Ramsey theory is a relatively new, approximately 100 year-old direction of fascinating mathematical thought that touches on many classic fields of mathematics such as combinatorics, number theory, geometry, ergodic theory, topology, combinatorial geometry, set theory, and measur…
A timely, accessible introduction to the mathematics of chaos. The past three decades have seen dramatic developments in the theory of dynamical systems, particularly regarding the exploration of chaotic behavior. Complex patterns of even simple processes arising in biology, che…
"The past three decades have seen dramatic developments in the theory of dynamical systems, particularly regarding the exploration of chaotic behavior. Complex patterns of even simple processes arising in biology, chemistry, physics, engineering, economics, and a host of other d…
A timely, accessible introduction to the mathematics of chaos.The past three decades have seen dramatic developments in the theory of dynamical systems, particularly regarding the exploration of chaotic behavior. Complex patterns of even simple processes arising in biology, chem…
Front Cover; Contents; Preface; Acknowledgments; 1. Introduction; 2. Lyapunov's Direct Method for Uncertain Systems; 3. Stability of Uncertain Controlled Systems; 4. Stability of Quasilinear Uncertain Systems; 5. Stability of Large-Scale Uncertain Systems; 6. Interval and Parame…
This self-contained book provides systematic instructive analysis of uncertain systems of the following types: ordinary differential equations, impulsive equations, equations on time scales, singularly perturbed differential equations, and set differential equations. Each chapte…
A concise review of current research developments, this self-contained book provides systematic instructive analysis of uncertain systems of the following types: ordinary differential equations, impulsive equations, equations on time scales, singularly perturbed differential equ…
This self-contained book provides systematic instructive analysis of uncertain systems of the following types: ordinary differential equations, impulsive equations, equations on time scales, singularly perturbed differential equations, and set differential equations. Each chapte…
1. Series on number theory and its applications -- 2. Caianiello's equations -- 3. Rotation numbers -- 4. Classification of [symbol] -- 5. Farey series -- 6. Further investigation of [symbols] -- 7. Limit sets [symbol] and [symbol] -- 8. Piecewise linear maps -- 9. Orbital and i…
This unique volume presents a fruitful and beautiful mathematical world hidden in Caianiello's neuronic equations, which describe the instantaneous behavior of a model of a brain or thinking machine. The detailed analysis from a viewpoint of "dynamical systems", even in a single…
by Temam, Roger, Foiaş, Ciprian, Nicolaenko, Basil, AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on the Connection Between Infinite and Finite Dimensional Dynamical Systems, Boulder), American Mathematical Society, Institute of Mathematical Statistics, Society for Industrial and Applied Mathematics
by Temam, Roger, Foiaðs, Ciprian, Nicolaenko, Basil, American Mathematical Society, Institute of Mathematical Statistics, Society for Industrial and Applied Mathematics, AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on the Connection between Infinite and Finite Dimensional Dynamical Systems
by Temam, Roger, Foiaş, Ciprian, Nicolaenko, Basil, AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on the Connection between Infinite and Finite Dimensional Dynamical Systems, University of Colorado, Boulder), American Mathematical Society, Institute of Mathematical Statistics, Society for Industrial and Applied Mathematics
