Algebraic structure of the gradient‐holonomic algorithm for Lax integrable nonlinear dynamical systems. I

Journal of Mathematical Physics ◽

10.1063/1.530569 ◽

1994 ◽

Vol 35 (4) ◽

pp. 1763-1777 ◽

Cited By ~ 18

Author(s):

A. K. Prykarpatsky ◽

V. Hr. Samoilenko ◽

R. I. Andrushkiw ◽

Yu. O. Mitropolsky ◽

M. M. Prytula

Keyword(s):

Dynamical Systems ◽

Algebraic Structure ◽

Nonlinear Dynamical Systems ◽

Nonlinear Dynamical

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Lie-algebraic structure of (2 + 1)-dimensional Lax-type integrable nonlinear dynamical systems

Ukrainian Mathematical Journal ◽

10.1007/s11253-005-0121-y ◽

2004 ◽

Vol 56 (7) ◽

pp. 1117-1126 ◽

Cited By ~ 1

Author(s):

A. K. Prykarpats’kyi ◽

O. E. Hentosh

Keyword(s):

Dynamical Systems ◽

Algebraic Structure ◽

Nonlinear Dynamical Systems ◽

Nonlinear Dynamical ◽

Lie Algebraic Structure

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Quantum current lie algebra as the universal algebraic structure of the symmetries of completely integrable nonlinear dynamical systems of theoretical and mathematical physics

Theoretical and Mathematical Physics ◽

10.1007/bf01017166 ◽

1988 ◽

Vol 75 (1) ◽

pp. 329-339 ◽

Cited By ~ 2

Author(s):

N. N. Bogolyubov ◽

A. K. Prikarpatskii

Keyword(s):

Dynamical Systems ◽

Lie Algebra ◽

Algebraic Structure ◽

Nonlinear Dynamical Systems ◽

Mathematical Physics ◽

Nonlinear Dynamical ◽

Completely Integrable ◽

Quantum Current

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Lie-algebraic structure of integrable nonlinear dynamical systems on extended functional manifolds

Ukrainian Mathematical Journal ◽

10.1007/bf02487508 ◽

1997 ◽

Vol 49 (11) ◽

pp. 1697-1704 ◽

Cited By ~ 2

Author(s):

M. M. Prytula

Keyword(s):

Dynamical Systems ◽

Algebraic Structure ◽

Nonlinear Dynamical Systems ◽

Nonlinear Dynamical ◽

Lie Algebraic Structure

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Algebraic structure of the gradient‐holonomic algorithm for Lax integrable nonlinear dynamical systems. II. The reduction via Dirac and canonical quantization procedure

Journal of Mathematical Physics ◽

10.1063/1.530844 ◽

1994 ◽

Vol 35 (8) ◽

pp. 4088-4116 ◽

Cited By ~ 7

Author(s):

A. K. Prykarpatskyj ◽

V. Hr. Samoilenko ◽

R. I. Andrushkiw

Keyword(s):

Dynamical Systems ◽

Algebraic Structure ◽

Nonlinear Dynamical Systems ◽

Canonical Quantization ◽

Nonlinear Dynamical ◽

Quantization Procedure

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Noise in Nonlinear Dynamical Systems

10.1017/cbo9780511897825 ◽

1989 ◽

Cited By ~ 9

Keyword(s):

Dynamical Systems ◽

Nonlinear Dynamical Systems ◽

Nonlinear Dynamical

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Control Synthesis for Linear and Nonlinear Dynamical Systems under Bounded Measurement Errors of a State Vector

Journal of Automation and Information Sciences ◽

10.1615/jautomatinfscien.v48.i1.20 ◽

2016 ◽

Vol 48 (1) ◽

pp. 2-14

Author(s):

Vsevolod M. Kuntsevich

Keyword(s):

Dynamical Systems ◽

State Vector ◽

Measurement Errors ◽

Nonlinear Dynamical Systems ◽

Control Synthesis ◽

Nonlinear Dynamical ◽

Linear And Nonlinear

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Discrepancy Driven Adaptive Monte Carlo for Forward Uncertainty Forecasting in Nonlinear Dynamical Systems

2018 Annual American Control Conference (ACC) ◽

10.23919/acc.2018.8431731 ◽

2018 ◽

Cited By ~ 2

Author(s):

Chao Yang ◽

Mrinal Kumar

Keyword(s):

Monte Carlo ◽

Dynamical Systems ◽

Nonlinear Dynamical Systems ◽

Nonlinear Dynamical ◽

Adaptive Monte Carlo

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A Support Vector Regression Approach for Recursive vskip0.2 baselineskip Simultaneous Data Reconciliation and Gross ErrorDetection in Nonlinear Dynamical Systems

ACTA AUTOMATICA SINICA ◽

10.3724/sp.j.1004.2009.00707 ◽

2009 ◽

Vol 35 (6) ◽

pp. 707-716 ◽

Cited By ~ 3

Author(s):

Yu MIAO ◽

Hong-Ye SU ◽

Jian CHU

Keyword(s):

Dynamical Systems ◽

Support Vector Regression ◽

Nonlinear Dynamical Systems ◽

Data Reconciliation ◽

Support Vector ◽

Nonlinear Dynamical ◽

Regression Approach

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Nonlinear Dynamical Systems in Mechanics and Biology.

10.21236/ada299148 ◽

1995 ◽

Author(s):

Philip Holmes

Keyword(s):

Dynamical Systems ◽

Nonlinear Dynamical Systems ◽

Nonlinear Dynamical

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Reduction of nonlinear dynamical systems excited by random loads

PAMM ◽

10.1002/pamm.201900496 ◽

2019 ◽

Vol 19 (1) ◽

Author(s):

Leo Dostal

Keyword(s):

Dynamical Systems ◽

Nonlinear Dynamical Systems ◽

Nonlinear Dynamical ◽

Random Loads

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