TY - BOOK ID - 88203328 TI - Nonlinearity and chaos in molecular vibrations PY - 2005 SN - 9780444519061 0444519068 0080459072 9780080459073 9786610638352 1280638354 PB - Boston : Elsevier, DB - UniCat KW - Mathematical statistics KW - Molecular rotation. KW - Nonlinear theories. KW - Chaotic behavior in systems. KW - Chaos in systems KW - Chaos theory KW - Chaotic motion in systems KW - Differentiable dynamical systems KW - Dynamics KW - Nonlinear theories KW - System theory KW - Nonlinear problems KW - Nonlinearity (Mathematics) KW - Calculus KW - Mathematical analysis KW - Mathematical physics KW - Hindered rotation theory KW - Internal rotation (Molecular) KW - Molecules KW - Rotation spectra KW - Molecular dynamics KW - Stereochemistry KW - Internal rotation UR - https://www.unicat.be/uniCat?func=search&query=sysid:88203328 AB - Nonlinearity and Chaos in Molecular Vibrations deals systematically with a Lie algebraic approach to the study of nonlinear properties of molecular highly excited vibrations. The fundamental concepts of nonlinear dynamics such as chaos, fractals, quasiperiodicity, resonance, and the Lyapunov exponent, and their roles in the study of molecular vibrations are presented. The 20 chapters cover the basic ideas, the concept of dynamical groups, the integrable two-mode SU(2) system, the unintegrable three-mode SU(3) system, the noncompact su(1,1) algebraic application, su(3) symmetry brea ER -