Systolic Geometry and Topology
Mikhail G. Katz
InnbundetEngelsk
Del av serien Mathematical Surveys and Monographs
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Geometric Bifurcation Theory
Av Edson Denis Leonel, Vinicius Barros Da Silva, Joao Peres Vieira, 2026.Del av serien Nonlinear Physical Science.
Fisher Information Geometry Applied to Dynamic and Complex Systems
This book will present a comprehensive exploration of the geometric bifurcation theory (GBT), a novel approach that employs information geometry to analyze dynamical systems. It will delve into the mathematical foundations of GBT, including the Riemannian metrical structure of parameter spaces, Fisher information metric, scalar curvature, and their application to local and global bifurcations. The book will cover the limitations of classical bifurcation theory (CBT) and demonstrate how GBT overcomes these by providing a more complete characterization of stability and addressing the global behavior of nonlinear dynamical systems. Specific topics will include the geometric interpretation of bifurcations, stability analysis using curvature scalar, scaling analysis using Fisher information, and the application of GBT to study complex and nonlinear phenomena, especially where the standard methods show little or no solution.
InnbundetEngelsk
2 169,-
Ikke tilgjengelig for Klikk&Hent
Midlertidig tomt på lager
Bestillingsvare. Forventes sendt om ca 14 dager
Oppdag mer
Geometric Bifurcation Theory
Av Edson Denis Leonel, Vinicius Barros Da Silva, Joao Peres Vieira, 2026.Del av serien Nonlinear Physical Science.
Fisher Information Geometry Applied to Dynamic and Complex Systems
This book will present a comprehensive exploration of the geometric bifurcation theory (GBT), a novel approach that employs information geometry to analyze dynamical systems. It will delve into the mathematical foundations of GBT, including the Riemannian metrical structure of parameter spaces, Fisher information metric, scalar curvature, and their application to local and global bifurcations. The book will cover the limitations of classical bifurcation theory (CBT) and demonstrate how GBT overcomes these by providing a more complete characterization of stability and addressing the global behavior of nonlinear dynamical systems. Specific topics will include the geometric interpretation of bifurcations, stability analysis using curvature scalar, scaling analysis using Fisher information, and the application of GBT to study complex and nonlinear phenomena, especially where the standard methods show little or no solution.
Oppdag mer
2 169,-
InnbundetEngelsk
Ikke tilgjengelig for Klikk&Hent
Midlertidig tomt på lager
Bestillingsvare. Forventes sendt om ca 14 dager
2 169,-
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