Computational Singular Perturbation Method for Nonstandard Slow-Fast Systems

Ian Lizarraga; Martin Wechselberger

doi:10.1137/19m1242677

Computational Singular Perturbation Method for Nonstandard Slow-Fast Systems

SIAM Journal on Applied Dynamical Systems ◽

10.1137/19m1242677 ◽

2020 ◽

Vol 19 (2) ◽

pp. 994-1028

Author(s):

Ian Lizarraga ◽

Martin Wechselberger

Keyword(s):

Singular Perturbation ◽

Perturbation Method ◽

Singular Perturbation Method ◽

Computational Singular Perturbation

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Fast and Slow Dynamics for the Computational Singular Perturbation Method

Multiscale Modeling and Simulation ◽

10.1137/040603577 ◽

2004 ◽

Vol 2 (4) ◽

pp. 613-638 ◽

Cited By ~ 56

Author(s):

Antonios Zagaris ◽

Hans G. Kaper ◽

Tasso J. Kaper

Keyword(s):

Singular Perturbation ◽

Perturbation Method ◽

Slow Dynamics ◽

Singular Perturbation Method ◽

Computational Singular Perturbation

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COMPUTATIONAL SINGULAR PERTURBATION METHOD FOR DYNAMIC SYSTEMS

Automatic Control 1990 ◽

10.1016/b978-0-08-041263-4.50071-3 ◽

1991 ◽

pp. 409-413

Author(s):

M.D. Ardema

Keyword(s):

Singular Perturbation ◽

Perturbation Method ◽

Dynamic Systems ◽

Singular Perturbation Method ◽

Computational Singular Perturbation

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Computational singular perturbation method for dynamic systems

Journal of Guidance Control and Dynamics ◽

10.2514/3.20688 ◽

1991 ◽

Vol 14 (3) ◽

pp. 661-664 ◽

Cited By ~ 7

Author(s):

Mark D. Ardema

Keyword(s):

Singular Perturbation ◽

Perturbation Method ◽

Dynamic Systems ◽

Singular Perturbation Method ◽

Computational Singular Perturbation

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Geometry of the Computational Singular Perturbation Method

Mathematical Modelling of Natural Phenomena ◽

10.1051/mmnp/201510303 ◽

2015 ◽

Vol 10 (3) ◽

pp. 16-30 ◽

Cited By ~ 11

Author(s):

Hans G. Kaper ◽

Tasso J. Kaper ◽

Antonios Zagaris

Keyword(s):

Singular Perturbation ◽

Perturbation Method ◽

Singular Perturbation Method ◽

Computational Singular Perturbation

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Computational Singular Perturbation Method for Dynamic Systems

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)51950-3 ◽

1990 ◽

Vol 23 (8) ◽

pp. 409-413

Author(s):

M.D. Ardema

Keyword(s):

Singular Perturbation ◽

Perturbation Method ◽

Dynamic Systems ◽

Singular Perturbation Method ◽

Computational Singular Perturbation

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Computational singular perturbation method for nonstandard FitzHugh–Nagumo system

EPL (Europhysics Letters) ◽

10.1209/0295-5075/ac33ca ◽

2021 ◽

Author(s):

Yaru Liu ◽

Shenquan Liu ◽

Juergen Kurths

Keyword(s):

Singular Perturbation ◽

Perturbation Method ◽

Singular Perturbation Method ◽

Computational Singular Perturbation

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Application of the multiscale singular perturbation method to nonparaxial beam propagations in free space

Journal of the Optical Society of America A ◽

10.1364/josaa.24.003317 ◽

2007 ◽

Vol 24 (10) ◽

pp. 3317 ◽

Cited By ~ 6

Author(s):

Dongmei Deng ◽

Qi Guo ◽

Sheng Lan ◽

Xiangbo Yang

Keyword(s):

Singular Perturbation ◽

Perturbation Method ◽

Free Space ◽

Singular Perturbation Method

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A kind of singular perturbation method for solving the Boltzmann equation with small Knudsen number

Chinese Physics Letters ◽

10.1088/0256-307x/1/1/009 ◽

1984 ◽

Vol 1 (1) ◽

pp. 31-34

Author(s):

Ding E-jiang ◽

Huang Zu-qia

Keyword(s):

Boltzmann Equation ◽

Singular Perturbation ◽

Perturbation Method ◽

Knudsen Number ◽

Singular Perturbation Method ◽

The Boltzmann Equation

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Direct Torque Tracking PI-Controller Design for Switched Reluctance Motor Drive using Singular Perturbation Method

IFAC Proceedings Volumes ◽

10.3182/20080706-5-kr-1001.00564 ◽

2008 ◽

Vol 41 (2) ◽

pp. 3322-3327

Author(s):

Sanjib Kumar Sahoo ◽

Sanjib Kumar Panda ◽

Jian-Xin Xu ◽

Valery D. Yurkevich

Keyword(s):

Singular Perturbation ◽

Perturbation Method ◽

Controller Design ◽

Switched Reluctance Motor ◽

Pi Controller ◽

Motor Drive ◽

Singular Perturbation Method ◽

Switched Reluctance ◽

Reluctance Motor

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Dual-loop feedback control of servo motor systems using singular perturbation method

Proceedings of the 2003 American Control Conference, 2003. ◽

10.1109/acc.2003.1242458 ◽

2004 ◽

Cited By ~ 1

Author(s):

Rongjun Zhang ◽

Yaobin Chen

Keyword(s):

Feedback Control ◽

Singular Perturbation ◽

Perturbation Method ◽

Servo Motor ◽

Singular Perturbation Method ◽

Motor Systems ◽

Loop Feedback

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