Nonlinear Physics Resources 2018-04-23T09:34:37+00:00

Nonlinear Physics Books (4)

  • Nonlinear Physics for Beginners

    Nonlinear Physics for Beginners

    Almost all real systems are nonlinear. For a nonlinear system the superposition principle breaks down: The system's response is not proportional to the stimulus it receives; the whole is more than the sum of its parts. The three parts of this book contains the basics of nonlinear science, with applications in physics. Part I contains an overview of fractals, chaos, solitons, pattern formation, cellular automata and complex systems. In Part II, 14 reviews and essays by pioneers, as well as 10 research articles are reprinted. Part III collects 17 students projects, with computer algorithms for simulation models included.

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  • Nonlinear Dynamics and Chaos

    Nonlinear Dynamics and Chaos

    This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

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  • Introduction to Nonlinear Physics

    Introduction to Nonlinear Physics

    This textbook provides an introduction to the new science of nonlinear physics for advanced undergraduates, beginning graduate students, and researchers entering the field. The chapters, by pioneers and experts in the field, share a unified perspective. Nonlinear science developed out of the increasing ability to investigate and analyze systems for which effects are not simply linear functions of their causes; it is associated with such well-known code words as chaos, fractals, pattern formation, solitons, cellular automata, and complex systems.

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  • Introduction to the Mathematical Physics of Nonlinear Waves

    Introduction to the Mathematical Physics of Nonlinear Waves

    Nonlinear physics is a well-established discipline in physics today, and this book offers a comprehensive account of the basic soliton theory and its applications. Although primarily mathematical, the theory for nonlinear phenomena in practical environments needs to be understood at upper undergraduate level, with particular attention given to the presence of media where nonlinearity takes place. This book addresses mathematical theories, but also suggests possible theoretical innovations for many issues, providing a stimulating reference for both students and researchers.

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Nonlinear Physics Course (2)

  • Nonlinear Dynamics and Chaos MIT

    Nonlinear Dynamics and Chaos MIT

    This graduate level course focuses on nonlinear dynamics with applications. It takes an intuitive approach with emphasis on geometric thinking, computational and analytical methods and makes extensive use of demonstration software.

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  • Nonlinear Dynamics: Mathematical and Computational Approaches

    Nonlinear Dynamics: Mathematical and Computational Approaches

    This course provides a broad introduction to the field of nonlinear dynamics, focusing both on the mathematics and the computational tools that are so important in the study of chaotic systems. The course is aimed at students who have had at least one semester of college-level calculus and physics, and who can program in at least one high-level language

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Nonlinear Physics Research (3)

  • Teaching Nonlinear Dynamics and Chaos for Beginners - Dialnet

    Teaching Nonlinear Dynamics and Chaos for Beginners - Dialnet

    We describe a course in Nonlinear Dynamics for undergraduate students of the first years of Chemical Engineering, Environmental Sciences and Computer Sciences. An extensive use of computational tools, the internet and laboratory experiments are key ingredients of the course. Even though their previous background in physics and mathematics might be limited, our experience shows that an appropriate selection of the contents with the use of some conceptual introductory ideas and multimedia techniques are an excellent way to introduce Nonlinear Dynamics and Chaos for beginners.

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  • Nonlinear dynamics: Challenges and perspectives

    Nonlinear dynamics: Challenges and perspectives

    The study of nonlinear dynamics has been an active area of research since 1960s, after certain path-breaking discoveries, leading to the concepts of solitons, integrability, bifurcations, chaos and spatio-temporal patterns, to name a few. Several new techniques and methods have been developed to understand nonlinear systems at different levels. Along with these, a multitude of potential applications of nonlinear dynamics have also been enunciated. In spite of these developments, several challenges, some of them fundamental and others on the efficacy of these methods in developing cutting edge technologies, remain to be tackled. In this article, a brief personal perspective of these issues is presented.

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  • Basic Concepts in Nonlinear Dynamics and Chaos

    Basic Concepts in Nonlinear Dynamics and Chaos

    dynamic system is a set of functions (rules, equations) that specify how variables change over time

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