Cover Image

On minimality of nonautonomous dynamical systems

The minimality of a nonautonomous dynamical system given by a compact Hausdorff space X and a sequence of continuous selfmaps of X is studied. A sufficient condition for nonminimality of such a system is formulated. A special attention is paid to the particular case when X is a real compact interv...

Full description

Saved in:

Bibliographic Details
Published in:	Нелінійні коливання
Date:	2004
Main Authors:	Kolyada, S.F., Snoha, Ľ., Trofimchuk, S.I.
Format:	Article
Language:	English
Published:	Інститут математики НАН України 2004
Online Access:	https://nasplib.isofts.kiev.ua/handle/123456789/176995
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:	On minimality of nonautonomous dynamical systems / S.F. Kolyada, Ľ. Snoha, S.I. Trofimchuk // Нелінійні коливання. — 2004. — Т. 7, № 1. — С. 86-92. — Бібліогр.: 16 назв. — англ.

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine

Similar Items

Estimation of solutions of nonautonomous systems
by: Puzyrev, V. E., et al.
Published: (1995)

Quasiperiodic Extremals of Nonautonomous Lagrangian Systems on Riemannian Manifolds
by: I. O. Parasiuk
Published: (2014)

Quasiperiodic Extremals of Nonautonomous Lagrangian Systems on Riemannian Manifolds
by: Parasyuk, I. O., et al.
Published: (2014)

Functional polystability of some nonautonomous quasilinear differential systems
by: Vitrychenko, I. E., et al.
Published: (1999)

On equicontinuous factors of linear extensions of minimal dynamical systems
by: Glavan, V. A., et al.
Published: (1993)

Practical semiglobal uniform exponential stability of nonlinear nonautonomous systems
by: Kicha, A., et al.
Published: (2023)

Practical semiglobal uniform exponential stability of nonlinear nonautonomous systems
by: A. Kicha, et al.
Published: (2023)

On the functional polystability of certain essentially nonlinear nonautonomous differential systems
by: Vitrychenko, I. E., et al.
Published: (2000)

Invariant relations for nonautonomous systems of differential equations with application in mechanics
by: A. M. Kovalev, et al.
Published: (2013)

Minimal dynamical system with given D-function and topological entropy
by: Ye Xiangdong
Published: (1993)

Minimal dynamical system with given $D$-function and topological entropy
by: Ye, Xiang dong, et al.
Published: (1993)

Method of additional functions in stability theory for nonautonomous systems of differential equations
by: A. M. Kovalev, et al.
Published: (2014)

On a special critical case of stability of a nonautonomous essentially nonlinear system
by: Vitrychenko, I. E., et al.
Published: (2005)

Infinitely many fast homoclinic solutions for some second-order nonautonomous systems
by: Yang, Liu, et al.
Published: (2014)

Infinitely Many Fast Homoclinic Solutions for Some Second-Order Nonautonomous Systems
by: Luo, Liping, et al.
Published: (2014)

Nontrivial periodic solutions of a nonautonomous system of second-order differential equations
by: Terekhin, M. T., et al.
Published: (1994)

On the construction of asymptotic approximations for a nonautonomous wave equation
by: Sokil, B. I., et al.
Published: (1995)

Asymptotic representations for the solutions of nonautonomous ordinary differential equations
by: V. M. Evtukhov, et al.
Published: (2019)

On oscillation of solutions of a nonautonomous quasilinear second-order equation
by: Vitrychenko, I. E., et al.
Published: (1994)

On the instability of one nonautonomous essentially nonlinear equation of thenth order
by: Vitrychenko, I. E., et al.
Published: (1999)

Formal Integrability for the Nonautonomous Case of the Inverse Problem of the Calculus of Variations
by: Constantinescu, O.
Published: (2012)

Global λ-Stability of One Nonautonomous Quasilinear Second-Order Equation
by: Vitrychenko, I. E., et al.
Published: (2002)

On stability of the trivial solution of a nonautonomous quasilinear system whose characteristic equation has multiple roots
by: Vitrychenko, I. E., et al.
Published: (1994)

Green-Samoilenko function and existence of integral sets of linear extensions of nonautonomous equations
by: Asrorov, F. A., et al.
Published: (1994)

Conditions for the existence of solutions of real nonautonomous systems of quasilinear differential equations vanishing at a singular point
by: Evtukhov, V. M., et al.
Published: (2010)

Asymptotic behavior of solutions of nonautonomous nth order ordinary differential equations
by: V. M. Evtukhov, et al.
Published: (2016)

Global Attractor for a Nonautonomous Inclusion with Discontinuous Right-Hand Side
by: Kapustyan, O. V., et al.
Published: (2003)

On the Unique Solvability of a Nonautonomous Functional Differential Equation of Neutral Type
by: Khusanov, D. Kh., et al.
Published: (2001)

Exponential stabilization with practical convergence of nonautonomous infinite-dimensional evolution equations
by: Damak, Hanen, et al.
Published: (2026)

Critical Cases of the π-Stability of a Nonautonomous Quasilinear Equation of the nth Order
by: Vitrychenko, I. E., et al.
Published: (2004)

Critical cases of stability of one nonautonomous essentially nonlinear equation of the nth order
by: Vitrychenko, I. E., et al.
Published: (1997)

Long-Time Behavior of Nonautonomous Fokker-Planck Equations and Cooling of Granular Gases
by: Lods, B., et al.
Published: (2005)

Asymptotic representations of the solutions of essentially nonlinear nonautonomous second-order differential equations
by: Evtukhov, V. M., et al.
Published: (2008)

Long-Time Behavior of Nonautonomous Fokker-Planck Equations and Cooling of Granular Gases
by: Lods, B., et al.
Published: (2005)

Asymptotic representations of solutions of nonautonomous ordinary differential equations: Asymptotic representations of solutions
by: Evtukhov, V. M., et al.
Published: (2019)

Construction of one-frequency solutions of boundary-value problems for a nonautonomous wave equation
by: Sokil, B. I., et al.
Published: (1994)

A New Method of the Logical Functions Minimization in the Polynomial Set-Theoretical Format. 3. Minimization of Function System
by: Rytsar, B.Ye.
Published: (2015)

A New Method of the Logikal Functions Minimization in the Polynomial Set-Theoretical Format. 3. Minimization of Function System
by: Ye. Rytsar
Published: (2015)

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)

Minimization of impact of bounded perturbations on nonlinear discrete systems
by: V. M. Kuntsevich
Published: (2018)