Bounded Solutions of the Nonlinear Lyapunov Equation and Homoclinic Chaos

O. A. Boichuk; O. O. Pokutnyi

doi:10.1007/s11253-019-01685-w

Bounded Solutions of the Nonlinear Lyapunov Equation and Homoclinic Chaos

Ukrainian Mathematical Journal ◽

10.1007/s11253-019-01685-w ◽

2019 ◽

Vol 71 (6) ◽

pp. 869-882

Author(s):

O. A. Boichuk ◽

O. O. Pokutnyi

Keyword(s):

Lyapunov Equation ◽

Bounded Solutions ◽

Homoclinic Chaos

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On periodic and bounded solutions of the operator Riccati equation

Ukrainian Mathematical Journal ◽

10.1007/bf01060981 ◽

1993 ◽

Vol 45 (2) ◽

pp. 255-259

Author(s):

A. Ya. Dorogovtsev

Keyword(s):

Riccati Equation ◽

Bounded Solutions ◽

Operator Riccati Equation

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Existence of bounded solutions and asymptotic relationships for nonlinear Volterra integral equations

Mathematical Systems Theory ◽

10.1007/bf01762676 ◽

1974 ◽

Vol 8 (3) ◽

pp. 266-275 ◽

Cited By ~ 2

Author(s):

Athanassios G. Kartsatos

Keyword(s):

Integral Equations ◽

Volterra Integral Equations ◽

Bounded Solutions

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Bounded Solutions of Finite Dimensional Approximations to the Boussinesq Equations

SIAM Journal on Mathematical Analysis ◽

10.1137/0510008 ◽

1979 ◽

Vol 10 (1) ◽

pp. 71-77 ◽

Cited By ~ 10

Author(s):

James H. Curry

Keyword(s):

Boussinesq Equations ◽

Bounded Solutions ◽

Finite Dimensional

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Bounded solutions of a k -Hessian equation involving a weighted nonlinear source

Journal of Differential Equations ◽

10.1016/j.jde.2017.02.047 ◽

2017 ◽

Vol 263 (1) ◽

pp. 687-708 ◽

Cited By ~ 3

Author(s):

Justino Sánchez ◽

Vicente Vergara

Keyword(s):

Bounded Solutions ◽

Nonlinear Source ◽

Hessian Equation

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Asymptotic Stability and the Lyapunov Equation for Two-Dimensional Discrete Systems

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)60968-6 ◽

1984 ◽

Vol 17 (2) ◽

pp. 197-200

Author(s):

P. Agathoklis ◽

E.I. Jury ◽

M. Mansour

Keyword(s):

Asymptotic Stability ◽

Lyapunov Equation ◽

Discrete Systems ◽

Two Dimensional

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Explicit expressions for the ℋ2 norm of time-delay systems based on the delay Lyapunov equation

49th IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc.2010.5717782 ◽

2010 ◽

Author(s):

Elias Jarlebring ◽

Joris Vanbiervliet ◽

Wim Michiels

Keyword(s):

Time Delay ◽

Lyapunov Equation ◽

Delay Systems ◽

Time Delay Systems ◽

Explicit Expressions

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Homoclinic chaos in strongly dissipative strongly coupled complex dusty plasmas

Physical Review E ◽

10.1103/physreve.103.023205 ◽

2021 ◽

Vol 103 (2) ◽

Author(s):

Samiran Ghosh

Keyword(s):

Dusty Plasmas ◽

Strongly Coupled ◽

Homoclinic Chaos

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On the eigenvalue estimation for solution to Lyapunov equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.01.106 ◽

2011 ◽

Vol 217 (16) ◽

pp. 6974-6980 ◽

Cited By ~ 1

Author(s):

Xingdong Yang ◽

Zhiying Ding ◽

Jiajing Zhang ◽

Suya Sun

Keyword(s):

Lyapunov Equation ◽

Eigenvalue Estimation

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Experimental evidence for homoclinic chaos in the Belousov-Zhabotinskii reaction

Physics Letters A ◽

10.1016/0375-9601(87)90669-4 ◽

1987 ◽

Vol 120 (6) ◽

pp. 269-275 ◽

Cited By ~ 74

Author(s):

F. Argoul ◽

A. Arneodo ◽

P. Richetti

Keyword(s):

Experimental Evidence ◽

Homoclinic Chaos ◽

Belousov Zhabotinskii Reaction

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Polynomially bounded solutions to the Loewner differential equation in several complex variables

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2011.02.080 ◽

2011 ◽

Vol 381 (1) ◽

pp. 179-186 ◽

Cited By ~ 18

Author(s):

H. Hamada

Keyword(s):

Differential Equation ◽

Complex Variables ◽

Several Complex Variables ◽

Bounded Solutions ◽

Loewner Differential Equation

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