Practical computation of accessibility, controllability and nilpotent approximations

Algebraic Computing in Control - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0006949 ◽

2005 ◽

pp. 334-345

Author(s):

Matthias Kawski

Keyword(s):

Practical Computation

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Practical Computation of the Cut Locus on Discrete Surfaces

Computer Graphics Forum ◽

10.1111/cgf.14372 ◽

2021 ◽

Vol 40 (5) ◽

pp. 261-273

Author(s):

C. Mancinelli ◽

M. Livesu ◽

E. Puppo

Keyword(s):

Cut Locus ◽

Practical Computation ◽

Discrete Surfaces

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Practical Computation of Optimal Schedules in Multihop Wireless Networks

IEEE/ACM Transactions on Networking ◽

10.1109/tnet.2011.2111462 ◽

2011 ◽

Vol 19 (2) ◽

pp. 305-318 ◽

Cited By ~ 6

Author(s):

Peng Wang ◽

Stephan Bohacek

Keyword(s):

Wireless Networks ◽

Multihop Wireless Networks ◽

Multihop Wireless ◽

Practical Computation

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Practical computation of the mixed μ problem

1992 American Control Conference ◽

10.23919/acc.1992.4792521 ◽

1992 ◽

Cited By ~ 24

Author(s):

Peter M. Young ◽

Matthew P. Newlin ◽

John C. Doyle

Keyword(s):

Practical Computation

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Practical Computation

Wavelets and Multiwavelets ◽

10.1201/9780203011591.ch2 ◽

2003 ◽

Keyword(s):

Practical Computation

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The Inversion Problem II: Practical Computation

Numerical Algebra ◽

10.1016/b978-0-12-692402-2.50010-2 ◽

1977 ◽

pp. 44-52

Author(s):

John Todd

Keyword(s):

Inversion Problem ◽

Practical Computation

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Practical Computation

Wavelets and Multiwavelets ◽

10.1201/9780203011591-8 ◽

2003 ◽

pp. 42-65

Keyword(s):

Practical Computation

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Practical Computation of Two-Dimensional Correlation Spectra

Two-Dimensional Correlation Spectroscopy - Applications in Vibrational and Optical Spectroscopy ◽

10.1002/0470012404.ch3 ◽

2005 ◽

pp. 39-46

Keyword(s):

Two Dimensional ◽

Practical Computation

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WISE design of indoor wireless systems: practical computation and optimization

IEEE Computational Science and Engineering ◽

10.1109/99.372944 ◽

1995 ◽

Vol 2 (1) ◽

pp. 58-68 ◽

Cited By ~ 217

Author(s):

S.J. Fortune ◽

D.M. Gay ◽

B.W. Kernighan ◽

O. Landron ◽

R.A. Valenzuela ◽

...

Keyword(s):

Wireless Systems ◽

Practical Computation ◽

Indoor Wireless

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Shorter contributions: Practical computation of the median.

Psychological Review ◽

10.1037/h0071847 ◽

1895 ◽

Vol 2 (4) ◽

pp. 376-379

Author(s):

E. W. Scripture

Keyword(s):

Practical Computation

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PRACTICAL COMPUTATION OF NORMAL FORMS ON CENTER MANIFOLDS AT DEGENERATE BOGDANOV–TAKENS BIFURCATIONS

International Journal of Bifurcation and Chaos ◽

10.1142/s0218127405014209 ◽

2005 ◽

Vol 15 (11) ◽

pp. 3535-3546 ◽

Cited By ~ 45

Author(s):

YU. A. KUZNETSOV

Keyword(s):

Normal Form ◽

Numerical Evaluation ◽

Center Manifold ◽

Normal Forms ◽

Center Manifolds ◽

Linear Transformations ◽

Double Zero ◽

Practical Computation ◽

Generalized Eigenvectors

Simple computational formulas are derived for the two-, three-, and four-order coefficients of the smooth normal form on the center manifold at the Bogdanov–Takens (nonsemisimple double-zero) bifurcation for n-dimensional systems with arbitrary n ≥ 2. These formulas are equally suitable for both symbolic and numerical evaluation and allow one to classify all codim 3 Bogdanov–Takens bifurcations in generic multidimensional ODEs. They are also applicable to systems with symmetries. We perform no preliminary linear transformations but use only critical (generalized) eigenvectors of the linearization matrix and its transpose. The derivation combines the approximation of the center manifold with the normalization on it. Three known models are used as test examples to demonstrate advantages of the method.

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