《連續動力繫統(精)》編著者羅朝俊。
《非線性物理科學：連續動力繫統（英文版）》極具創新特色，**揭示了混沌不隻是可以通過數字模擬實現，而且可以用解析形式來表示。書中提出了關於連續動力繫統的穩定性和分叉理論的一種新的、清晰簡明的觀點，能夠幫助讀者*好地理解動力繫統中的規則性和復雜性。本書首先介紹了含多重特征根的線性連續繫統的解析解和穩定性理論，並詳細討論了非線性連續動力繫統的穩定性和奇異性分類，然後繫統地討論動力繫統從周期解到混沌的解析道路。此外本書還討論了動力繫統流對於同宿或異宿軌道分界面的全局橫截性的解析預測並且給出了非線性哈密頓繫統混沌的解析判據，從而能*好地確定混沌在非線性動力繫統中的物理機理。
本書可作為應用數學、物理、力學和控制專業大學生的教材或參考書，也可供這些領域的教授和研究人員參考。
作者羅朝俊，非線性動力繫統和力學領域**知名專家，美國南伊利諾伊大學愛德華分校終身教授，主要研究領域為非線性哈密頓繫統混沌、非線性力學和不連續動力繫統。

Preface
Chapter 1 Linear Systems and Stab
1.1 Linear systems with distinct eigenvalues
1.2 Operator exponentials
1.3 Linear systems with repeated eigenvalues
1.4 Nonhomogeneous linear systems
1.5 Linear systems with periodic coefficients
1.6 Stability and boundary
1.7 Lower-dimensional linear systems
1.7.1 One-dimensional linear systems
1.7.2 Planar linear systems
1.7.3 Three-dimensional linear systems
References

Chapter 2 Stability Switching and Bifurcation
2.1 Continuous dynamical systems
2.2 Equilibriums and stabilit
2.3 Bifurcation and stability switching
2.3.1 Stability and switching
2.3.2 Bifurcations
2.3.3 Lyapunov functions and stability
References

Chapter 3 Analytical Periodic Flows and Chaos
3.1 Analytical periodic flows
3.1.1 Autonomous nonlinear systems
3.1.2 Periodically forced nonlinear systems
3.2 Nonlinear vibration systems
3.2.1 Free vibration systems
3.2.2 Periodically forced vibration systems
3.3 A periodically forced Duffing oscillator
References

Chapter 4 Global Transversality and Chaos
4.1 Nonlinear dynamical systems
4.2 Local and global flows
4.3 Global transversal
4.4 Global tangency
4.5 Perturbed Hamiltonian systems
4.6 Two-dimensional Hamiltonian systems
4.7 First integral quantity increment
4.8 A damped Duffing oscillator
4.8.1 Conditions for global transversality and tangency
4.8.2 Poincare mapping and mapping structures
4.8.3 Bifurcation scenario
4.8.4 Numericalillustrations
References

Chapter 5 Resonance and Hamiltonian Chaos
5.1 Stochastic layers
5.1.1 Definitions
5.1.2 Approximate criteria
5.2 Resonant separatrix layers
5.2.1 Layer dynamics
5.2.2 Approximate criteria
5.3 A periodically forced Duffing oscillator
5.3.1 Approximate predictions
5.3.2 Numericalillustrations
5.4 Concluding remarks
References
Index