Edit Profile (opens in new tab) Cherry, Thomas MacFarland Co-Author Distance Author ID: cherry.thomas-m Published as: Cherry, T. M. External Links: MacTutor · MGP · Wikidata · GND Documents Indexed: 37 Publications since 1923, including 1 Book Biographic References: 5 Publications Co-Authors: 2 Co-Authors with 2 Joint Publications 31 Co-Co-Authors Co-Authors 35 single-authored 1 Lush, P. E. 1 Neumann, Bernhard Hermann all top 5 Serials 7 Proceedings of the Cambridge Philosophical Society 6 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 5 Proceedings of the London Mathematical Society. Second Series 3 Journal of the Australian Mathematical Society 2 American Journal of Mathematics 2 Journal of the London Mathematical Society 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Journal of Differential Equations 1 Philosophical Transactions of the Royal Society of London. Ser. A 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quarterly of Applied Mathematics 1 Transactions of the American Mathematical Society 1 Philosophical Transactions of the Royal Society of London, Series A 1 Transactions of the Cambridge Philosophical Society Fields 2 Ordinary differential equations (34-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 164 times in 147 Documents Cited by ▼ Year ▼ Analytic quasi-periodic curves of discontinuous type on a torus. Zbl 0019.11503Cherry, T. M. 23 1938 Uniform asymptotic formulae for functions with transition points. Zbl 0036.06102Cherry, T. M. 20 1950 On the solution of Hamiltonian systems of differential equations in the neighbourhood of a singular point. JFM 53.0406.03Cherry, T. M. 16 1928 Asymptotic solutions of analytic Hamiltonian systems. Zbl 0165.42001Cherry, T. M. 12 1968 The variational method in hydrodynamics. Zbl 0070.42408Lush, P. E.; Cherry, T. M. 10 1956 Asymptotic expansions for the hypergeometric functions occurring in gas- flow theory. Zbl 0037.33102Cherry, T. M. 10 1950 Integrals developable about a singular point of a Hamiltonian system of differential equations. II. JFM 51.0333.02Cherry, T. M. 10 1925 Topological properties of the solutions of ordinary differential equations. Zbl 0017.35101Cherry, T. M. 9 1937 On integrals developable about a singular point of a Hamiltonian System of differential equations. JFM 50.0305.01Cherry, T. M. 7 1924 Expansions in terms of parabolic cylinder functions. Zbl 0038.22502Cherry, T. M. 6 1948 On periodic solutions of Hamiltonian systems of differential equations. JFM 54.0495.01Cherry, T. M. 6 1928 Flow of a compressible fluid about a cylinder. Zbl 0029.17606Cherry, T. M. 5 1947 Analytic quasiperiodic curves of discontinuous type on a torus. JFM 64.1141.02Cherry, T. M. 4 1938 Topological properties of the solutions of ordinary differential equations. JFM 63.0422.02Cherry, T. M. 4 1937 The pathology of differential equations. Zbl 0093.09104Cherry, T. M. 2 1959 Flow of a compressible fluid about a cylinder. II. Flow with circulation. Zbl 0031.43201Cherry, T. M. 2 1949 Exact solutions for flow of a perfect gas in a two-dimensional Laval nozzle. Zbl 0040.11501Cherry, T. M. 2 1950 Uniform asymptotic expansions. Zbl 0045.34402Cherry, T. M. 2 1949 Tables and approximate formulae for hypergeometric functions, a high order, occurring in gas-flow theory. Zbl 0050.35103Cherry, T. M. 2 1953 A singular case of iteration of analytic functions: A contribution to the small-divisor problem. Zbl 0143.29401Cherry, T. M. 2 1964 On the transformation of Hamiltonian systems of linear differential equations with constant or periodic coefficients. JFM 53.0406.02Cherry, T. M. 2 1927 On Poincaré’s theorem of the non-existence of uniform integrals of dynamical equations. JFM 50.0532.03Cherry, T. M. 2 1924 Integrals of Systems of ordinary differential equations. JFM 50.0304.01Cherry, T. M. 2 1924 Trans-sonic nozzle flows found by the hodograph method. Zbl 0118.20001Cherry, T. M. 1 1961 Summation of slowly convergent series. Zbl 0037.04802Cherry, T. M. 1 1950 Uniform asymptotic expansions. Zbl 0041.42205Cherry, T. M. 1 1949 A transformation of the Hodograph equation and the determination of certain fluid motions. Zbl 0050.19406Cherry, T. M. 1 1953 Asymptotic solutions of analytic Hamiltonian systems. Zbl 0165.42001Cherry, T. M. 12 1968 A singular case of iteration of analytic functions: A contribution to the small-divisor problem. Zbl 0143.29401Cherry, T. M. 2 1964 Trans-sonic nozzle flows found by the hodograph method. Zbl 0118.20001Cherry, T. M. 1 1961 The pathology of differential equations. Zbl 0093.09104Cherry, T. M. 2 1959 The variational method in hydrodynamics. Zbl 0070.42408Lush, P. E.; Cherry, T. M. 10 1956 Tables and approximate formulae for hypergeometric functions, a high order, occurring in gas-flow theory. Zbl 0050.35103Cherry, T. M. 2 1953 A transformation of the Hodograph equation and the determination of certain fluid motions. Zbl 0050.19406Cherry, T. M. 1 1953 Uniform asymptotic formulae for functions with transition points. Zbl 0036.06102Cherry, T. M. 20 1950 Asymptotic expansions for the hypergeometric functions occurring in gas- flow theory. Zbl 0037.33102Cherry, T. M. 10 1950 Exact solutions for flow of a perfect gas in a two-dimensional Laval nozzle. Zbl 0040.11501Cherry, T. M. 2 1950 Summation of slowly convergent series. Zbl 0037.04802Cherry, T. M. 1 1950 Flow of a compressible fluid about a cylinder. II. Flow with circulation. Zbl 0031.43201Cherry, T. M. 2 1949 Uniform asymptotic expansions. Zbl 0045.34402Cherry, T. M. 2 1949 Uniform asymptotic expansions. Zbl 0041.42205Cherry, T. M. 1 1949 Expansions in terms of parabolic cylinder functions. Zbl 0038.22502Cherry, T. M. 6 1948 Flow of a compressible fluid about a cylinder. Zbl 0029.17606Cherry, T. M. 5 1947 Analytic quasi-periodic curves of discontinuous type on a torus. Zbl 0019.11503Cherry, T. M. 23 1938 Analytic quasiperiodic curves of discontinuous type on a torus. JFM 64.1141.02Cherry, T. M. 4 1938 Topological properties of the solutions of ordinary differential equations. Zbl 0017.35101Cherry, T. M. 9 1937 Topological properties of the solutions of ordinary differential equations. JFM 63.0422.02Cherry, T. M. 4 1937 On the solution of Hamiltonian systems of differential equations in the neighbourhood of a singular point. JFM 53.0406.03Cherry, T. M. 16 1928 On periodic solutions of Hamiltonian systems of differential equations. JFM 54.0495.01Cherry, T. M. 6 1928 On the transformation of Hamiltonian systems of linear differential equations with constant or periodic coefficients. JFM 53.0406.02Cherry, T. M. 2 1927 Integrals developable about a singular point of a Hamiltonian system of differential equations. II. JFM 51.0333.02Cherry, T. M. 10 1925 On integrals developable about a singular point of a Hamiltonian System of differential equations. JFM 50.0305.01Cherry, T. M. 7 1924 On Poincaré’s theorem of the non-existence of uniform integrals of dynamical equations. JFM 50.0532.03Cherry, T. M. 2 1924 Integrals of Systems of ordinary differential equations. JFM 50.0304.01Cherry, T. M. 2 1924 all cited Publications top 5 cited Publications all top 5 Cited by 199 Authors 6 Giorgilli, Antonio 5 Aranson, Samuil Khaĭmovich 5 Zhuzhoma, Evgeniĭ Viktorovich 4 Contopoulos, George 4 Yokoyama, Tomoo 3 Lush, P. E. 3 Palmisano, Liviana 3 Petrov, Aleksandr Georgievich 2 Battelli, Flaviano 2 Cherry, Thomas MacFarland 2 Galgani, Luigi 2 Palmer, Kenneth James 2 Troshin, V. I. 2 Zauderer, Erich 1 Agmon, Shmuel 1 Alenitsyn, Alexander G. 1 Alfriend, Kyle T. 1 Alves Gouveia, Márcio Ricardo 1 Anikin, A. Yu. 1 Aslanov, S. K. 1 Awrejcewicz, Jan 1 Badard, Robert 1 Bader, Roger 1 Balodis, Pedro 1 Barceló, Juan Antonio 1 Bardin, Boris Sabirovich 1 Beekman, John A. 1 Belykh, Vladimir Nikitich 1 Benettin, Giancarlo 1 Bollmann, G. 1 Boyd, Colin A. 1 Bronshteĭn, Idel Usherovich 1 Bürck, Moritz 1 Burov, Aleksandr Anatol’evich 1 Buslaev, Vladimir Savel’evich 1 Cantwell, John C. 1 Caracciolo, Chiara 1 Carati, Andrea 1 Carayol, Quentin 1 Carletti, Timoteo 1 Carroll, C. R. 1 Chertkov, Yu. S. 1 Chiocchia, Gianfranco 1 Clark, Trevor 1 Colli, Eduardo 1 Collino, Francis 1 Conlon, Lawrence 1 Córdoba Barba, Antonio Juan 1 Cui, Jianbo 1 de Melo, Welington 1 Delis, N. 1 Denzler, Jochen 1 Dunne, Gerald V. 1 Efthymiopoulos, Christos 1 Eliasson, L. Hakan 1 Evans, Robert L. 1 Fefferman, Charles Louis 1 Ferrari, Carlo 1 Fialkovsky, Ignat V. 1 Fomichev, A. V. 1 Friedel, Paul 1 Gabutti, Bruno 1 Gardiner, C. J. 1 George, Claude D. 1 Germain, Paul 1 Glendinning, Paul Alexander 1 Gouveia, Márcio R. Alves 1 Graffi, Sandro 1 Grecos, Alkis P. 1 Greenspan, Donald 1 Grigis, Alain 1 Grines, Vyacheslav Zigmundovich 1 Guckenheimer, John M. 1 Guerman, Anna D. 1 Gushchin, B. A. 1 Habashi, Wagdi G. 1 Henrard, Jacques 1 Herman, Michael Robert 1 Hillairet, Luc 1 Hirsch, Morris W. 1 Hough, Michael E. 1 Huang, Can 1 Ilderton, Anton 1 Ivanov, Alexey V. 1 Jiménez López, Víctor 1 Jones, Arthur R. 1 Joshi, Pankaj S. 1 Judge, Christopher M. 1 Kalnins, Ernest G. 1 Karbstein, Felix 1 Katsanikas, Matthaios 1 Kawai, Takahiro 1 Kazarinoff, Nicholas D. 1 Khosla, Prem K. 1 Kim, Seunghwan 1 Kirnasov, B. S. 1 Klein, Markus 1 Kocherlakota, Prashant 1 Kono, Shigeo 1 Kraiko, A. N. ...and 99 more Authors all top 5 Cited in 76 Serials 9 Journal of Differential Equations 9 PMM, Journal of Applied Mathematics and Mechanics 5 Communications in Mathematical Physics 5 Journal of Applied Mathematics and Mechanics 5 Proceedings of the American Mathematical Society 5 Ergodic Theory and Dynamical Systems 5 Celestial Mechanics 5 Journal of the Australian Mathematical Society 4 Transactions of the American Mathematical Society 4 Physica D 3 Journal of Mathematical Physics 3 Mathematical Notes 3 Advances in Mathematics 3 Celestial Mechanics and Dynamical Astronomy 3 Journal of Mathematical Sciences (New York) 3 Regular and Chaotic Dynamics 2 Fluid Dynamics 2 Journal d’Analyse Mathématique 2 Journal of Engineering Mathematics 2 Journal of Mathematical Analysis and Applications 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Annales de l’Institut Fourier 2 Bulletin de la Société Mathématique de France 2 Mathematische Annalen 2 Applied Mathematics and Mechanics. (English Edition) 2 Bulletin of the American Mathematical Society. New Series 1 Acta Mechanica 1 Archive for History of Exact Sciences 1 Archive for Rational Mechanics and Analysis 1 Biological Cybernetics 1 Bulletin of the Australian Mathematical Society 1 Computers and Fluids 1 Journal of Statistical Physics 1 Nonlinearity 1 Physics Reports 1 Theoretical and Mathematical Physics 1 Ukrainian Mathematical Journal 1 Wave Motion 1 Chaos, Solitons and Fractals 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Boletim da Sociedade Brasileira de Matemática 1 Duke Mathematical Journal 1 Functional Analysis and its Applications 1 Fundamenta Mathematicae 1 Gaṇita 1 International Journal for Numerical Methods in Engineering 1 Journal of Functional Analysis 1 Numerische Mathematik 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Topology and its Applications 1 Dynamics and Stability of Systems 1 Journal of Scientific Computing 1 Journal of Statistical Computation and Simulation 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Journal of Dynamics and Differential Equations 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 SIAM Journal on Scientific Computing 1 Discrete and Continuous Dynamical Systems 1 Nonlinear Dynamics 1 Chaos 1 Journal of Dynamical and Control Systems 1 Journal of High Energy Physics 1 Doklady Physics 1 Qualitative Theory of Dynamical Systems 1 Differential Equations 1 Analysis and Applications (Singapore) 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Proceedings of the Japan Academy 1 Applied Scientific Research, Section A 1 Arabian Journal of Mathematics 1 Journal of Classical Analysis 1 Journal of Computational Dynamics 1 Mathematics in Engineering all top 5 Cited in 34 Fields 59 Dynamical systems and ergodic theory (37-XX) 28 Mechanics of particles and systems (70-XX) 23 Ordinary differential equations (34-XX) 17 Partial differential equations (35-XX) 17 Fluid mechanics (76-XX) 10 Quantum theory (81-XX) 9 Numerical analysis (65-XX) 7 Manifolds and cell complexes (57-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Special functions (33-XX) 4 Differential geometry (53-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 General topology (54-XX) 3 Biology and other natural sciences (92-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Relativity and gravitational theory (83-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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