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Robert C. Hilborn

Bio: Robert C. Hilborn is an academic researcher from American Association of Physics Teachers. The author has contributed to research in topics: Einstein coefficients & Dipole. The author has an hindex of 14, co-authored 37 publications receiving 4442 citations.

Papers
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Book
06 Jan 1994
TL;DR: The phenomenology of chaos Towards a theory of nonlinear dynamics and chaos Quantifying chaos Special topics Appendices Index
Abstract: First Edition Preface First Edition Acknowledgments Second Edition Preface Second Edition Acknowledgments I. THE PHENOMENOLOGY OF CHAOS 1. Three Chaotic Systems 2. The Universality of Chaos II. TOWARDS A THEORY OF NONLINEAR DYNAMICS AND CHAOS 3. Dynamics in State Space: One and Two Dimensions 4. Three-Dimensional State Space and Chaos 5. Iterated Maps 6. Quasi-Periodicity and Chaos 7. Intermittency and Crises 8. Hamiltonian Systems III.MEASURES OF CHAOS 9. Quantifying Chaos 10. Many Dimensions and Multifractals IV.SPECIAL TOPICS 11. Pattern Formation and Spatiotemporal Chaos 12. Quantum Chaos, The Theory of Complexity, and other Topics Appendix A: Fourier Power Spectra Appendix B: Bifurcation Theory Appendix C: The Lorenz Model Appendix D: The Research Literature on Chaos Appendix E: Computer Programs Appendix F: Theory of the Universal Feigenbaum Numbers Appendix G: The Duffing Double-Well Oscillator Appendix H: Other Universal Feature for One-Dimensional Iterated Maps Appendix I: The van der Pol Oscillator Appendix J: Simple Laser Dynamics Models References Bibliography Index

1,055 citations

Journal ArticleDOI
TL;DR: In this article, the relationships among various parameters describing the strength of optical transitions in atoms and molecules are reviewed and the application of these parameters to the description of the interaction between nearly monochromatic, directional light beams and atoms and molecule is given careful attention.
Abstract: The relationships among various parameters describing the strength of optical transitions in atoms and molecules are reviewed. The application of these parameters to the description of the interaction between nearly monochromatic, directional light beams and atoms and molecules is given careful attention. Common pitfalls in relating these parameters are pointed out.

600 citations

Posted Content
TL;DR: In this paper, the relationships among various parameters describing the strength of optical transitions in atoms and molecules are reviewed, and the application of these parameters to the description of the interaction between nearly monochromatic, directional light beams and atoms and molecular molecules is given careful attention.
Abstract: The relationships among various parameters describing the strength of optical transitions in atoms and molecules are reviewed. The application of these parameters to the description of the interaction between nearly monochromatic, directional light beams and atoms and molecules is given careful attention. Common pitfalls in relating these parameters are pointed out. This is a revised (February, 2002) version of a paper that originally appeared in Am. J. Phys. 50, 982-986 (1982).

510 citations

Journal ArticleDOI
TL;DR: The butterfly metaphor was predated by more than 70 years by the grasshopper effect as mentioned in this paper and has become a popular metaphor for sensitive dependence on initial conditions, the hallmark of chaotic behavior.
Abstract: The butterfly effect has become a popular metaphor for sensitive dependence on initial conditions—the hallmark of chaotic behavior. I describe how, where, and when this term was conceived in the 1970s. Surprisingly, the butterfly metaphor was predated by more than 70 years by the grasshopper effect.

145 citations


Cited by
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Journal ArticleDOI
TL;DR: Acts in what Hutchinson (1965) has called the 'ecological theatre' are played out on various scales of space and time and to understand the drama, one must view it on the appropriate scale.
Abstract: Acts in what Hutchinson (1965) has called the 'ecological theatre' are played out on various scales of space and time. To understand the drama, we must view it on the appropriate scale. Plant ecologists long ago recognized the importance of sampling scale in their descriptions of the dispersion or distribution of species (e.g. Greig-Smith, 1952). However, many ecologists have behaved as if patterns and the processes that produce them are insensitive to differences in scale and have designed their studies with little explicit attention to scale. Kareiva & Andersen (1988) surveyed nearly 100 field experiments in community ecology and found that half were conducted on plots no larger than 1 m in diameter, despite considerable differences in the sizes and types of organisms studied. Investigators addressing the same questions have often conducted their studies on quite different scales. Not surprisingly, their findings have not always matched, and arguments have ensued. The disagreements among conservation biologists over the optimal design of nature reserves (see Simberloff, 1988) are at least partly due to a failure to appreciate scaling differences among organisms. Controversies about the role of competition in structuring animal communities (Schoener, 1982; Wiens, 1983, 1989) or about the degree of coevolution in communities (Connell, 1980; Roughgarden, 1983) may reflect the

4,437 citations

Journal Article
TL;DR: In this paper, the authors present an approach for teaching distance learning in Instructional Technology and Distance Learning (ITDL) courses, based on the International Journal of Instructional technology and distance learning (IITDL).
Abstract: International Journal of Instructional Technology and Distance Learning (ITDL), January 2005

4,035 citations

Book
01 Jan 1995
TL;DR: Complexity theory is one of the most controversial areas of current scientific research as mentioned in this paper, which suggests that there are hidden tendencies in nature to select ordered states, even when statistically they are vastly outnumbered by chaotic possibilities.
Abstract: Complexity theory is one of the most controversial areas of current scientific research. Developing out of chaos theory, complexity suggests that there are hidden tendencies in nature to select ordered states, even when statistically they are vastly outnumbered by chaotic possibilities: that there is a deep natural impulse towards order, counteracting the degenerative tendencies of the Second Law of Thermodynamics. Like chaos, complexity is a multidisciplinary area of research and those involved include physicists, economists and biologists. This is a study of complexity.

2,897 citations

Book
05 Dec 1997
TL;DR: Teaching from Within: The Heart of a Teacher: Identity and Integrity in Teaching 9 The Hidden Wholeness: Paradox in Teaching and Learning 63 Knowing in Community: Joined by the Grace of Great Things 91 V Teaching in Community, A Subject-Centered Education 117 VI Learning in Community The Conversation of Colleagues 145 VII Divided No More: Teaching from a Heart of Hope 169 Afterword: The New Professional: Education for Transformation 191 Notes 215 The Author 225 The Center for Courage & Renewal 227 About the CD 229 Index 231
Abstract: Foreword to the Tenth Anniversary Edition ix Gratitudes xix Introduction: Teaching from Within 1 I The Heart of a Teacher: Identity and Integrity in Teaching 9 II A Culture of Fear: Education and the Disconnected Life 35 III The Hidden Wholeness: Paradox in Teaching and Learning 63 IV Knowing in Community: Joined by the Grace of Great Things 91 V Teaching in Community: A Subject-Centered Education 117 VI Learning in Community: The Conversation of Colleagues 145 VII Divided No More: Teaching from a Heart of Hope 169 Afterword: The New Professional: Education for Transformation 191 Notes 215 The Author 225 The Center for Courage & Renewal 227 About the CD 229 Index 231

2,605 citations

Book
29 May 2006
TL;DR: Reynolds as discussed by the authors provides basic information on composition, morphology and physiology of the main phyletic groups represented in marine and freshwater systems and reviews recent advances in community ecology, developing an appreciation of assembly processes, co-existence and competition, disturbance and diversity.
Abstract: Communities of microscopic plant life, or phytoplankton, dominate the Earth's aquatic ecosystems. This important new book by Colin Reynolds covers the adaptations, physiology and population dynamics of phytoplankton communities in lakes and rivers and oceans. It provides basic information on composition, morphology and physiology of the main phyletic groups represented in marine and freshwater systems and in addition reviews recent advances in community ecology, developing an appreciation of assembly processes, co-existence and competition, disturbance and diversity. Although focussed on one group of organisms, the book develops many concepts relevant to ecology in the broadest sense, and as such will appeal to graduate students and researchers in ecology, limnology and oceanography.

1,856 citations