Richard Churchill

Adjunct Professor

Publications

Book

Churchill, Richard, Rod, David L. and Sleeman, B. D.. Linear differential equations with symmetries 370. Longman, 1997. 108-129. Print.
Churchill, Richard, Delgado, Joaquin and Rod, David L.. The spring-pendulum system and the {R}iemann equation 8. World Sci. Publishing, 1996. 97-103. Print.
Baider, A., Churchill, Richard, Rod, David L. and Singer, M. F.. On the infinitesimal geometry of integrable systems 7. Amer. Math. Soc., 1996. 5-56. Print.
Rod, David L. and Churchill, Richard. Between integrability and chaos 332. Plenum, 1994. 103-105. Print.
Rod, David L. and Churchill, Richard. On the applicability of {Z}iglin's nonintegrability theorem World Sci. Publishing, 1988. 94-109. Print.
Rod, David L. and Churchill, Richard. A guide to the {H}\'enon-{H}eiles {H}amiltonian 103. North-Holland, 1985. 385-395. Print.
Churchill, Richard, Pecelli, G. and Rod, David L.. A survey of the {H}\'enon-{H}eiles {H}amiltonian with applications to related examples 93. Springer, 1979. 76-136. Print.

Journal Article

Churchill, Richard, Rod, David L. and Singer, M. F.. "Group-theoretic obstructions to integrability". Ergodic Theory and Dynamical Systems 15.1 (1995): 15-48. Print.
Churchill, Richard and Rod, David L.. "On the determination of {Z}iglin monodromy groups". SIAM Journal on Mathematical Analysis 22.6 (1991): 1790-1802. Print.
Kummer, Martin, Churchill, Richard and Rod, David L.. "On a result of {B}runs". Canadian Mathematical Bulletin. Bulletin Canadien de Math\'ematiques 33.2 (1990): 175-180. Print.
Baider, Alberto, Churchill, Richard and Rod, David L.. "Monodromy and nonintegrability in complex {H}amiltonian systems". Journal of Dynamics and Differential Equations 2.4 (1990): 451-481. Print.
Churchill, Richard and Rod, David L.. "Geometrical aspects of {Z}iglin's nonintegrability theorem for complex {H}amiltonian systems". J. Differential Equations 76.1 (1988): 91-114. Print.
Churchill, Richard and Rod, David L.. "Homoclinic and heteroclinic orbits of reversible vectorfields under perturbation". Proceedings of the Royal Society of Edinburgh. Section A. Mathematical and Physical Sciences 102.3-4 (1986): 345-363. Print.
Churchill, Richard, Kummer, Martin and Rod, David L.. "On averaging, reduction, and symmetry in {H}amiltonian systems". J. Differential Equations 49.3 (1983): 359-414. Print.
Churchill, Richard and Rod, David L.. "Pathology in dynamical systems. {III}. {A}nalytic {H}amiltonians". J. Differential Equations 37.1 (1980): 23-38. Print.
Churchill, Richard, Pecelli, G. and Rod, David L.. "Stability transitions for periodic orbits in {H}amiltonian systems". Archive for Rational Mechanics and Analysis 73.4 (1980): 313-347. Print.
Rod, David L., Pecelli, G. and Churchill, Richard. "Addendum to: ``{H}yperbolic periodic orbits'' ({J}. {D}ifferential {E}quations {\bf 24} (1977), no. 3, 329-348)". J. Differential Equations 28.1 (1978): 163-165. Print.
Churchill, Richard, Pecelli, G., Sacolick, S. and Rod, David L.. "Coexistence of stable and random motion". The Rocky Mountain Journal of Mathematics 7.3 (1977): 445-456. Print.
Churchill, Richard, Pecelli, G. and Rod, David L.. "Hyperbolic structures in {H}amiltonian systems". The Rocky Mountain Journal of Mathematics 7.3 (1977): 439-444. Print.
Rod, David L., Pecelli, G. and Churchill, Richard. "Hyperbolic periodic orbits". J. Differential Equations 24.3 (1977): 329-348. Print.
Churchill, Richard and Rod, David L.. "Pathology in dynamical systems. {II}. {A}pplications". J. Differential Equations 21.1 (1976): 66-112. Print.
Churchill, Richard and Rod, David L.. "Pathology in dynamical systems. {I}. {G}eneral theory". J. Differential Equations 21.1 (1976): 39-65. Print.
Churchill, Richard, Pecelli, G. and Rod, David L.. "Isolated unstable periodic orbits". J. Differential Equations 17. (1975): 329-348. Print.