Persons: Cushman, Richard

Persons

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Cushman, Richard

Senior Researcher

Doctor of physico-mathematical sciences (1970)

Speciality:

01.01.00 (Mathematics)

E-mail:

Keywords:

integrable systems, monodromy, quantum monodromy.

Subject:

Integrable Hamiltonian systems, nonholonomically constrained systems.

Main publications:

R.H. Cushman and L.M. Bates, Global aspects of classical integrable systems, Birkhäuser, Basel, 1997
R. Cushman, “Adjoint orbits in the odd symplectic group”, Regular and Chaotic Dynamics, 12:6 (2007), 746–755
H.W. Broer, R. Cushman, F. Fasso, F. Takens, “Geometry of KAM tori for nearly integrable Hamiltonian systems”, Ergodic Theory and Dynamical Systems, 27:3 (2007), 725–741
R. Cushman and W. van der Kallen, “Adjoint and coadjoint orbits of the Poincaré group”, Acta Appl. Math., 90:1-2 (2006), 65–89
K. Efstathiou, R. Cushman, D.A. Sadovskii, “Fractional monodromy in the 1:(-2) resonance”, Advances in Mathematics, 209:1 (2007), 241–273

	Publications in Math-Net.Ru	Citations
	2016
1.	Larry Bates, Richard Cushman, “A Generalization of Nekhoroshev’s Theorem”, Regul. Chaotic Dyn., 21:6 (2016), 639–642
	2011
2.	Richard Cushman, Larry Bates, “Applications of the odd symplectic group in Hamiltonian systems”, Regul. Chaotic Dyn., 16:1-2 (2011), 2–16	1
	2006
3.	R. Cushman, J. Duistermaat, “Nearly flat falling motions of the rolling disk”, Regul. Chaotic Dyn., 11:1 (2006), 31–60	7

	2007
4.	R. Cushman, “Adjoint Orbits of the Odd Real Symplectic Group”, Regul. Chaotic Dyn., 12:6 (2007), 746–755	3
5.	R.H. Cushman, H. R. Dullin, H.Hanßmann, S. Schmid, “The $1 : \pm 2$ Resonance”, Regul. Chaotic Dyn., 12:6 (2007), 642–663	15
6.	R. Cushman, J. Śniatycki, “Non-Holonomic Reduction of Symmetries, Constraints, and Integrability”, Regul. Chaotic Dyn., 12:6 (2007), 615–621
	2002
7.	R. Cushman, J. Śniatycki, “Nonholonomic Reduction for Free and Proper Actions”, Regul. Chaotic Dyn., 7:1 (2002), 61–72	8

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