A “quantal” Hilbert space formulation for nonlinear dynamical systems in terms of probability amplitudes

Physics Letters A ◽

10.1016/0375-9601(92)90157-h ◽

1992 ◽

Vol 163 (1-2) ◽

pp. 41-45 ◽

Author(s):

T. Alanson

Keyword(s):

Hilbert Space ◽

Dynamical Systems ◽

Nonlinear Dynamical Systems ◽

Nonlinear Dynamical ◽

Space Formulation

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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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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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A hypothesis concerning ‘quantal’ Hilbert space criterion of chaos in nonlinear dynamical systems

Chaos Solitons & Fractals ◽

10.1016/0960-0779(94)00213-4 ◽

1996 ◽

Vol 7 (5) ◽

pp. 653-657

Author(s):

Krzysztof Kowalski

Keyword(s):

Hilbert Space ◽

Dynamical Systems ◽

Nonlinear Dynamical Systems ◽

Nonlinear Dynamical

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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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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 ◽

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 ◽

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Learning Multiple Nonlinear Dynamical Systems with Side Information

2020 59th IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc42340.2020.9304482 ◽

2020 ◽

Author(s):

Naoya Takeishi ◽

Yoshinobu Kawahara

Keyword(s):

Dynamical Systems ◽

Nonlinear Dynamical Systems ◽

Side Information ◽

Nonlinear Dynamical

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