On the function of hamiltonian action for nonholonomic systems and its application to the investigation of stability
For nonholonomic systems, we introduce the notion of the function of Hamiltonian action, with the use of which we investigate the stability of nonholonomic systems in the case where the equilibrium state under consideration is a critical point of the corresponding Lagrangian (Whittaker system).
Saved in:
| Date: | 1999 |
|---|---|
| Main Authors: | Sosnitskii, S. P., Сосницький, С. П. |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1999
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4740 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
On instability of the equilibrium state of nonholonomic systems
by: Sosnitskii, S. P., et al.
Published: (1999)
by: Sosnitskii, S. P., et al.
Published: (1999)
On the gyroscopic stabilization of conservative systems
by: Sosnitskii, S. P., et al.
Published: (1996)
by: Sosnitskii, S. P., et al.
Published: (1996)
On the Stability of an Equilibrium State of Gyroscopic Coupled Systems
by: Sosnitskii, S. P., et al.
Published: (2003)
by: Sosnitskii, S. P., et al.
Published: (2003)
Integrability of Nonholonomic Heisenberg Type Systems
by: Grigoryev, Y. A., et al.
Published: (2016)
by: Grigoryev, Y. A., et al.
Published: (2016)
The Hojman Construction and Hamiltonization of Nonholonomic Systems
by: Bizyaev, I.A., et al.
Published: (2016)
by: Bizyaev, I.A., et al.
Published: (2016)
On Integrable Perturbations of Some Nonholonomic Systems
by: Tsiganov, A.V.
Published: (2015)
by: Tsiganov, A.V.
Published: (2015)
Geometry of Invariant Tori of Certain Integrable Systems with Symmetry and an Application to a Nonholonomic System
by: Fassò, F., et al.
Published: (2007)
by: Fassò, F., et al.
Published: (2007)
On the hill stability of motion in the three-body problem
by: Sosnitskii, S. P., et al.
Published: (2008)
by: Sosnitskii, S. P., et al.
Published: (2008)
On the Lagrange Stability of Motion in the Three-Body Problem
by: Sosnitskii, S. P., et al.
Published: (2005)
by: Sosnitskii, S. P., et al.
Published: (2005)
On one atypical scheme of application of the second Lyapunov method
by: Sosnitskii, S. P., et al.
Published: (2009)
by: Sosnitskii, S. P., et al.
Published: (2009)
A Geometric Characterization of Certain First Integrals for Nonholonomic Systems with Symmetries
by: Balseiro, P., et al.
Published: (2016)
by: Balseiro, P., et al.
Published: (2016)
A Discretization of the Nonholonomic Chaplygin Sphere Problem
by: Fedorov, Y.N.
Published: (2007)
by: Fedorov, Y.N.
Published: (2007)
The motion of a system of two bodies connected by a nonholonomic hinge
by: M. E. Lesina, et al.
Published: (2013)
by: M. E. Lesina, et al.
Published: (2013)
On instability of conservative systems with gyroscopic forces
by: Sosnitskii, S. P., et al.
Published: (1997)
by: Sosnitskii, S. P., et al.
Published: (1997)
Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant
by: Inoue, R., et al.
Published: (2007)
by: Inoue, R., et al.
Published: (2007)
Non-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fields
by: Ferreiro Pérez, R., et al.
Published: (2009)
by: Ferreiro Pérez, R., et al.
Published: (2009)
On the instability of lagrange solutions in the three-body problem
by: Sosnitskii, S. P., et al.
Published: (1996)
by: Sosnitskii, S. P., et al.
Published: (1996)
Stability of semi-markov evolution systems and its application in financial mathematics
by: Biirdeinyi, A. G., et al.
Published: (1996)
by: Biirdeinyi, A. G., et al.
Published: (1996)
Intermittency in Hamiltonian systems
by: Slipushenko, S.V., et al.
Published: (2007)
by: Slipushenko, S.V., et al.
Published: (2007)
Generating functional in classical Hamiltonian mechanics
by: Zazunov, L.G.
Published: (2001)
by: Zazunov, L.G.
Published: (2001)
Investigation of invariant deformations of integral manifolds of adiabatically perturbed completely integrable Hamiltonian systems. II
by: Prykarpatsky, Ya. A., et al.
Published: (1999)
by: Prykarpatsky, Ya. A., et al.
Published: (1999)
Investigation of invariant deformations of integral manifolds of adiabatically perturbed completely integrable hamiltonian systems. I
by: Prykarpatsky, Ya. A., et al.
Published: (1999)
by: Prykarpatsky, Ya. A., et al.
Published: (1999)
Determination of the probability of achieving the purpose of spatially distributed system functioning using its action indicator
by: O. I. Khazanovych, et al.
Published: (2022)
by: O. I. Khazanovych, et al.
Published: (2022)
Hamiltonian geometric connection associated with adiabatically perturbed Hamiltonian systems and the existence of adiabatic invariants
by: Prykarpatsky, Ya. A., et al.
Published: (2008)
by: Prykarpatsky, Ya. A., et al.
Published: (2008)
Kinetic Equations and Integrable Hamiltonian Systems
by: Belokolos, E. D., et al.
Published: (2005)
by: Belokolos, E. D., et al.
Published: (2005)
Hamiltonian Systems Inspired by the Schrödinger Equation
by: Kovalchuk, V., et al.
Published: (2008)
by: Kovalchuk, V., et al.
Published: (2008)
Real Forms of Holomorphic Hamiltonian Systems
by: Arathoon, Philip, et al.
Published: (2024)
by: Arathoon, Philip, et al.
Published: (2024)
Boundary gas evolution in a thin-film system under the action of proton irradiation and the possibility of its application
by: Ju. N. Borisenko, et al.
Published: (2010)
by: Ju. N. Borisenko, et al.
Published: (2010)
A new solution to the problem of motion of two spherically symmetric rigid bodies connected by a nonholonomic hinge
by: M. E. Lesina, et al.
Published: (2014)
by: M. E. Lesina, et al.
Published: (2014)
Criterion of Stability of Autonomic Linear Systems with Delay and Periodic Impulsive Action
by: I. L. Ivanov, et al.
Published: (2013)
by: I. L. Ivanov, et al.
Published: (2013)
Covert investigative (detective) actions: data verification
by: O. P. Vashchuk
Published: (2016)
by: O. P. Vashchuk
Published: (2016)
Interception of information from electronic information system as form of covert investigative investigative (search) actions
by: V. I. Hovorukha, et al.
Published: (2020)
by: V. I. Hovorukha, et al.
Published: (2020)
Classical relativistic system of N charges. Hamiltonian description, forms of dynamics, and partition function
by: Duviryak, A., et al.
Published: (2001)
by: Duviryak, A., et al.
Published: (2001)
Investigation of the stability of energy-dependent economics system model
by: O. Haiduchok
Published: (2014)
by: O. Haiduchok
Published: (2014)
Poisson Algebras and 3D Superintegrable Hamiltonian Systems
by: Fordy, A.P., et al.
Published: (2018)
by: Fordy, A.P., et al.
Published: (2018)
Using the method of structural functional analysis of the banking system as a tool to restore its financial stability
by: O. P. Zarutska
Published: (2016)
by: O. P. Zarutska
Published: (2016)
Subharmonics of a Nonconvex Noncoercive Hamiltonian System
by: Kallel, N., et al.
Published: (2003)
by: Kallel, N., et al.
Published: (2003)
On a hypothesis concerning Hamiltonians of canonical systems
by: Sakhnovich, L. A., et al.
Published: (1994)
by: Sakhnovich, L. A., et al.
Published: (1994)
Subharmonics of a Nonconvex Noncoercive Hamiltonian System
by: Kallel, N., et al.
Published: (2003)
by: Kallel, N., et al.
Published: (2003)
Effect of Structure of Forces on Stability of Gyroscopic Mechanical Systems under Impulse Action
by: S. I. Golinko, et al.
Published: (2016)
by: S. I. Golinko, et al.
Published: (2016)
Similar Items
-
On instability of the equilibrium state of nonholonomic systems
by: Sosnitskii, S. P., et al.
Published: (1999) -
On the gyroscopic stabilization of conservative systems
by: Sosnitskii, S. P., et al.
Published: (1996) -
On the Stability of an Equilibrium State of Gyroscopic Coupled Systems
by: Sosnitskii, S. P., et al.
Published: (2003) -
Integrability of Nonholonomic Heisenberg Type Systems
by: Grigoryev, Y. A., et al.
Published: (2016) -
The Hojman Construction and Hamiltonization of Nonholonomic Systems
by: Bizyaev, I.A., et al.
Published: (2016)