Higher order bifurcations of limit cycles

From MaRDI portal
Publication:1293944

DOI10.1006/jdeq.1998.3549zbMath0926.34033OpenAlexW1983611771MaRDI QIDQ1293944

Lawrence M. Perko, Iliya D. Iliev

Publication date: 29 November 1999

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1998.3549




Related Items

On the number of limit cycles for perturbed pendulum equationsBIFURCATION CURVES OF SUBHARMONIC SOLUTIONS AND MELNIKOV THEORY UNDER DEGENERACIESLimit cycles for perturbing Hamiltonian system inside piecewise smooth polynomial differential systemGlobal bifurcations of limit and separatrix cycles in a generalized Liénard systemEquivalence of the Melnikov function method and the averaging methodOn persistent centersOn the geometry of polynomial dynamical systemsThe cyclicity of the period annulus around the quadratic isochronous centerPerturbations of symmetric elliptic Hamiltonians of degree fourThe number of limit cycles of cubic Hamiltonian system with perturbationHigh-order Melnikov method for time-periodic equationsOn the cubic perturbations of the symmetric 8-loop HamiltonianCyclicity versus center problemThe limit cycles in a generalized Rayleigh-Liénard oscillatorLimit cycles in planar piecewise linear differential systems with nonregular separation lineChaotic heteroclinic tangles with the degenerate Melnikov functionExistence of traveling wave solutions for a generalized Burgers-Fisher equation with weak convectionThe global bifurcation of a cubic systemGlobal bifurcation of a perturbed double-homoclinic loopHeteroclinic bifurcation of limit cycles in perturbed cubic Hamiltonian systems by higher-order analysisA relation between small amplitude and big limit cycles.BIFURCATION OF MULTIPLE LIMIT CYCLES FOR A ROTOR-ACTIVE MAGNETIC BEARINGS SYSTEM WITH TIME-VARYING STIFFNESSPerturbations of symmetric elliptic Hamiltonians of degree four in a complex domainSpecial cubic perturbations of the Duffing oscillator \(x=x-x^3\) near the eight-loopCenter-Focus Problem for Discontinuous Planar Differential EquationsBifurcations of limit cycles from quintic Hamiltonian systems with a double figure eight loopPerturbation from an asymmetric cubic HamiltonianNumber of location of limit cycles in a class of perturbed polynomial systemsArbitrary order bifurcations for perturbed Hamiltonian planar systems via the reciprocal of an integrating factorA Chebyshev criterion for Abelian integralsAffine upper bounds for the number of zeros of abelian integrals for quartic elliptic HamiltoniansCubic perturbations of symmetric elliptic Hamiltonians of degree four in a complex domain



Cites Work