Convergence and periodic solutions for the input impedance of a standard ladder network

European Journal of Physics

Volumn 28, Issue 2, 2007, Pages 321-329

  Ucak, C ^a   Acar, C ^a  

^a YEDITEPE UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; LADDER NETWORKS; PROBLEM SOLVING; TIME VARYING SYSTEMS;

PARADOXICAL BEHAVIOR; PERIODIC INPUT IMPEDANCE; PERIODIC SOLUTIONS;

ELECTRIC IMPEDANCE;

EID: 34248998799     PISSN: 01430807     EISSN: 13616404     Source Type: Journal    
DOI: 10.1088/0143-0807/28/2/017     Document Type: Article

References (13)

1. Feynman R, Leighon R B and Sands M L 1989 The Feynman Lectures on Physics, Commemorative Issue vol 2 (Reading, MA: Addison-Wesley) chapter 22
2. van Enk S J 2000 Paradoxical behavior of an infinite ladder network of inductors and capacitors Am. J. Phys. 68 854-6
3. Keskin A U, Pazarci D and Acar C 2005 Comment on 'Paradoxical behavior of an infinite ladder network of inductors and capacitors' by S J van Enk (Am. J. Phys. 68 854-6 (2000)) Am. J. Phys. 73 881-2
4. Atkinson D and Steenwijk 1999 Infinite resistive lattices Am. J. Phys. 67 486-92
5. Zemanian A H and Davis A M 1985 Realizability and synthesis for infinite grids of positive resistances IEEE Trans. Circuits Syst. 32 192-6
6. Zemanian A H 1999 Transfinite electrical networks IEEE Trans. Circuits Syst. I 46 59-70
7. Zemanian A H 1991 Transfinite cascades IEEE Trans. Circuits Syst. 38 78-85
8. Srinivasan T P 1992 Fibonacci sequence, golden ratio, and a network of resistors Am. J. Phys. 60 461-2
9. Dimeo R M 2000 Fourier transform solution to the semi-infinite resistance ladder Am. J. Phys 68 669-70
10. Bender C 1994 Capacitive ladder networks IEEE Trans. Circuits Syst. I 41 557-8
11. Krivine H and Lesne A 2003 Phase transition-like behaviour in a low-pass filter Am. J. Phys. 71 31-3
12. Brogan L W 1985 Modern Control Theory (Englewood Cliffs, NJ: Prentice-Hall)
13. Dykhne A M, Snarskii A A and Zhenirovskii M I 2004 Stability and chaos in randomly inhomogeneous two-dimensional media and LC circuits Phys.-Usp. 47 821-28