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  • Recent Improvements in the Theory of Chaotic Attractors

    This book presents some exceptional developments in chaotic attractor theory encompassing several new directions of research such as three-dimensional axiom A-diffeomorphisms, Shilnikov attractors, dendrites and finite graphs.The theory of chaotic attractors has experienced exceptional development over the last fifty years since the revelation of chaos in mathematics (invented by James Yorke) and ... Read more

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  • Dynamical Systems

    Paths of Twelve Mathematicians and Physicists to Chaos and Its Applications

    This book offers a captivating exploration of the intersection between mathematics, chaos theory, and dynamical systems through the personal journeys of twelve renowned mathematicians and physicists from China, Europe, Russia, and the USA.The first section of the book provides an intimate look into the formative experiences and early steps of these scientists. In these life stories, the names of ... Read more

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  • Difference Equations and Discrete Dynamical Systems with Applications

    ICDEA 29, Paris, France, June 24–28, 2024

    Series series Springer Nature Proceedings excluding Computer Science
    This proceedings volume gathers selected and invited contributions presented at the 29th International Conference on Difference Equations and Applications (ICDEA), held in Paris, France, from June 24 to 28, 2024. Papers in this volume cover topics in the theory and applications of difference equations and discrete dynamical systems in fields as diverse as mathematical economics, mathematical ... Read more

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  • Lozi, Hénon and Belykh Chaotic Attractors

    New Results Fifty Years On

    Over the past fifty years, the development of chaotic dynamical systems theory and its subsequent wide applicability in science and technology has been an extremely important achievement of modern mathematics. Chaotic attractors are not a fleeting curiosity, and their continued study is important for the progress of mathematics.This book collects several of the new relevant results on the most ... Read more

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  • Difference Equations, Discrete Dynamical Systems and Applications

    IDCEA 2022, Gif-sur-Yvette, France, June 18–22

    Series series Springer Nature Proceedings excluding Computer Science
    This book presents contributions related to new research results presented at the 27th International Conference on Difference Equations and Applications, ICDEA 2022, that was held at CentraleSupélec, Université Paris-Saclay, France, under the auspices of the International Society of Difference Equations (ISDE), July 18–22, 2022. The book aims not only to disseminate these results but to foster ... Read more

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  • Mathematical Modelling, Optimization, Analytic and Numerical Solutions

    Series series Mathematics and Statistics (R0)
    This book discusses a variety of topics related to industrial and applied mathematics, focusing on wavelet theory, sampling theorems, inverse problems and their applications, partial differential equations as a model of real-world problems, computational linguistics, mathematical models and methods for meteorology, earth systems, environmental and medical science, and the oil industry. It features ... Read more

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  • Industrial Mathematics and Complex Systems

    Emerging Mathematical Models, Methods and Algorithms

    Series series Mathematics and Statistics (R0)
    The book discusses essential topics in industrial and applied mathematics such as image processing with a special focus on medical imaging, biometrics and tomography. Applications of mathematical concepts to areas like national security, homeland security and law enforcement, enterprise and e-government services, personal information and business transactions, and brain-like computers are also ... Read more

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    Volume 2

    ***Nonlinear Systems and Their Remarkable Mathematical Structures, Volume 2***is written in a careful pedagogical manner by experts from the field of nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete). This book aims to clearly illustrate the mathematical theories of nonlinear systems and its progress to both non-experts and active researchers in this ... Read more

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  • Numerical Approximation of Ordinary Differential Problems

    From Deterministic to Stochastic Numerical Methods

    Series series Mathematics and Statistics (R0)
    This book is focused on the numerical discretization of ordinary differential equations (ODEs), under several perspectives. The attention is first conveyed to providing accurate numerical solutions of deterministic problems. Then, the presentation moves to a more modern vision of numerical approximation, oriented to reproducing qualitative properties of the continuous problem along the discretized ... Read more

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  • Quantum Probability And Related Topics - Proceedings Of The 32nd Conference

    Series Book 29 - Qp-pq: Quantum Probability And White Noise Analysis
    This volume contains the current research in quantum probability, infinite dimensional analysis and related topics. Contributions by experts in these fields highlight the latest developments and interdisciplinary connections with classical probability, stochastic analysis, white noise analysis, functional analysis and quantum information theory.This diversity shows how research in quantum ... Read more

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  • Analysis, Geometry, Nonlinear Optimization and Applications

    Series Book 9 - Series on Computers and Operations Research
    This volume features an extensive account of both research and expository papers in a wide area of engineering and mathematics and its various applications.Topics treated within this book include optimization of control points, game theory, equilibrium points, algorithms, Cartan matrices, integral inequalities, Volterra integro-differential equations, Caristi-Kirk theorems, Laplace type integral ... Read more

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  • Bifurcation Analysis of Fluid Flows

    A better understanding of the mechanisms leading a fluid system to exhibit turbulent behavior is one of the grand challenges of the physical and mathematical sciences. Over the last few decades, numerical bifurcation methods have been extended and applied to a number of flow problems to identify critical conditions for fluid instabilities to occur. This book provides a state-of-the-art account of ... Read more

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