Tong, Zhicheng; Xu, Lu; Li, Yong A sharp integrability condition on \(C^1\) linearization for planar contractions under modulus of continuity. (English) Zbl 07941393 J. Differ. Equations 413, 370-410 (2024). MSC: 37C15 47H09 × Cite Format Result Cite Review PDF Full Text: DOI
Lee, Seul Bee; Marmi, Stefano; Petrykiewicz, Izabela; Schindler, Tanja I. Regularity properties of \(k\)-Brjuno and Wilton functions. (English) Zbl 1535.30010 Aequationes Math. 98, No. 1, 13-85 (2024); correction ibid. 98, No. 1, 349-350 (2024). MSC: 30B70 37F50 46F15 11F03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fu, Rong; Zhou, Ji Small cycles property of some Cremer rational maps and polynomials. (English) Zbl 1542.37044 Chin. Ann. Math., Ser. B 45, No. 1, 123-136 (2024). Reviewer: Haifeng Chu (Xi’an) MSC: 37F50 37F10 40A15 × Cite Format Result Cite Review PDF Full Text: DOI
Sansottera, Marco; Danesi, Veronica Kolmogorov variation: Kam with knobs (à la Kolmogorov). (English) Zbl 07817724 Math. Eng. (Springfield) 5, No. 5, Paper No. 89, 19 p. (2023). MSC: 68-XX 65-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cheraghi, Davoud Arithmetic geometric model for the renormalisation of irrationally indifferent attractors. (English) Zbl 1542.37037 Nonlinearity 36, No. 12, 6403-6475 (2023). MSC: 37F25 37F50 37F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Reppekus, Josias Small divisors in discrete local holomorphic dynamics. (English) Zbl 1536.37048 Boll. Unione Mat. Ital. 16, No. 2, 173-202 (2023). Reviewer: Lorena López Hernanz (Alcalá de Henares; Madrid) MSC: 37F80 37F50 37F44 37F25 37F12 32H02 × Cite Format Result Cite Review PDF Full Text: DOI
Kisaka, Masashi; Naba, Hiroto Some transcendental entire functions with irrationally indifferent fixed points. (English) Zbl 1503.30072 Kodai Math. J. 45, No. 3, 369-387 (2022). MSC: 30D20 30D05 37F10 × Cite Format Result Cite Review PDF Full Text: DOI
Marmi, Stefano Some arithmetical aspects of renormalization in Teichmüller dynamics: on the occasion of Corinna Ulcigrai winning the Brin Prize. (English) Zbl 1490.11068 J. Mod. Dyn. 18, 131-147 (2022). MSC: 11J06 37D40 37E05 37E20 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Tian; Ren, Zhihua A Siegel theorem for periodic difference systems. (English) Zbl 1481.39020 J. Difference Equ. Appl. 27, No. 5, 698-711 (2021). MSC: 39A45 37C05 37G05 × Cite Format Result Cite Review PDF Full Text: DOI
Bounemoura, Abed Bounemoura; Féjoz, Jacques Hamiltonian perturbation theory for ultra-differentiable functions. (English) Zbl 1487.37001 Memoirs of the American Mathematical Society 1319. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4691-8/pbk; 978-1-4704-6526-1/ebook). v, 89 p. (2021). MSC: 37-02 37K55 37J40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Konyaev, Andrey Yu. Nijenhuis geometry. II: Left-symmetric algebras and linearization problem for Nijenhuis operators. (English) Zbl 1477.17105 Differ. Geom. Appl. 74, Article ID 101706, 33 p. (2021). MSC: 17D25 53B99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Caprio, Danilo A.; Messaoudi, Ali; Valle, Glauco Stochastic adding machines based on Bratteli diagrams. (Odomètres stochastiques associées aux diagrammes de Bratteli.) (English. French summary) Zbl 1469.37003 Ann. Inst. Fourier 70, No. 6, 2543-2581 (2020). MSC: 37A30 37B10 37C30 37F80 60J10 47A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shaĭkhullina, Polina Alekseevna Sectorial normalization of simplest germs of semi-hyperbolic maps in a half-neighborhood. (Russian. English summary) Zbl 1474.37043 Ufim. Mat. Zh. 12, No. 2, 71-86 (2020); translation in Ufa Math. J. 12, No. 2, 72-87 (2020). MSC: 37E30 37C20 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Dragičević, Davor; Zhang, Weinian; Zhang, Wenmeng Smooth linearization of nonautonomous differential equations with a nonuniform dichotomy. (English) Zbl 1450.37025 Proc. Lond. Math. Soc. (3) 121, No. 1, 32-50 (2020). Reviewer: Christian Pötzsche (Klagenfurt) MSC: 37C60 37D25 37C75 34D09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bounemoura, Abed Some remarks on the optimality of the Bruno-Rüssmann conditions. (Quelques remarques sur l’optimalité de la condition de Bruno-Rüssmann.) (English. French summary) Zbl 1427.37048 Bull. Soc. Math. Fr. 147, No. 2, 341-353 (2019). MSC: 37J40 37J25 × Cite Format Result Cite Review PDF Full Text: arXiv
Dragičević, Davor; Zhang, Weinian; Zhang, Wenmeng Smooth linearization of nonautonomous difference equations with a nonuniform dichotomy. (English) Zbl 1428.37021 Math. Z. 292, No. 3-4, 1175-1193 (2019). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 37C60 37D25 39A12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pavlova, N. G.; Remizov, A. O. Completion of the classification of generic singularities of geodesic flows in two classes of metrics. (English. Russian original) Zbl 1458.53050 Izv. Math. 83, No. 1, 104-123 (2019); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 1, 119-139 (2019). MSC: 53C22 53B30 34C05 53D25 × Cite Format Result Cite Review PDF Full Text: DOI
Si, Wen; Si, Jianguo Elliptic-type degenerate invariant tori for quasi-periodically forced four-dimensional non-conservative systems. (English) Zbl 1381.37074 J. Math. Anal. Appl. 460, No. 1, 164-202 (2018). MSC: 37J40 37J05 × Cite Format Result Cite Review PDF Full Text: DOI
Shaĭkhullina, Polina Alekseevna; Voronin, Sergeĭ Mikhaĭlovich Functional invariant for typical germs of semihyperbolic mappings. (Russian. English summary) Zbl 1465.32003 Chelyabinskiĭ Fiz.-Mat. Zh. 2, No. 4, 447-455 (2017). MSC: 32S05 37F99 × Cite Format Result Cite Review PDF Full Text: MNR
Jaurez-Rosas, Jessica Angélica Real-formal orbital rigidity for germs of real analytic vector fields on the real plane. (English) Zbl 1369.32022 J. Dyn. Control Syst. 23, No. 1, 89-109 (2017). MSC: 32S65 37F75 32M25 × Cite Format Result Cite Review PDF Full Text: DOI
Petrykiewicz, Izabela Differentiability of arithmetic Fourier series arising from Eisenstein series. (English) Zbl 1423.42003 Ramanujan J. 42, No. 3, 527-581 (2017). MSC: 42A16 11F30 26A27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chu, Haifeng On the Blaschke circle diffeomorphisms. (English) Zbl 1339.37038 Proc. Am. Math. Soc. 143, No. 3, 1169-1182 (2015). Reviewer: Tao Chen (Long Island City) MSC: 37F50 37F10 37F30 × Cite Format Result Cite Review PDF Full Text: DOI
Devaney, Robert L. Singular perturbations of complex polynomials. (English) Zbl 1277.37074 Bull. Am. Math. Soc., New Ser. 50, No. 3, 391-429 (2013). MSC: 37F10 37F45 37F50 × Cite Format Result Cite Review PDF Full Text: DOI
Babenko, I. K. Algebra, geometry, and topology of the substitution group of formal power series. (English. Russian original) Zbl 1275.20024 Russ. Math. Surv. 68, No. 1, 1-68 (2013); translation from Usp. Mat. Nauk 68, No. 1, 3-76 (2013). Reviewer: A. Caranti (Trento) MSC: 20E18 20-02 20F22 22A05 22A10 13F25 × Cite Format Result Cite Review PDF Full Text: DOI
Ghezzi, R.; Remizov, A. O. On a class of vector fields with discontinuities of divide-by-zero type and its applications to geodesics in singular metrics. (English) Zbl 1284.37016 J. Dyn. Control Syst. 18, No. 1, 135-158 (2012). MSC: 37C15 34C05 34C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abate, Marco Open problems in local discrete holomorphic dynamics. (English) Zbl 1254.32026 Anal. Math. Phys. 1, No. 4, 261-287 (2011). MSC: 32H50 37F99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Wenmeng; Zhang, Weinian \(C^{1}\) linearization for planar contractions. (English) Zbl 1217.37019 J. Funct. Anal. 260, No. 7, 2043-2063 (2011). Reviewer: Sophia L. Kalpazidou (Thessaloniki) MSC: 37C15 × Cite Format Result Cite Review PDF Full Text: DOI
Jenkins, Adrian; Spallone, Steven A \(p\)-adic approach to local analytic dynamics: analytic conjugacy of analytic maps tangent to the identity. (English) Zbl 1185.37210 Ann. Fac. Sci. Toulouse, Math. (6) 18, No. 3, 611-634 (2009). MSC: 37P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML
Bacha, Inès Local simplification of first-order systems of ordinary differential equations of dimension two. (English) Zbl 1001.65072 Math. Comput. Simul. 60, No. 1-2, 19-44 (2002). MSC: 65L05 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Xinghua; Han, Danfu Extraneous fixed points of Euler iteration and corresponding Sullivan’s basin. (English) Zbl 1006.65045 Sci. China, Ser. A 44, No. 3, 292-298 (2001). Reviewer: Vasile Berinde (Baia Mare) MSC: 65H05 × Cite Format Result Cite Review PDF Full Text: DOI
Stolovitch, Laurent Singular complete integrability. (English) Zbl 0997.32024 Publ. Math., Inst. Hautes Étud. Sci. 91, 133-210 (2000). Reviewer: Eugen Pascu (Montreal) MSC: 32S65 37F75 17B66 17B80 32G99 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Grispolakis, Joachim; Mayer, John C.; Oversteegen, Lex G. Building blocks for quadratic Julia sets. (English) Zbl 0946.30015 Trans. Am. Math. Soc. 351, No. 3, 1171-1201 (1999). Reviewer: Dierk Schleicher (München) MSC: 30D05 30C35 37F50 × Cite Format Result Cite Review PDF Full Text: DOI
Bogatyj, Semeon On the nonexistence of iterative roots. (English) Zbl 0910.58021 Topology Appl. 76, No. 2, 97-123 (1997). Reviewer: Katarina Janková (Bratislava) MSC: 37B99 58J20 × Cite Format Result Cite Review PDF Full Text: DOI
Rogers, James T. jun. Critical points on the boundaries of Siegel disks. (English) Zbl 0867.58052 Bull. Am. Math. Soc., New Ser. 32, No. 3, 317-321 (1995). Reviewer: N.Terglane (Aachen) MSC: 37F99 30D05 54F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Stolovitch, Laurent On a theorem of Dulac. (Sur un théorème de Dulac.) (French) Zbl 0820.34023 Ann. Inst. Fourier 44, No. 5, 1397-1433 (1994). MSC: 34C20 30D05 34C40 34A34 37C80 37G05 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Pérez-Marco, Ricardo On nonlinearizable holomorphic dynamics and a conjecture of V. I. Arnold. (Sur les dynamiques holomorphes non linéarisables et une conjecture de V. I. Arnold.) (French) Zbl 0812.58051 Ann. Sci. Éc. Norm. Supér. (4) 26, No. 5, 565-644 (1993). Reviewer: H.Kriete (Aachen) MSC: 37B99 26A18 30D05 37C25 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Bergweiler, Walter Iteration of meromorphic functions. (English) Zbl 0791.30018 Bull. Am. Math. Soc., New Ser. 29, No. 2, 151-188 (1993). Reviewer: H.Kriete (Aachen) MSC: 30D05 65H05 37B99 30D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pöschel, Jürgen Small divisors with spatial structure in infinite dimensional Hamiltonian systems. (English) Zbl 0702.58065 Commun. Math. Phys. 127, No. 2, 351-393 (1990). MSC: 37J40 37J99 37J35 37K10 × Cite Format Result Cite Review PDF Full Text: DOI