Strange Attractors: Creating Patterns in Chaos
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Research on the Digitial Image Based on Hyper-Chaotic And
Research on digital image watermark encryption based on hyperchaos Item Type Thesis or dissertation Authors Wu, Pianhui Publisher University of Derby Download date 27/09/2021 09:45:19 Link to Item http://hdl.handle.net/10545/305004 UNIVERSITY OF DERBY RESEARCH ON DIGITAL IMAGE WATERMARK ENCRYPTION BASED ON HYPERCHAOS Pianhui Wu Doctor of Philosophy 2013 RESEARCH ON DIGITAL IMAGE WATERMARK ENCRYPTION BASED ON HYPERCHAOS A thesis submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy By Pianhui Wu BSc. MSc. Faculty of Business, Computing and Law University of Derby May 2013 To my parents Acknowledgements I would like to thank sincerely Professor Zhengxu Zhao for his guidance, understanding, patience and most importantly, his friendship during my graduate studies at the University of Derby. His mentorship was paramount in providing a well-round experience consistent with my long-term career goals. I am grateful to many people in Faculty of Business, Computing and Law at the University of Derby for their support and help. I would also like to thank my parents, who have given me huge support and encouragement. Their advice is invaluable. An extra special recognition to my sister whose love and aid have made this thesis possible, and my time in Derby a colorful and wonderful experience. I Glossary AC Alternating Current AES Advanced Encryption Standard CCS Combination Coordinate Space CWT Continue Wavelet Transform BMP Bit Map DC Direct Current DCT Discrete Cosine Transform DWT Discrete Wavelet Transform -
The Implications of Fractal Fluency for Biophilic Architecture
JBU Manuscript TEMPLATE The Implications of Fractal Fluency for Biophilic Architecture a b b a c b R.P. Taylor, A.W. Juliani, A. J. Bies, C. Boydston, B. Spehar and M.E. Sereno aDepartment of Physics, University of Oregon, Eugene, OR 97403, USA bDepartment of Psychology, University of Oregon, Eugene, OR 97403, USA cSchool of Psychology, UNSW Australia, Sydney, NSW, 2052, Australia Abstract Fractals are prevalent throughout natural scenery. Examples include trees, clouds and coastlines. Their repetition of patterns at different size scales generates a rich visual complexity. Fractals with mid-range complexity are particularly prevalent. Consequently, the ‘fractal fluency’ model of the human visual system states that it has adapted to these mid-range fractals through exposure and can process their visual characteristics with relative ease. We first review examples of fractal art and architecture. Then we review fractal fluency and its optimization of observers’ capabilities, focusing on our recent experiments which have important practical consequences for architectural design. We describe how people can navigate easily through environments featuring mid-range fractals. Viewing these patterns also generates an aesthetic experience accompanied by a reduction in the observer’s physiological stress-levels. These two favorable responses to fractals can be exploited by incorporating these natural patterns into buildings, representing a highly practical example of biophilic design Keywords: Fractals, biophilia, architecture, stress-reduction, -
Catalog INTERNATIONAL
اﻟﻤﺆﺗﻤﺮ اﻟﻌﺎﻟﻤﻲ اﻟﻌﺸﺮون ﻟﺪﻋﻢ اﻻﺑﺘﻜﺎر ﻓﻲ ﻣﺠﺎل اﻟﻔﻨﻮن واﻟﺘﻜﻨﻮﻟﻮﺟﻴﺎ The 20th International Symposium on Electronic Art Ras al-Khaimah 25.7833° North 55.9500° East Umm al-Quwain 25.9864° North 55.9400° East Ajman 25.4167° North 55.5000° East Sharjah 25.4333 ° North 55.3833 ° East Fujairah 25.2667° North 56.3333° East Dubai 24.9500° North 55.3333° East Abu Dhabi 24.4667° North 54.3667° East SE ISEA2014 Catalog INTERNATIONAL Under the Patronage of H.E. Sheikha Lubna Bint Khalid Al Qasimi Minister of International Cooperation and Development, President of Zayed University 30 October — 8 November, 2014 SE INTERNATIONAL ISEA2014, where Art, Science, and Technology Come Together vi Richard Wheeler - Dubai On land and in the sea, our forefathers lived and survived in this environment. They were able to do so only because they recognized the need to conserve it, to take from it only what they needed to live, and to preserve it for succeeding generations. Late Sheikh Zayed bin Sultan Al Nahyan viii ZAYED UNIVERSITY Ed unt optur, tet pla dessi dis molore optatiist vendae pro eaqui que doluptae. Num am dis magnimus deliti od estem quam qui si di re aut qui offic tem facca- tiur alicatia veliqui conet labo. Andae expeliam ima doluptatem. Estis sandaepti dolor a quodite mporempe doluptatus. Ustiis et ium haritatur ad quaectaes autemoluptas reiundae endae explaboriae at. Simenis elliquide repe nestotae sincipitat etur sum niminctur molupta tisimpor mossusa piendem ulparch illupicat fugiaep edipsam, conecum eos dio corese- qui sitat et, autatum enimolu ptatur aut autenecus eaqui aut volupiet quas quid qui sandaeptatem sum il in cum sitam re dolupti onsent raeceperion re dolorum inis si consequ assequi quiatur sa nos natat etusam fuga. -
Beauty Visible and Divine
BEAUTY VISIBLE AND DIVINE Robert Augros Contemporary artists have, in great measure, abandoned the quest for beauty. Critic Anthony O'Hear points out that the arts today "are aiming at other things ... which, by and large, are incompatible with beauty." 1 Some artists contend it is the duty of art to proclaim the alienation, nihilism, despair, and meaninglessness of modern life. They see cultivation of beauty as hypocritical, preferring to shock and disgust the pub lic with scatological, pornographic, or blasphemous works. Others have politicized their art to such an extent that they no longer concern themselves with beauty or excellence but only with propagandizing the cause. Others consider most important in a work not what is perceptible by the audience but the abstract theory it represents. This yields, among other things, the unrelieved dissonance of atonal music, never pop ular with concert-goers, and the ugliness of much of modern architecture. Virgil Aldrich asserts that the "beautiful has, for good reasons, been discarded by careful critics."2 Reflecting on the motives for eliminating beauty in recent art, Arthur Robert M. Augros has a Ph.D. in philosophy from Universite Laval. He is currently a tenured full professor in his thirty-fourth year at Saint Ansehn College, Manchester, N.H. Dr. Augros has written numerous articles for professional journals and has co-authored two books: The New Story of Sdence and The New Biology (Principle Source Publisher, 2004). 1 Anthony O'Hear, "Prospects for Beauty" in The Journal of the Royal Institute of Philosophy 2001; 48 (Supp.), 176. 2 Virgil C. -
M. C. Escher's Association with Scientists
BRIDGES Mathematical Connections in Art, Music, and Science M. C. Escher's Association with Scientists J. Taylor Hollist Department of Mathematical Sciences State University of New York Oneonta, NY 13820-4015 E-mail: [email protected] Abstract Mathematicians, crystallographers, engineers, chemists, and physicists were among the first admirers of Escher's graphic art. Escher felt closer to people in the physical sciences than he did to his fellow artists because of the praise he received from them. Some of Escher's artwork was done more like an engineering project using ruler and comPass than in a free spirit mode. Mathematicians continue to promote his work, and they continue to use his periodic patterns of animal figures as clever illustrations of symmetry. Introduction For more than 40 years, scientists have been impressed with the graphic art of M. C. Escher, recognizing with fascination the laws of physics contained within his work. Psychologists use his optical illusions and distorted views of life as enchanting examples in the study of vision. Mathematicians continue to use his periodic patterns of animal figures as clever illustrations of translation, rotation and reflection symmetry. Escher's visual images relate directly to many scientific and mathematical principles. Some of his drawings give visual examples of the infinite process. Many scientists see in his work visual metaphors of their scientific theories. My interest in Escher stems from my many years of teaching geometry and the fact that some of Escher's work gives excellent examples of translation. symmetry, rotational symmetry, glide reflection symmetry, and line reflection symmetry. Also, some of his work relates to models in non-Euclidean geometry. -
HONR229P: Mathematics and Art
HONR229P: Mathematics and Art Fall 2004 Professor: Niranjan Ramachandran 4115 Mathematics Building, 5-5080, [email protected] Office Hours: Tuesdays 2pm - 4pm. Class meets Tuesdays and Thursdays 12:30pm-1:45pm in Math Building 0401. Course page: www.math.umd.edu/~atma/Doc1.htm Course description: The aim of this course is to introduce students to the interactions, interrelations, and analogies between mathematics and art. Mathematicians (and scientists, in general) are in search of ideas, truth and beauty, not too different from artists. Our task will be to see the parallels between the viewpoints, the inspirations, the goals of (and the works produced by) artists and scientists. We shall begin with examples from history of art (such as the theory of perspective due to Leonardo da Vinci), works of art (such as Durer's Melancholia, Escher’s Waterfall), architecture (Parthenon, Le Corbusier) to illustrate the impact of mathematics on art. Of special interest to us will be the period of the Italian Renaissance and also the early part of the 20th century (the new viewpoint on space-time). The affinity of music with mathematics will also be explored (as in the music of Bach, or the foundations of tone, the role of harmony). We shall then talk about beauty in mathematics; this will be amply illustrated with examples from the history of mathematics. Emphasis will be put on the aesthetic aspect of things. We will even see how truth and beauty come together in a beautiful proof. All through the semester, we will be comparing and contrasting the two subjects. -
Projective Synchronization of Chaotic Systems Via Backstepping Design
International Journal of Applied Mathematical Research, 1 (4) (2012) 531-540 ©Science Publishing Corporation www.sciencepubco.com/index.php/IJBAS Projective Synchronization of Chaotic Systems Via Backstepping Design 1 Anindita Tarai (Poria), 2 Mohammad Ali Khan 1 Department of Mathematics, Aligunj R.R.B. High School Midnapore (West), West Bengal, India E-mail: [email protected] 2 Department of Mathematics, Garhbeta Ramsundar Vidyabhavan, Garhbeta, Midnapore (West), West Bengal, India E-mail: [email protected] Abstract Chaos synchronization of discrete dynamical systems are investigated. An algorithm is proposed for projective synchronization of chaotic 2D Duffing map and chaotic Tinkerbell map. The control law was derived from the Lyapunov stability theory. The numerical simulation results are presented to verify the effectiveness of the proposed algorithm Keywords: Lyapunov function, Projective synchronization, Backstepping Design, Duffing map and Tinkerbell map. 1 Introduction Adjacent chaotic trajectories governed by the same nonlinear systems may evolve into a state utterly uncorrelated, but in 1990 Pecora and Carrol [1] shown that it could be synchronized through a proper coupling. Since their seminal paper in 1990, chaos synchronization is an interesting research topic of great attention. Hayes et.al. (1993)[2] have studied to some potential applications in secure communication. Blasius et.al. [3] have observed complex dynamics and phase synchronization in spatially extended ecological systems in 1999 and system identification was investigated by Kocarev et.al. in 1996 [4]. Different forms of synchronization phenomena have been observed in a variety of chaotic systems, such as identical synchronization [1]. In 1996 Rosenblum et.al. [5] have studied phase synchronization of chaotic oscillators. -
Optical Illusion - Wikipedia, the Free Encyclopedia
Optical illusion - Wikipedia, the free encyclopedia Try Beta Log in / create account article discussion edit this page history [Hide] Wikipedia is there when you need it — now it needs you. $0.6M USD $7.5M USD Donate Now navigation Optical illusion Main page From Wikipedia, the free encyclopedia Contents Featured content This article is about visual perception. See Optical Illusion (album) for Current events information about the Time Requiem album. Random article An optical illusion (also called a visual illusion) is characterized by search visually perceived images that differ from objective reality. The information gathered by the eye is processed in the brain to give a percept that does not tally with a physical measurement of the stimulus source. There are three main types: literal optical illusions that create images that are interaction different from the objects that make them, physiological ones that are the An optical illusion. The square A About Wikipedia effects on the eyes and brain of excessive stimulation of a specific type is exactly the same shade of grey Community portal (brightness, tilt, color, movement), and cognitive illusions where the eye as square B. See Same color Recent changes and brain make unconscious inferences. illusion Contact Wikipedia Donate to Wikipedia Contents [hide] Help 1 Physiological illusions toolbox 2 Cognitive illusions 3 Explanation of cognitive illusions What links here 3.1 Perceptual organization Related changes 3.2 Depth and motion perception Upload file Special pages 3.3 Color and brightness -
Spatial Realization of Escher's Impossible World
Asia Pacific Mathematics Newsletter Spatial Realization of Escher’s Impossible World Kokichi Sugihara Abstract— M. C. Escher, a Dutch artist, created a series of endless loop of stairs can be realized as a solid model, as shown in lithographs presenting “impossible” objects and “impossible” Fig. 1 [17], [18]. We call this trick the “non-rectangularity trick”, motions. Although they are usually called “impossible”, some because those solid objects have non-rectangular face angles that of them can be realized as solid objects and physical motions in look rectangular. the three-dimensional space. The basic idea for these realizations is to use the degrees of freedom in the reconstruction of solids from pictures. First, the set of all solids represented by a given picture is represented by a system of linear equations and inequalities. Next the distribution of the freedom is characterized by a matroid extracted from this system. Then, a robust method for reconstructing solids is constructed and applied to the spatial realization of the “impossible” world. I. INTRODUCTION There is a class of pictures called “anomalous pictures” or “pictures of impossible objects”. These pictures generate optical illusion; when we see them, we have impressions of three- (a) (b) dimensional object structures, but at the same time we feel that such objects are not realizable. The Penrose triangle [13] is one of the oldest such pictures. Since the discovery of this triangle, many pictures belonging to this class have been discovered and studied in the field of visual psychology [9], [14]. The pictures of impossible objects have also been studied from a mathematical point of view. -
65 Numerical Analysis
e Q (e t o 5 M SectionsSet 1Q (Section 65)MR September 2012 65 NUMERICAL ANALYSIS MR2918625 65-06 FRecent advances in scientific computing and matrix analysis. Proceedings of the International Workshop held at the University of Macau, Macau, December 28{30, 2009. Edited by Xiao-Qing Jin, Hai-Wei Sun and Seak-Weng Vong. International Press, Somerville, MA; Higher Education Press, Beijing, 2011. xii+126 pp. ISBN 978-1-57146-202-2 Contents: Zheng-jian Bai and Xiao-qing Jin [Xiao Qing Jin1], A note on the Ulm-like method for inverse eigenvalue problems (1{7) MR2908437; Che-man Cheng [Che-Man Cheng], Kin-sio Fong [Kin-Sio Fong] and Io-kei Lok [Io-Kei Lok], Another proof for commutators with maximal Frobenius norm (9{14) MR2908438; Wai-ki Ching [Wai-Ki Ching] and Dong-mei Zhu [Dong Mei Zhu1], On high-dimensional Markov chain models for categorical data sequences with applications (15{34) MR2908439; Yan-nei Law [Yan Nei Law], Hwee-kuan Lee [Hwee Kuan Lee], Chao-qiang Liu [Chaoqiang Liu] and Andy M. Yip, An additive variational model for image segmentation (35{48) MR2908440; Hai-yong Liao [Haiyong Liao] and Michael K. Ng, Total variation image restoration with automatic selection of regularization parameters (49{59) MR2908441; Franklin T. Luk and San-zheng Qiao [San Zheng Qiao], Matrices and the LLL algorithm (61{69) MR2908442; Mila Nikolova, Michael K. Ng and Chi-pan Tam [Chi-Pan Tam], A fast nonconvex nonsmooth minimization method for image restoration and reconstruction (71{83) MR2908443; Gang Wu [Gang Wu1], Eigenvalues of certain augmented complex stochastic matrices with applications to PageRank (85{92) MR2908444; Yan Xuan and Fu-rong Lin, Clenshaw-Curtis-rational quadrature rule for Wiener-Hopf equations of the second kind (93{110) MR2908445; Man-chung Yeung [Man-Chung Yeung], On the solution of singular systems by Krylov subspace methods (111{116) MR2908446; Qi- fang Yu, San-zheng Qiao [San Zheng Qiao] and Yi-min Wei, A comparative study of the LLL algorithm (117{126) MR2908447. -
Generalized Complexity Measures and Chaotic Maps B
Generalized complexity measures and chaotic maps B. Godó and Á. Nagy Citation: Chaos 22, 023118 (2012); doi: 10.1063/1.4705088 View online: http://dx.doi.org/10.1063/1.4705088 View Table of Contents: http://chaos.aip.org/resource/1/CHAOEH/v22/i2 Published by the American Institute of Physics. Related Articles On finite-size Lyapunov exponents in multiscale systems Chaos 22, 023115 (2012) Exact folded-band chaotic oscillator Chaos 22, 023113 (2012) Components in time-varying graphs Chaos 22, 023101 (2012) Impulsive synchronization of coupled dynamical networks with nonidentical Duffing oscillators and coupling delays Chaos 22, 013140 (2012) Dynamics and transport in mean-field coupled, many degrees-of-freedom, area-preserving nontwist maps Chaos 22, 013137 (2012) Additional information on Chaos Journal Homepage: http://chaos.aip.org/ Journal Information: http://chaos.aip.org/about/about_the_journal Top downloads: http://chaos.aip.org/features/most_downloaded Information for Authors: http://chaos.aip.org/authors CHAOS 22, 023118 (2012) Generalized complexity measures and chaotic maps B. Godo´ and A´ . Nagy Department of Theoretical Physics, University of Debrecen, H–4010 Debrecen, Hungary (Received 24 November 2011; accepted 5 April 2012; published online 24 April 2012) The logistic and Tinkerbell maps are studied with the recently introduced generalized complexity measure. The generalized complexity detects periodic windows. Moreover, it recognizes the intersection of periodic branches of the bifurcation diagram. It also reflects the fractal character of the chaotic dynamics. There are cases where the complexity plot shows changes that cannot be seen in the bifurcation diagram. VC 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4705088] ð Complexity is a key concept in modern science. -
A New Cost Function for Parameter Estimation of Chaotic Systems Using Return Maps As Fingerprints
October 20, 2014 16:12 WSPC/S0218-1274 1450134 International Journal of Bifurcation and Chaos, Vol. 24, No. 10 (2014) 1450134 (18 pages) c World Scientific Publishing Company DOI: 10.1142/S021812741450134X A New Cost Function for Parameter Estimation of Chaotic Systems Using Return Maps as Fingerprints Sajad Jafari∗ Department of Biomedical Engineering, Amirkabir University of Technology, 424 Hafez Ave., Tehran 15875–4413, Iran [email protected] Julien C. Sprott Department of Physics, University of Wisconsin–Madison, Madison, WI 53706, USA [email protected] Viet-Thanh Pham School of Electronics and Telecommunications, Hanoi University of Science and Technology, 01 Dai Co Viet, Hanoi, Vietnam [email protected] S. Mohammad Reza Hashemi Golpayegani Department of Biomedical Engineering, Amirkabir University of Technology, 424 Hafez Ave., Tehran 15875–4413, Iran [email protected] Amir Homayoun Jafari by Prof. Clint Sprott on 11/07/14. For personal use only. Department of Medical Physics and Biomedical Engineering, Tehran University of Medical Sciences, Tehran 14155–6447, Iran Int. J. Bifurcation Chaos 2014.24. Downloaded from www.worldscientific.com h [email protected] Received May 30, 2014 Estimating parameters of a model system using observed chaotic scalar time series data is a topic of active interest. To estimate these parameters requires a suitable similarity indicator between the observed and model systems. Many works have considered a similarity measure in the time domain, which has limitations because of sensitive dependence on initial conditions. On the other hand, there are features of chaotic systems that are not sensitive to initial conditions such as the topology of the strange attractor.