prikaz prve stranice dokumenta Energy dependence of selfsimilarity truncation in a system of weakly coupled dissipative oscillators relevant for biological systems
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Scientific paper - Original scientific paper
Energy dependence of selfsimilarity truncation in a system of weakly coupled dissipative oscillators relevant for biological systems
Fizika A, 10 (2001), 3; 95-104. urn:nbn:hr:217:871674
Paar, Vladimir; Pavin, Nenad; Rosandić, Marija

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Paar, V., Pavin, N. & Rosandić, M. (2001). Energy dependence of selfsimilarity truncation in a system of weakly coupled dissipative oscillators relevant for biological systems. Fizika A, 10. (3), 95-104. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:871674

Paar, Vladimir, et al. "Energy dependence of selfsimilarity truncation in a system of weakly coupled dissipative oscillators relevant for biological systems." Fizika A, vol. 10, no. 3, 2001, pp. 95-104. https://urn.nsk.hr/urn:nbn:hr:217:871674

Paar, Vladimir, Nenad Pavin and Marija Rosandić. "Energy dependence of selfsimilarity truncation in a system of weakly coupled dissipative oscillators relevant for biological systems." Fizika A 10, no. 3 (2001): 95-104. https://urn.nsk.hr/urn:nbn:hr:217:871674

Paar, V., Pavin, N. and Rosandić, M. (2001) 'Energy dependence of selfsimilarity truncation in a system of weakly coupled dissipative oscillators relevant for biological systems', Fizika A, 10(3), pp. 95-104. Available at: https://urn.nsk.hr/urn:nbn:hr:217:871674 (Accessed 14 November 2024)

Paar V, Pavin N, Rosandić M. Energy dependence of selfsimilarity truncation in a system of weakly coupled dissipative oscillators relevant for biological systems. Fizika A [Internet]. 2001 [cited 2024 November 14];10(3):95-104. Available at: https://urn.nsk.hr/urn:nbn:hr:217:871674

V. Paar, N. Pavin and M. Rosandić, "Energy dependence of selfsimilarity truncation in a system of weakly coupled dissipative oscillators relevant for biological systems", Fizika A, vol. 10, no. 3, pp. 95-104, 2001. [Online]. Available at: https://urn.nsk.hr/urn:nbn:hr:217:871674. [Accessed: 14 November 2024]

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Metadata
Title (english)Energy dependence of selfsimilarity truncation in a system of weakly coupled dissipative oscillators relevant for biological systems
AuthorVladimir Paar
AuthorNenad Pavin
AuthorMarija Rosandić
Author's institutionUniversity of Zagreb
Faculty of Science
(Department of Physics)
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract (english)
Biological fractals are truncated, i.e., their selfsimilarity extends at most over a few orders of magnitude of separation. In J. Theor. Biology 212 (2001) p. 47, we have shown that the nonlinear coupled oscillators, modeling one of the basic features of biological systems, may generate truncated fractals: a truncated fractal pattern for basin boundaries appears in a simple mathematical model of two coupled nonlinear oscillators with weak dissipation. We show here that the degree of truncation decreases with increasing energy. We point out that at the level of a sufficiently fine precision technique, the truncated fractality acts as a smooth (nonfractal) structure, leading to predictability, but at a lower level of precision it is effectively fractal, limiting the predictability of the long term behaviour of biological systems. Consequently, a possible erratic nature of the system's behaviour due to truncated fractality may disappear once the experimental errors in the measurement and/or treatment of biological system reaches a certain level of precision. We point out a possible significance of this result for the biological control of processes.
Keywords (english)
Languageenglish
Publication typeScientific paper - Original scientific paper
Publication statusPublished
Peer reviewPeer review
Publication versionPublished version
Journal titleFizika A
Numberingvol. 10, no. 3, pp. 95-104
p-ISSN1330-0008
URN:NBNurn:nbn:hr:217:871674
Publication2001
Document URLhttp://fizika.hfd.hr/fizika_a/av01/a10p095.htm
Type of resourceText
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2019-10-11 14:40:49