TAILIEUCHUNG - Ebook Ordinary differential equations and dynamical systems: Part 1

(BQ) Part 1 book "Ordinary differential equations and dynamical systems" has contents: Introduction, initial value problems, linear equations, differential equations in the complex domain, boundary value problems. | Ordinary Differential Equations and Dynamical Systems Gerald Teschl This is a preliminary version of the book Ordinary Differential Equations and Dynamical Systems published by the American Mathematical Society (AMS). This preliminary version is made available with the permission of the AMS and may not be changed, edited, or reposted at any other website without explicit written permission from the author and the AMS. Author's preliminary version made available with permission of the publisher, the American Mathematical Society To Susanne, Simon, and Jakob Author's preliminary version made available with permission of the publisher, the American Mathematical Society Author's preliminary version made available with permission of the publisher, the American Mathematical Society Contents Preface xi Part 1. Classical theory Chapter 1. Introduction 3 §. Newton’s equations 3 §. Classification of differential equations 6 §. First order autonomous equations 9 §. Finding explicit solutions 13 §. Qualitative analysis of first-order equations 20 §. Qualitative analysis of first-order periodic equations 28 Chapter 2. Initial value problems 33 §. Fixed point theorems 33 §. The basic existence and uniqueness result 36 §. Some extensions 39 §. Dependence on the initial condition 42 §. Regular perturbation theory 48 §. Extensibility of solutions 50 §. Euler’s method and the Peano theorem 54 Chapter 3. Linear equations 59 §. The matrix exponential 59 Linear autonomous first-order systems 66 §. Linear autonomous equations of order n 74 §. vii Author's preliminary version made available with permission of the publisher, the American Mathematical Society viii §. §. §. §. §. Contents General linear first-order systems Linear equations of order n Periodic linear systems Perturbed linear first order systems Appendix: Jordan canonical .

• Cơ khí - Chế tạo máy
• Ordinary differential equations
• Dynamical systems
• Classical theory
• Initial value problems
• Linear equations
• Differential equations
• Boundary value problems
• Solution manual
• Order linear equations
• Power series solutions
• Linear differential equations
• A first course in differential equations
• Higher order differential equations
• The laplace transform
• Definition of the laplace transform
• complete treatment
• linear methods
• advanced level
• numerical differential equation
• Euler method
• A first course in differential
• Planar dynamical systems
• Higher dimensional dynamical systems
• Local behavior near fixed points
• Discrete dynamical systems
• Chaos in higher dimensional systems
• Periodic solutions
• Coupling strength
• Complete network
• FitzHugh Nagumo model
• Ordinary differential equations of fitzhugh nagumo
• Identical synchronization in complete network
• Runge Kutta methods
• linear multistep methods
• general linear methods
• fundamental Euler method
• equation methods
• State space
• Several flying situations of paragliders
• Simulation of several flying situations
• Technologies
• Systems Engineering
• robotic
• mechanical
• anatomy
• The subject of rock mechanics
• Content of this book
• Geological setting
• Natural rock environments
• Stress as a point property
• Mathematical Software
• finite Element Methods
• Piecewise Polynomial Functions
• One Space Variable
• Partial Differential Equations
• BMC Cancer
• Tumor growth
• Cancer chemotherapy
• Mathematical model
• Delay differential equations
• Journal of Mechanics
• Canonical equations for a constrained mechanical system
• Constrained mechanical system
• Holonomic and nonholonomic systems
• Algebraic functions
• Differential calculus
• Integral calculus
• Multivariate calculus
• Matrix operations
• Numerical analysis
• Mathematical preliminaries
• Error analysis
• Solutions of equations
• Polynomial approximation
• Numerical differentiation
• Generation of ordinary differential equations
• Wrapped exponential distribution
• Nature of exponential distribution
• Wrapped probability distributions
• Entropy of wrapped distributions
• Tự động hóa
• Điện – điện tử
• Cơ khí chế tạo máy
• Kiến trúc xây dựng
• kỹ thuật viễn thông
• tư liệu
• tài liệu lập trình
• thủ thuật lập trình
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