Algorithmic Derivation of Centre Conditions
From MaRDI portal
Publication:5284603
DOI10.1137/S0036144595283575zbMath0876.34033MaRDI QIDQ5284603
Noel G. Lloyd, Jane M. Pearson, Colin Christopher
Publication date: 30 October 1997
Published in: SIAM Review (Search for Journal in Brave)
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)
Related Items
Analytic integrability of some examples of degenerate planar vector fields ⋮ Analytic integrability inside a family of degenerate centers ⋮ First derivative of the period function with applications ⋮ A cubic Kolmogorov system with six limit cycles ⋮ A dynamical systems approach to the fourth Painlevé equation ⋮ On persistent centers ⋮ Bifurcation of limit cycles from a parabolic-parabolic type critical point in a class of planar piecewise smooth quadratic systems ⋮ Linear type global centers of linear systems with cubic homogeneous nonlinearities ⋮ Limit cycles of a cubic Kolmogorov system ⋮ Limit cycles bifurcate from centers of discontinuous quadratic systems ⋮ Algorithmic derivation of isochronicity conditions ⋮ Cyclicity versus center problem ⋮ Centers and isochronous centers for two classes of generalized seventh and ninth systems ⋮ The center problem and time-reversibility with respect to a quadratic involution for a class of polynomial differential systems with order 2 or 3 ⋮ On the Darboux integrability of polynomial differential systems ⋮ Minimum number of ideal generators for a linear center perturbed by homogeneous polynomials ⋮ Planar real polynomial differential systems of degree \(n> 3\) having a weak focus of high order ⋮ Kukles revisited: Advances in computing techniques ⋮ Limit cycle bifurcations from a non-degenerate center ⋮ Center problem for systems with two monomial nonlinearities ⋮ On the equivalence of singular point quantities and the integrability of a fine critical singular point ⋮ Higher order limit cycle bifurcations from non-degenerate centers ⋮ Implementation of a new algorithm of computation of the Poincaré-Lyapunov constants. ⋮ Analytic integrability for some degenerate planar vector fields ⋮ Periodic travelling waves in nonlinear reaction-diffusion equations via multiple Hopf bifurcation ⋮ Center conditions for a class of planar rigid polynomial differential systems ⋮ Calculation of singular point quantities at infinity for a type of polynomial differential systems ⋮ Limit cycles of polynomial differential systems with homogeneous nonlinearities of degree 4 via the averaging method ⋮ Computing integrability conditions for a cubic differential system ⋮ A hybrid symbolic-numerical approach to the center-focus problem ⋮ On the integrability of quasihomogeneous systems and quasidegenerate infinity systems ⋮ Limit cycles of a predator-prey model with intratrophic predation ⋮ Parametric centers for trigonometric Abel equations ⋮ HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS ⋮ Computation of invariant curves and identifying the type of critical point ⋮ Classification of the centers and their isochronicity for a class of polynomial differential systems of arbitrary degree ⋮ The nondegenerate center problem and the inverse integrating factor ⋮ Cauchy-type integrals of algebraic functions ⋮ A family of quadratic polynomial differential systems with invariant algebraic curves of arbitrarily high degree without rational first integrals ⋮ Center conditions at infinity for Abel differential equations ⋮ Geometric criterium in the center problem ⋮ Classification of the centers, their cyclicity and isochronicity for a class of polynomial differential systems generalizing the linear systems with cubic homogeneous nonlinearities ⋮ Polynomial systems from certain differential equations ⋮ Generalized quadratic Liénard equations ⋮ ON INTEGRABILITY OF DIFFERENTIAL EQUATIONS DEFINED BY THE SUM OF HOMOGENEOUS VECTOR FIELDS WITH DEGENERATE INFINITY ⋮ Cubic systems and Abel equations ⋮ Center problem for several differential equations via Cherkas' method ⋮ Classification of the centers, their cyclicity and isochronicity for the generalized quadratic polynomial differential systems ⋮ Classification of the centers, of their cyclicity and isochronicity for two classes of generalized quintic polynomial differential systems ⋮ Highest weak focus order for trigonometric Liénard equations ⋮ ON THE CENTER PROBLEM FOR DEGENERATE SINGULAR POINTS OF PLANAR VECTOR FIELDS ⋮ Symbolic computation for the qualitative theory of differential equations ⋮ THE JACOBI LAST MULTIPLIER AND ISOCHRONICITY OF LIÉNARD TYPE SYSTEMS ⋮ LOCAL BIFURCATION OF CRITICAL PERIODS IN QUADRATIC-LIKE CUBIC SYSTEMS ⋮ Symmetry in planar dynamical systems
