Chaos Quarter

Download Chaos Quarter PDF Online Free

Author :
Publisher : 47North
ISBN 13 : 9781477827208
Total Pages : 0 pages
Book Rating : 4.8/5 (272 download)

DOWNLOAD NOW!


Book Synopsis Chaos Quarter by : David Welch

Download or read book Chaos Quarter written by David Welch and published by 47North. This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: For over five hundred years, humanity has sprawled across the galaxy, forming fractious empires and deadly regions of lawless space. In the midst of brewing tensions, disgraced pilot Rex Vahl is tapped for a suicide mission: infiltrate an interplanetary power known only as the "Hegemony" and discover what hides behind their veil of secrecy. What does Rex have on his side? His co-pilot is a former prostitute with tiger-striped skin. His gunner is a traitorous ex-nobleman wanted by his countrymen. His engineer is a laid-back cyborg exiled for asking one too many questions about God. Add in a woman genetically engineered to have no free will, and you get his motley crew. Armed with only a souped-up freighter, Rex blasts off to pursue rumors of a mysterious Hegemony ambassador on the planet of Cordelia. To get there, he and his crew must cross the Chaos Quarter, a tumultuous territory defined by tyrants, pirates, and religious extremists. Even if they survive the journey, the ambassador could prove deadlier than any enemy they face along the way. But when Rex discovers that the Empire of Europa--the Commonwealth's greatest foe--has agents skulking in the shadows, he realizes his mission is no longer a secret. And if he secures his prize now, the intergalactic fallout could unleash the most deadly war the galaxy has ever seen. Revised edition: Previously published, this edition of Chaos Quarter includes editorial revisions.

Proceedings of the 2nd Experimental Chaos Conference

Download Proceedings of the 2nd Experimental Chaos Conference PDF Online Free

Author :
Publisher : World Scientific
ISBN 13 : 981455152X
Total Pages : 380 pages
Book Rating : 4.8/5 (145 download)

DOWNLOAD NOW!


Book Synopsis Proceedings of the 2nd Experimental Chaos Conference by : W Ditto

Download or read book Proceedings of the 2nd Experimental Chaos Conference written by W Ditto and published by World Scientific. This book was released on 1995-02-23 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 2nd experimental chaos conference provided a multidisciplinary forum for the scientific and engineering communities to present recent developments of and techniques in nonlinear dynamics. Major themes included control, synchronization, signal detection/characterization and communication. Major fields of interest included lasers, fluids, magnetics, electronics, chemically reacting fluids, cardiology, neurobiology and environmental sciences. Contents:Experimental Studies of Chaotic Mixing (J M Ottino et al)Using Random Maps in the Analysis of Experimental Fluid Flows (J C Sommerer)Chaos, Patterns and Defects in Stimulated Scattering Phenomena (R G Harrison)Test of the Normal Form for a Subcritical Bifurcation (K Wiesenfeld et al)Controlling Symbolic Dynamics for Communication (S Hayes et al)Control of Chaos in a CO2 Laser (J M Perez et al)Transition from Soliton to Chaotic Motion During the Impact of a Nonlinear Structure (M A Davies & F C Moon)Sonoluminescence in a Single Bubble: Periodic, Quasiperiodic and Chaotic Light Source (R G Holt et al)Quantum Chaos Experiments Using Microwave Cavities (A Kudrolli & S Sridhar)When Small Noise Imposed on Deterministic Dynamics Becomes Important (M Franaszek & L Fronzoni)Chaos Control for Cardiac Arrhythmias (J N Weiss et al)Broad-Band Synchronization in Monkey Neocortex (S L Bressler et al)Applicability of Correlation Dimension Calculations to Blood Pressure Signal in Rats (Y Almog et al)Tests for Deterministic Chaos in Noisy Time Series (T Chang et al)The Crayfish Mechanoreceptor Cell: A Biological Example of Stochastic Resonance (E Pantazelou et al)Chaos During Heterogeneous Chemical Reactions (J L Hudson)Stabilizing and Tracking Unstable Periodic Orbits and Stationary States in Chemical Systems (V Petrov et al)Recursive Proportional-Feedback and Its Use to Control Chaos in an Electrochemical System (P Parmananda et al)Temperature Patterns on Catalytic Surfaces (D Luss)and other papers Readership: Physicists, mathematicians, engineers, biologists and chemists.keywords:

The Brighter Side of European Chaos

Download The Brighter Side of European Chaos PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.F/5 ( download)

DOWNLOAD NOW!


Book Synopsis The Brighter Side of European Chaos by : Vernon Bartlett

Download or read book The Brighter Side of European Chaos written by Vernon Bartlett and published by . This book was released on 1925 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Chaos

Download Chaos PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3642592813
Total Pages : 620 pages
Book Rating : 4.6/5 (425 download)

DOWNLOAD NOW!


Book Synopsis Chaos by : Kathleen Alligood

Download or read book Chaos written by Kathleen Alligood and published by Springer. This book was released on 2012-12-06 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: BACKGROUND Sir Isaac Newton hrought to the world the idea of modeling the motion of physical systems with equations. It was necessary to invent calculus along the way, since fundamental equations of motion involve velocities and accelerations, of position. His greatest single success was his discovery that which are derivatives the motion of the planets and moons of the solar system resulted from a single fundamental source: the gravitational attraction of the hodies. He demonstrated that the ohserved motion of the planets could he explained hy assuming that there is a gravitational attraction he tween any two ohjects, a force that is proportional to the product of masses and inversely proportional to the square of the distance between them. The circular, elliptical, and parabolic orhits of astronomy were v INTRODUCTION no longer fundamental determinants of motion, but were approximations of laws specified with differential equations. His methods are now used in modeling motion and change in all areas of science. Subsequent generations of scientists extended the method of using differ ential equations to describe how physical systems evolve. But the method had a limitation. While the differential equations were sufficient to determine the behavior-in the sense that solutions of the equations did exist-it was frequently difficult to figure out what that behavior would be. It was often impossible to write down solutions in relatively simple algebraic expressions using a finite number of terms. Series solutions involving infinite sums often would not converge beyond some finite time.

Sales Chaos

Download Sales Chaos PDF Online Free

Author :
Publisher : John Wiley & Sons
ISBN 13 : 1118064291
Total Pages : 257 pages
Book Rating : 4.1/5 (18 download)

DOWNLOAD NOW!


Book Synopsis Sales Chaos by : Tim Ohai

Download or read book Sales Chaos written by Tim Ohai and published by John Wiley & Sons. This book was released on 2011-04-27 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: What if chaos is good? What if random complexity is not the enemy, but a competitive asset instead? Could it be possible to thrive in the chaos, to actually harness it during your sales conversations? Sales Chaos is a groundbreaking book that outlines a new paradigm that applies the latest research and the scientific principles of chaos theory to the challenges facing today's sales professional. The result of this philosophy creates a whole new approach to business, one in which sales conversations are driven by relevance, not simple activity. It's called Agility Selling. Agility Selling is not a sales technique. Nor is it a sales process. While techniques and processes have value, Agility Selling is bigger than that. It is a genuinely fresh approach to selling, birthed by chaos and grounded in science. Agility Selling is a methodology designed to help you identify repeatable and predictable patterns in the complex world of selling so that you can consistently be more relevant than your competition and create more value for your clients. It doesn't matter if you are new to sales or a seasoned professional; Sales Chaos provides the key information any seller should know to turn the scientific theory of Agility Selling into more relevant sales conversations and bottom-line sales results. Learn more about the practices behind the book at www.saleschaos.com

Recent Progress in Controlling Chaos

Download Recent Progress in Controlling Chaos PDF Online Free

Author :
Publisher :
ISBN 13 : 9814466034
Total Pages : pages
Book Rating : 4.8/5 (144 download)

DOWNLOAD NOW!


Book Synopsis Recent Progress in Controlling Chaos by :

Download or read book Recent Progress in Controlling Chaos written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Chaos, Catastrophe, and Human Affairs

Download Chaos, Catastrophe, and Human Affairs PDF Online Free

Author :
Publisher : Psychology Press
ISBN 13 : 1134787855
Total Pages : 495 pages
Book Rating : 4.1/5 (347 download)

DOWNLOAD NOW!


Book Synopsis Chaos, Catastrophe, and Human Affairs by : Stephen J. Guastello

Download or read book Chaos, Catastrophe, and Human Affairs written by Stephen J. Guastello and published by Psychology Press. This book was released on 2013-05-13 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: Whether talking about steering a wheelbarrow over rugged terrain or plotting the course of international relations, human performance systems involve change. Sometimes changes are subtle or evolutionary, sometimes they are catastrophic or revolutionary, and sometimes the changes are from periods of relative calm to periods of vibrant oscillations to periods of chaos. As a general rule, more complex systems are likely to produce more complex forms of change. Although social scientists have long acknowledged that change occurs and have considered ways to effect desirable change, the dynamical processes of change have been poorly understood in the past. This volume combines recent advances in mathematics and experimental design with the best available social science theories to produce a new, integrated, and compact theory of work, organizations, and social evolution. The domains of application extend from human decision-making processes to personnel selection and work motivation, work performance under conditions of stress, accident and health risk analysis, the development of social institutions and economic systems, creativity and innovation, organizational development and group dynamics, and political revolutions and war. Relative to other literature on nonlinear dynamical systems theory (NDS), this book is unique in that it integrates new developments in NDS with substantive psychological theory. It builds on many recent developments in organizational theory to show that nonlinear dynamics were often implicit in those works all along. The result is an entirely new way of viewing social events, understanding change processes, and asking questions about social systems. This book also contains much new empirical work and explains the newly developed methods for testing these new hypotheses.

The Psychology of Investing During the Chaotic Obama Years

Download The Psychology of Investing During the Chaotic Obama Years PDF Online Free

Author :
Publisher : Xlibris Corporation
ISBN 13 : 1462817076
Total Pages : 428 pages
Book Rating : 4.4/5 (628 download)

DOWNLOAD NOW!


Book Synopsis The Psychology of Investing During the Chaotic Obama Years by : Elior Kinarthy

Download or read book The Psychology of Investing During the Chaotic Obama Years written by Elior Kinarthy and published by Xlibris Corporation. This book was released on 2011-03-22 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Chaos and Fractals

Download Chaos and Fractals PDF Online Free

Author :
Publisher : Elsevier
ISBN 13 : 9780080528861
Total Pages : 452 pages
Book Rating : 4.5/5 (288 download)

DOWNLOAD NOW!


Book Synopsis Chaos and Fractals by : C.A. Pickover

Download or read book Chaos and Fractals written by C.A. Pickover and published by Elsevier. This book was released on 1998-08-03 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: These days computer-generated fractal patterns are everywhere, from squiggly designs on computer art posters to illustrations in the most serious of physics journals. Interest continues to grow among scientists and, rather surprisingly, artists and designers. This book provides visual demonstrations of complicated and beautiful structures that can arise in systems, based on simple rules. It also presents papers on seemingly paradoxical combinations of randomness and structure in systems of mathematical, physical, biological, electrical, chemical, and artistic interest. Topics include: iteration, cellular automata, bifurcation maps, fractals, dynamical systems, patterns of nature created through simple rules, and aesthetic graphics drawn from the universe of mathematics and art. Chaos and Fractals is divided into six parts: Geometry and Nature; Attractors; Cellular Automata, Gaskets, and Koch Curves; Mandelbrot, Julia and Other Complex Maps; Iterated Function Systems; and Computer Art. Additionally, information on the latest practical applications of fractals and on the use of fractals in commercial products such as the antennas and reaction vessels is presented. In short, fractals are increasingly finding application in practical products where computer graphics and simulations are integral to the design process. Each of the six sections has an introduction by the editor including the latest research, references, and updates in the field. This book is enhanced with numerous color illustrations, a comprehensive index, and the many computer program examples encourage reader involvement.

Topics On Chaotic Systems: Selected Papers From Chaos 2008 International Conference

Download Topics On Chaotic Systems: Selected Papers From Chaos 2008 International Conference PDF Online Free

Author :
Publisher : World Scientific
ISBN 13 : 9814468231
Total Pages : 436 pages
Book Rating : 4.8/5 (144 download)

DOWNLOAD NOW!


Book Synopsis Topics On Chaotic Systems: Selected Papers From Chaos 2008 International Conference by : Christos H Skiadas

Download or read book Topics On Chaotic Systems: Selected Papers From Chaos 2008 International Conference written by Christos H Skiadas and published by World Scientific. This book was released on 2009-05-13 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume includes the best papers presented at the CHAOS 2008 International Conference on Chaotic Modeling, Simulation and Applications. It provides a valuable collection of new ideas, methods, and techniques in the field of nonlinear dynamics, chaos, fractals and their applications in general science and in engineering sciences.It touches on many fields such as chaos, dynamical systems, nonlinear systems, fractals and chaotic attractors. It also covers mechanics, hydrofluid dynamics, chaos in meteorology and cosmology, Hamiltonian and quantum chaos, chaos in biology and genetics, chaotic control, and chaos in economy and markets, and chaotic simulations; thus, containing cutting-edge interdisciplinary research with high-interest applications.These contributions present new solutions by analyzing the relevant data and through the use of recent advances in different fields, especially in chaotic simulation methods and techniques.

Chaos

Download Chaos PDF Online Free

Author :
Publisher : Oxford University Press
ISBN 13 : 0192853783
Total Pages : 201 pages
Book Rating : 4.1/5 (928 download)

DOWNLOAD NOW!


Book Synopsis Chaos by : Leonard Smith

Download or read book Chaos written by Leonard Smith and published by Oxford University Press. This book was released on 2007-02-22 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to chaotic behavior dynamics describes its behavior in both science and the real world.

Chaos, Fractals and Complexity

Download Chaos, Fractals and Complexity PDF Online Free

Author :
Publisher : Springer Nature
ISBN 13 : 3031374045
Total Pages : 381 pages
Book Rating : 4.0/5 (313 download)

DOWNLOAD NOW!


Book Synopsis Chaos, Fractals and Complexity by : Tassos Bountis

Download or read book Chaos, Fractals and Complexity written by Tassos Bountis and published by Springer Nature. This book was released on 2023-10-23 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of proceedings contains research results within the framework of the fields of Chaos, Fractals and Complexity, written by experienced professors, young researchers, and applied scientists. It includes reviews of the fields, which are presented in an educational way for the widest possible audience, analytical results, computer simulations and experimental evidence, focusing on mathematical modelling. The papers presented here are selected from lectures given at the 28th Summer School “Dynamical Systems and Complexity”, July 18 – 27, 2022. Topics cover applications of complex systems in Neuroscience, Biology, Photonics, Seismology, Meteorology, and more broadly Physical and Engineering systems. The summer school has a long history, which began at the University of Patras in 1987 and continues with great success to this day. The original main purpose was to introduce young students and researchers of Greece to a new science that emerged several decades ago and continues to grow internationally at an ever increasing rate around the world.

Quarter-mile Chaos

Download Quarter-mile Chaos PDF Online Free

Author :
Publisher : Cartech
ISBN 13 : 9781932494259
Total Pages : 0 pages
Book Rating : 4.4/5 (942 download)

DOWNLOAD NOW!


Book Synopsis Quarter-mile Chaos by : Steve Reyes

Download or read book Quarter-mile Chaos written by Steve Reyes and published by Cartech. This book was released on 2006 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Quarter-Mile Chaos" looks at the treacherous side of drag racing's golden age. Almost 200 rare and stunning photographs from the late 1960s and early to mid 1970s capture terrifying fires, explosions, and crashes, all by-products of the quest to go faster. "Quarter-Mile Chaos" is full of up close and personal documentation of the perilous task of reaching the 1,320-foot mark first. Armed with just a couple cameras and some film, veteran drag racing photographer Steve Reyes shot some of the most dramatic and eye-catching pictures of these quarter-mile warriors. Reyes roamed the nation's hazardous strips in search of the perfect action photo. The result is some of the most breathtaking drag racing imagery ever recorded depicting out-of-control demolition and devastation during drag racing's most entertaining era.

The Transition to Chaos

Download The Transition to Chaos PDF Online Free

Author :
Publisher : Springer Nature
ISBN 13 : 3030635341
Total Pages : 555 pages
Book Rating : 4.0/5 (36 download)

DOWNLOAD NOW!


Book Synopsis The Transition to Chaos by : Linda Reichl

Download or read book The Transition to Chaos written by Linda Reichl and published by Springer Nature. This book was released on 2021-04-12 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on courses given at the universities of Texas and California, this book treats an active field of research that touches upon the foundations of physics and chemistry. It presents, in as simple a manner as possible, the basic mechanisms that determine the dynamical evolution of both classical and quantum systems in sufficient generality to include quantum phenomena. The book begins with a discussion of Noether's theorem, integrability, KAM theory, and a definition of chaotic behavior; continues with a detailed discussion of area-preserving maps, integrable quantum systems, spectral properties, path integrals, and periodically driven systems; and concludes by showing how to apply the ideas to stochastic systems. The presentation is complete and self-contained; appendices provide much of the needed mathematical background, and there are extensive references to the current literature; while problems at the ends of chapters help students clarify their understanding. This new edition has an updated presentation throughout, and a new chapter on open quantum systems.

Quantum Chaos and Mesoscopic Systems

Download Quantum Chaos and Mesoscopic Systems PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9401587922
Total Pages : 350 pages
Book Rating : 4.4/5 (15 download)

DOWNLOAD NOW!


Book Synopsis Quantum Chaos and Mesoscopic Systems by : N.E. Hurt

Download or read book Quantum Chaos and Mesoscopic Systems written by N.E. Hurt and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: 4. 2 Variance of Quantum Matrix Elements. 125 4. 3 Berry's Trick and the Hyperbolic Case 126 4. 4 Nonhyperbolic Case . . . . . . . 128 4. 5 Random Matrix Theory . . . . . 128 4. 6 Baker's Map and Other Systems 129 4. 7 Appendix: Baker's Map . . . . . 129 5 Error Terms 133 5. 1 Introduction. . . . . . . . . . . . . . . . . . . . . . . 133 5. 2 The Riemann Zeta Function in Periodic Orbit Theory 135 5. 3 Form Factor for Primes . . . . . . . . . . . . . . . . . 137 5. 4 Error Terms in Periodic Orbit Theory: Co-compact Case. 138 5. 5 Binary Quadratic Forms as a Model . . . . . . . . . . . . 139 6 Co-Finite Model for Quantum Chaology 141 6. 1 Introduction. . . . . . . . 141 6. 2 Co-finite Models . . . . . 141 6. 3 Geodesic Triangle Spaces 144 6. 4 L-Functions. . . . . . . . 145 6. 5 Zelditch's Prime Geodesic Theorem. 146 6. 6 Zelditch's Pseudo Differential Operators 147 6. 7 Weyl's Law Generalized 148 6. 8 Equidistribution Theory . . . . . . . . . 150 7 Landau Levels and L-Functions 153 7. 1 Introduction. . . . . . . . . . . . . . . . . . . . . . . 153 7. 2 Landau Model: Mechanics on the Plane and Sphere. 153 7. 3 Landau Model: Mechanics on the Half-Plane 155 7. 4 Selberg's Spectral Theorem . . . . . . . . . . . 157 7. 5 Pseudo Billiards . . . . . . . . . . . . . . . . . 158 7. 6 Landau Levels on a Compact Riemann Surface 159 7. 7 Automorphic Forms . . . . . 160 7. 8 Maass-Selberg Trace Formula 162 7. 9 Degeneracy by Selberg. . . . 163 7. 10 Hecke Operators . . . . . . . 163 7. 11 Selberg Trace Formula for Hecke Operators 167 7. 12 Eigenvalue Statistics on X . . . . 169 7. 13 Mesoscopic Devices. . . . . . . . 170 7. 14 Hall Conductance on Leaky Tori 170 7.

Chaos

Download Chaos PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3034806973
Total Pages : 281 pages
Book Rating : 4.0/5 (348 download)

DOWNLOAD NOW!


Book Synopsis Chaos by : Bertrand Duplantier

Download or read book Chaos written by Bertrand Duplantier and published by Springer Science & Business Media. This book was released on 2013-11-26 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This twelfth volume in the Poincaré Seminar Series presents a complete and interdisciplinary perspective on the concept of Chaos, both in classical mechanics in its deterministic version, and in quantum mechanics. This book expounds some of the most wide ranging questions in science, from uncovering the fingerprints of classical chaotic dynamics in quantum systems, to predicting the fate of our own planetary system. Its seven articles are also highly pedagogical, as befits their origin in lectures to a broad scientific audience. Highlights include a complete description by the mathematician É. Ghys of the paradigmatic Lorenz attractor, and of the famed Lorenz butterfly effect as it is understood today, illuminating the fundamental mathematical issues at play with deterministic chaos; a detailed account by the experimentalist S. Fauve of the masterpiece experiment, the von Kármán Sodium or VKS experiment, which established in 2007 the spontaneous generation of a magnetic field in a strongly turbulent flow, including its reversal, a model of Earth’s magnetic field; a simple toy model by the theorist U. Smilansky – the discrete Laplacian on finite d-regular expander graphs – which allows one to grasp the essential ingredients of quantum chaos, including its fundamental link to random matrix theory; a review by the mathematical physicists P. Bourgade and J.P. Keating, which illuminates the fascinating connection between the distribution of zeros of the Riemann ζ-function and the statistics of eigenvalues of random unitary matrices, which could ultimately provide a spectral interpretation for the zeros of the ζ-function, thus a proof of the celebrated Riemann Hypothesis itself; an article by a pioneer of experimental quantum chaos, H-J. Stöckmann, who shows in detail how experiments on the propagation of microwaves in 2D or 3D chaotic cavities beautifully verify theoretical predictions; a thorough presentation by the mathematical physicist S. Nonnenmacher of the “anatomy” of the eigenmodes of quantized chaotic systems, namely of their macroscopic localization properties, as ruled by the Quantum Ergodic theorem, and of the deep mathematical challenge posed by their fluctuations at the microscopic scale; a review, both historical and scientific, by the astronomer J. Laskar on the stability, hence the fate, of the chaotic Solar planetary system we live in, a subject where he made groundbreaking contributions, including the probabilistic estimate of possible planetary collisions. This book should be of broad general interest to both physicists and mathematicians.

The Essence Of Chaos

Download The Essence Of Chaos PDF Online Free

Author :
Publisher : CRC Press
ISBN 13 : 0203214587
Total Pages : 236 pages
Book Rating : 4.2/5 (32 download)

DOWNLOAD NOW!


Book Synopsis The Essence Of Chaos by : Flavio Lorenzelli

Download or read book The Essence Of Chaos written by Flavio Lorenzelli and published by CRC Press. This book was released on 2003-09-02 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of chaotic systems has become a major scientific pursuit in recent years, shedding light on the apparently random behaviour observed in fields as diverse as climatology and mechanics. InThe Essence of Chaos Edward Lorenz, one of the founding fathers of Chaos and the originator of its seminal concept of the Butterfly Effect, presents his own landscape of our current understanding of the field. Lorenz presents everyday examples of chaotic behaviour, such as the toss of a coin, the pinball's path, the fall of a leaf, and explains in elementary mathematical strms how their essentially chaotic nature can be understood. His principal example involved the construction of a model of a board sliding down a ski slope. Through this model Lorenz illustrates chaotic phenomena and the related concepts of bifurcation and strange attractors. He also provides the context in which chaos can be related to the similarly emergent fields of nonlinearity, complexity and fractals. As an early pioneer of chaos, Lorenz also provides his own story of the human endeavour in developing this new field. He describes his initial encounters with chaos through his study of climate and introduces many of the personalities who contributed early breakthroughs. His seminal paper, "Does the Flap of a Butterfly's Wing in Brazil Set Off a Tornado in Texas?" is published for the first time.