000			02491 a2200253 4500
001			137478
003			ISI Library, Kolkata
005			20240202020005.0
008			170330b xxu||||| |||| 00| 0 eng d
020			_a9788132225553
040			_aISI Library
082	0	4	_a515.39 _223 _bL427
100	1		_aLayek, G.C., _eauthor
245	1	0	_aIntroduction to dynamical systems and chaos / _cG.C. Layek.
260			_aNew Delhi : _bSpringer, _c2015.
300			_axviii, 622 pages : _billustrations ; _c24 cm.
504			_aIncludes bibliographical references and index.
505	0		_a1. Continuous Dynamical Systems -- 2. Linear Systems -- 3. Phase Plane Analysis -- 4. Stability Theory -- 5. Oscillations -- 6. Theory of Bifurcations -- 7. Hamiltonian Systems -- 8. Symmetry Analysis -- 9. Discrete Dynamical Systems -- 10. Some Maps -- 11. Conjugacy of Maps -- 12. Chaos -- 13. Fractals.
520			_aThe book discusses continuous and discrete systems in systematic and sequential approaches for all aspects of nonlinear dynamics. The unique feature of the book is its mathematical theories on flow bifurcations, oscillatory solutions, symmetry analysis of nonlinear systems and chaos theory. The logically structured content and sequential orientation provide readers with a global overview of the topic. A systematic mathematical approach has been adopted, and a number of examples worked out in detail and exercises have been included. Chapters 1?8 are devoted to continuous systems, beginning with one-dimensional flows. Symmetry is an inherent character of nonlinear systems, and the Lie invariance principle and its algorithm for finding symmetries of a system are discussed in Chap. 8. Chapters 9?13 focus on discrete systems, chaos and fractals. Conjugacy relationship among maps and its properties are described with proofs. Chaos theory and its connection with fractals, Hamiltonian flows and symmetries of nonlinear systems are among the main focuses of this book. Over the past few decades, there has been an unprecedented interest and advances in nonlinear systems, chaos theory and fractals, which is reflected in undergraduate and postgraduate curricula around the world. The book is useful for courses in dynamical systems and chaos, nonlinear dynamics, etc., for advanced undergraduate and postgraduate students in mathematics, physics and engineering.
650		0	_aMathematics.
650		0	_aDynamics.
650		0	_aErgodic theory.
942			_2ddc _cBK _01
999			_c421458 _d421458