前辅文
 1 Posing the Problems
  1.1 Initial Concepts
  1.2 Summary
 2 A Hamiltonian and a Mapping
  2.1 The Mapping
  2.2 Specific Applications
   2.2.1 Standard Mapping
   2.2.2 The Fermi–Ulam Model
   2.2.3 The Bouncer Model
   2.2.4 A Hybrid Fermi–Ulam Bouncer Model
   2.2.5 Family of Mappings
  2.3 Summary
 3 A Phenomenological Description for Chaotic Diffusion
  3.1 Dynamical Properties for the Chaotic Sea: A Phenomenological Description
  3.2 Summary
 4 A Semi-phenomenological Description for Chaotic Diffusion
  4.1 A Semi-phenomenological Approach
  4.2 Summary
 5 A Solution of the Diffusion Equation
  5.1 A Solution of the Diffusion Equation
  5.2 Summary
 6 Characterization of a Continuous Phase Transition in an Area-Preserving Map
  6.1 Evidence of a Phase Transition
  6.2 Break of Symmetry
  6.3 Order Parameter
  6.4 Topological Defects
  6.5 Elementary Excitations
  6.6 Summary
 7 Scaling Invariance for Chaotic Diffusion in a Dissipative Standard Mapping
  7.1 A Dissipative Standard Mapping
  7.2 Analytical Description of the Diffusion
  7.3 Summary
 8 Characterization of a Transition from Limited to Unlimited Diffusion
  8.1 Pieces of Evidence of a Phase Transition
  8.2 Break of Symmetry
  8.3 Order Parameter
  8.4 Topological Defects
  8.5 Elementary Excitations
  8.6 Summary
 9 Billiards with Moving Boundary
  9.1 A Billiard Dynamical System
  9.2 Unlimited Diffusion of the Velocity for the Oval Billiard
  9.3 Summary
 10 Suppression of Fermi Acceleration in Oval Billiard
  10.1 Dissipation in a Billiard
   10.1.1 Long-Stand Dynamics
   10.1.2 Time-Dependent Regime
   10.1.3 Discussion of the Phenomenological Results
   10.1.4 Time Average
   10.1.5 Determination of the Critical Exponents
   10.1.6 Distribution of Velocities
  10.2 Summary
 11 Suppressing the Unlimited Energy Gain: Shreds of Evidence of a Phase Transition
  11.1 Elements of a Phase Transition
  11.2 Break of Symmetry
  11.3 Order Parameter
  11.4 Topological Defects
  11.5 Elementary Excitations
  11.6 Summary
 References
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