Research graph
References from A new method to produce limit cycles in a near-Hamiltonian system. Local targets link to admitted publications; unresolved targets remain external evidence.
Limit cycles for a class of Zp-equivariant differential systems
10.1142/s0218127420501151 · 2020 · External reference
The number of limit cycles from elliptic Hamiltonian vector fields by higher order Melnikov functions
10.11948/20220063 · 2023 · External reference
The number of zeros of the sum of Abelian integrals satisfying two-dimensional Picard-Fuchs equations
10.1016/j.bulsci.2025.103643 · 2025 · External reference
The smallest upper bound on the number of zeros of Abelian integrals
10.1016/j.jde.2020.03.016 · 2020 · External reference
Homoclinic bifurcation near a loop tangent to an invariant straight line
10.1016/j.jde.2025.01.008 · 2025 · External reference
Limit cycle bifurcations for a homoclinic loop with a nilpotent equilibrium
10.1016/j.jde.2025.01.056 · 2025 · External reference
Nilpotent center conditions in cubic switching polynomial Liénard systems by higher-order analysis
10.1016/j.jde.2023.10.004 · 2024 · External reference
Limit cycles of Liénard systems with several equilibria
10.1007/s10114-025-3420-2 · 2025 · External reference
Limit cycles in a rotated family of generalized Liénard systems allowing for finitely many switching lines
10.1017/prm.2024.21 · 2025 · External reference
Center problem of generalized Kukles systems with Z2-symmetry or weak Z2-symmetry
10.1016/j.jde.2025.113734 · 2026 · External reference
Global phase portraits and bifurcation diagrams for reversible equivariant Hamiltonian systems of linear plus quartic homogeneous polynomials
10.3934/dcdsb.2020214 · 2021 · External reference
The integrability and linearizability of cubic Z2-equivariant systems with two 1: − q resonant saddle points
10.1007/s12346-024-01128-3 · 2024 · External reference
Unresolved reference
2024 · External reference
Unresolved reference
2013 · External reference
Unresolved reference
2012 · External reference
Bifurcation theory of limit cycles by higher order Melnikov functions and applications
10.1016/j.jde.2024.04.036 · 2024 · External reference
Melnikov analysis in a cubic system with a multiple line of critical points
10.1016/j.aml.2023.108787 · 2023 · External reference
Limit cycle bifurcations of a cubic polynomial system via Melnikov analysis
10.12150/jnma.2024.683 · 2024 · External reference
On the coefficients appearing in the expansion of Melnikov function in homoclinic bifurcations
1998 · External reference
Hopf and homoclinic bifurcations for near-Hamiltonian systems
10.1016/j.jde.2016.11.026 · 2017 · External reference
Bifurcation of limit cycles near heteroclinic loops in near-Hamiltonian systems
10.1016/j.cnsns.2020.105666 · 2021 · External reference
Expansion coefficients and their relation for Melnikov functions near polycycles
10.1016/j.jde.2025.113312 · 2025 · External reference
Study on limit cycles near homoclinic loops and heteroclinic loops with hyperbolic saddles
10.1016/j.jde.2024.11.055 · 2025 · External reference
Unresolved reference
External reference
Cyclicity of planar homoclinic loops and quadratic integrable systems
10.1007/bf02876370 · 1997 · External reference
The number of limit cycles bifurcating from a pair of homoclinic loops
10.1360/za2000-30-5-401 · 2000 · External reference
On double homoclinic bifurcation of limit cycles in near-Hamiltonian systems on the cylinder
10.1007/s12346-024-01107-8 · 2024 · External reference
Bifurcation of limit cycles from a compound loop with five saddles
10.11948/20190342 · 2019 · External reference
On the number of limit cycles bifurcating from a compound polycycle
10.1142/s0218127420500996 · 2020 · External reference
Limit cycle bifurcations near a 2-polycycle or double 2-polycycle of planar systems
10.1016/j.na.2013.10.019 · 2014 · External reference
The uniqueness of limit cycles bifurcated from a separatrix cycle (III)
10.12386/a1992sxxb0070 · 1992 · External reference
On the stability of double homoclinic and heteroclinic cycles
10.1016/s0362-546x(02)00301-2 · 2003 · External reference
Unresolved reference
1994 · External reference
Unresolved reference
1983 · External reference
Bifurcation of limit cycles near polycycles with n vertices
10.1016/j.chaos.2004.02.031 · 2004 · External reference
Cyclicity 1 and 2 conditions for a 2-polycycle of integrable systems on the plane
10.1006/jdeq.1998.3585 · 1999 · External reference
The uniqueness of limit cycles bifurcated from a heteroclinic loop (in Chinese)
10.12386/a1997sxxb0030 · 1997 · External reference
Saddle quantities and applications
10.1016/0022-0396(89)90069-7 · 1989 · External reference
