Kotlyarov, Volodymyr; Minakov, Oleksandr Maxwell-Bloch equations without spectral broadening: the long-time asymptotics of an input pulse in a long two-level laser amplifier. (English) Zbl 07735415 Nonlinearity 36, No. 9, 5007-5074 (2023). MSC: 35Q60 35Q15 35Q51 78A60 35C08 35B40 35M13 30E20 37K10 37K40 45E05 PDFBibTeX XMLCite \textit{V. Kotlyarov} and \textit{O. Minakov}, Nonlinearity 36, No. 9, 5007--5074 (2023; Zbl 07735415) Full Text: DOI arXiv
Kudryavtseva, Elena A. Hidden toric symmetry and structural stability of singularities in integrable systems. (English) Zbl 1509.37066 Eur. J. Math. 8, No. 4, 1487-1549 (2022). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J25 37J35 37C20 53D12 53D20 70H06 PDFBibTeX XMLCite \textit{E. A. Kudryavtseva}, Eur. J. Math. 8, No. 4, 1487--1549 (2022; Zbl 1509.37066) Full Text: DOI arXiv
Vladimirov, Igor G.; Petersen, Ian R.; James, Matthew R. Quadratic-exponential functionals of Gaussian quantum processes. (English) Zbl 1486.81143 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 24, No. 4, Article ID 2150024, 40 p. (2021). MSC: 81S22 81S25 81P16 81S05 81R15 47B35 81Q10 37L40 60G15 81Q93 93B35 94A17 PDFBibTeX XMLCite \textit{I. G. Vladimirov} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 24, No. 4, Article ID 2150024, 40 p. (2021; Zbl 1486.81143) Full Text: DOI arXiv
Shamolin, M. V. New cases of integrable odd-order systems with dissipation. (English. Russian original) Zbl 1494.37038 Dokl. Math. 101, No. 2, 158-164 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 491, 95-101 (2020). MSC: 37J35 37J39 70H06 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Dokl. Math. 101, No. 2, 158--164 (2020; Zbl 1494.37038); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 491, 95--101 (2020) Full Text: DOI
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 PDFBibTeX XMLCite \textit{P. A. Shaĭkhullina}, Ufim. Mat. Zh. 12, No. 2, 71--86 (2020; Zbl 1474.37043); translation in Ufa Math. J. 12, No. 2, 72--87 (2020) Full Text: DOI MNR
Shamolin, M. V. Integrable seventh and ninth order dynamic systems with dissipation. (English. Russian original) Zbl 1445.37041 J. Math. Sci., New York 244, No. 4, 686-702 (2020); translation from Probl. Mat. Anal. 101, 131-145 (2019). MSC: 37J35 37J39 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 244, No. 4, 686--702 (2020; Zbl 1445.37041); translation from Probl. Mat. Anal. 101, 131--145 (2019) Full Text: DOI
Cantat, Serge; Dupont, Christophe Automorphisms of surfaces: Kummer rigidity and measure of maximal entropy. (English) Zbl 1476.37071 J. Eur. Math. Soc. (JEMS) 22, No. 4, 1289-1351 (2020). MSC: 37F80 14J50 32H50 32U40 37C40 PDFBibTeX XMLCite \textit{S. Cantat} and \textit{C. Dupont}, J. Eur. Math. Soc. (JEMS) 22, No. 4, 1289--1351 (2020; Zbl 1476.37071) Full Text: DOI arXiv
Han, Maoan; Sun, Hao; Balanov, Zalman Upper estimates for the number of periodic solutions to multi-dimensional systems. (English) Zbl 1459.34103 J. Differ. Equations 266, No. 12, 8281-8293 (2019). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C25 34C29 37C60 PDFBibTeX XMLCite \textit{M. Han} et al., J. Differ. Equations 266, No. 12, 8281--8293 (2019; Zbl 1459.34103) Full Text: DOI
Popov, Sasho; Strelcyn, Jean-Marie The Euler-Poisson equations: an elementary approach to integrability conditions. (English) Zbl 1411.70006 J. Geom. Mech. 10, No. 3, 293-329 (2018). MSC: 70E17 70E40 37J30 37J35 PDFBibTeX XMLCite \textit{S. Popov} and \textit{J.-M. Strelcyn}, J. Geom. Mech. 10, No. 3, 293--329 (2018; Zbl 1411.70006) Full Text: DOI
Shamolin, M. V. Integrable dynamic systems with dissipation and finitely many degrees of freedom. (English. Russian original) Zbl 1403.37069 J. Math. Sci., New York 235, No. 3, 334-359 (2018); translation from Probl. Mat. Anal. 95, 79-101 (2018). MSC: 37J35 70G45 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 235, No. 3, 334--359 (2018; Zbl 1403.37069); translation from Probl. Mat. Anal. 95, 79--101 (2018) Full Text: DOI
Shamolin, M. V. Integrable systems with dissipation and two and three degrees of freedom. (English. Russian original) Zbl 1403.37068 J. Math. Sci., New York 235, No. 2, 220-242 (2018); translation from Probl. Mat. Anal. 94, 91-109 (2018). MSC: 37J35 70G45 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 235, No. 2, 220--242 (2018; Zbl 1403.37068); translation from Probl. Mat. Anal. 94, 91--109 (2018) Full Text: DOI
Shamolin, M. V. Integrable systems in the dynamics on the tangent bundle of a two-dimensional sphere. (English. Russian original) Zbl 1373.37142 Mosc. Univ. Mech. Bull. 71, No. 2, 27-32 (2016); translation from Vestn. Mosk. Univ., Ser. I 71, No. 2, 25-30 (2016). MSC: 37J35 70B10 70E40 70E55 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Mosc. Univ. Mech. Bull. 71, No. 2, 27--32 (2016; Zbl 1373.37142); translation from Vestn. Mosk. Univ., Ser. I 71, No. 2, 25--30 (2016) Full Text: DOI
Alkauskas, Giedrius The projective translation equation and unramified 2-dimensional flows with rational vector fields. (English) Zbl 1323.39017 Aequationes Math. 89, No. 3, 873-913 (2015). Reviewer: Choonkil Park (Daejeon) MSC: 39B12 37E35 14H52 14H05 14E05 33E05 37C10 PDFBibTeX XMLCite \textit{G. Alkauskas}, Aequationes Math. 89, No. 3, 873--913 (2015; Zbl 1323.39017) Full Text: DOI arXiv
Charak, K. S.; Rochon, D.; Sharma, N. Normal families of bicomplex holomorphic functions. (English) Zbl 1230.30032 Fractals 17, No. 3, 257-268 (2009). MSC: 30G35 30D45 15A66 37F50 30D05 PDFBibTeX XMLCite \textit{K. S. Charak} et al., Fractals 17, No. 3, 257--268 (2009; Zbl 1230.30032) Full Text: DOI arXiv
Gorbovitskis, I. A. Normal forms of families of maps in the Poincaré domain. (English. Russian original) Zbl 1351.37204 Proc. Steklov Inst. Math. 254, 94-102 (2006); translation from Tr. Mat. Inst. Steklova 254, 101-110 (2006). MSC: 37G05 37F75 34C20 37C99 PDFBibTeX XMLCite \textit{I. A. Gorbovitskis}, Proc. Steklov Inst. Math. 254, 94--102 (2006; Zbl 1351.37204); translation from Tr. Mat. Inst. Steklova 254, 101--110 (2006) Full Text: DOI
Martineau, Étienne; Rochon, Dominic On a bicomplex distance estimation for the Tetrabrot. (English) Zbl 1093.37507 Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 9, 3039-3050 (2005). MSC: 37F10 37F50 28A80 PDFBibTeX XMLCite \textit{É. Martineau} and \textit{D. Rochon}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 9, 3039--3050 (2005; Zbl 1093.37507) Full Text: DOI
Ru, Min; Yi, Eunjeong Nevanlinna theory and iteration of rational maps. (English) Zbl 1073.11052 Math. Z. 249, No. 1, 125-138 (2005). Reviewer: Filip Saidak (Winston-Salem) MSC: 11J97 30D05 30D35 37F10 14G25 PDFBibTeX XMLCite \textit{M. Ru} and \textit{E. Yi}, Math. Z. 249, No. 1, 125--138 (2005; Zbl 1073.11052) Full Text: DOI
Chistyakov, D. V. Fractal geometry for images of continuous embeddings of \(p\)-adic numbers and solenoids into Euclidean spaces. (English. Russian original) Zbl 0937.28007 Theor. Math. Phys. 109, No. 3, 1495-1507 (1996); translation from Teor. Mat. Fiz. 109, No. 3, 323-337 (1996). MSC: 28A80 11K41 37D45 11S80 PDFBibTeX XMLCite \textit{D. V. Chistyakov}, Theor. Math. Phys. 109, No. 3, 1495--1507 (1996; Zbl 0937.28007); translation from Teor. Mat. Fiz. 109, No. 3, 323--337 (1996) Full Text: DOI arXiv
Rerikh, K. V. Non-algebraic integrability of the Chew-Low reversible dynamical system of the Cremona type and the relation with the 7th Hilbert problem (non-resonant case). (English) Zbl 0888.58054 Physica D 82, No. 1-2, 60-78 (1995). MSC: 37F99 37G05 11J68 81V35 PDFBibTeX XMLCite \textit{K. V. Rerikh}, Physica D 82, No. 1--2, 60--78 (1995; Zbl 0888.58054) Full Text: DOI
Horowski, M.; Kryszeń, A.; Odzijewicz, A. Classical and quantum mechanics on the unit ball in \({\mathbb{C}}^ n\). (English) Zbl 0639.32016 Rep. Math. Phys. 24, No. 3, 351-363 (1986). Reviewer: M.Murray MSC: 32M15 37J99 53D50 81R30 PDFBibTeX XMLCite \textit{M. Horowski} et al., Rep. Math. Phys. 24, No. 3, 351--363 (1986; Zbl 0639.32016) Full Text: DOI
Kazarnovskij, B. Ya. Newton polyhedra and zeros of systems of exponential sums. (English. Russian original) Zbl 0593.32001 Funct. Anal. Appl. 18, 299-307 (1984); translation from Funkts. Anal. Prilozh. 18, No. 4, 40-49 (1984). Reviewer: H.S.Nur MSC: 32A10 32A20 37C10 PDFBibTeX XMLCite \textit{B. Ya. Kazarnovskij}, Funct. Anal. Appl. 18, 299--307 (1984; Zbl 0593.32001); translation from Funkts. Anal. Prilozh. 18, No. 4, 40--49 (1984) Full Text: DOI