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  • HE XIAO MING PENG MING SHU

    Edité par Beijing Institute of Technology University Press P, 1991

    ISBN 10 : 756403775XISBN 13 : 9787564037758

    Vendeur : liu xing, Nanjing JiangSu, JS, Chine

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    EUR 51,57

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    Soft cover. Etat : New. Language:Chinese.Author:HE XIAO MING PENG MING SHU.Binding:Soft cover.Publisher:Beijing Institute of Technology University Press P.

  • EUR 68,06

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    paperback. Etat : New. Ship out in 2 business day, And Fast shipping, Free Tracking number will be provided after the shipment.Paperback. Pub Date: November 2012 of Pages: 192 in Publisher: Introduction to Beijing Institute of Technology Press. ordinary differential equations and dynamical systems (revised edition) focuses introduced the basic theory and method of ordinary differential equations and dynamical systems from the application point of view strive to conceptual clarity. theoretical evidence and practical methods. and methods and differential equations modeling. image analysis combined. The book begins with a brief introduction ordinary differential equations some basic theories and methods behind pave the way to learn the theory of dynamical systems; then introduce the basic theory and applications of linear systems. autonomous systems of nonlinear phenomena in power system. the ordinary differential equation theory and the knowledge of the power system are organically integrated. The book has a lot of examples. exercises. and supplemented phase diagram. illustrated. easy for readers to understand. The book came out. moderate difficulty. introductory book is a good learning power systems. Introduction to ordinary differential equations and dynamical systems (revised edition) can be used as a high grade and graduate of the Higher Education Department of Mathematics textbooks or teaching reference books are also available for the physical. chemical. biological. and other relevant professional. scientific and technical workers reference. Contents: Chapter Order Ordinary Differential Equations 1.1 Introduction 1.1.1 The initial value problem 1.1.2 The general solution of particular solution 1.1.3 natural growth and disappearance the slope field 1.1.4 reconciliation curve local existence and uniqueness theorem 1.1.5 1.1.6 further definition and solving equations 1.2.1 separable variable equation separable variables 1.2 1.2.2 implicit solutions and singular solution 1.3 first-order linear equations 1.3.1 first-order linear differential equation 1.3.2 further explore the 1.4 variable substitution the method 1.4.1 homogeneous equation 1.4.2. equation Bernoulli (Bemouli) 1.4.3 Riccati equation (Riccati) 1.5 can be reduced for the second-order equation 1.5.1 does not explicitly the dependent variable y1.5.2 not significant containing the independent variable x1.6 appropriate equation exercises 1 Chapter linear system 2.1 vector (matrix) function. a complex-valued function and complex exponential function 2.2 uncoupled linear system 2.3 for keratosis 2.4 index matrix or index 2.5 line operator sexual fundamental theorem 2.6 R2 the plane linear system 2.7 complex eigenvalue root 2.9 Jordan 2.8 multiple standard-shaped 2.10 stability theory 2.11 non-homogeneous linear system 2.12 Addendum 2.12.1 first-order linear the system 2.12.2 linear independence 3.2 Linear systems of the general solution 2.12.4 2.12.3 initial value problem characteristic solution 2.12.5 non-homogeneous solution exercises 2 Chapter fundamental theorem and basic principles 3.1 solution. the existence of the Fundamental Theorem 3.3 local existence theorem 3.4 Uniqueness Theorem 3.5 extension of the continuous dependence of solutions with respect to the initial value 3.6 Further Reading 3.6.1 Peano (Renzo Piano) existence theorem 3.6.2 solution comparison theorem and its applications 3.6.3 3.6.4 continuous dependence of the solution of the initial values ??and parameters Exercise 3 Chapter differentiability autonomous system of nonlinear phenomena 4.1 the number of autonomous equation 4.1.1 Introduction 4.1.2 stream geometric properties 4.1.3 4.1.4 of the stability of the equilibrium point bifurcation. and the dependence on the parameters 4.2 2D autonomous equation 4.2.1 general nature and geometric characteristics 4.2.2 Stability 4.2.3 linear and near-linear system 4.3 bifurcation: the Lyapunov exponent exercises 4 References 4.4 Further readingFour Satisfaction guaranteed,or money.