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1 (p1): Chapter 1 Linear Systems and Stability 1 (p2): 1.1 Linear systems with distinct eigenvalues 7 (p3): 1.2 Operator exponentials 8 (p4): 1.3 Linear systems with repeated eigenvalues 18 (p5): 1.4 Nonhomogeneous linear systems 21 (p6): 1.5 Linear systems with periodic coefficients 22 (p7): 1.6 Stability and boundary 33 (p8): 1.7 Lower-dimensional linear systems 33 (p9): 1.7.1 One-dimensional linear systems 35 (p10): 1.7.2 Planar linear systems 41 (p11): 1.7.3 Three-dimensional linear systems 53 (p12): References 55 (p13): Chapter 2 Stability Switching and Bifurcation 55 (p14): 2.1 Continuous dynamical systems 58 (p15): 2.2 Equilibriums and stability 70 (p16): 2.3 Bifurcation and stability switching 76 (p17): 2.3.1 Stability and switching 95 (p18): 2.3.2 Bifurcations 106 (p19): 2.3.3 Lyapunov functions and stability 106 (p20): References 109 (p21): Chapter 3 Analytical Periodic Flows and Chaos 109 (p22): 3.1 Analytical periodic flows 109 (p23): 3.1.1 Autonomous nonlinear systems 117 (p24): 3.1.2 Periodically forced nonlinear systems 121 (p25): 3.2 Nonlinear vibration systems 121 (p26): 3.2.1 Free vibration systems 131 (p27): 3.2.2 Periodically forced vibration systems 135 (p28):

Author

罗朝俊著, Albert C.J. Luo[著, 罗朝俊, Albert C. J Luo

Publisher

北京:高等教育出版社

Published

2012

Language

ZH

ISBN

9787040348194

Subjects

Mathematics, Stem