynomial first integrals of quadratic vector fieldsOn the multiple zeros of a real analytic function with applications to the averaging theory of differential equationsLiouvillian integrability of the FitzHugh-Nagumo systemsThe center problem for a linear center perturbed by homogeneous polynomialsBifurcations of limit cycles for a perturbed quintic Hamiltonian system with four infinite singular pointsA survey on the inverse integrating factorInvariant ideals of local analytic and formal vector fieldsOn the number of limit cycles of a \(\mathbb{Z}_4\)-equivariant quintic near-Hamiltonian systemDarboux integrating factors: inverse problemsCenter conditions to find certain degenerate centers with characteristic directionsOn the analytic integrability of the Liénard analytic differential systemsGlobal classification of the planar Lotka-Volterra differential systems according to their configurations of invariant straight linesNew family of cubic Hamiltonian centersEssential variables in the integrability problem of planar vector fieldsAsymptotic expansion of the period function.Darboux integrability and the inverse integrating factor.Bifurcation of limit cycles from a Liénard system with a heteroclinic loop connecting two nilpotent saddlesQuadratic systems with an integrable saddle: a complete classification in the coefficient space \(\mathbb R^{12}\)Geometric configurations of singularities for quadratic differential systems with three distinct real simple finite singularitiesA quartic system and a quintic system with fine focus of order 18On the limit cycles bifurcating from an ellipse of a quadratic centerCenters and isochronous centers for generalized quintic systemsOn the critical points of the flight return time function of perturbed closed orbitsGeneralized Liénard equations, cyclicity and Hopf-Takens bifurcationsLower bounds for the Hilbert number of polynomial systemsGlobal configurations of singularities for quadratic differential systems with total finite multiplicity three and at most two real singularitiesExistence of 121 limit cycles in a perturbed planar polynomial Hamiltonian vector field of degree 11Limit cycles of polynomial differential systems with homogeneous nonlinearities of degree 4 via the averaging methodPolynomial first integrals of systems in the plane with center type linear partOn the global analysis of the planar quadratic vector fieldsPlanar quadratic differential systems with invariant straight lines of total multiplicity fourIsochronous solutions of a 3-dim symmetric quadratic systemOn the independent perturbation parameters and the number of limit cycles of a type of Liénard systemIntegrability of planar polynomial differential systems through linear differential equationsIsochronous centers of a linear center perturbed by fifth degree homogeneous polynomialsThe period function of the generalized Lotka-Volterra centersBifurcation of limit cycles from a heteroclinic loop with a cuspClassification of the centers and their isochronicity for a class of polynomial differential systems of arbitrary degreeIntegrable systems via polynomial inverse integrating factorsThe nondegenerate center problem and the inverse integrating factorPolynomial differential systems having a given Darbouxian first integralThe period function of reversible quadratic centersThe period function for second-order quadratic ODEs is monotoneNon-nested configuration of algebraic limit cycles in quadratic systemsOn the return time function around monodromic polycyclesOn the Melnikov functions and limit cycles near a double homoclinic loop with a nilpotent saddle of order \(\hat{m} \)Invariant curves and integrability of planar \(\mathcal C^r\) differential systemsPoincaré bifurcation of limit cycles from a Liénard system with a homoclinic loop passing through a nilpotent saddleUnnamed ItemIntegrals and phase portraits of planar quadratic differential systems with invariant lines of at least five total multiplicityClassification of the centers, their cyclicity and isochronicity for a class of polynomial differential systems generalizing the linear systems with cubic homogeneous nonlinearitiesOn the focus order of planar polynomial differential equationsQuadratic systems with a polynomial first integral: A complete classification in the coefficient space \(\mathbb R^{12}\)An algebraic approach to the classification of centers in polynomial Liénard systemsIsochronous centers of a linear center perturbed by fourth degree homogeneous polynomialDulac time of a resonant saddle in the loud familyPolynomial first integrals via the Poincaré seriesOn the Poincaré problemLiouvillian first integrals for the planar Lotka-Volterra systemEssential perturbations of polynomial vector fields with a period annulusDivergence and Poincaré-Liapunov constants for analytic differential systemsCriteria on the existence of limit cycles in planar polynomial differential systems




This page was built for publication: