Access the full text.
Sign up today, get DeepDyve free for 14 days.
B. Konopelchenko (1987)
Nonlinear Integrable Equations
A. Tsiganov (2008)
On bi-Hamiltonian geometry of the Lagrange topJournal of Physics A: Mathematical and Theoretical, 41
V. Kuznetsov, A. Tsiganov (1989)
A special case of Neumann's system and the Kowalewski-Chaplygin-Goryachev topJournal of Physics A, 22
Алексей Болсинов, A. Bolsinov, Алексей Борисов, A. Borisov (2002)
Согласованные скобки Пуассона на алгебрах Ли@@@Compatible Poisson Brackets on Lie Algebras, 72
A. Tsiganov (2010)
On the generalized Chaplygin systemJournal of Mathematical Sciences, 168
A. Tsiganov (2007)
On two different bi-Hamiltonian structures for the Toda latticeJournal of Physics A: Mathematical and Theoretical, 40
M. Beatty (2006)
Dynamics of a Rigid Body
O.I. Bogoyavlensky (1991)
Inverting Solitons. Nonlinear Integrable Equations
(2005)
A new partial solution of the problem of motion of a rigid body in a liquid , Trudy otdel
S.A. Chaplygin (1903)
A New Partial Solution of the Problem of Motion of a Rigid Body in a LiquidTrudy otdel. fiz. nauk obsh. liub. est., 11
G. Falqui, M. Pedroni (2002)
Separation of Variables for Bi-Hamiltonian SystemsMathematical Physics, Analysis and Geometry, 6
A. Tsiganov (2002)
On the Kowalevski-Goryachev-Chaplygin gyrostatJournal of Physics A: Mathematical and General, 35
A. Tsiganov (2007)
The Poisson bracket compatible with the classical reflection equation algebraRegular and Chaotic Dynamics, 13
(2005)
Mamaev, Rigid Body Dynamics. Hamiltonian Methods, Integrability
A.V. Tsiganov (2005)
Integrable Systems in the Separation of Variables Method
A.V. Borisov, I.S. Mamaev (2005)
Dynamics of a Rigid Body. Hamiltonian Methods, Integrability, Chaos
(2005)
Integrable systems in the separation of variables method, Moscow-Izhevsk
A. Tsiganov (2010)
New variables of separation for particular case of the Kowalevski topRegular and Chaotic Dynamics, 15
A. Vershilov, A. Tsiganov (2008)
On bi-Hamiltonian geometry of some integrable systems on the sphere with cubic integral of motionJournal of Physics A: Mathematical and Theoretical, 42
(1991)
Bogoyavlensky, Inverting Solitons
A. Tsiganov (2006)
A family of the Poisson brackets compatible with the Sklyanin bracketJournal of Physics A: Mathematical and Theoretical, 40
F. Magri, P. Casati, G. Falqui, M. Pedroni (1997)
Eight lectures on integrable systems, 495
A. Tsiganov (2007)
Separation of variables for a pair of integrable systems on so*(4)Doklady Mathematics, 76
A. Bolsinov, A. Borisov (2002)
Compatible Poisson Brackets on Lie AlgebrasMathematical Notes, 72
Y. Kosmann-Schwarzbach, B. Grammaticos, K. Tamizhmani (1997)
Integrability of Nonlinear Systems, 495
A. Tsiganov (2007)
On bi-hamiltonian structure of some integrable systems on so ∗ (4)Journal of Nonlinear Mathematical Physics, 15
We discuss bi-Hamiltonian structure for the Bogoyavlensky system on so(4) with an additional integral of fourth order in momenta. An explicit procedure to find the variables of separation and the separation relations is considered in detail.
Regular and Chaotic Dynamics – Springer Journals
Published: Dec 22, 2010
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.