2025
Limit cycle bifurcations in a class of piecewise Hamiltonian systems.
Commun. Nonlinear Sci. Numer. Simul., 2025
2024
Limit cycle bifurcations near a double 2-polycycle on the cylinder.
Commun. Nonlinear Sci. Numer. Simul., March, 2024
An efficient solution procedure for solving higher-codimension Hopf and Bogdanov-Takens bifurcations.
Commun. Nonlinear Sci. Numer. Simul., 2024
2023
Bifurcations and Exact Traveling Wave Solutions of the Generalized Serre-Green-Naghdi System with Weak Coriolis Effect and Surface Tension.
Int. J. Bifurc. Chaos, June, 2023
Existence of Periodic Waves in a Perturbed Generalized BBM Equation.
Int. J. Bifurc. Chaos, April, 2023
Bifurcation of Limit Cycles by Perturbing Piecewise Linear Hamiltonian Systems with Piecewise Polynomials.
Int. J. Bifurc. Chaos, April, 2023
2022
Periodic Peakons and Compacton Families of the Hirota-Type Peakon Equation.
Int. J. Bifurc. Chaos, 2022
The Number of Limit Cycles for a Class of Cubic Systems with Multiple Parameters.
Int. J. Bifurc. Chaos, 2022
2021
Limit Cycles from Perturbing a Piecewise Smooth System with a Center and a Homoclinic Loop.
Int. J. Bifurc. Chaos, 2021
Number of Limit Cycles from a Class of Perturbed Piecewise Polynomial Systems.
Int. J. Bifurc. Chaos, 2021
Limit Cycle Bifurcations in a Class of Piecewise Smooth Polynomial Systems.
Int. J. Bifurc. Chaos, 2021
2020
Limit Cycle Bifurcations Near a Cuspidal Loop.
Symmetry, 2020
On Some Symmetries of Quadratic Systems.
Symmetry, 2020
A New Type of Solitary Wave Solution of the mKdV Equation Under Singular Perturbations.
Int. J. Bifurc. Chaos, 2020
Hopf Bifurcation of Limit Cycles in Some Piecewise Smooth Liénard Systems.
Int. J. Bifurc. Chaos, 2020
On the Number of Limit Cycles Bifurcating from a Compound Polycycle.
Int. J. Bifurc. Chaos, 2020
2018
An Improvement on the Number of Limit Cycles Bifurcating from a Nondegenerate Center of Homogeneous Polynomial Systems.
Int. J. Bifurc. Chaos, 2018
On the Number of Periodic Solutions of Delay Differential Equations.
Int. J. Bifurc. Chaos, 2018
On Uniqueness of Limit Cycles in General Bogdanov-Takens Bifurcation.
Int. J. Bifurc. Chaos, 2018
Reversibility in polynomial systems of ODE's.
Appl. Math. Comput., 2018
2017
The Maximal Number of Limit Cycles in Perturbations of Piecewise Linear Hamiltonian Systems with Two Saddles.
Int. J. Bifurc. Chaos, 2017
2016
On the Number of Limit Cycles by Perturbing a Piecewise Smooth Liénard Model.
Int. J. Bifurc. Chaos, 2016
2015
Qualitative investigation of a gene model using computer algebra algorithms.
Program. Comput. Softw., 2015
Center Problems and Limit Cycle Bifurcations in a Class of Quasi-Homogeneous Systems.
Int. J. Bifurc. Chaos, 2015
Some Bifurcation Analysis in a Family of Nonsmooth Liénard Systems.
Int. J. Bifurc. Chaos, 2015
Critical Period Bifurcation by Perturbing a Reversible Rigidly Isochronous Center with Multiple Parameters.
Int. J. Bifurc. Chaos, 2015
Ten limit cycles around a center-type singular point in a 3-d quadratic system with quadratic perturbation.
Appl. Math. Lett., 2015
2014
Stability and Limit Cycle Bifurcation for Two Kinds of Generalized Double Homoclinic Loops in Planar Piecewise Smooth Systems.
Int. J. Bifurc. Chaos, 2014
Canard solution and its asymptotic approximation in a second-order nonlinear singularly perturbed boundary value problem with a turning point.
Commun. Nonlinear Sci. Numer. Simul., 2014
Limit cycle bifurcations in a class of perturbed piecewise smooth systems.
Appl. Math. Comput., 2014
Almost periodic solutions of a discrete almost periodic logistic equation with delay.
Appl. Math. Comput., 2014
Some new dynamic Opial type inequalities and applications for second order integro-differential dynamic equations on time scales.
Appl. Math. Comput., 2014
2013
Eight Limit cycles around a Center in quadratic Hamiltonian System with Third-Order perturbation.
Int. J. Bifurc. Chaos, 2013
On the Number and Distributions of Limit cycles of a Planar quartic Vector Field.
Int. J. Bifurc. Chaos, 2013
The Number of zeros of Abelian integrals for a perturbation of Hyperelliptic Hamiltonian System with Degenerated Polycycle.
Int. J. Bifurc. Chaos, 2013
The stability of some Kinds of generalized homoclinic Loops in Planar piecewise Smooth Systems.
Int. J. Bifurc. Chaos, 2013
Bifurcation of Limit cycles by perturbing a periodic Annulus with Multiple Critical Points.
Int. J. Bifurc. Chaos, 2013
Bifurcation of limit cycles in 3rd-order Z2 Hamiltonian planar vector fields with 3rd-order perturbations.
Commun. Nonlinear Sci. Numer. Simul., 2013
Bifurcations of planar Hamiltonian systems with impulsive perturbation.
Appl. Math. Comput., 2013
2012
Isochronicity and normal forms of polynomial systems of ODEs.
J. Symb. Comput., 2012
Four Limit cycles from perturbing quadratic integrable Systems by quadratic polynomials.
Int. J. Bifurc. Chaos, 2012
Hopf bifurcation of LiéNard Systems by perturbing a Nilpotent Center.
Int. J. Bifurc. Chaos, 2012
Delayed bifurcation in First-Order singularly perturbed Problems with a Nongeneric turning Point.
Int. J. Bifurc. Chaos, 2012
Bifurcations of 2-2-1 Heterodimensional cycles under Transversality condition.
Int. J. Bifurc. Chaos, 2012
Degenerate Hopf bifurcation in nonsmooth Planar Systems.
Int. J. Bifurc. Chaos, 2012
Limit Cycle bifurcations Near a Double homoclinic Loop with a Nilpotent saddle.
Int. J. Bifurc. Chaos, 2012
Asymptotic expansions of Melnikov Functions and Limit Cycle bifurcations.
Int. J. Bifurc. Chaos, 2012
Computation of expansion coefficients of Melnikov functions near a nilpotent center.
Comput. Math. Appl., 2012
2011
Limit Cycle bifurcations of Two Kinds of Polynomial differential Systems.
Int. J. Bifurc. Chaos, 2011
2010
Limit cycles of planar polynomial vector fields.
Scholarpedia, 2010
Critical Periods of Third-Order Planar Hamiltonian Systems.
Int. J. Bifurc. Chaos, 2010
Existence Conditions of Thirteen Limit Cycles in a cubic System.
Int. J. Bifurc. Chaos, 2010
Limit Cycle bifurcations of Some LiéNard Systems with a Nilpotent Cusp.
Int. J. Bifurc. Chaos, 2010
Bifurcation of Limit Cycles by Perturbing Piecewise Hamiltonian Systems.
Int. J. Bifurc. Chaos, 2010
On the number of limit cycles of a Z<sub>4</sub>-equivariant quintic polynomial system.
Appl. Math. Comput., 2010
2009
Lag Synchronization of Unknown Chaotic Delayed Yang-Yang-Type Fuzzy Neural Networks With Noise Perturbation Based on Adaptive Control and Parameter Identification.
IEEE Trans. Neural Networks, 2009
New Conditions on the Existence and Stability of Periodic Solution in Lotka--Volterra's Population System.
SIAM J. Appl. Math., 2009
Critical Periods of Planar Revertible Vector Field with Third-Degree Polynomial Functions.
Int. J. Bifurc. Chaos, 2009
Hopf bifurcation for nonsmooth LiéNard Systems.
Int. J. Bifurc. Chaos, 2009
Limit Cycles for a Class of quintic Near-Hamiltonian Systems Near a Nilpotent Center.
Int. J. Bifurc. Chaos, 2009
Periodic Solutions and bifurcations of First-Order Periodic impulsive Differential Equations.
Int. J. Bifurc. Chaos, 2009
Hopf bifurcations for Near-Hamiltonian Systems.
Int. J. Bifurc. Chaos, 2009
2008
On the Number and Distributions of Limit Cycles in a quintic Planar Vector Field.
Int. J. Bifurc. Chaos, 2008
Limit Cycle bifurcations in Near-Hamiltonian Systems by Perturbing a Nilpotent Center.
Int. J. Bifurc. Chaos, 2008
New configurations of 24 limit cycles in a quintic system.
Comput. Math. Appl., 2008
Dynamic of a non-autonomous predator-prey system with infinite delay and diffusion.
Comput. Math. Appl., 2008
2007
Global Hopf bifurcation analysis on a BAM neural network with delays.
Math. Comput. Model., 2007
Limit Cycles in Two Types of Symmetric LiÉnard Systems.
Int. J. Bifurc. Chaos, 2007
Bifurcation of Limit Cycles in a Fourth-Order Near-Hamiltonian System.
Int. J. Bifurc. Chaos, 2007
On the Number of Limit Cycles in Near-Hamiltonian Polynomial Systems.
Int. J. Bifurc. Chaos, 2007
Existence of positive periodic solutions for a class of functional differential equations.
Appl. Math. Comput., 2007
Anti-periodic boundary value problems for first order impulsive functional differential equations.
Appl. Math. Comput., 2007
2006
The Number and Distributions of Limit Cycles for a Class of Quintic Near-Hamiltonian Systems.
Comput. Math. Appl., 2006
The persistence of canards in 3-D singularly perturbed systems with two fast variables.
Asymptot. Anal., 2006
Bifurcations of limit cycles in a cubic system with cubic perturbations.
Appl. Math. Comput., 2006
2005
Canard Phenomena in Oscillations of a Surface Oxidation Reaction.
J. Nonlinear Sci., 2005
Twelve Limit Cycles in a cubic Case of the 16TH Hilbert Problem.
Int. J. Bifurc. Chaos, 2005
Hopf bifurcation of a Three-Dimensional System.
Int. J. Bifurc. Chaos, 2005
On Hopf cyclicity of planar systems with multiple parameters.
Appl. Math. Lett., 2005
Necessary and sufficient conditions for oscillation of impulsive parabolic differential equations with delays.
Appl. Math. Lett., 2005
The existence of homoclinic orbits to saddle-focus.
Appl. Math. Comput., 2005
Periodic boundary value problems for the first order impulsive functional differential equations.
Appl. Math. Comput., 2005
2004
The Abelian integrals of a One-Parameter Hamiltonian System under Polynomial Perturbations.
Int. J. Bifurc. Chaos, 2004
Global bifurcation of Limit Cycles in a Family of multiparameter System.
Int. J. Bifurc. Chaos, 2004
On the Study of Limit Cycles of the Generalized Rayleigh-lienard oscillator.
Int. J. Bifurc. Chaos, 2004
Local and Global Hopf bifurcation in a Delayed Hematopoiesis Model.
Int. J. Bifurc. Chaos, 2004
On the Number and Distribution of Limit Cycles in a cubic System.
Int. J. Bifurc. Chaos, 2004
A Study on the Existence of Limit Cycles of a Planar System with Third-Degree Polynomials.
Int. J. Bifurc. Chaos, 2004
Existence and bifurcation of Periodic Solutions of Three-Dimensional Delay Differential Equations.
Int. J. Bifurc. Chaos, 2004
The stability of double homoclinic loops.
Appl. Math. Lett., 2004
A new approach to stability of impulsive functional differential equations.
Appl. Math. Comput., 2004
Travelling wavefronts in the diffusive single species model with Allee effect and distributed delay.
Appl. Math. Comput., 2004
H-oscillation of solutions of certain vector hyperbolic differential equations with deviating arguments.
Appl. Math. Comput., 2004
Periodic boundary value problem for the second order impulsive functional differential equations.
Appl. Math. Comput., 2004
Asymptotical properties for neutral distributed parameter systems.
Proceedings of the 8th International Conference on Control, 2004
2001
The Hopf cyclicity of Lienard systems.
Appl. Math. Lett., 2001