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200 04$aThe effect of what was spoken by Sir John Lowther to the King, at the desire of several members of Parliament, that dined together, on Wednesday, January 29, 1689$b[electronic resource]
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200 10$aSymbolic Analysis of Dynamical Systems /$fby George Osipenko
205   $a1st ed. 2025.
210  1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2025.
215   $a1 online resource (370 pages)
225 1 $aMathematical Marvels: Texts and Monographs in the Spirit of CR Rao,$x3005-1975
311 08$a981-9507-12-X 
327   $aIntroduction -- Symbolic Image of Dynamic System -- Shadowing of Trajectories -- Attractors and Filtrations -- Invariant measures -- Ergodic Measures -- Entropy -- Averaging -- Lyapunov Exponent -- Numerical Exploration -- Appendix.
330   $aThis book is devoted to the study of the global properties of the dynamical systems. It gives a justification of using numerical methods for solving several problems such as localization of a chain-recurrent set of trajectories, construction of attractors and their domains of attraction, construction of filtrations, calculation of invariant measures, approximation of ergodic measures, estimation of the entropy of a dynamical system, calculation of the averaging spectrum of a function, calculation of the Morse spectrum, a test for the hyperbolicity of a dynamical system. The book is intended for researchers in dynamical systems and their applications in many scientific and technical disciplines, including engineering, physics, chemistry, biology, economics, and demography.
410  0$aMathematical Marvels: Texts and Monographs in the Spirit of CR Rao,$x3005-1975
606   $aDynamics
606   $aFunctional analysis
606   $aDifferential equations
606   $aDynamical Systems
606   $aFunctional Analysis
606   $aDifferential Equations
615  0$aDynamics.
615  0$aFunctional analysis.
615  0$aDifferential equations.
615 14$aDynamical Systems.
615 24$aFunctional Analysis.
615 24$aDifferential Equations.
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