### Read e-book online Smooth and Nonsmooth High Dimensional Chaos and the PDF

By Jan Awrejcewicz, Mariusz M. Holicke

ISBN-10: 9812709096

ISBN-13: 9789812709097

ISBN-10: 981270910X

ISBN-13: 9789812709103

This e-book makes a speciality of the advance of Melnikov-type equipment utilized to excessive dimensional dynamical structures ruled by means of usual differential equations. even though the classical Melnikov's method has chanced on a variety of functions in predicting homoclinic intersections, it really is committed merely to the research of three-d structures (in the case of mechanics, they signify one-degree-of-freedom nonautonomous systems). This publication extends the classical Melnikov's method of the research of excessive dimensional dynamical structures, and makes use of basic versions of dry friction to analytically expect the incidence of either stick-slip and slip-slip chaotic orbits, examine that's very hardly stated within the present literature even on one-degree-of-freedom nonautonomous dynamics.

This pioneering try and are expecting the prevalence of deterministic chaos of nonlinear dynamical platforms will allure many researchers together with utilized mathematicians, physicists, in addition to training engineers. Analytical formulation are explicitly formulated step by step, even attracting strength readers with no rigorous mathematical heritage.