On some problems in perturbation theory of smooth invariant tori of dynamical systems
Problems related to perturbation theory of smooth invariant tori of dynamical systems in a n-dimensional Euclidean spaceR n are considered. The clarification of these problems plays an important role for perturbation theory suggested by the author in [1] and extends the scope of its application.
Saved in:
| Date: | 1994 |
|---|---|
| Main Authors: | Samoilenko, A. M., Самойленко, А. М. |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1994
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5577 |
| 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 Invariant Tori of Itô Stochastic Systems
by: Samoilenko, A. M., et al.
Published: (2002)
by: Samoilenko, A. M., et al.
Published: (2002)
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)
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)
Invariant tori of differential equations in a Banach space
by: Ilolov, M., et al.
Published: (1998)
by: Ilolov, M., et al.
Published: (1998)
Lipschitzian invariant tori of indefinite monotone system
by: Lagoda, V. A., et al.
Published: (2012)
by: Lagoda, V. A., et al.
Published: (2012)
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)
Some results of the local theory of smooth functions
by: Samoilenko, A. M., et al.
Published: (2007)
by: Samoilenko, A. M., et al.
Published: (2007)
On the smoothness of the Green function for the problem of bounded invariant manifolds
by: Burilko, O. A., et al.
Published: (1998)
by: Burilko, O. A., et al.
Published: (1998)
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 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)
Some problems of the linear theory of systems of ordinary differential equations
by: Samoilenko, A. M., et al.
Published: (2011)
by: Samoilenko, A. M., et al.
Published: (2011)
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)
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)
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)
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)
by: Kubichka, A. A., et al.
Published: (2001)
Investigation of a discrete dynamical system in a neighborhood of the invariant torus
by: Samoilenko, M. V., et al.
Published: (1995)
by: Samoilenko, M. V., et al.
Published: (1995)
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)
Discrete dynamical systems with invariant asymptotically stable toroidal manifold
by: Samoilenko, A. M., et al.
Published: (1999)
by: Samoilenko, A. M., et al.
Published: (1999)
On Some Properties of the Behavior of Linear Extensions of Dynamical Systems on a Torus under Perturbation of Phase Variables
by: Samoilenko, A. M., et al.
Published: (2002)
by: Samoilenko, A. M., et al.
Published: (2002)
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)
On the smoothness of bounded invariant manifolds of linear inhomogeneous extensions of dynamical systems
by: Hrod, I. M., et al.
Published: (1996)
by: Hrod, I. M., 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)
by: Fassò, F., et al.
Published: (2007)
Separation of variables in linear extensions of dynamical systems on tori
by: Burilko, O. A., et al.
Published: (1996)
by: Burilko, O. A., et al.
Published: (1996)
Investigation of a dynamical system in a neighborhood of an invariant toroidal manifold in the general case
by: Bazhura, B. P., et al.
Published: (1994)
by: Bazhura, B. P., et al.
Published: (1994)
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)
On invariance of some properties of solutions under perturbation of a pulse system of differential equations
by: Perestyuk, N. A., et al.
Published: (1994)
by: Perestyuk, N. A., et al.
Published: (1994)
On the reducibility of a system of ordinary differential equations in the vicinity of a smooth integral manifold
by: Samoilenko, A. M., et al.
Published: (1966)
by: Samoilenko, A. M., et al.
Published: (1966)
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)
Some applications of the comparison principle in the theory of perturbed systems
by: Voskresenskii, E. V., et al.
Published: (1994)
by: Voskresenskii, E. V., et al.
Published: (1994)
Categorical Tori
by: Ganter, N.
Published: (2018)
by: Ganter, N.
Published: (2018)
Some problems of the linear theory of systems of ordinary differential equations
by: Samoilenko, A.M.
Published: (2011)
by: Samoilenko, A.M.
Published: (2011)
Singular integral equation equivalent in the space of smooth functions
to an ordinary differential equation, method of successive approximations
for the construction of its smooth solutions and its nonsmooth solutions
by: Samoilenko, A. M., et al.
Published: (2019)
by: Samoilenko, A. M., et al.
Published: (2019)
Asymptotic solutions of the Cauchy problem for the singularly perturbed Korteweg-de Vries equation with variable coefficients
by: Samoilenko, V. G., et al.
Published: (2007)
by: Samoilenko, V. G., et al.
Published: (2007)
On the Problem of Disturbance of Stable Invariant Tore of the Dynamic System
by: Golets, V. L., et al.
Published: (1970)
by: Golets, V. L., et al.
Published: (1970)
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)
Lyapunov–Schmidt Approach to Studying Homoclinic Splitting in Weakly Perturbed Lagrangian and Hamiltonian Systems
by: Prykarpatsky, A. K., et al.
Published: (2003)
by: Prykarpatsky, A. K., et al.
Published: (2003)
Singularly Perturbed Equations with Impulse Action
by: Kaplun, Yu. I., et al.
Published: (2002)
by: Kaplun, Yu. I., et al.
Published: (2002)
Similar Items
-
On Invariant Tori of Itô Stochastic Systems
by: Samoilenko, A. M., et al.
Published: (2002) -
On invariant tori of countable systems of differential equations with delay
by: Elnazarov, A. A., et al.
Published: (1999) -
Perturbations of degenerate coisotropic invariant tori of Hamiltonian systems
by: Parasyuk, I. O., et al.
Published: (1998) -
Invariant tori of differential equations in a Banach space
by: Ilolov, M., et al.
Published: (1998) -
Lipschitzian invariant tori of indefinite monotone system
by: Lagoda, V. A., et al.
Published: (2012)