Regular and chaotic dynamics/
A.J. Lichtenberg
- 2nd ed.
- New York: Springer-Verlag, c1992.
- xxii, 692 p. : ill. ; 25 cm.
- (Applied mathematical sciences), v. 38 .
1 Overview and Basic Concepts -- 2 Canonical Perturbation Theory -- 3 Mappings and Linear Stability -- 4 Transition to Global Stochasticity -- 5 Stochastic Motion and Diffusion -- 6 Three or More Degrees of Freedom -- 7 Bifurcation Phenomena and Transition to Chaos in Dissipative Systems -- 8 Chaotic Motion in Dissipative Systems -- Appendix A -- Applications -- A.1. Planetary Motion -- A.2. Accelerators and Beams -- A.3. Charged Particle Confinement -- A.4. Charged Particle Heating -- A.5. Chemical Dynamics -- A.6. Quantum Systems -- Author Index.
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Nonlinear oscillations Stochastic processes Hamiltonian systems Mathematical analysis Mathematics