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  • Mathematical Concepts in Single-Neuron Dynamics

    Series series The Mathematical Concepts in Science Series
    This book is designed as an introduction to neural dynamics through an intuitive exploration of fundamental "dynamic motifs"— the recurring dynamical concepts essential for understanding computational neuroscience. This concise, hands-on guide bridges the gap between mathematics and neuroscience, providing clear explanations of the key dynamical systems concepts that appear repeatedly in the ... Read more

    $70.99 USD

  • Mathematical Analysis of Complex Cellular Activity

    Series series Mathematics and Statistics (R0)
    This book contains two review articles on mathematical physiology that deal with closely related topics but were written and can be read independently.The first article reviews the basic theory of calcium oscillations (common to almost all cell types), including spatio-temporal behaviors such as waves. The second article uses, and expands on, much of this basic theory to show how the interaction ... Read more

    $53.99 USD

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  • Handbook of Analysis and Its Foundations

    Handbook of Analysis and Its Foundations is a self-contained and unified handbook on mathematical analysis and its foundations. Intended as a self-study guide for advanced undergraduates and beginning graduatestudents in mathematics and a reference for more advanced mathematicians, this highly readable book provides broader coverage than competing texts in the area. Handbook of Analysis and Its ... Read more

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  • Projects for Calculus

    The Language of Change

    Projects for Calculus is designed to add depth and meaning to any calculus course. The fifty-two projects presented in this text offer the opportunity to expand the use and understanding of mathematics. The wide range of topics will appeal to both instructors and students. Shorter, less demanding projects can be managed by the independent learner, while more involved, in-depth projects may be used ... Read more

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  • Fuzzy Sets and Systems

    Theory and Applications

    Fuzzy Sets and Systems: Theory and Applications provides a comprehensive research monography that cover all of the important developments in the theory of fuzzy sets and their applications that have taken place during the past several years. ... Read more

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  • Modeling Nonlinear Problems in the Mechanics of Strings and Rods

    The Role of the Balance Laws

    Series series Engineering (R0)
    This book presents theories of deformable elastic strings and rods and their application to broad classes of problems. Readers will gain insights into the formulation and analysis of models for mechanical and biological systems. Emphasis is placed on how the balance laws interplay with constitutive relations to form a set of governing equations. For certain classes of problems, it is shown how a ... Read more

    $80.99 USD

  • Infinite-Horizon Optimal Control in the Discrete-Time Framework

    Series series Mathematics and Statistics (R0)
    In this book the authors take a rigorous look at the infinite-horizon discrete-time optimal control theory from the viewpoint of Pontryagin’s principles. Several Pontryagin principles are described which govern systems and various criteria which define the notions of optimality, along with a detailed analysis of how each Pontryagin principle relate to each other. The Pontryagin principle is ... Read more

    $49.99 USD

  • Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles

    by Maoan Han, Pei Yu ...
    Series series Mathematics and Statistics (R0)
    Dynamical system theory has developed rapidly over the past fifty years. It is a subject upon which the theory of limit cycles has a significant impact for both theoretical advances and practical solutions to problems. Hopf bifurcation from a center or a focus is integral to the theory of bifurcation of limit cycles, for which normal form theory is a central tool. Although Hopf bifurcation has ... Read more

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  • Regularity and Stochasticity of Nonlinear Dynamical Systems

    Series series Engineering (R0)
    This book presents recent developments in nonlinear dynamics and physics with an emphasis on complex systems. The contributors provide recent theoretic developments and new techniques to solve nonlinear dynamical systems and help readers understand complexity, stochasticity, and regularity in nonlinear dynamical systems. This book covers integro-differential equation solvability, Poincare ... Read more

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  • Nonlinear Dynamics and Quantum Chaos

    An Introduction

    Series series Physics and Astronomy (R0)
    The field of nonlinear dynamics and chaos has grown very much over the last few decades and is becoming more and more relevant in different disciplines. This book presents a clear and concise introduction to the field of nonlinear dynamics and chaos, suitable for graduate students in mathematics, physics, chemistry, engineering, and in natural sciences in general. It provides a thorough and modern ... Read more

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  • Chaotic Dynamics in Nonlinear Theory

    by Lakshmi Burra ...
    Using phase–plane analysis, findings from the theory of topological horseshoes and linked-twist maps, this book presents a novel method to prove the existence of chaotic dynamics. In dynamical systems, complex behavior in a map can be indicated by showing the existence of a Smale-horseshoe-like structure, either for the map itself or its iterates. This usually requires some assumptions about the ... Read more

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  • Orbital Dynamics in the Gravitational Field of Small Bodies

    by Yang Yu ...
    Series series Physics and Astronomy (R0)
    This prizewinning PhD thesis presents a general discussion of the orbital motion close to solar system small bodies (SSSBs), which induce non-central asymmetric gravitational fields in their neighborhoods. It introduces the methods of qualitative theory in nonlinear dynamics to the study of local/global behaviors around SSSBs. Detailed mechanical models are employed throughout this dissertation, ... Read more

    $89.09 USD