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题名/责任者:

Nonlinear dynamics, chaos, and complexity : in memory of Valentin Afraimovich = 非线性动力系统、混沌及复杂性 : 纪念Valentin Afraimovich教授 / Dimitri Volchenkov, ed.

出版发行项:

北京 : Higher Education Press, 2021.

ISBN:

9787040559118

载体形态项:

viii, 198 pages : illustrations ; 25 cm.

变异题名:

非线性动力系统、混沌及复杂性 : 纪念Valentin Afraimovich教授

丛编说明:

Nonlinear physical science = 非线性物理科学 ; 49

附加个人名称:

Afrai?movich, V. S. (Valentin Senderovich), honouree.

附加个人名称:

Volchenkov, Dimitri, editor.

论题主题:

Differentiable dynamical systems.

中图法分类号:

O194

书目附注:

Includes bibliographical references.

内容附注:

Professor Valentin Afraimovich -- The need for more integration between machine learning and neuroscience -- Quasiperiodic route to transient chaos in vibroimpact system -- Modeling ensembles of nonlinear dynamic systems in ultrawideband active wireless direct chaotic networks -- Verification of biomedical processes with anomalous diffusion, transport and interaction of species -- Chaos-based communication using isochronal synchronization: considerations about the synchronization manifold -- A sequential order of periodic motions in a 1-dimensional, time-delay, dynamical system -- On the geometric approach to transformations of the coordinates of inertial frames of reference -- Corpuscular models of information transfer in a random environment -- Kinetic equation for systems with resonant captures and scatterings -- Solvability in the sense of sequences for some non-fredholm operators in higher dimensions.

摘要附注:

This book demonstrates how mathematical methods and techniques can be used in synergy and create a new way of looking at complex systems. It becomes clear nowadays that the standard (graph-based) network approach, in which observable events and transportation hubs are represented by nodes and relations between them are represented by edges, fails to describe the important properties of complex systems, capture the dependence between their scales, and anticipate their future developments. Therefore, authors in this book discuss the new generalized theories capable to describe a complex nexus of dependences in multi-level complex systems and to effectively engineer their important functions. The collection of works devoted to the memory of Professor Valentin Afraimovich introduces new concepts, methods, and applications in nonlinear dynamical systems covering physical problems and mathematical modelling relevant to molecular biology, genetics, neurosciences, artificial intelligence as well as classic problems in physics, machine learning, brain and urban dynamics. The book can be read by mathematicians, physicists, complex systems scientists, IT specialists, civil engineers, data scientists, urban planners, and even musicians (with some mathematical background)

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