Stochastic Differential Equations

This ebook supplies an creation to the fundamental idea of stochastic calculus and its functions. Examples are given in the course of the textual content, in an effort to encourage and illustrate the speculation and convey its significance for plenty of functions in e. g. economics, biology and physics. the fundamental notion of the presentation is to begin from a few simple effects (without proofs) of the better circumstances and strengthen the idea from there, and to pay attention to the proofs of the simpler case (which however are usually sufficiently common for lots of reasons) for you to be capable of achieve speedy the elements of the idea that's most crucial for the functions.

Algebraic Methods for Nonlinear Control Systems (Communications and Control Engineering)

This can be a self-contained creation to algebraic keep watch over for nonlinear structures compatible for researchers and graduate scholars. it's the first publication facing the linear-algebraic method of nonlinear keep an eye on structures in this type of certain and vast type. It offers a complementary method of the extra conventional differential geometry and offers extra simply with a number of vital features of nonlinear structures.

Hyperbolic Chaos: A Physicist’s View

"Hyperbolic Chaos: A Physicist’s View” provides contemporary development on uniformly hyperbolic attractors in dynamical platforms from a actual instead of mathematical point of view (e. g. the Plykin attractor, the Smale – Williams solenoid). The structurally sturdy attractors occur robust stochastic houses, yet are insensitive to edition of services and parameters within the dynamical platforms.

Fundamentals of complex networks : models, structures, and dynamics

Complicated networks resembling the net, WWW, transportation networks, energy grids, organic neural networks, and clinical cooperation networks of all types supply demanding situations for destiny technological improvement. • the 1st systematic presentation of dynamical evolving networks, with many updated functions and homework initiatives to augment research• The authors are all very energetic and famous within the speedily evolving box of complicated networks• complicated networks have gotten an more and more vital quarter of analysis• awarded in a logical, positive type, from simple via to complicated, studying algorithms, via to build networks and study demanding situations of the long run