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Readers learn to predict and control low- and high-dimensional as well as continuous- and discrete-time nonlinear systems dynamics in complex variables. In the final chapter, all the previously developed methods are used to present the "Holy Grail" of modern physical and cosmological science, the search for the "theory of everything" and the "true" cosmological dynamics.
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From the reviews: "The book under review presents, in a concise and simple manner, complex dynamical systems, both low- (such as flows in the complex-plane and Riemann sphere) and high-dimensional (flows in complex manifolds), within the continuous- and discrete-time pictures. ... a broad reflection of the current state of the science of complex dynamics. It is a valuable book to read for serious readers who are interested in the whole spectrum of problems related to complex-valued nonlinear dynamics and in how to directly apply them in the research." (Eugene Kryachko, Zentralblatt MATH, Vol. 1134 (12), 2008)
Readers learn to predict and control low- and high-dimensional as well as continuous- and discrete-time nonlinear systems dynamics in complex variables. In the final chapter, all the previously developed methods are used to present the "Holy Grail" of modern physical and cosmological science, the search for the "theory of everything" and the "true" cosmological dynamics.
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