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020 _a9781032150468
020 _a9780367236151
040 _aDLC
_cBD-DhNSU
_dBD-DhNSU
041 _aeng
050 0 0 _aQA614.8
_b.D48 2022
082 0 0 _a515/.352
_223
100 1 _aDevaney, Robert L.,
245 1 3 _aAn introduction to chaotic dynamical systems /
_cRobert L. Devaney.
250 _a3rd ed.
260 _aBoca Raton :
_bTaylor and Francis,
_cc2022.
300 _axxi, 419 p. :
_bill. ;
_c25 cm.
504 _aIncludes bibliographical references and index.
520 _a"There is an explosion of interest in dynamical systems in the mathematical community as well as in many areas of science. The results have been truly exciting: systems which once seemed completely intractable from an analytic point of view can now be understood in a geometric or qualitative sense rather easily. Scientists and engineers realize the power and the beauty of the geometric and qualitative techniques. These techniques apply to a number of important nonlinear problems ranging from physics and chemistry to ecology and economics. Computer graphics have allowed us to view the dynamical behavior geometrically. The appearance of incredibly beautiful and intricate objects such as the Mandelbrot set, the Julia set, and other fractals have really piqued interest in the field. This text is aimed primarily at advanced undergraduate and beginning graduate students. Throughout, the author emphasizes the mathematical aspects of the theory of discrete dynamical systems, not the many and diverse applications of this theory. The field of dynamical systems and especially the study of chaotic systems has been hailed as one of the important breakthroughs in science in the past century and its importance continues to expand. There is no question that the field is becoming more and more important in a variety of scientific disciplines"--
526 _aMathematics, Physics and Statistics
590 _aSumaiya Kainat Bintey Kohinoor
650 0 _aDifferentiable dynamical systems.
650 0 _aChaotic behavior in systems.
942 _2lcc
_cBK
999 _c30574
_d30574