Bøger af Marat Akhmet

This book focuses on bifurcation theory for autonomous and nonautonomous differential equations with discontinuities of different types - those with jumps present either in the right-hand side, or in trajectories or in the arguments of solutions of equations.

This book presents detailed descriptions of chaos for continuous-time systems. It is the first-ever book to consider chaos as an input for differential and hybrid equations. The findings strongly suggest that chaos theory can proceed from the theory of differential equations to a higher level than previously thought.

This monograph examines a wide range of neural networks models with discontinuities, including impulsive differential equations, differential equations with piecewise constant arguments, and models of mixed type.

This book examines the author's recently-introduced theory of equations with piece-wise constant argument of generalized type, demonstrating its use in the modeling of such real world problems as neural networks, blood pressure distribution and others.

Devoted to the theory of variable moment impulse differential equations, this volume sets out a new way of equalizing systems whose solutions have prescribed impulse moments It shows how to use special topologies in spaces of piecewise continuous functions.