TY  - BOOK
AU  - Wimberger, Sandro.
TI  - Nonlinear dynamics and quantum chaos: an introduction
SN  - 9783319063423
U1  - 535 
PY  - 2014///
CY  - New York
PB  - Springer
KW  - Differentiable dynamical systems	
KW  - Nonlinear mechanics	
KW  - Quantum chaos
KW  - Mathematical physics
KW  - Physics
KW  - Statistical physics
N1  - 1 Introduction.

2 Fundamental terminology.

3 3Complexity.

4 Classical versus quantum dynamics.

4 Problems.

5 References.

6 Dynamical systems.

7 Evolution law.

8 One-dimensional maps.

9 Problems.

10 References.

11 Nonlinear Hamiltonian systems.

12 Integrable examples.

13 Hamiltonian formalism.

14 Important techniques in the Hamiltonian formalism.

15 Integrable systems.

16 Non-integrable systems.

17 Perturbation of low-dimensional systems.

18 Canonical perturbation theory.

19 Transition to chaos in Hamiltonian systems.

20 Criteria for local and global chaos

ER  -