Existence of Green-Samoilenko Functions of Some Linear Extensions of Dynamical Systems

H. M. Kulyk; V. L. Kulyk

doi:10.1007/s11072-005-0025-7

Existence of Green-Samoilenko Functions of Some Linear Extensions of Dynamical Systems

Nonlinear Oscillations ◽

10.1007/s11072-005-0025-7 ◽

2004 ◽

Vol 7 (4) ◽

pp. 454-460

Author(s):

H. M. Kulyk ◽

V. L. Kulyk

Keyword(s):

Dynamical Systems ◽

Linear Extensions

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Regular method of construction of the reversible dynamical systems and their linear extensions—Quanputers

Physics of Atomic Nuclei ◽

10.1134/s1063778811060214 ◽

2011 ◽

Vol 74 (7) ◽

pp. 1040-1045 ◽

Cited By ~ 3

Author(s):

N. V. Makhaldiani

Keyword(s):

Dynamical Systems ◽

Linear Extensions ◽

Regular Method

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Green's function, continual weighted composition operators along trajectories, and hyperbolicity of linear extensions for dynamical systems

Journal of Dynamics and Differential Equations ◽

10.1007/bf02219185 ◽

1994 ◽

Vol 6 (1) ◽

pp. 1-21 ◽

Cited By ~ 3

Author(s):

Yuri Latushkin

Keyword(s):

Dynamical Systems ◽

Green’S Function ◽

Green's Function ◽

Composition Operators ◽

Weighted Composition Operators ◽

Linear Extensions ◽

Weighted Composition

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Existence of Lyapunov functions of variable sign for linear extensions of dynamical systems on a torus

Ukrainian Mathematical Journal ◽

10.1007/bf01060829 ◽

1990 ◽

Vol 42 (12) ◽

pp. 1548-1552

Author(s):

V. L. Kulik

Keyword(s):

Dynamical Systems ◽

Lyapunov Functions ◽

Linear Extensions ◽

Variable Sign

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LINEAR EXTENSIONS OF DYNAMICAL SYSTEMS

Smooth Invariant Manifolds and Normal Forms - World Scientific Series on Nonlinear Science Series A ◽

10.1142/9789812798749_0003 ◽

1994 ◽

pp. 193-260

Keyword(s):

Dynamical Systems ◽

Linear Extensions

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Splittability of Linear Extensions of Dynamical Systems on a Torus

Dichotomies and Stability in Nonautonomous Linear Systems ◽

10.1201/9781482264890-10 ◽

2002 ◽

pp. 273-326

Keyword(s):

Dynamical Systems ◽

Linear Extensions

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Relationship Between the Green and Lyapunov Functions in Linear Extensions of Dynamical Systems

Ukrainian Mathematical Journal ◽

10.1007/s11253-014-0958-z ◽

2014 ◽

Vol 66 (4) ◽

pp. 617-624 ◽

Cited By ~ 1

Author(s):

I. M. Hrod ◽

V. L. Kulyk

Keyword(s):

Dynamical Systems ◽

Lyapunov Functions ◽

Linear Extensions

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Separation of variables in linear extensions of dynamical systems on tori

Ukrainian Mathematical Journal ◽

10.1007/bf02390992 ◽

1996 ◽

Vol 48 (1) ◽

pp. 146-150

Author(s):

O. A. Burylko

Keyword(s):

Dynamical Systems ◽

Separation Of Variables ◽

Linear Extensions

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On some classes of regular linear extensions of dynamical systems on a torus

Ukrainian Mathematical Journal ◽

10.1007/bf01058882 ◽

1994 ◽

Vol 46 (11) ◽

pp. 1634-1642 ◽

Cited By ~ 1

Author(s):

V. L. Kulik

Keyword(s):

Dynamical Systems ◽

Linear Extensions

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On equicontinuous factors of linear extensions of minimal dynamical systems

Ukrainian Mathematical Journal ◽

10.1007/bf01060980 ◽

1993 ◽

Vol 45 (2) ◽

pp. 249-254

Author(s):

V. A. Glavan

Keyword(s):

Dynamical Systems ◽

Linear Extensions ◽

Minimal Dynamical Systems

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Some constructions of Lyapunov function for linear extensions of dynamical systems

Opuscula Mathematica ◽

10.7494/opmath.2011.31.3.399 ◽

2011 ◽

Vol 31 (3) ◽

pp. 399

Author(s):

Viktor Kulik ◽

Ewa Tkocz-Piszczek

Keyword(s):

Dynamical Systems ◽

Lyapunov Function ◽

Linear Extensions

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