Dynamical Systems Generated by Linear Maps

Introduction.- Vector trajectory.- The Jordan basis and special subspaces.- Representation of the vector trajectory.- The structures related to the principal term of the vector Trajectory.- The asymptotic behavior of vector trajectories and trajectories of one-dimensional subspaces.- The geometric approach.- The geometric approach: an operator with one point spectrum.- The convergence of a subspace trajectory for an arbitrary operator.- The applications to weighted shift operators.- The spectrum of weighted shift operator.- The subtle spectral properties.- The weighted shift operators in spaces of vector functions.

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• Dinâmica e vibração
• Cibernética e teoria dos sistemas
• Ciência não-linear

Dynamical Systems;Geometric Approach;Grassmann Manifold;Linear Maps;Spectral Properties;Subspace Trajectory;Vector Trajectory;Weighted Shift Operator;complexity