Mardešić, Pavao; Novikov, Dmitry; Ortiz-Bobadilla, Laura; Pontigo-Herrera, Jessie Nilpotence of orbits under monodromy and the length of Melnikov functions. (English) Zbl 1493.37057 Physica D 427, Article ID 133017, 6 p. (2021). Reviewer: Jesus Muciño Raymundo (Morelia) MSC: 37F75 34C05 34C07 34C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mardešić, Pavao; Novikov, Dmitry; Ortiz-Bobadilla, Laura; Pontigo-Herrera, Jessie Infinite orbit depth and length of Melnikov functions. (English) Zbl 1435.37086 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 7, 1941-1957 (2019). Reviewer: Alexander Grin (Grodno) MSC: 37J40 34C07 34C05 34C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mardešić, Pavao; Novikov, Dmitry; Ortiz-Bobadilla, Laura; Pontigo-Herrera, Jessie Bounding the length of iterated integrals of the first nonzero Melnikov function. (English) Zbl 1418.34075 Mosc. Math. J. 18, No. 2, 367-386 (2018). MSC: 34C08 34C07 34C05 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Álvarez, Amelia; Bravo, José Luis; Mardešić, Pavao Inductive solution of the tangential center problem on zero-cycles. (English) Zbl 1296.14009 Mosc. Math. J. 13, No. 4, 555-583 (2013). Reviewer: Rainer Brück (Dortmund) MSC: 14D05 34C07 34C08 14K20 34M35 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Bobieński, Marcin; Mardešić, Pavao; Novikov, Dmitry Pseudo-abelian integrals on slow-fast Darboux systems. (Intégrales pseudo-abéliennes sur des systèmes lent-rapide de Darboux.) (English. French summary) Zbl 1278.34031 Ann. Inst. Fourier 63, No. 2, 417-430 (2013). Reviewer: Maite Grau (Lleida) MSC: 34C08 34C07 34C23 34C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bobienski, Marcin; Mardesic, Pavao Pseudo-Abelian integrals along Darboux cycles. (English) Zbl 1171.34023 Proc. Lond. Math. Soc. (3) 97, No. 3, 669-688 (2008). Reviewer: Maite Grau (Lleida) MSC: 34C08 34C07 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Chengzhi; Mardešić, Pavao; Roussarie, Robert Perturbations of symmetric elliptic Hamiltonians of degree four. (English) Zbl 1105.37034 J. Differ. Equations 231, No. 1, 78-91 (2006). MSC: 37J40 34C07 34C08 37G15 37J15 × Cite Format Result Cite Review PDF Full Text: DOI