000			a
999			_c30940 _d30940
008			220528b xxu||||| |||| 00| 0 eng d
020			_a9781032150468
082			_a515.352 _bDEV
100			_aDevaney, Robert L.
245			_aIntroduction to chaotic dynamical systems
250			_a3rd ed.
260			_bCRC Press, _c2022 _aBoca Raton :
300			_axiii, 419 p. ; _bill., _c24 cm
365			_b74.99 _cGBP _d102.80
504			_aIncludes bibliographical references and index.
520			_aThere 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.
650			_aDifferentiable dynamical systems
650			_aChaotic behavior in systems
650			_aArithmetic
650			_aDifferential Equations
650			_aMathematics
650			_aAttractor
650			_a Bifucation theory
650			_aCantor function
650			_aDiffeomorphism
650			_a Elliptic function
650			_a Fixed point
650			_aHomeomorphism
650			_a Homoclinic
650			_aHyperbolic set
650			_a Inverse Function Theorem
650			_a Julia set
650			_aLiapounov function
650			_a Mean value Theorem
650			_aPeriodic points
650			_aPhase portrait
650			_aRiemann sphere
650			_a Sharkovskys's Theorem
650			_aTopological dimension
942			_2ddc _cBK