Bifurcation of a Whitney-Smooth Family of Coisotropic Invariant Tori of a Hamiltonian System under Small Deformations of a Symplectic Structure
We investigate the influence of small deformations of a symplectic structure and perturbations of the Hamiltonian on the behavior of a completely integrable Hamiltonian system. We show that a Whitney-smooth family of coisotropic invariant tori of the perturbed system emerges in the neighborhood of a...
Saved in:
| Date: | 2001 |
|---|---|
| Main Authors: | Kubichka, A. A., Parasyuk, I. O., Кубічка, А. А., Парасюк, І. О. |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2001
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4284 |
| 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
Perturbations of degenerate coisotropic invariant tori of Hamiltonian systems
by: Parasyuk, I. O., et al.
Published: (1998)
by: Parasyuk, I. O., et al.
Published: (1998)
Variables of the action-angle type on symplectic manifolds stratified by coisotropic tori
by: Parasyuk, I. O., et al.
Published: (1993)
by: Parasyuk, I. O., et al.
Published: (1993)
Reduction and coisotropic invariant tori of Hamiltonian systems with non-poisson commutative symmetries. I
by: Parasyuk, I. O., et al.
Published: (1994)
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)
by: Parasyuk, I. O., et al.
Published: (1994)
Invariant tori of locally Hamiltonian systems close to conditionally integrable systems
by: Loveikin, Yu. V., et al.
Published: (2007)
by: Loveikin, Yu. V., et al.
Published: (2007)
Nilpotent flows of S1-invariant Hamiltonian systems on 4-dimensional symplectic manifolds
by: Parasyuk, I. O., et al.
Published: (1997)
by: Parasyuk, I. O., et al.
Published: (1997)
Hyperbolic invariant tori of a fast-slow system exhibiting the dynamical bifurcation of multifrequency oscillations
by: I. O. Parasiuk, et al.
Published: (2016)
by: I. O. Parasiuk, et al.
Published: (2016)
Lipschitzian invariant tori of indefinite monotone system
by: Lagoda, V. A., et al.
Published: (2012)
by: Lagoda, V. A., et al.
Published: (2012)
On invariant tori of stochastic systems on a plane
by: Kopas', I. N., et al.
Published: (1996)
by: Kopas', I. N., et al.
Published: (1996)
On some problems in perturbation theory of smooth invariant tori of dynamical systems
by: Samoilenko, A. M., et al.
Published: (1994)
by: Samoilenko, A. M., et al.
Published: (1994)
Invariant tori of differential equations in a Banach space
by: Ilolov, M., et al.
Published: (1998)
by: Ilolov, M., et al.
Published: (1998)
On Invariant Tori of Itô Stochastic Systems
by: Samoilenko, A. M., et al.
Published: (2002)
by: Samoilenko, A. M., et al.
Published: (2002)
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)
by: Prykarpatsky, Ya. A., et al.
Published: (2006)
Interpolation Whitney constants
by: Kryakin, Yu. V., et al.
Published: (1995)
by: Kryakin, Yu. V., et al.
Published: (1995)
On the invariant tori of quasilinear countable systems of differential equations defined on infinite-dimensional tori
by: Yu. V. Teplinskyi
Published: (2020)
by: Yu. V. Teplinskyi
Published: (2020)
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)
by: Marchuk, N. A., et al.
Published: (2003)
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)
Whitney’s jets for Sobolev functions
by: Bojarski, B.
Published: (2007)
by: Bojarski, B.
Published: (2007)
Whitney’s jets for Sobolev functions
by: Bojarski, B., et al.
Published: (2007)
by: Bojarski, B., et al.
Published: (2007)
On invariant tori of countable systems of differential equations with delay
by: Elnazarov, A. A., et al.
Published: (1999)
by: Elnazarov, A. A., et al.
Published: (1999)
Global solutions and invariant tori of difference-differential equations
by: Belan, E. P., et al.
Published: (1997)
by: Belan, E. P., et al.
Published: (1997)
Dynamical Bifurcation of Multifrequency Oscillations in a Fast-Slow System
by: Parasyuk, I. O., et al.
Published: (2015)
by: Parasyuk, I. O., et al.
Published: (2015)
On the Sendov problem on the Whitney interpolation constant
by: Danilenko, I. G., et al.
Published: (1998)
by: Danilenko, I. G., et al.
Published: (1998)
Invariant tori of linear extensions which do not have Green's functions
by: Pyatetskaya, E. V., et al.
Published: (1993)
by: Pyatetskaya, E. V., et al.
Published: (1993)
On the Smoothness of the Invariant Torus of a Countable System of Difference Equations with Parameters
by: Marchuk, N. A., et al.
Published: (2001)
by: Marchuk, N. A., et al.
Published: (2001)
On a representation of smooth invariants of Coxeter groups in terms of anisotropic spaces
by: Gokhman, A. O., et al.
Published: (1997)
by: Gokhman, A. O., et al.
Published: (1997)
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)
by: Vakal, Yu. E., et al.
Published: (2012)
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)
Invariant tori of linear countable systems of discrete equations given on an infinite-dimensional torus
by: Samoilenko, A. M., et al.
Published: (1998)
by: Samoilenko, A. M., et al.
Published: (1998)
Categorical Tori
by: Ganter, N.
Published: (2018)
by: Ganter, N.
Published: (2018)
Quasiinvariant deformations of invariant submanifolds of Hamiltonian dynamical systems
by: Samoilenko, V. G., et al.
Published: (1994)
by: Samoilenko, V. G., et al.
Published: (1994)
Deformations of Pre-Symplectic Structures: a Dirac Geometry Approach
by: Schätz, F., et al.
Published: (2018)
by: Schätz, F., et al.
Published: (2018)
New 2D integrable families with a quartic second invariant
by: Yehia, H.M.
Published: (2011)
by: Yehia, H.M.
Published: (2011)
Whitney Interpolation Constants Bounded by 2 for k = 5, 6, 7
by: Zhelnov, O. D., et al.
Published: (2003)
by: Zhelnov, O. D., et al.
Published: (2003)
Symplectic Frieze Patterns
by: Morier-Genoud, S.
Published: (2019)
by: Morier-Genoud, S.
Published: (2019)
A Riemann-Hilbert Approach to Skew-Orthogonal Polynomials of Symplectic Type
by: Little, Alex
Published: (2024)
by: Little, Alex
Published: (2024)
On a 'Mysterious' Case of a Quadratic Hamiltonian
by: Sakovich, S.
Published: (2006)
by: Sakovich, S.
Published: (2006)
On Stability and Bifurcations in a Model of Earth Magnetic Field
by: A. A. Martynjuk, et al.
Published: (2014)
by: A. A. Martynjuk, et al.
Published: (2014)
On some linear groups, having a big family of G-invariant subspaces
by: L. A. Kurdachenko, et al.
Published: (2013)
by: L. A. Kurdachenko, et al.
Published: (2013)
On some linear groups, having a big family of G-invariant subspaces
by: Kurdachenko, L.A., et al.
Published: (2013)
by: Kurdachenko, L.A., et al.
Published: (2013)
Similar Items
-
Perturbations of degenerate coisotropic invariant tori of Hamiltonian systems
by: Parasyuk, I. O., et al.
Published: (1998) -
Variables of the action-angle type on symplectic manifolds stratified by coisotropic tori
by: Parasyuk, I. O., et al.
Published: (1993) -
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) -
Invariant tori of locally Hamiltonian systems close to conditionally integrable systems
by: Loveikin, Yu. V., et al.
Published: (2007)