Attractors of Strongly Dissipative Systems

• Autorzy: A. G. Ramm
• Języki publikacji: EN

Abstrakty

EN

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 is provided by passive systems in network theory (see, e.g., MR0601947 (83m:45002)).

Kategorie tematyczne

• 78A40: Waves and radiation
• 47J35: Nonlinear evolution equations
• 47H05: Monotone operators and generalizations
• 37L99: None of the above, but in this section
• 80A30: Chemical kinetics
• 47H20: Semigroups of nonlinear operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2009
• Tom: 57
• Numer: 1
• Strony: 25-31

Daty

wydano

2009

Twórcy

autor

A. G. Ramm

• Mathematics Department, Kansas State University, Manhattan, KS 66506-2602, U.S.A.

Identyfikatory

DOI

10.4064/ba57-1-3