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Churchill, Richard C.

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Author ID: churchill.richard-c Recent zbMATH articles by "Churchill, Richard C."
Published as: Churchill, Richard C.; Churchill, R. C.; Churchill, Richard
Documents Indexed: 46 Publications since 1972
Co-Authors: 17 Co-Authors with 39 Joint Publications
278 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 343 times in 259 Documents Cited by Year
On averaging, reduction, and symmetry in Hamiltonian systems. Zbl 0476.70017
Churchill, Richard C.; Kummer, Martin; Rod, David L.
37
1983
Isolated invariant sets in compact metric spaaces. Zbl 0238.54044
Churchill, Richard C.
37
1972
On the infinitesimal geometry of integrable systems. Zbl 1005.37510
Baider, A.; Churchill, R. C.; Rod, D. L.; Singer, M. F.
27
1996
Unique normal forms for planar vector fields. Zbl 0691.58012
Baider, Alberto; Churchill, Richard
21
1988
Isolated unstable periodic orbits. Zbl 0303.34023
Churchill, R. C.; Pecelli, G.; Rod, D. L.
19
1975
Pathology in dynamical systems. III: Analytic Hamiltonians. Zbl 0421.58015
Churchill, Richard C.; Rod, David L.
17
1980
A survey of the Henon-Heiles Hamiltonian with applications to related examples. Zbl 0426.70020
Churchill, R. C.; Pecelli, G.; Rod, D. L.
16
1979
On the determination of Ziglin monodromy groups. Zbl 0739.58018
Churchill, Richard C.; Rod, David L.
14
1991
Stability transitions for periodic orbits in Hamiltonian systems. Zbl 0438.70021
Churchill, R. C.; Pecelli, G.; Rod, D. L.
11
1980
Geometrical aspects of Ziglin’s non-integrability theorem for complex Hamiltonian systems. Zbl 0661.58013
Churchill, Richard C.; Rod, David L.
10
1988
Uniqueness and non-uniqueness of normal forms for vector fields. Zbl 0671.58010
Baider, Alberto; Churchill, Richard
9
1988
Group-theoretic obstructions to integrability. Zbl 0824.58021
Churchill, R. C.; Rod, D. L.; Singer, M. F.
9
1995
The Campbell-Hausdorff group and a polar decomposition of graded algebra automorphisms. Zbl 0599.17002
Baider, A.; Churchill, R. C.
8
1988
Two generator subgroups of \(\text{SL}(2,\mathbf C)\) and the hypergeometric, Riemann, and Lamé equations. Zbl 0958.34074
Churchill, R. C.
8
1999
Monodromy and nonintegrability in complex Hamiltonian systems. Zbl 0705.58016
Baider, Alberto; Churchill, Richard C.; Rod, David L.
8
1990
On a result of Bruns. Zbl 0657.58015
Kummer, Martin; Churchill, Richard C.; Rod, David L.
7
1990
Invariant sets which carry cohomology. Zbl 0257.54043
Churchill, Richard C.
7
1973
A geometric criterion for hyperbolicity of flows. Zbl 0316.58015
Churchill, R. C.; Franke, John; Selgrade, James
7
1977
Pathology in dynamical systems. I: General theory. Zbl 0321.54020
Churchill, Richard C.; Rod, David L.
7
1976
Pathology in dynamical systems. II: Applications. Zbl 0321.54021
Churchill, Richard C.; Rod, David L.
7
1976
Homoclinic and heteroclinic orbits of reversible vectorfields under perturbation. Zbl 0605.58036
Churchill, Richard C.; Rod, David L.
6
1986
Cyclic vectors. Zbl 1087.13512
Churchill, R. C.; Kovacic, Jerald J.
6
2002
Coexistence of stable and random motion. Zbl 0369.58017
Churchill, R. C.; Pecelli, G.; Sacolick, S.; Rod, D. L.
6
1977
A spectral sequence approach to normal forms. Zbl 1112.55015
Bendersky, Martin; Churchill, Richard C.
4
2006
A unified approach to linear and nonlinear normal forms for Hamiltonian systems. Zbl 1126.37313
Churchill, R. C.; Kummer, Martin
4
1999
On monodromy groups of second-order Fuchsian equations. Zbl 0752.34002
Baider, A.; Churchill, R. C.
3
1990
Harmonic oscillators at low energies. Zbl 0561.70024
Churchill, Richard C.; Lee, David
3
1984
Irreducibility criteria for skew polynomials. Zbl 1234.16015
Churchill, Richard C.; Zhang, Yang
3
2009
Hyperbolic periodic orbits. Zbl 0313.34043
Rod, David L.; Pecelli, Giampiero; Churchill, Richard C.
3
1977
Addendum to “Hyperbolic periodic orbits”. Zbl 0358.34042
Rod, D. L.; Pecelli, G.; Churchill, R. C.
3
1978
Hyperbolic structures in Hamiltonian systems. Zbl 0369.58015
Churchill, R. C.; Pecelli, G.; Rod, D. L.
3
1977
On proving the nonintegrability of a Hamiltonian system. Zbl 0486.70021
Churchill, Richard C.
2
1982
Linear differential equations with symmetries. Zbl 0926.34001
Churchill, R. C.; Rod, D. L.; Sleeman, B. D.
2
1997
The spring-pendulum system and the Riemann equation. Zbl 0997.70015
Churchill, Richard C.; Delgado, Joaquin; Rod, David L.
2
1996
A note on isoenergetic stability. Zbl 0349.70014
Churchill, Richard; Jurenka, Henry; Thomas, Edward S. jun.
1
1977
Differential algebraic techniques in Hamiltonian dynamics. Zbl 1141.70309
Churchill, Richard C.
1
2002
On the Poincaré criterion for asymptotic stability. Zbl 0419.58011
Churchill, R. C.; Selgrade, J. F.
1
1979
A guide to the Hénon-Heiles Hamiltonian. Zbl 0563.70019
Rod, D. L.; Churchill, R. C.
1
1985
Normal forms in a cyclically graded Lie algebra. Zbl 1132.37020
Bendersky, Martin; Churchill, Richard C.
1
2006
Lax pairs in the Henon-Heiles and related families. Zbl 0838.58015
Churchill, R. C.; Falk, G. T.
1
1995
Pathology in dynamical systems. II: Applications. Zbl 0298.54022
Churchill, Richard C.; Rod, David L.
1
1975
Irreducibility criteria for skew polynomials. Zbl 1234.16015
Churchill, Richard C.; Zhang, Yang
3
2009
A spectral sequence approach to normal forms. Zbl 1112.55015
Bendersky, Martin; Churchill, Richard C.
4
2006
Normal forms in a cyclically graded Lie algebra. Zbl 1132.37020
Bendersky, Martin; Churchill, Richard C.
1
2006
Cyclic vectors. Zbl 1087.13512
Churchill, R. C.; Kovacic, Jerald J.
6
2002
Differential algebraic techniques in Hamiltonian dynamics. Zbl 1141.70309
Churchill, Richard C.
1
2002
Two generator subgroups of \(\text{SL}(2,\mathbf C)\) and the hypergeometric, Riemann, and Lamé equations. Zbl 0958.34074
Churchill, R. C.
8
1999
A unified approach to linear and nonlinear normal forms for Hamiltonian systems. Zbl 1126.37313
Churchill, R. C.; Kummer, Martin
4
1999
Linear differential equations with symmetries. Zbl 0926.34001
Churchill, R. C.; Rod, D. L.; Sleeman, B. D.
2
1997
On the infinitesimal geometry of integrable systems. Zbl 1005.37510
Baider, A.; Churchill, R. C.; Rod, D. L.; Singer, M. F.
27
1996
The spring-pendulum system and the Riemann equation. Zbl 0997.70015
Churchill, Richard C.; Delgado, Joaquin; Rod, David L.
2
1996
Group-theoretic obstructions to integrability. Zbl 0824.58021
Churchill, R. C.; Rod, D. L.; Singer, M. F.
9
1995
Lax pairs in the Henon-Heiles and related families. Zbl 0838.58015
Churchill, R. C.; Falk, G. T.
1
1995
On the determination of Ziglin monodromy groups. Zbl 0739.58018
Churchill, Richard C.; Rod, David L.
14
1991
Monodromy and nonintegrability in complex Hamiltonian systems. Zbl 0705.58016
Baider, Alberto; Churchill, Richard C.; Rod, David L.
8
1990
On a result of Bruns. Zbl 0657.58015
Kummer, Martin; Churchill, Richard C.; Rod, David L.
7
1990
On monodromy groups of second-order Fuchsian equations. Zbl 0752.34002
Baider, A.; Churchill, R. C.
3
1990
Unique normal forms for planar vector fields. Zbl 0691.58012
Baider, Alberto; Churchill, Richard
21
1988
Geometrical aspects of Ziglin’s non-integrability theorem for complex Hamiltonian systems. Zbl 0661.58013
Churchill, Richard C.; Rod, David L.
10
1988
Uniqueness and non-uniqueness of normal forms for vector fields. Zbl 0671.58010
Baider, Alberto; Churchill, Richard
9
1988
The Campbell-Hausdorff group and a polar decomposition of graded algebra automorphisms. Zbl 0599.17002
Baider, A.; Churchill, R. C.
8
1988
Homoclinic and heteroclinic orbits of reversible vectorfields under perturbation. Zbl 0605.58036
Churchill, Richard C.; Rod, David L.
6
1986
A guide to the Hénon-Heiles Hamiltonian. Zbl 0563.70019
Rod, D. L.; Churchill, R. C.
1
1985
Harmonic oscillators at low energies. Zbl 0561.70024
Churchill, Richard C.; Lee, David
3
1984
On averaging, reduction, and symmetry in Hamiltonian systems. Zbl 0476.70017
Churchill, Richard C.; Kummer, Martin; Rod, David L.
37
1983
On proving the nonintegrability of a Hamiltonian system. Zbl 0486.70021
Churchill, Richard C.
2
1982
Pathology in dynamical systems. III: Analytic Hamiltonians. Zbl 0421.58015
Churchill, Richard C.; Rod, David L.
17
1980
Stability transitions for periodic orbits in Hamiltonian systems. Zbl 0438.70021
Churchill, R. C.; Pecelli, G.; Rod, D. L.
11
1980
A survey of the Henon-Heiles Hamiltonian with applications to related examples. Zbl 0426.70020
Churchill, R. C.; Pecelli, G.; Rod, D. L.
16
1979
On the Poincaré criterion for asymptotic stability. Zbl 0419.58011
Churchill, R. C.; Selgrade, J. F.
1
1979
Addendum to “Hyperbolic periodic orbits”. Zbl 0358.34042
Rod, D. L.; Pecelli, G.; Churchill, R. C.
3
1978
A geometric criterion for hyperbolicity of flows. Zbl 0316.58015
Churchill, R. C.; Franke, John; Selgrade, James
7
1977
Coexistence of stable and random motion. Zbl 0369.58017
Churchill, R. C.; Pecelli, G.; Sacolick, S.; Rod, D. L.
6
1977
Hyperbolic periodic orbits. Zbl 0313.34043
Rod, David L.; Pecelli, Giampiero; Churchill, Richard C.
3
1977
Hyperbolic structures in Hamiltonian systems. Zbl 0369.58015
Churchill, R. C.; Pecelli, G.; Rod, D. L.
3
1977
A note on isoenergetic stability. Zbl 0349.70014
Churchill, Richard; Jurenka, Henry; Thomas, Edward S. jun.
1
1977
Pathology in dynamical systems. I: General theory. Zbl 0321.54020
Churchill, Richard C.; Rod, David L.
7
1976
Pathology in dynamical systems. II: Applications. Zbl 0321.54021
Churchill, Richard C.; Rod, David L.
7
1976
Isolated unstable periodic orbits. Zbl 0303.34023
Churchill, R. C.; Pecelli, G.; Rod, D. L.
19
1975
Pathology in dynamical systems. II: Applications. Zbl 0298.54022
Churchill, Richard C.; Rod, David L.
1
1975
Invariant sets which carry cohomology. Zbl 0257.54043
Churchill, Richard C.
7
1973
Isolated invariant sets in compact metric spaaces. Zbl 0238.54044
Churchill, Richard C.
37
1972
all top 5

Cited by 268 Authors

18 Churchill, Richard C.
15 Maciejewski, Andrzej J.
15 Rod, David L.
14 Przybylska, Maria
8 Li, Wenlei
8 Palacián, Jesús F.
8 Shi, Shaoyun
8 Yu, Pei
7 Baider, Alberto
6 Vidal, Claudio
5 Gazor, Majid
5 Sáenz, Albert W.
5 Selgrade, James F.
5 Yanguas, Patricia
5 Zotos, Euaggelos E.
4 Grotta Ragazzo, Clodoaldo
4 Holmes, Philip J.
4 Kurland, Henry L.
4 Llibre, Jaume
4 Pecelli, Giampiero
4 Salomão, Pedro Antonio Santoro
4 Vidarte, Jhon
3 Arai, Zin
3 Chen, Guanrong
3 Chicone, Carmen C.
3 Cushman, Richard H.
3 Duval, Guillaume
3 Huang, Kaiyin
3 Marsden, Jerrold Eldon
3 Montgomery, John Thomas
3 Morales-Ruiz, Juan José
3 Mrozek, Marian
3 Sánchez-Gabites, Jaime J.
3 Sanders, Jan A.
3 Simó, Carles
3 Srzednicki, Roman
3 Szumiński, Wojciech
3 Wang, Duo
3 Wójcik, Klaudiusz
3 Zhang, Xiang
2 Addas-Zanata, Salvador
2 Barkatou, Moulay A.
2 Butler, Leo T.
2 Casale, Guy
2 Chen, Guoting
2 Christov, Ognyan
2 Ferrer, Sebastián
2 Franke, John E.
2 Guo, Shangjiang
2 Ida, Cristian
2 Irigoyen, Maylis
2 Kahn, Peter B.
2 Lara, Martín
2 McGehee, Richard P.
2 Paşca, Daniel
2 Popescu, Paul P.
2 Pugh, Charles Chapman
2 Quadrat, Alban
2 Rybakowski, Krzysztof P.
2 San-Juan, Juan Félix
2 Sevryuk, Mikhail Borisovich
2 Strelcyn, Jean-Marie
2 Swanson, Richard C.
2 Valls Anglés, Cláudia
2 Verhulst, Ferdinand
2 Viartola, A.
2 Weil, Jacques-Arthur
2 Yoshida, Haruo
2 Zarmi, Yair
1 Aguirre, Jacobo
1 Almeida, Márcio A. C.
1 Alvarez-Ramírez, Martha
1 Antonishin, I. O.
1 Aparicio-Monforte, Ainhoa
1 Arioli, Gianni
1 Armstrong, Robert A.
1 Avendaño-Camacho, Misael
1 Banchoff, Thomas F.
1 Baranger, Michel
1 Barbanis, B.
1 Bates, Larry M.
1 Benci, Vieri
1 Bendersky, Martin
1 Bergen, Jeffrey
1 Bisshopp, Frederic
1 Bleher, Siegfried
1 Borondo, Florentino
1 Bridges, Thomas J.
1 Broer, Henk W.
1 Brown, Christian
1 Brown, Ray
1 Buffoni, Boris
1 Burns, Keith
1 Carlson, Lee A.
1 Carpenter, Gail A.
1 Carrasco-Olivera, Dante
1 Carrasco, Dante
1 Carrillo Torres, S. A.
1 Champneys, Alan R.
1 Chen, Teng
...and 168 more Authors
all top 5

Cited in 81 Serials

47 Journal of Differential Equations
21 Physica D
17 Journal of Mathematical Physics
10 Transactions of the American Mathematical Society
9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
8 Journal of Symbolic Computation
7 Physics Letters. A
7 Celestial Mechanics and Dynamical Astronomy
6 Communications in Mathematical Physics
6 Ergodic Theory and Dynamical Systems
6 Nonlinear Dynamics
5 Journal of Dynamics and Differential Equations
5 Chaos
4 Proceedings of the American Mathematical Society
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 Qualitative Theory of Dynamical Systems
3 Nonlinearity
3 Annales de l’Institut Fourier
3 Celestial Mechanics
3 Discrete and Continuous Dynamical Systems
3 SIAM Journal on Applied Dynamical Systems
3 Nonlinear Analysis. Theory, Methods & Applications
2 Archive for Rational Mechanics and Analysis
2 Journal of Mathematical Analysis and Applications
2 Reports on Mathematical Physics
2 Ukrainian Mathematical Journal
2 Chaos, Solitons and Fractals
2 Glasgow Mathematical Journal
2 Journal of Computational and Applied Mathematics
2 Meccanica
2 Results in Mathematics
2 Acta Applicandae Mathematicae
2 Journal of Nonlinear Science
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Regular and Chaotic Dynamics
2 Lobachevskii Journal of Mathematics
2 Journal of Nonlinear Mathematical Physics
1 International Journal of Modern Physics B
1 Astrophysics and Space Science
1 Classical and Quantum Gravity
1 Israel Journal of Mathematics
1 Mathematical Biosciences
1 Rocky Mountain Journal of Mathematics
1 Reviews in Mathematical Physics
1 Journal of Geometry and Physics
1 Advances in Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Applied Mathematics and Computation
1 Publications Mathématiques
1 Inventiones Mathematicae
1 Journal of Algebra
1 Journal für die Reine und Angewandte Mathematik
1 Journal of Soviet Mathematics
1 Manuscripta Mathematica
1 Mathematics and Computers in Simulation
1 Mathematische Zeitschrift
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Topology and its Applications
1 Advances in Applied Mathematics
1 Dynamics and Stability of Systems
1 Japan Journal of Industrial and Applied Mathematics
1 Linear Algebra and its Applications
1 Annales de l’Institut Henri Poincaré. Physique Théorique
1 Boletim da Sociedade Brasileira de Matemática. Nova Série
1 Bulletin des Sciences Mathématiques
1 Documenta Mathematica
1 Journal of Mathematical Chemistry
1 Abstract and Applied Analysis
1 Algebras and Representation Theory
1 Revista Matemática Complutense
1 Acta Mathematica Sinica. English Series
1 Communications in Nonlinear Science and Numerical Simulation
1 Foundations of Computational Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 International Journal of Geometric Methods in Modern Physics
1 Advances in Difference Equations
1 Discrete and Continuous Dynamical Systems. Series S
1 Asian-European Journal of Mathematics
1 Advances in Mathematical Physics
1 Symmetry

Citations by Year