| 1 | di Bernardo M, Budd C J, Champneys A R, Kowalczyk P. Piecewise Smooth Dynamical Systems, Theory and Applications. London: Springer-Verlag, 2008 | | 2 | Budd C J. Non-smooth dynamical systems and the grazing bifurcation//Aston P J. Nonlinear Mathematics and Its Applications. Cambridge: Cambridge University Press, 1996: 219-235 | | 3 | Filipov A F. Differential equations with discontionuous righthand sides. Netherlands: Kluwer Academic, 1988 | | 4 | Hilbert D . Mathematical Problems. Bull Amer Math, 1902, 8: 437- 479 | | 5 | Pi D , Zhang X . The sliding bifurcations in planar piecewise sooth differential systems. J Dyn Diff Equa, 2013, 25: 1001- 1026 | | 6 | Dankowicz H , Nordmark A B . On the origin and bifurcations of stick-slip oscillations. Physica D, 2000, 136: 280- 302 | | 7 | Feigin M I . Doubling of the oscillation period with C-bifurcations in piecewise-continuous systems. J Appl Math Mech, 1970, 34: 822- 830 | | 8 | Liu X , Han M . Bifurcation of limit cycles by perturbing piecewise Hamiltonian systems. Internat J Bifur Chaos, 2010, 5: 1- 12 | | 9 | Xiong Y , Han M . Limit cycle bifurcations in a class of perturbed piecewise smooth systems. Applied Mathematics and Computation, 2014, 242: 47- 64 | | 10 | Liang F , Han M , Romanovskic V G . Bifurcation of limit cycles by perturbing a piecewise linear Hamiltonian system with a homoclinic loop. Nonlinear Analysis, 2012, 75: 4355- 4374 | | 11 | Hu N , Du Z . Bifurcation of periodic orbits emanated from a vertex in discontinuous planar systems. Commun Nonlinear Sci Numer Simulat, 2013, 18: 3436- 3448 | | 12 | Xiong Y , Han M . Limit cycle bifurcations in discontinuous planar systems with multiple lines. Journal of Applied Analysis and Computation, 2020, 10: 361- 377 |
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