Author(s):
Banshchikov Andrei Valentinovich
PhD. , Associate Professor
Position: Senior Research Scientist
Office: Institute for System Dynamics and Control Theory of SB RAS
Address: 664033, Russia, Irkutsk, Lermontov str., 134
Phone Office: (3952) 45-30-56
E-mail: bav@icc.ru

Burlakova Larisa Aleksandrovna
PhD. , Associate Professor
Position: Senior Research Scientist
Office: Institute for System Dynamics and Control Theory of SB RAS
Address: 664033, Russia, Irkutsk, Lermontov str., 134
Phone Office: (3952) 42-78-80
E-mail: burlakova.larisa@gmail.com

Irtegov Valentin Dmitrievich
Dr. , Associate Professor
Position: Senior Research Scientist
Office: Institute for System Dynamics and Control Theory of SB RAS
Address: 664033, Russia, Irkutsk, Lermontov str., 134
Phone Office: (3952) 42-78-80
E-mail: irteg@icc.ru

Titorenko Tatiana Nikolaevna
PhD.
Position: Senior Research Scientist
Office: Institute for System Dynamics and Control Theory of SB RAS
Address: 664033, Russia, Irkutsk, Lermontov str., 134
Phone Office: (3952) 35-70-30
E-mail: titor@icc.ru

References:
[1] Banshchikov A.V., Burlakova L.A., Irtegov V.D., Titorenko T.N. The LinModel software package for analysis of dynamics of large-dimensional mechanical systems [Programmnyj kompleks LinModel dlya analiza dinamiki mekhanicheskikh sistem bol'shoi razmernosti]. Svidetel'stvo o gosudarstvennoj registracii programmy dlja JeVM №2008610622. FGU FIPS; 2008. (In Russ.)
[2] Banshchikov A.V., Burlakova L.A., Irtegov V.D., Titorenko T.N. A software package for finding and investigation of stability of stationary sets of mechanical systems [Programmnyj kompleks dlya vydeleniya i issledovaniya ustoichivosti statsionarnykh mnozhestv mekhanicheskikh system]. Svidetel'stvo o gosudarstvennoj registracii programmy dlja JeVM №2011612429. FGU FIPS; 2011. (In Russ.)
[3] Irtegov V.D., Titorenko T.N. On the use of electromechanical analogies [Ob ispol'zovanii elektromekhanicheskikh analogij]. Sistemy podderzhki prinjatija reshenij dlja issledovanija i upravlenija jenergetikoj. Novosibirsk: Nauka; 1997. 136–145. (In Russ.)
[4] Lur'e A.I. Analytical mechanics [Analiticheskaya mekhanika]. Moscow: FIZMATGIZ; 1961. 824. (In Russ.)
[5] Sinitskii L.A. Metody analiticheskoi mekhaniki v teorii elektricheskikh tsepej [Methods of analytical mechanics in the theory of electric circuits]. L'vov: Vishcha shkola; 1978. 139. (In Russ.)
[6] Brayton R.K., Moser J.K. A theory of nonlinear networks –1 . Quarterly of Applied Mathematics. 1964; 22(1): 1–33.
[7] Ljapunov A.M. The constant helical motions of a rigid body in a fluid [O postoyannykh vintovykh dvizheniyakh tverdogo tela v zhidkosti]. Moscow: Izd-vo AN SSSR; 1954. 1. 276–319. (In Russ.)
[8] Irtegov V.D. Invariant manifolds of steady motions and their stability [Invariantnye mnogoobraziya statsionarnykh dvizheniy i ikh ustoychivost' ].Novosibirsk: Nauka; 1985. 142. (In Russ.)
[9] Irtegov V.D., Titorenko T.N. The invariant manifolds of systems with first integrals . Journal of Applied Mathematics and Mechanics. 2009; 73(4): 379–384. (In Russ.)
[10] Chetaev N.G. Stability of motion [Ustoychivost' dvizheniya]. Collected works on analytical mechanics. Moscow: Izd-vo AN SSSR; 1962. 535. (In Russ.)
[11] Kats A.M. On the problem of the criterion of aperiodic stability [K voprosu o kriterii aperiodicheskoy ustoychivosti]. Prikladnaja matematika i mehanika. 1951; 15(1): 120. (In Russ.)
[12] Banshchikov A.V., Burlakova L.A. Algorithms of symbolic computation used in stability analysis [Ob algoritmakh simvol'nykh vychisleniy pri issledovanii ustoychivosti]. Programming and Computer Software. 1997; 23(3): 173–179. (In Russ.)
[13] Irtegov V.D., Titorenko T.N. One method of finding invariant manifolds of Lagrange’s systems [Ob odnom metode vydeleniya invariantnykh mnogoobraziy lagranzhevykh sistem ]. Sovremennye tehnologii. Sistemnyj analiz. Modelirovanie. 2012; 3 (25): 30–34. (In Russ.)
[14] Banshhikov A.V., Chajkin S.V. Modeling and stability analysis of a satellite with gyrodines via the LinModel software package [Modelirovanie i analiz ustoychivosti sputnika s girodinami s pomoshch'yu programmnogo kompleksa LinModel ]. Sovremennye tehnologii. Sistemnyj analiz. Modelirovanie. 2010; 4 (22): 37–45. (In Russ.)
[15] Chajkin S.V., Banshhikov A.V. On gyroscopic stabilization of the relative equilibriums of oblate axisymmetric gyrostat [O giroskopicheskoy stabilizatsii otnositel'nykh ravnovesiy orbital'nogo osesimmetrichnogo girostata]. Matematicheskoe modelirovanie. 2013; 25(5): 109–122. (In Russ.)
[16] Irtegov V.D., Titorenko T.N. Invariant manifolds in the Clebsch-Tisserand-Brun problem. Journal of Applied Mathematics and Mechanics. 2012; 76(3): 268–274.