[1] V.I. Arnold, Ten Problems, Theory of Singularities and its Applications, Advances in Soviet Mathematics, Vol 1 AMS, 1990.
[2] A. Bakhshalizadeh and R. Asheghi, The monotonicity of the ratio of two line integrals in piecewise smooth differential systems, Differ. Equ. Dyn. Syst. 2022 (2022), 1–14.
[3] A. Bakhshalizadeh, R. Asheghi, and R. Kazemi, On the monotonicity of the ratio of some hyperelliptic integrals of order 7, Bull. Sci. Math. 158 (2020), 102810.
[4] M. Grau, F. Manosas, and J. Villadelprat, A Chebyshev criterion for Abelian integrals, Trans. Amer. Math. Soc. 363 (2011), 109–129.
[5] D. Hilbert, Mathematical problems, Bull. Amer. Math. Soc. 8 (1902), 437–479.
[6] R. Kazemi, Monotonicity of the ratio of two abelian integrals for a class of symmetric hyperelliptic Hamiltonian systems, J. Appl. Anal. Comput. 8 (2018), 344–355.
[7] C. Liu, G. Chen, and Z. Sun, New criteria for the monotonicity of the ratio of two Abelian integrals, J. Math. Anal. Apps. 465 (2018), 220–234.
[8] X. Liu and M. Han, Bifurcation of limit cycles by perturbing piecewise Hamiltonian systems, Int. J. Bifur. Chaos., 20, (2010) 1379–1390.
[9] C. Liu and D. Xiao, The monotonicity of the ratio of two Abelian integrals, Trans. Amer. Math. Soc. 365 (2013), 5525–5544.
[10] C. Liu and D. Xiao, The smallest upper bound on the number of zeros of Abelian integrals, J. Diff. Eqns. 269 (2020), 3816–3852.
[11] C. Li and Z. Zhang, A criterion for determining the monotonicity of the ratio of two Abelian integrals, J. Diff. Eqns., 124 (1996), 407–424.
[12] P. Moghimi, R. Asheghi, and R. Kazemi, An extended complete Chebyshev system of 3 Abelian integrals related to a non-algebraic Hamiltonian system, Comput. Methods Differ. Equ. 6 (2018), 438–447.
[13] P. Moghimi, R. Asheghi, and R. Kazemi, On the number of limit cycles bifurcated from a near-Hamiltonian system with a double homoclinic loop of cuspidal type surrounded by a heteroclinic loop, Int. J. Bifur. Chaos Appl. Sci. Engrg. 28 (2018), no. 1, 1850004, 21.
[14] P. Moghimi, R. Asheghi, and R. Kazemi, On the number of limit cycles bifurcated from some Hamiltonian systems with a double homoclinic loop and a heteroclinic loop, Int. J. Bifur. Chaos Appl. Sci. Engrg. 27 (2017), no. 4, 1750055, 15.
[15] G. Mohammad, R. Asheghi, and R. Kazemi, The monotonicity of the ratio of two hyperelliptic Abelian integrals for a class of symmetric potential systems of degree eight, Bull. Sci. Math. 176 (2022), 103130.
[16] X. Sun, H. Xi, H.R. Zangeneh, and R. Kazemi, Bifurcation of limit cycles in small perturbation of a class of Lienard systems, Int. J. Bifur. Chaos 24 (2014), 1450004.
[17] A. Zaghian, R. Kazemi, and H.R. Zangeneh, Bifurcation of limit cycles in a class of Lienard systems with a cusp and nilpotent saddle, Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys. 78 (2016), no. 3, 95–106.