Regular and Chaotic Dynamics

1. Front Matter

   Pages i-xv

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2. Overview and Basic Concepts

   • A. J. Lichtenberg, M. A. Lieberman

   Pages 1-69

3. Canonical Perturbation Theory

   • A. J. Lichtenberg, M. A. Lieberman

   Pages 70-161

4. Mappings and Linear Stability

   • A. J. Lichtenberg, M. A. Lieberman

   Pages 162-244

5. Transition to Global Stochasticity

   • A. J. Lichtenberg, M. A. Lieberman

   Pages 245-292

6. Stochastic Motion and Diffusion

   • A. J. Lichtenberg, M. A. Lieberman

   Pages 293-372

7. Three or More Degrees of Freedom

   • A. J. Lichtenberg, M. A. Lieberman

   Pages 373-456

8. Bifurcation Phenomena and Transition to Chaos in Dissipative Systems

   • A. J. Lichtenberg, M. A. Lieberman

   Pages 457-569

9. Chaotic Motion in Dissipative Systems

   • A. J. Lichtenberg, M. A. Lieberman

   Pages 570-643

10. Back Matter

    Pages 644-693

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What's in a name? The original title of our book, Regular and Stochastic Motion, was chosen to emphasize Hamiltonian dynamics and the physical motion of bodies. The new edition is more evenhanded, with considerably more discussion of dissipative systems and dynamics not involving physical motion. To reflect this partial change of emphasis, we have substituted the more general terms in our title. The common usage of the new terms clarifies the emphasis of the book. The main change in the book has been to expand the sections on dissipative dynamics, including discussion of renormalization, circle maps, intermittancy, crises, transient chaos, multifractals, reconstruction, and coupled mapping systems. These topics were either mainly in the mathemati­ cal literature or essentially unstudied when our first edition was written. The volume of work in these areas has surpassed that in Hamiltonian dynamics within the past few years. We have also made changes in the Hamiltonian sections, adding many new topics such as more general transformation and stability theory, connected stochasticity in two-dimensional maps, converse KAM theory, new topics in diffusion theory, and an approach to equilibrium in many dimensions. Other sections such as mapping models have been revised to take into account new perspectives. We have also corrected a number of misprints and clarified various arguments with the help of colleagues and students, some of whom we acknowledge below. We have again chosen not to treat quantum chaos, partly due to our own lack ofacquaintance with the subject.

• Hamiltonsche Bewegungsgleichungen
• Motion
• Nichtlineare Schwingung
• Stochastischer Prozess
• Störung (Math.)
• differential equation

• Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, USA

  A. J. Lichtenberg, M. A. Lieberman

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