On the origin of periodicity in dynamical systems

Physica A: Statistical Mechanics and its Applications

Volumn 283, Issue 1, 2000, Pages 17-23

  Gallas, Jason A C ^a,b,c  

^a UNIVERSITY OF LISBON   (Portugal)

^b UNIVERSITY OF STUTTGART   (Germany)

^c FEDERAL UNIVERSITY OF RIO GRANDE   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS; SET THEORY; THEOREM PROVING;

HYPERBOLIC FUNCTIONS; PERIODIC FUNCTIONS; QUADRATIC MAPS; TRIGONOMETRY; UNSTABLE PERIODIC ORBITS (UPO);

NUMBER THEORY;

EID: 0033692295     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(00)00123-0     Document Type: Article

References (15)

1. Gutzwiller M.C. Chaos in Classical and Quantum Mechanics. 1990;Springer, New York.
2. K.Th. Vahlen, Encyklopädie der mathematischen Wissenschaften, Vol. I, paper I B3b, Teubner, Leipzig, 1898-1904, pp. 449-479.
3. J.W. Archbold, Algebra, Pitman and Sons, London, 1958 (Chapter 11).
4. Gallas J.A.C. Europhys. Lett. 47:1999;649.
5. J.A.C. Gallas, Infinite hierarchies of nonlinearly inherited periodic orbits, to appear.
6. Wigner E.P. Amer. Math. Monthly. 59:1952;669.
7. Grammel R. Arch. Math. 1:1948;47.
8. Grammel R. Ing. Arch. 16:1948;188.
9. Grammel R. Ing. Arch. 18:1950;250.
10. Shelupsky D. Amer. Math. Monthly. 66:1959;879.
11. H. Kaufman, Amer. Math. Monthly 67 (1960) 753; and several references therein.
12. Flyvbjerg H., Jobs E., Leibler S. Kinetics of self-assembling microtubules: an "inverse problem" in biochemistry. Proc. Nat. Acad. Sci. USA. 93:1996;5975.
13. D. Hilbert, Über das Unendliche, Math. Ann. 95 (1926) 161 (French translation (by A. Weil): Sur l'infini, Acta Math. 48 (1926) 91.
14. D. Hilbert, Über das Unendliche, Math. Ann. 95 (1926) 161 (French translation (by A. Weil): Sur l'infini, Acta Math. 48 (1926) 91.
15. Gentzen G. Die Widerspruchsfreiheit der reinen Zahlentheorie. Math. Ann. 112:1936;493.