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Titlebook: Discrete Dynamical Systems; Oded Galor Book 2007 Springer-Verlag Berlin Heidelberg 2007 Discrete Dynamical Systems.Higher-order Systems.No

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书目名称Discrete Dynamical Systems
编辑Oded Galor
视频videohttp://file.papertrans.cn/282/281091/281091.mp4
概述A gradual development of the necessary skills, assuming no prior knowledge in discrete dynamical system..Abundant in illustrations of the various systems..A whole chapter is devoted to the solution of
图书封面Titlebook: Discrete Dynamical Systems;  Oded Galor Book 2007 Springer-Verlag Berlin Heidelberg 2007 Discrete Dynamical Systems.Higher-order Systems.No
描述.This book provides an introduction to discrete dynamical systems – a framework of analysis that is commonly used in the fields of biology, demography, ecology, economics, engineering, finance, and physics. The book characterizes the fundamental factors that govern the quantitative and qualitative trajectories of a variety of deterministic, discrete dynamical systems, providing solution methods for systems that can be solved analytically and methods of qualitative analysis for those systems that do not permit or necessitate an explicit solution. The analysis focuses initially on the characterization of the factors that govern the evolution of state variables in the elementary context of one-dimensional, first-order, linear, autonomous systems. The fundamental insights about the forces that affect the evolution of these elementary systems are subsequently generalized, and the determinants of the trajectories of multi-dimensional, nonlinear, higher-order, non-autonomous dynamical systems are established. Chapter 1 focuses on the analysis of the evolution of state variables in one-dimensional, first-order, autonomous systems. It introduces a method of solution for these systems, and i
出版日期Book 2007
关键词Discrete Dynamical Systems; Higher-order Systems; Non-linear Dynamical Systems; dynamical systems; dynam
版次1
doihttps://doi.org/10.1007/3-540-36776-4
isbn_softcover978-3-642-07185-0
isbn_ebook978-3-540-36776-5
copyrightSpringer-Verlag Berlin Heidelberg 2007
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发表于 2025-3-21 22:54:05 | 显示全部楼层
al systems are established. Chapter 1 focuses on the analysis of the evolution of state variables in one-dimensional, first-order, autonomous systems. It introduces a method of solution for these systems, and i978-3-642-07185-0978-3-540-36776-5
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https://doi.org/10.1007/978-3-322-86770-4tion for these multi-dimensional systems, and it characterizes the trajectory of the vector of state variables, in relation to the system’s steady-state equilibrium, examining the local and global (asymptotic) stability of this steady-state equilibrium.
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https://doi.org/10.1007/978-3-322-86770-4trajectories of these systems when the matrix of coefficients has real eigenvalues and the vector of state variables converges or diverges in a monotonic or oscillatory fashion towards or away from a steady-state equilibrium that is characterized by either a saddle point or a stable or unstable (imp
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Elizabeth Ngo D.O.,Shalini Shah M.D.It utilizes the analysis of linear, multi-dimensional, first-order systems to characterize the trajectory of nonlinear systems via their linearization in the proximity of a steady-state equilibrium, and the examination of the local and the global properties of these systems, based on the ..
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Drug Abuse and Psychiatric Disordersrst-order linear system with real eigenvalues, a first-order linear system with complex eigenvalues that exhibits periodic orbit, a first-order linear system with complex eigenvalues that exhibits a spiral sink, a first-order nonlinear system characterized by oscillatory convergence, and a second-or
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Multi-Dimensional, First-Order, Linear Systems: Solution,tion for these multi-dimensional systems, and it characterizes the trajectory of the vector of state variables, in relation to the system’s steady-state equilibrium, examining the local and global (asymptotic) stability of this steady-state equilibrium.
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