000			02105cam a22002535i 4500
001			136039
003			ISI Library, Kolkata
005			20150828165012.0
008			140318s2014 nyu 000 0 eng
020			_a9783319052717
040			_aISI Library
082	0	0	_a621.381533 _223 _bC993
100	1		_aCveticanin, Livija.
245	1	0	_aStrongly nonlinear oscillators : _banalytical solutions / _cLivija Cveticanin.
260			_aSwitzerland : _bSpringer, _c2014.
300			_aix, 239 p. ; _bill.
490	0		_aUndergraduate lecture notes in physics
500			_aIncludes index.
505	0		_a1. Introduction -- 2. Nonlinear Oscillators -- 3. Pure Nonlinear Oscillator -- 4. Free Vibrations -- 5. Oscillators with Time-Variable Parameters -- 6. Forced Vibrations -- 7. Two-Degree-Of-Freedom Oscillator -- 8. Chaos in Oscillators-- Appendices-- Index.
520			_aThis book provides the presentation of the motion of pure nonlinear oscillatory systems and various solution procedures which give the approximate solutions of the strong nonlinear oscillator equations. The book presents the original authors method for the analytical solution procedure of the pure nonlinear oscillator system. After an introduction, the physical explanation of the pure nonlinearity and of the pure nonlinear oscillator is given. The analytical solution for free and forced vibrations of the one-degree-of-freedom strong nonlinear system with constant and time variable parameter is considered. Special attention is given to the one and two mass oscillatory systems with two-degrees-of-freedom. The criteria for the deterministic chaos in ideal and non-ideal pure nonlinear oscillators are derived analytically. The method for suppressing chaos is developed. Important problems are discussed in didactic exercises. The book is self-consistent and suitable as a textbook for students and also for professionals and engineers who apply these techniques to the field of nonlinear oscillations.
650		0	_aNonlinear oscillators.
650		0	_aChaotic behavior in systems.
942			_2ddc _cBK
999			_c419537 _d419537