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Dynamical systems : stability, symbolic dynamics, and chaos
Autor: Robinson, Clark
Rok: 1999
ISBN: 9780849384950
OKCZID: 110057243
Vydání: 2nd ed.
Citace (dle ČSN ISO 690):
ROBINSON, Clark. Dynamical systems: stability, symbolic dynamics, and chaos. 2nd ed. Boca Raton: CRC Press, 1999. 506 p. Studies in Advanced Mathematics.
Anotace
Several distinctive aspects make Dynamical Systems unique, including:otreating the subject from a mathematical perspective with the proofs of most of the results includedoproviding a careful review of background materialsointroducing ideas through examples and at a level accessible to a beginning graduate studentofocusing on multidimensional systems of real variablesThe book treats the dynamics of both iteration of functions and solutions of ordinary differential equations. Many concepts are first introduced for iteration of functions where the geometry is simpler, but results are interpreted for differential equations. The dynamical systems approach of the book concentrates on properties of the whole system or subsets of the system rather than individual solutions. The more local theory discussed deals with characterizing types of solutions under various hypothesis, and later chapters address more global aspects.