@incollection{, FF9705E30FEA53620D183930D9F1D31F 10.1016/j.jappmathmech.2012.03.006. , author={{}}, journal={{}}, journal={{}}, address={Cambridge, United States}, publisher={Global Journals Organisation} } @incollection{b0, , title={{}} , author={{ GDBirkhoff }} , journal={{Dynamical Systems}} 9 , year={1966} , publisher={Colloquim Publications} , address={Providence, Rhode Island} } @incollection{b1, , title={{The asymptotic behavior of solutions of nonlinear systems of differ-ential equations}} , author={{ ADBruno }} , booktitle={{Soviet Math. Dokl. -1962.}} } @incollection{b2, , title={{Normal form of differential equations}} , author={{ ADBruno }} , booktitle={{Soviet Math. Dokl. -1964.}} 5 } @incollection{b3, , title={{Analytical form of differential equations (I)}} , author={{ ADBruno }} , booktitle={{Trans. Moscow Math. Soc. -1971.}} } @incollection{b4, , title={{Analytical form of differential equations (II)}} , author={{ ADBruno }} , booktitle={{Trans. Moscow Math. Soc. -1972.}} } @book{b5, , title={{On periodic flybys of the Moon // Celestial Mechanics. -1981}} , author={{ ADBruno }} 10.1007/BF01229557 24 } @book{b6, , title={{Local Methods in Nonlinear Differential Equations. -Berlin, Hei-delberg}} , author={{ ADBruno }} , year={1989} , publisher={Springer-Verlag} , address={New York, London, Paris, Tokyo} } @book{b7, , title={{The Restricted 3-body Problem: Plane Periodic Orbits}} , author={{ ADBruno }} , year={1994} , publisher={Walter de Gruyter} , address={Berlin} } @book{b8, , title={{Power Geometry in Algebraic and Differential Equations}} , author={{ ADBruno }} , year={2000} , publisher={Elsevier Science} , note={-Ams-terdam} } @book{b9, , title={{Families of periodic solutions to the Beletsky equation}} , author={{ ADBruno }} , year={2002} 40 } @book{b10, , title={{}} 10.1023/A:1015981105366 } @incollection{b11, , title={{Asymptotics and expansions of solutions to an ordinary differential equation}} , author={{ ADBruno }} 10.1070/RM2004v059n03ABEH , booktitle={{Russian Mathem. Surveys. -2004.}} 59 3 } @incollection{b12, , title={{Complicated expansions of solutions to an ordinary differential equa-tion}} , author={{ ADBruno }} , booktitle={{Doklady Mathematics. -2006.}} 73 } @book{b13, , title={{}} 10.1134/S1064562406010327 117 } @incollection{b14, , title={{Exotic expansions of solutions to an ordinary differential equation}} , author={{ ADBruno }} , booktitle={{Doklady Mathematics.-2007.}} 76 } @book{b15, , title={{}} 10.1134/S1064562407050237 } @book{b16, , title={{Exponential expansions of solutions to an ordinary differential equa-tion // Doklady Mathematics}} , author={{ ADBruno }} 85 } @book{b17, , title={{}} 10.1134/S1064562412020287 } @book{b18, , title={{Power-exponential expansions of solutions to an ordinary differential equation // Doklady Mathematics.-2012b}} , author={{ ADBruno }} 3. -P. 336-340. -DOI: 10.1134 S106456241 85 203009 } @incollection{b19, , title={{Power geometry and elliptic expansions of solutions to the Painlevé equations}} , author={{ ADBruno }} 10.1155/2015/340715 , journal={{International Journal of Differential Equations}} 340715 , year={2015. 2015} } @book{b20, , title={{Algorithms for solving an algebraic equation // Programming and Computer Software}} , author={{ ADBruno }} , year={2018a} } @book{b21, , title={{}} 10.1134/S0361768819100013 } @book{b22, , title={{Complicated and exotic expansions of solutions to the Painlevé equations // Formal and Analytic Solutions of Diff}} , author={{ ADBruno } and { GFilipuk } and { ALastra } and { SMichalik } and { Cham }} 10.1007/978-3-319-99148-1_7 , year={2017. 2018} , publisher={Springer} 256 } @incollection{b23, , title={{Power geometry and expansions of solutions to the Painlevé equa-tions}} , author={{ ADBruno }} , booktitle={{Transnational Journal of Pure and Applied Mathematics. -2018c.}} 1 1 } @incollection{b24, , title={{On the parametrization of an algebraic curve}} , author={{ ADBruno }} , booktitle={{Mathematical Notes.-2019a.}} 106 } @book{b25, 10.1134/S0001434619110233 , title={{Nonlinear Analysis as a Calculus}} } @incollection{b26, , title={{Power-exponential transseries as solutions to ODE}} , author={{ ADBruno }} 10.18642/jmsaa_7100122093 , journal={{Journal of Mathematical Sciences: Advances and Applications}} 59 , year={2019b.} } @book{b27, , title={{Families of periodic solutions and invariant tori of Hamiltonian systems // Formal and Analytic Solutions of Differential Equations}} , author={{ ADBruno }} 10.1142/q0335 , editor={G. Filipuk, A. Lastra, S. Michalik. -WORLD SCIENTIFIC} } @incollection{b28, , title={{On the generalized normal form of ODE systems // Qual}} , author={{ ADBruno }} 10.1007/s12346-021-00531-4 , journal={{Theory Dyn. Syst. -2022b}} 21 1 } @book{b29, , title={{Computation of unimodular matrices of power trans-formations // Programming and Computer Software.-2023}} , author={{ ADBruno } and { AAAzimov }} 49 } @book{b30, , title={{}} 10.1134/S0361768823010036 } @book{b31, , title={{Resolution of an algebraic singularity by power geometry algorithms // Programming and computer software}} , author={{ ADBruno } and { ABBatkhin }} , year={2012} 38 } @book{b32, , title={{}} 10.1134/S036176881202003X } @book{b33, , title={{Survey of Eight Modern Methods of Hamiltonian Mechanics // Axioms}} , author={{ ADBruno } and { ABBatkhin }} , year={2021} } @book{b34, , title={{}} 10.3390/axioms10040293 10 } @book{b35, , title={{Asymptotic forms of solutions to system of nonlinear partial differential equations // Universe. -2023}} , author={{ ADBruno } and { ABBatkhin }} } @book{b36, , title={{}} 10.3390/universe9010035 35 } @book{b37, , title={{Algorithmic analysis of local integrability}} , author={{ ADBruno } and { VFEnderal }} , year={2009} } @book{b38, , title={{}} 10.1134/S1064562409010141 79 } @incollection{b39, , title={{Computer Algebra in Scientific Computing}} , author={{ ADBruno } and { VFEnderal } and { VGRomanovski }} 10.1007/978-3-642-32973-9 , booktitle={{On new integrals of the Algaba-Gamero-Garcia system}} , booktitle={{Lecture Notes in Computer Science}} , editor={ VPGerdt } Berlin Heidelberg , publisher={Springer} , year={2017. 2017} 10490 , note={Proceedings CASC} } @incollection{b40, , title={{Asymptotic expansions of solutions of the sixth Painlevé equation // Transactions of}} , author={{ ADBruno } and { IVGoruchkina }} 10.1090/S0077-1554-2010-00186-0 , booktitle={{Moscow Math. Soc.-2010.}} 71 } @incollection{b41, , title={{Expansions of solutions to the equation P12 by algorithms of power geometry}} , author={{ ADBruno } and { NAKudryashov }} , booktitle={{Ukrainian Mathematical Bulletin. -2009.}} 6 3 } @incollection{b42, , title={{}} , author={{ ADBruno } and { TVShadrina }} 10.1090/S0077-1554-07-00165-3 , booktitle={{Moscow Math. Soc. -2007.}} 68 } @book{b43, , title={{Classes of families of generalized periodic solutions to the Beletsky equation // Celestial Mechanics and Dynamical Astronomy}} , author={{ ADBruno } and { VPVarin }} , year={2004} 88 } @book{b44, , title={{}} 10.1023/B:CELE.0000023390.25801.f9 } @incollection{b45, , title={{Periodic solutions of the restricted three-body problem for small mass ratio}} , author={{ ADBruno } and { VPVarin }} 10.1016/j.jappmathmech.2007.12.012 , journal={{J. Appl. Math. Mech}} 71 6 , year={2007} } @book{b46, , author={{ ADBruno } and { Chapter }} 10.1515/9783110275667.41 , title={{Proceedings of the International Conference}} , editor={ ADBruno and ABBatkhin and Berlin } the International ConferenceSaint Petersburg, Russia; Boston , publisher={De Gruyter} , year={June 17-23, 2011. 2012} , note={Space Power Geometry for one ODE and P1-P4} } @incollection{b47, , title={{Regular Asymptotic Expansions of Solutions to One ODE}} , author={{ ADBruno } and { Chapter }} 10.1515/9783110275667.67 Compilation 1.0 , booktitle={{Proceedings of the International Conference}} , editor={ ADBruno and ABBatkhin and Berlin } the International ConferenceSaint Petersburg, Russia; Boston , publisher={London Journals Press} , year={June 17-23, 2011. 2012. 2023} 15 31 } @incollection{b48, , title={{Elliptic and Periodic Asymptotic Forms of Solutions to P5}} , author={{ ADBruno } and { AVParusnikova } and { Chapter }} 10.1515/9783110275667.53 , booktitle={{Proceedings of the International Conference}} , editor={ ADBruno and ABBatkhin and Berlin } the International ConferenceSaint Petersburg, Russia; Boston , publisher={De Gruyter} , year={June 17-23, 2011} } @incollection{b49, , title={{Solutions d'un système d'équations différentialles dans le voisinage des valeures singulières}} , author={{ HDulac }} 1912. -T. 40. -P. 324-383 , journal={{Bull. Soc. Math. France}} } @incollection{b50, , title={{Convergence of formal Dulac series satisfying an algebraic ordinary differential equation}} , author={{ RRGontsov } and { IVGoryuchkina }} 10.1070/SM9064 , booktitle={{Sb. Math.-2019.}} 210 9 } @incollection{b51, , title={{Etude sur les propriétés des fonctions entières et en particulier d'une fonction considérée par Riemann}} , author={{ JHadamard }} , booktitle={{Journal de mathématiques pures et appliquées 4e série. -1893. -T. 9}} } @incollection{b52, , title={{Generating Families in the Restricted Three-Body Problem}} , author={{ MHénon }} , booktitle={{Lecture Note in Physics.Monographs}} 52 , year={1997} , publisher={Springer} , address={Berlin, Heidelber, New York} } @incollection{b53, , title={{A treatise of the method of fluxions and infinite series, with its ap-plication to the geometry of curve lines}} , author={{ INewton }} , booktitle={{The Mathematical Works of Isaac Newton}} , editor={ HWoolf } 1 , year={1964} , publisher={Johnson Reprint Corp} , address={New York -London} } @book{b54, , title={{Mathematical Models in Boundary Layer The-ory}} , author={{ OAOleinik } and { VNSamokhin }} 10.1201/9780203749364 , year={1999} , publisher={Chapman & Hall/CRC} , address={New York} } @incollection{b55, , title={{Sur les propriétés des fonctions définities par les équations aux diffé-rence partielles // Oeuvres de Henri Poincaré}} , author={{ HPoincaré }} , journal={{T. I}} , year={1928} , publisher={XLIX-CXXIX} , address={Paris} } @book{b56, , title={{Separation of Variables and Exact Solutions to Nonlinear PDEs}} , author={{ ADPolyanin } and { AIZhurov }} , year={2021} , publisher={Chapman & Hall/CRC} , address={New York} , note={401 p. Nonlinear Analysis as a Calculus} }