Transversality

This unique book comprehensively covers the evolving field of transversality, globalization and education, and presents creative, research-based thought experiments that seek to unravel the forces of globalization impacting education.

This unique book comprehensively covers the evolving field of transversality, globalization and education, and presents creative, research-based thought experiments that seek to unravel the forces of globalization impacting education.

This unique book comprehensively covers the evolving field of transversality, globalization and education, and presents creative, research-based thought experiments that seek to unravel the forces of globalization impacting education.

This unique book comprehensively covers the evolving field of transversality, globalization and education, and presents creative, research-based thought experiments that seek to unravel the forces of globalization impacting education.

Focusing on the theory of shadowing of approximate trajectories (pseudotrajectories) of dynamical systems, this book surveys recent progress in establishing relations between shadowing and such basic notions from the classical theory of structural stability as hyperbolicity and transversality.
Special attention is given to the study of "quantitative" shadowing properties, such as Lipschitz shadowing (it is shown that this property is equivalent to structural stability both for diffeomorphisms and smooth flows), and to the passage to robust shadowing (which is also equivalent to structural stability in the case of diffeomorphisms, while the situation becomes more complicated in the case of flows).