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Fractals from Regular Behaviours [PDF]
Logical Methods in Computer ScienceWe forge connections between the theory of fractal sets obtained as attractors of iterated function systems and process calculi. To this end, we reinterpret Milner's expressions for processes as contraction operators on a complete metric space.
Todd Schmid +2 more
doaj +1 more source
Cyclic Olefin Copolymers as Versatile Materials for Advanced Engineering Applications
Advanced Functional Materials, EarlyView.Cyclic olefin copolymers (COCs) are presented as highly versatile materials combining tunable synthesis, excellent optical properties, and mechanical robustness. Their potential spans microfluidics, bioengineering, and advanced electronics, while emerging self‐healing and sustainable solutions highlight future opportunities.
Giulia Fredi +3 more
wiley +1 more source
Fractal structures of normal and anomalous diffusion in nonlinear nonhyperbolic dynamical systems
, 2002 A paradigmatic nonhyperbolic dynamical system exhibiting deterministic diffusion is the smooth nonlinear climbing sine map. We find that this map generates fractal hierarchies of normal and anomalous diffusive regions as functions of the control ...
Klages, R., Korabel, N.
core +1 more source
Historical Foundation and Practical Guideline for Ferroelectric Switching Kinetic Studies
Advanced Functional Materials, EarlyView.The P and U pulses in the conventional PUND measurements are not identical because of the interplay between switching current and the measurement circuit components. This circuit effect can lead to a shift in polarization transients and misinterpreted physics in the switching kinetics.
Yi Liang, Pat Kezer, John T. Heron
wiley +1 more source
Maxwell’s Equations on Cantor Sets: A Local Fractional Approach
Advances in High Energy Physics, 2013 Maxwell’s equations on Cantor sets are derived from the local fractional vector calculus. It is shown that Maxwell’s equations on Cantor sets in a fractal bounded domain give efficiency and accuracy for describing the fractal electric and magnetic fields.
Yang Zhao +4 more
doaj +1 more source
Atomic Scale Fractal Dimensionality in Proteins
, 2002 The soft condensed matter of biological organisms exhibits atomic motions whose properties depend strongly on temperature and hydration conditions. Due to the superposition of rapidly fluctuating alternative motions at both very low temperatures (quantum
Allan Widom, Duccio Medini, Lehnert U.
core +1 more source
Fluorescent Nanosensor for Indole‐3‐Propionic Acid Detection in Gut Health Monitoring
Advanced Healthcare Materials, EarlyView.This work introduces a fluorescent nanosensor system with two optical modalities for detection of indole‐3‐propionic acid (IPA) gut metabolite: (1) blue‐emitting cationic conjugated polyelectrolyte (CP3) and (2) near‐infrared (NIR)‐emitting CP3‐wrapped single‐walled carbon nanotube (SWNT).
Mervin Chun‐Yi Ang +15 more
wiley +1 more source
Scale-Free Fractal Interpolation
Fractal and Fractional, 2022 An iterated function system that defines a fractal interpolation function, where ordinate scaling is replaced by a nonlinear contraction, is investigated here.
María A. Navascués +2 more
doaj +1 more source
Stochastic Weighted Fractal Networks [PDF]
, 2010 In this paper we introduce new models of complex weighted networks sharing several properties with fractal sets: the deterministic non-homogeneous weighted fractal networks and the stochastic weighted fractal networks.
Carletti, Timoteo
core +1 more source
Computing fractal dimension in supertransient systems directly, fast and reliable
, 2006 Chaotic transients occur in many experiments including those in fluids, in simulations of the plane Couette flow, and in coupled map lattices and they are a common phenomena in dynamical systems. Superlong chaotic transients are caused by the presence of
H. E Nusse +5 more
core +1 more source