Bifurcation Theory with Applications

Bifurcation Theory with Applications is a collection of chapters that describe the theory and application of nonlinear dynamics to a wide variety of problems in physics and engineering. Each chapter is self-contained and includes an introduction, main contributions, and details of up-to-date theoret...

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格式: Online
語言:英语
出版: IntechOpen 2025
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collection Directory of Open Access Books
description Bifurcation Theory with Applications is a collection of chapters that describe the theory and application of nonlinear dynamics to a wide variety of problems in physics and engineering. Each chapter is self-contained and includes an introduction, main contributions, and details of up-to-date theoretical, computational, and experimental results. The book examines various practical systems, including models of target detection in cells through the analysis of bio-nanomachine, attractant, and repellent concentrations. It addresses the quasistatic evolution of anelastic structures, explores the generation of triangular patterns through anisotropic diffusion, and discusses the stabilization of time-delay distributed bilinear systems in spatial domains. Topics also include optimal control challenges in bilinear systems with unbounded and bounded control sets, forward bifurcation in hepatitis B virus infection models, and the bifurcation of hematological stem cells with feedback control in a biological context. The book is designed for theorists, applied mathematicians, and engineers across diverse scientific disciplines, serving as a valuable resource for anyone interested in bifurcation theory’s wide-ranging applications.
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publishDateRange 2025
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spelling doab-20.500.12854ir-1526092025-02-20T08:20:56Z Bifurcation Theory with Applications Moschandreou, Terry E. thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equations Bifurcation Theory with Applications is a collection of chapters that describe the theory and application of nonlinear dynamics to a wide variety of problems in physics and engineering. Each chapter is self-contained and includes an introduction, main contributions, and details of up-to-date theoretical, computational, and experimental results. The book examines various practical systems, including models of target detection in cells through the analysis of bio-nanomachine, attractant, and repellent concentrations. It addresses the quasistatic evolution of anelastic structures, explores the generation of triangular patterns through anisotropic diffusion, and discusses the stabilization of time-delay distributed bilinear systems in spatial domains. Topics also include optimal control challenges in bilinear systems with unbounded and bounded control sets, forward bifurcation in hepatitis B virus infection models, and the bifurcation of hematological stem cells with feedback control in a biological context. The book is designed for theorists, applied mathematicians, and engineers across diverse scientific disciplines, serving as a valuable resource for anyone interested in bifurcation theory’s wide-ranging applications. 2025-02-20T08:20:53Z 2025-02-20T08:20:53Z 2024 book ONIX_20250220_9781837691968_126 9781837691968 9781837691951 9781837691975 https://directory.doabooks.org/handle/20.500.12854/152609 eng image/jpeg n/a https://www.intechopen.com/books/12911 https://mts.intechopen.com/storage/books/12911/authors_book/authors_book.pdf IntechOpen IntechOpen 10.5772/intechopen.111070 10.5772/intechopen.111070 78a36484-2c0c-47cb-ad67-2b9f5cd4a8f6 9781837691968 9781837691951 9781837691975 IntechOpen 162 open access
spellingShingle thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equations
Bifurcation Theory with Applications
title Bifurcation Theory with Applications
title_full Bifurcation Theory with Applications
title_fullStr Bifurcation Theory with Applications
title_full_unstemmed Bifurcation Theory with Applications
title_short Bifurcation Theory with Applications
title_sort bifurcation theory with applications
topic thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equations
topic_facet thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equations
url ONIX_20250220_9781837691968_126