Attractors of strongly dissipative systems
نویسنده
چکیده
A class of infinite-dimensional dissipative dynamical systems is defined for which there exists a unique equilibrium point, and the rate of convergence to this point of the trajectories of a dynamical system from the above class is exponential. All the trajectories of the system converge to this point as t → +∞, no matter what the initial conditions are. This class consists of strongly dissipative systems. An example of such systems provide passive systems in network theory (see, e.g., MR0601947 (83m:45002)).
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تاریخ انتشار 2009