Nonlinear dynamical systems, first integrals, Bose operators, and Lie algebras

Foundations of Physics Letters ◽

10.1007/bf00769708 ◽

1990 ◽

Vol 3 (4) ◽

pp. 367-374

Author(s):

W. -H. Steeb ◽

N. Euler

Keyword(s):

Dynamical Systems ◽

Lie Algebras ◽

Nonlinear Dynamical Systems ◽

First Integrals ◽

Nonlinear Dynamical ◽

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Symmetries and First Integrals for Nonlinear Dynamical Systems: Hilbert Space Approach. I: Ordinary Differential Equations

Progress of Theoretical Physics ◽

10.1143/ptp/85.4.713 ◽

1991 ◽

Vol 85 (4) ◽

pp. 713-722 ◽

Author(s):

K. Kowalski ◽

W.- H. Steeb

Keyword(s):

Hilbert Space ◽

Dynamical Systems ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Nonlinear Dynamical Systems ◽

First Integrals ◽

Nonlinear Dynamical ◽

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Continuum analogues of contragredient Lie algebras (Lie algebras with a Cartan operator and nonlinear dynamical systems)

Communications in Mathematical Physics ◽

10.1007/bf02125130 ◽

1989 ◽

Vol 126 (2) ◽

pp. 367-378 ◽

Author(s):

M. V. Saveliev ◽

A. M. Vershik

Keyword(s):

Dynamical Systems ◽

Lie Algebras ◽

Nonlinear Dynamical Systems ◽

Nonlinear Dynamical

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Integration of nonlinear dynamical systems associated with finite-dimensional Lie algebras

Group-Theoretical Methods for Integration of Nonlinear Dynamical Systems ◽

10.1007/978-3-0348-8638-3_4 ◽

1992 ◽

pp. 125-166

Author(s):

A. N. Leznov ◽

M. V. Saveliev

Keyword(s):

Dynamical Systems ◽

Lie Algebras ◽

Nonlinear Dynamical Systems ◽

Nonlinear Dynamical ◽

Finite Dimensional ◽

Finite Dimensional Lie Algebras

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Phase-coupled nonlinear dynamical systems, stability, first integrals, and Liapunov exponents

International Journal of Theoretical Physics ◽

10.1007/bf02435942 ◽

1997 ◽

Vol 36 (10) ◽

pp. 2043-2049

Author(s):

W. -H. Steeb ◽

M. A. van Wyk

Keyword(s):

Dynamical Systems ◽

Nonlinear Dynamical Systems ◽

First Integrals ◽

Nonlinear Dynamical ◽

Liapunov Exponents

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Time-Dependent First Integrals, Nonlinear Dynamical Systems, and Numerical Integration

International Journal of Theoretical Physics ◽

10.1007/s10773-005-4833-4 ◽

2005 ◽

Vol 44 (9) ◽

pp. 1617-1620

Author(s):

Willi-Hans Steeb ◽

Timothy Scholes ◽

Yorick Hardy

Keyword(s):

Dynamical Systems ◽

Numerical Integration ◽

Nonlinear Dynamical Systems ◽

First Integrals ◽

Time Dependent ◽

Nonlinear Dynamical

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Symmetries and First Integrals for Nonlinear Dynamical Systems: Hilbert Space Approach. II: Partial Differential Equations

Progress of Theoretical Physics ◽

10.1143/ptp/85.5.975 ◽

1991 ◽

Vol 85 (5) ◽

pp. 975-983 ◽

Author(s):

K. Kowalski ◽

W.- H. Steeb

Keyword(s):

Hilbert Space ◽

Partial Differential Equations ◽

Dynamical Systems ◽

Differential Equations ◽

Nonlinear Dynamical Systems ◽

First Integrals ◽

Partial Differential ◽

Nonlinear Dynamical ◽

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Integrable three-dimensional coupled nonlinear dynamical systems related to centrally extended operator Lie algebras and their Lax type three-linearization

Central European Journal of Mathematics ◽

10.2478/s11533-006-0038-1 ◽

2007 ◽

Vol 5 (1) ◽

pp. 84-104

Author(s):

J. Golenia ◽

O. Ye. Hentosh ◽

A. K. Prykarpatsky

Keyword(s):

Dynamical Systems ◽

Lie Algebras ◽

Nonlinear Dynamical Systems ◽

Three Dimensional ◽

Nonlinear Dynamical ◽

Extended Operator

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Noise in Nonlinear Dynamical Systems

10.1017/cbo9780511897825 ◽

1989 ◽

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 ◽

Author(s):

Chao Yang ◽

Mrinal Kumar

Keyword(s):

Monte Carlo ◽

Dynamical Systems ◽

Nonlinear Dynamical Systems ◽

Nonlinear Dynamical ◽

Adaptive Monte Carlo

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