Differential Equations: A Dynamical Systems Approach

of Part II. - Systems of Ordinary Differential Equations The Higher-Dimensional Theory x? = f(tx). - 6 Systems of Differential Equations. - 7 Systems of Linear Differential Equations. - 8 Systems of Nonlinear Differential Equations. - 8* Structural Stability. - 9 Bifurcations. - Appendix L: Linear Algebra. - L1 Theory of Linear Equations: In Practice. - L2 Theory of Linear Equations: Vocabulary. - L3 Vector Spaces and Inner Products. - L4 Linear Transformations and Inner Products. - L5 Determinants and Volumes. - L6 Eigenvalues and Eigenvectors. - L7 Finding Eigenvalues: The QR Method. - L8 Finding Eigenvalues: Jacobi's Method. - Appendix L Exercises. - Appendix L Summary. - Appendix T: Key Theorems From Parts I and III. - References. - Answers to Selected Problems. Language: English