Journal ArticleDOI
Efficient fractal-based mutation in evolutionary algorithms from iterated function systems
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TLDR
A new mutation procedure for Evolutionary Programming (EP) approaches, based on Iterated Function Systems (IFSs), which consists of considering a set of IFS which are able to generate fractal structures in a two-dimensional phase space, and use them to modify a current individual of the EP algorithm, instead of using random numbers from different probability density functions.About:
This article is published in Communications in Nonlinear Science and Numerical Simulation.The article was published on 2018-03-01. It has received 5 citations till now. The article focuses on the topics: Mutation (genetic algorithm) & Evolutionary programming.read more
Citations
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Journal ArticleDOI
Trajectory control and image encryption using affine transformation of lorenz system
TL;DR: A generalization of chaotic systems using two-dimensional affine transformations with six introduced parameters to achieve scaling, reflection, rotation, translation and/or shearing so that the location of the strange attractor in space can be controlled without changing its chaotic dynamics.
Journal ArticleDOI
Hybrid L-systems–Diffusion Limited Aggregation schemes
Sancho Salcedo-Sanz,Lucas Cuadra +1 more
TL;DR: The most intuitive possibilities for hybridizing these systems are discussed: using L-Systems to guide DLA simulations, and embedding DLA schemes into L- system variables.
Journal ArticleDOI
Self-Reproducing Hidden Attractors in Fractional-Order Chaotic Systems Using Affine Transformations
Wafaa S. Sayed,Ahmed G. Radwan +1 more
TL;DR: In this paper, a unified approach for hidden attractors control in fractional-order chaotic systems is proposed, where a systematic coordinate affine transformation framework is utilized to construct transformed systems with self-reproducing attractors.
Journal ArticleDOI
Multi-fractal multi-resolution structures from DLA – Strange Attractors Hybrids
Sancho Salcedo-Sanz,Lucas Cuadra +1 more
TL;DR: This paper proposes and simulates novel multi-fractal, multi-resolution structures, which arise when hybrid schemes formed by Diffusion Limited Aggregation and Strange Attractors are considered, and describes an iteration of this process in order to generate hybrid superclusters, formed by clusters of DLA-SA hybrids.
Journal ArticleDOI
Recent Trends in Fractal Antenna Research for In-body Communications
TL;DR: A review of the recent trends and advancements in fractal antenna research, especially in the miniaturization of implantable antennas for in-body communications, is presented in this article .
References
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Book
The Fractal Geometry of Nature
TL;DR: This book is a blend of erudition, popularization, and exposition, and the illustrations include many superb examples of computer graphics that are works of art in their own right.
Journal ArticleDOI
The Fractal Geometry of Nature
TL;DR: A blend of erudition (fascinating and sometimes obscure historical minutiae abound), popularization (mathematical rigor is relegated to appendices) and exposition (the reader need have little knowledge of the fields involved) is presented in this article.
Journal ArticleDOI
Characterization of Strange Attractors
TL;DR: In this article, a measure of strange attractors is introduced which offers a practical algorithm to determine their character from the time series of a single observable, and the relation of this measure to fractal dimension and information-theoretic entropy is discussed.
Book
Chaos in dynamical systems
TL;DR: In the new edition of this classic textbook, the most important change is the addition of a completely new chapter on control and synchronization of chaos as mentioned in this paper, which will be of interest to advanced undergraduates and graduate students in science, engineering and mathematics taking courses in chaotic dynamics, as well as to researchers in the subject.
Journal ArticleDOI
Evolutionary programming made faster
Xin Yao,Yong Liu,Guangming Lin +2 more
TL;DR: A "fast EP" (FEP) is proposed which uses a Cauchy instead of Gaussian mutation as the primary search operator and is proposed and tested empirically, showing that IFEP performs better than or as well as the better of FEP and CEP for most benchmark problems tested.
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