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Limit cycles for regularized discontinuous dynamical systems with a hyperplane of discontinuity

This work was performed while the last two authors were visiting the School of Mathematics, Georgia Institute of Technology. The second author visit was made possible by the support of the GNCS (Italy), and the third author visit was made possible by the support of the CSC (China) 201508350024 and NNSF of China grant 11401228; the sponsorship of these agencies, and the hospitality of the School of Mathematics at Georgia Tech, are gratefully acknowledged. We also gratefully acknowledge an anonymous referee for pointing out to us the work [2]

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