A new class of scale free solutions to linear ordinary differential equations and the universality of the golden mean \((\sqrt 5-1)/2=0.618033\dots \)

DOI10.1016/S0960-0779(02)00515-5zbMath1103.34304arXivnlin/0209023OpenAlexW2112780088MaRDI QIDQ1416204

Dhurjati Prasad Datta

Publication date: 14 December 2003

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0209023

Mathematics Subject Classification ID

Foundations of equilibrium statistical mechanics (82B03) General theory for ordinary differential equations (34A99)

Related Items (5)

Dynamical real numbers and living systems ⋮ On a connection between the VAK, knot theory and El Naschie's theory of the mass spectrum of the high energy elementary particles ⋮ Ultrametric Cantor sets and growth of measure ⋮ Higher derivative discontinuous solutions to linear ordinary differential equations: a new route to complexity? ⋮ SCALE-FREE ANALYSIS AND THE PRIME NUMBER THEOREM

Cites Work

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• Fractal space-time and the statistical mechanics of random walks.
• On numbers, probability and dimensions.
• The golden mean in quantum geometry, knot theory and related topics
• Banach-Tarski theorem and Cantorian micro space-time
• Non-standard analysis

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