Invariant tori of locally Hamiltonian systems close to conditionally integrable systems

We study the problem of perturbations of quasiperiodic motions in the class of locally Hamiltonian systems. By using methods of the KAM-theory, we prove a theorem on the existence of invariant tori of locally Hamiltonian systems close to conditionally integrable systems. On the basis of this theorem...

Full description

Saved in:

Bibliographic Details
Date:	2007
Main Authors:	Loveikin, Yu. V., Parasyuk, I. O., Ловейкін, Ю. В., Парасюк, І. О.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2007
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3292
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Perturbations of degenerate coisotropic invariant tori of Hamiltonian systems
by: Parasyuk, I. O., et al.
Published: (1998)

Reduction and coisotropic invariant tori of Hamiltonian systems with non-poisson commutative symmetries. I
by: Parasyuk, I. O., et al.
Published: (1994)

Reduction and coisotropic invariant tori of Hamiltonian systems with non-poisson commutative symmetries. II
by: Parasyuk, I. O., et al.
Published: (1994)

Lipschitzian invariant tori of indefinite monotone system
by: Lagoda, V. A., et al.
Published: (2012)

Bifurcation of a Whitney-Smooth Family of Coisotropic Invariant Tori of a Hamiltonian System under Small Deformations of a Symplectic Structure
by: Kubichka, A. A., et al.
Published: (2001)

On Invariant Tori of Itô Stochastic Systems
by: Samoilenko, A. M., et al.
Published: (2002)

On the invariant tori of quasilinear countable systems of differential equations defined on infinite-dimensional tori
by: Yu. V. Teplinskyi
Published: (2020)

On invariant tori of stochastic systems on a plane
by: Kopas', I. N., et al.
Published: (1996)

Geometry of Invariant Tori of Certain Integrable Systems with Symmetry and an Application to a Nonholonomic System
by: Fassò, F., et al.
Published: (2007)

Nilpotent flows of S1-invariant Hamiltonian systems on 4-dimensional symplectic manifolds
by: Parasyuk, I. O., et al.
Published: (1997)

On the Fréchet Differentiability of Invariant Tori of Countable Systems of Difference Equations Defined on Infinite-Dimensional Tori
by: Marchuk, N. A., et al.
Published: (2003)

On invariant tori of countable systems of differential equations with delay
by: Elnazarov, A. A., et al.
Published: (1999)

On some problems in perturbation theory of smooth invariant tori of dynamical systems
by: Samoilenko, A. M., et al.
Published: (1994)

Investigation of invariant deformations of integral manifolds of adiabatically perturbed completely integrable Hamiltonian systems. II
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)

Invariant tori of linear countable systems of discrete equations given on an infinite-dimensional torus
by: Samoilenko, A. M., et al.
Published: (1998)

Quasiinvariant deformations of invariant submanifolds of Hamiltonian dynamical systems
by: Samoilenko, V. G., et al.
Published: (1994)

Hamiltonian geometric connection associated with adiabatically perturbed Hamiltonian systems and the existence of adiabatic invariants
by: Prykarpatsky, Ya. A., et al.
Published: (2008)

Variables of the action-angle type on symplectic manifolds stratified by coisotropic tori
by: Parasyuk, I. O., et al.
Published: (1993)

Global solutions and invariant tori of difference-differential equations
by: Belan, E. P., et al.
Published: (1997)

Invariant tori of differential equations in a Banach space
by: Ilolov, M., et al.
Published: (1998)

Hyperbolic invariant tori of a fast-slow system exhibiting the dynamical bifurcation of multifrequency oscillations
by: I. O. Parasiuk, et al.
Published: (2016)

Kinetic Equations and Integrable Hamiltonian Systems
by: Belokolos, E. D., et al.
Published: (2005)

Estimation of the number of ultrasubharmonics for a two-dimensional almost autonomous Hamiltonian system periodic in time
by: Vakal, Yu. E., et al.
Published: (2012)

Geometric Realizations of Bi-Hamiltonian Completely Integrable Systems
by: Beffa, G.M.
Published: (2008)

Invariant tori of linear extensions which do not have Green's functions
by: Pyatetskaya, E. V., et al.
Published: (1993)

Separation of variables in linear extensions of dynamical systems on tori
by: Burilko, O. A., et al.
Published: (1996)

Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant
by: Inoue, R., et al.
Published: (2007)

Completely Integrable Contact Hamiltonian Systems and Toric Contact Structures on S²×S³
by: Boyer, C.P.
Published: (2011)

The discrete Schredinger type hierarchies of nonlinear dynamical system and their by-Hamiltonian integrability
by: A. K. Prykarpatski, et al.
Published: (2013)

Intermittency in Hamiltonian systems
by: Slipushenko, S.V., et al.
Published: (2007)

Categorical Tori
by: Ganter, N.
Published: (2018)

The Reduction Method in the Theory of Lie-Algebraically Integrable Oscillatory Hamiltonian Systems
by: Prykarpatsky, A.K., et al.
Published: (2003)

The Reduction Method in the Theory of Lie-Algebraically Integrable Oscillatory Hamiltonian Systems
by: Prykarpatsky, A. K., et al.
Published: (2003)

Compatibly bi-Hamiltonian superconformal analogs of Lax-integrable nonlinear dynamical systems
by: Hentosh, О. Ye., et al.
Published: (2006)

Symbol calculations the approximate integrals of motion for Hamiltonian systems with N degrees of freedom
by: Bogachev, V.E., et al.
Published: (2012)

Zamolodchikov Tetrahedral Equation and Higher Hamiltonians of 2d Quantum Integrable Systems
by: Talalaev, D.V.
Published: (2017)

Extending properties of \(z\)-closed projection invariant submodules
by: Yücel, Canan Celep, et al.
Published: (2025)

Symplectic method for the construction of ergodic measures on invariant submanifolds of nonautonomous hamiltonian systems: Lagrangian manifolds, their structure, and mather homologies
by: Prykarpatsky, Ya. A., et al.
Published: (2006)

Hamiltonian Systems Inspired by the Schrödinger Equation
by: Kovalchuk, V., et al.
Published: (2008)