Global attractors of non-autonomous dissipative dynamical systems.QA614 2004-061223 981-256-028-9 Global attractors of non-autonomous dissipative dis·si·pate v. dis·si·pat·ed, dis·si·pat·ing, dis·si·pates v.tr. 1. To drive away; disperse. 2. dynamical systems Dynamical Systems A system of equations where the output of one equation is part of the input for another. A simple version of a dynamical system is linear simultaneous equations. Non-linear simultaneous equations are nonlinear dynamical systems. . Cheban, David N. (Interdisciplinary mathematical sciences; v.1) World Scientific, [c]2004 502 p. $88.00 Cheban (State U. of Moldova) examines abstract non-autonomous dissipative dynamical systems and their applications to differential equations differential equation Mathematical statement that contains one or more derivatives. It states a relationship involving the rates of change of continuously changing quantities modeled by functions. within disciplines involved in studying asymptotic behavior. He begins by describing autonomous dynamic systems, then proceeds to non-autonomous dissipative dynamical systems and analytic dissipative systems dissipative system See under open system. . he examines the structure of the Levinson center of systems with the condition of hyperbolicity, the method of Lyapunov functions, and the dissipativity of some classes of equations. He describes the upper semi-continuity of attractors, the relationship among pullback Pullback A falling back of a price from its peak. This type of price movement might be seen as a brief reversal of the prevailing upward trend, signaling a slight pause in upward momentum. , forward, and global attractors, and the pullback attractors of C-analytic systems and non-autonomous Navier- Stokes equations. He closes with descriptions of linear "almost periodic" dynamical systems and triangular maps. |
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