Prof W-H Steeb

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Oct 23, 2013 (3 years and 9 months ago)

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Prof W
-
H Steeb




Some recent papers:

(Click here for a complete list of
papers)

[[Link to URL
http://issc.rau.ac.za/steeb/steeb.html]]


1.

Steeb W
-
H,
Computer Algebra and its Applications in Physics,

Int. J. Mod.
Phys. C,
3 (1992) 1333
-
1350

2.

Steeb W
-
H,
Fermi S
ystems and Computer Algebra,

Int. J. Mod. Phys. C,
4
(1993) 841
-
846

3.

Steeb W
-
H, Villet C M and Mulser P,
Hubbard Model, Conserved
Quantities and Computer Algebra,

Int. J. Theor. Phys., 32
(1993) 1445
-
1452

4.

Euler N, Shulga M W and Steeb W
-
H,
Lie Symmetri
es an
d Painleve Test
for Explicitly Space and Time
-
Dependent Nonlinear Wave Equations,

J.
Phys. A: Math. Gen., 26 (1993) L307
-
L313

5.

Steeb W
-
H and Heiss W D,
Thr
ee Level Hamiltonian System and
Exceptional Points,

Physica Scripta, 47 (1993) 321
-
322


6.

Steeb W
-
H and
Euler N,
Externally Driven Nonlinear Oscillator, Painleve
Test, First Integrals and Lie Symmetyries,

Z. Naturforschung, 48a (1993)
943
-
944

7.

Steeb W
-
H and Fatykhova Assia,
Singularities in the complex time plane
and exactly solvable dynamical systems,

Canadi
an J. Phys., 72 (1994)
147
-
151

8.

Steeb W
-
H,
Applications of Computer Algebra in Quantum Groups,

Int. J.
Mod. Phys. C, 5 (1994)
701
-
706

9.

Steeb W
-
H,
Extended Lorenz Model and Time Dependent First Integrals,

Z. Naturforschung, 49a,
(1994) 751
-
753

10.

Steeb W
-
H, Solms
F and Stoop R,
Chaotic Systems and Maximum
Entropy Formalism,

J. Phys. A: Math. Gen., 27, (1994) L399
-
L402

11.

Steeb W
-
H and Stoop R,
Pade
-
like Approximation and Maximum Entropy
Formalism applied to Chaotic Systems,

J. Math. Phys., 35, (1994) 6604
-
6612

12.

Stoop R

and Steeb W
-
H,
Entropic Characterisation of Diffusion,

Z.
Naturforschung,
49a (1994) 1215
-
1218

13.

Steeb W
-
H,
Bose
-
Fermi Systems and Computer Algebra,

Found. of Phys.
Lett., 8 (1995) 73
-
78

14.

Stoop R, Steeb W
-
H and Radons G,
A new characterization of
determinist
ic diffusion: Diffusion
-
related entropy functions,

Phys. Letters A,
202, (1995) 195
-
200


15.

Steeb W
-
H, Stoop R, Lai Choy Heng and Villet C M,
Coupled Chaotic
Oscillators and Control of Chaos,
South African Journal of Science, 91
(1995) 273
-
274

16.

Steeb W
-
H,
Pseudo
spherical Surfaces, Soliton Equations and Computer
Algebra,

Int. J. Modern Phys. C, 6 (1995) 743
-
746

17.

Bauer D, Mulser P. and Steeb W
-
H,
Relativistic ponderomotive force,
uphill acceleration, and transition to chaos,

Phys. Rev. Lett., 75, (1995)
4622
-
4628

18.

St
eeb W
-
H and Lai Choy Heng,
A Note on Lax Representation and
Kronecker Product,

Int. J. Theor. Phys., 35
(1996) 281
--
284</LI

19.

Steeb W
-
H, Solms F. and Tan Kiat Shi,
Genetic Algorithms and Object
-
Oriented Programming,

Int. J. Mod. Phys. C, 6

(1995)

20.

Stoop R and

Steeb W
-
H,
Asymmetric bats characterize universality for
parallel iterations
, Europhys. Lett., 35 (1996) 177
-
182

21.

Steeb W
-
H and Van Wyk M A,
Invariants and Chaotic Maps
, Int. J. Theor.
Phys., 35 (1996) 1253
-
1257

22.

Steeb W.
-
H. and Tan Kiat Shi,
Object
-
Oriente
d Design and Symbolic
Computation
, (in LaTeX format).

23.


Hardy Y. and W.
-
H. Steeb,
The Rikitake Two
-
Disk Dynamo System and
Domains with Periodic Orbits
, International Journal of Theoretical Physics,
38 (1999) 2413
-
2417

24.

Hardy Y., W.
-
H. Steeb and C.M. Villet,
Stabilization of Chaotic Systems
with Phase Coupling
, Z. Naturforsch, 55a (2000)

25.

Steeb W.
-
H. and Y. Hardy,
Energy eigenvalue level motion and a
SymbolicC++ implementation
, International Journal of Modern Physics C,
11 (2000)

26.

Steeb W.
-
H. and Y. Hardy,
Entan
gled Quantum States
, International
Journal of Theoretical Physics, 39 (2000) 2765

27.

Steeb W.
-
H. and Y. Hardy,
Quantum Computing and SymbolicC++
Simulations
, International Journal of Modern Physics C, 11 (2000) 323
-
334

28.

Steeb W.
-
H. and Y. Hardy,
Entangled Quan
tum States and a C++
Implementation
, International Journal of Modern Physics C, 11 (2000) 69
-
77

29.

Hardy Y., W.
-
H. Steeb and R. Stoop,
Jacobi Elliptic Functions, Nonlinear
Evolution Equations and Recursion
, International Journal of Modern
Physics C, 11 (2000)

27
-
31

30.

Y. Hardy and W.H. Steeb,
Gene expression programming and one
-
dimensional chaotic maps
, International Journal of Modern Physics C, 12,
1, 2002.

31.

W.H. Steeb and Y. Hardy,
Entangled quantum states and the Kronecker
product
, Z. Naturforsch. 57a, 1
-
3, 200
2.

32.

W.H. Steeb, Y. Hardy and R. Stoop,
Discrete wavelets and filtering chaotic
signals
, International Journal of Modern Physics C, 13, 771
-
776, 2002.

33.

W.H. Steeb, Y. Hardy and R. Stoop,
Discrete wavelets and perturbation
theory,
J. Phys.A: Math. Gen. 36, 680
7
-
6811, 2003.

34.

Y. Hardy, W.
-
H. Steeb and R. Stoop,
Entanglement, disentanglement and
Wigner functions
, Physica Scripta vol. 69, 166
-
169, 2004

35.

Steeb W
-
H, Hardy Y and Stoop R, Bell
-
CHSH inequality and genetic
algorithms
, Zeitschrift f¨ur Naturforschung 60a, 8
65

866, 2005

36.


Stoop R, Stoop N, Kern A and Steeb W
-
H,
Shiner
-
Davison
-
Landsberg
complexity revisited
, Journal of Statistical Mechanics: Theory and
Experiment 1010

1015, 2005 Ott
T, Kern A, Steeb W
-
H and Stoop R,
Sequential Clustering: Tracking down the most

natural clusters
, Journal of
Statistical Mechanics: Theory and Experiment, 1000

1005, 2005


37.

Stoop R, Steeb W
-
H, Gallas J C and Kern A,
Auditory two
-
tone
suppression from a subcritical Hopf cochlea
, Physica A, 175

183, 351,
2005


38.

Janse van Rensburg T, van
Wyk M A, and Steeb W
-
H,
Mathematical
Modelling of an Automatic Driver
, International Journal of Modern Physics
C, 16, 895

908, 2005


39.

Hardy Y, Steeb W
-
H and Stoop R, Genetic Algorithms,
Floating Point
Numbers and Applications
, International Journal of Moder
n Physics C, 16,
1801

1804, 2005


40.

Steeb W
-
H and Andrieu E C,
Ljapunov Exponents, Hyperchaos and Hurst
Exponent
, Zeitschrift f¨ur Naturforschung, 60a, 252

254, 2005


41.

Steeb W
-
H and Scholes T,
Nonlinear Dynamical Systems and
Decompositions of Vector Fields
, P
hysica Scripta, 72, 16

18, 2005


42.

Steeb W
-
H, Scholes and Hardy Y,
Time
-
Dependent First Integrals,
Nonlinear Dynamical Systems, and Numerical Integration
, International
Journal of Theoretical Physics, 44, 1619

1622, 2005


43.

Janse van Rensburg T, van Wyk M A, P
otgieter A T and Steeb W
-
H,
Phase vocoder technology for the simulation of engine sound,
International Journal of Modern Physics C (in press), 17, 2006


44.

Janse van Rensburg T, van Wyk M A and Steeb W
-
H,
Simulating a test
environment for vehicle dynamics mod
els
, International Journal of Modern
Physics C (in press), 17, 2006


45.

Steeb W
-
H and Hardy Y, Quantum
Gates and Hamilton Operators
,
International Journal of Theoretical Physics (in press), 45, 2006


46.

Stoop R, Kern A, Steeb W
-
H and Stoop N,
Complexity measure
for
nonlinear electronic systems: Comment on the Shiner
-
Davison
-
Landsberg
measure
, Nonlinear Dynamics (in press) 43, 2006


47.

Hardy Y and Steeb W
-
H,
Decomposing the SWAP quantum gate
, Journal
of Physics A: Math. Gen. 39,

1463

1467, 2006



Some recent books:

(Click here for a complete list of
books
)

[[Link to URL
http://issc.rau.ac.za/steeb/steeb.html]]

1.

W.
-
H. Steeb,
Hilbert Spaces, Wavelets, Generalized Functions and
Modern Quantum Mechanics
, Kluwer Academ
ic Publishers,Dordrecht
1998, ISBN 0
-
7923
-
5231
-
9.

2.

Tan Kiat Shi and W.
-
H. Steeb,
Symbolic C++: An Introduction to Computer
Algebra using Object
-
Oriented Programming
, Springer
-
Verlag, Singapore
1997, ISBN 981
-
3083
-
55
-
7.

3.

W.
-
H. Steeb,
Matrix Calculus and Krone
cker Product with Applications
and C++ Programs
, World Scientific, Singapore 1997, ISBN 981
-
02
-
3241
-
1.

4.

W.
-
H. Steeb
Continuous Symmetries, Lie Algebras, Differential Equations
and Computer Algebra
, World Scientific, Singapore 1996 ISBN 981 022
8910.

5.

M. A. v
an Wyk and W.
-
H. Steeb
Chaos in Electronics
, Kluwer Academic
Publishers, Dordrecht 1997, ISBN 0
-
7923
-
4576
-
2.

6.

W.
-
H. Steeb
Problems and Solutions in Theoretical and Mathematical
Physics
,
Volume I, Introductory Level,

World Scientific,Singapore 1996,
ISBN 981
-
02
-
2944
-
5.

7.

W.
-
H. Steeb
Problems and Solutions in

Theoretical and Mathematical
Physics
,
Volume II, Advanced Level
, World Scientific, Singapore 1996,
ISBN 981
-
02
-
2941
-
0.

8.

W.
-
H. Steeb and F. Solms
Applications of C++ Programming:
Administration, Finance and S
tatistics

World Scientific, Singapore 1995,
ISBN 981
-
02
-
2313
-
7.

9.

W.
-
H. Steeb
Quantum Mechanics using Computer Algebra, includes
sample programs for REDUCE, MAPLE, MATHEMATICA and C++

World
Scientific, Singapore 1994, ISBN 981
-
02
-
1770
-
6.

10.

W.
-
H. Steeb
Invertib
le Point Transformation and Nonlinear Differential
Equations,

World Scientific, Singapore 1993, ISBN 981
-
02
-
1355
-
7.

11.

W.
-
H. Steeb
Chaos and Fractals

Algorithms and Computations

Spektrum,
Akademischer Verlag, Heidelberg, ISBN 3
-
86025
-
630
-
0.

12.

Tan K.S., W.
-
H. St
eeb, and Y. Hardy,
SymbolicC++ (2nd extended and
revised edition)
, Springer Verlag, London 2000

13.

Y Hardy and W
-
H Steeb,
Classical and Quantum Computing with C++ and
Java Simulations
, Birkh¨auser Publishing, Basel, 2001, ISBN 376
-
436
-
610
-
9


14.

W
-
H Steeb,
The No
nlinear Workbook: Chaos, Fractals, Cellular Automata,
Neural Networks, Genetic Algorithm, Gene Expression Programming,
Wavelets, Fuzzy Logic, with C++, Java and SymbolicC++ Programs
,
second edition, World Scientific, Singapore,

2002


15.

W
-
H Steeb,
Problems an
d Solutions in Theoretical


and Mathematical
Physics
,

Volume II, Advanced


Level, second edition
, World Scientific,
Singapore, 2003, ISBN 981
-
238
-
988
-
1


16.

W
-
H Steeb,
Problems and Solutions in Theoretical


and Mathematical
Physics
,

Volume I, Introductory Leve
l, second edition
, World Scientific,
Singapore, 2003, ISBN 981
-
238
-
990
-
3


17.

W
-
H Steeb, Y Hardy A Hardy and R Stoop,
Problems and Solutions in
Scientific Computing with C++ and Java Simulations,

World Scientific
Publishing, Singapore, 2004, ISBN 981
-
256
-
112
-
9


18.

W
-
H Steeb and Y Hardy,
Problems and Solutions in Quantum Computing
and Quantum Information
, World Scientific Publishing, Singapore, 2004,
ISBN 981
-
238
-
789
-
7


19.

W
-
H Steeb,
Mathematical Tools in Signal


Processing with C++ and Java
Simulations
, World Scienti
fic Publishing, Singapore, 2005, ISBN 981
-
256
-
500
-
0


20.

W
-
H Steeb,
The Nonlinear Workbook: Chaos, Fractals, Cellular Automata,
Neural Networks, Genetic Algorithm, Gene Expression Programming,
Wavelets, Fuzzy Logic with C++, Java and SymbolicC++ Programs, thir
d
edition,

World Scientific Publishing, Singapore,

2005, ISBN 981
-
256
-
278
-
8