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1 Linear Systems, Uncoupled Linear Systems
2 Exponential of Operators, Linear Systems in R^2
3 Complex Eigenvalues, Stability Theory
4 Stability Thoery, Nonhomegeneous Linear Systems
5 Some Preliminariess Concepts and Definitions, The Fundemantal Existence and Uniqueness
6 Dependence on Inıtial Conditions and Parameters
7 The maxima Interval of Existence
8 Local Theory of Dynamical Systems
9 Linearization
10 The Stable Manifold Theorem
11 The Hartman-Grobman Theorem
12 Stability and Liapunov Functions
13 Center Manifold Theorem
14 Gradient and Hamiltonian Systems |