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Analysis and Simulation of Chaotic Systems (Paperback, 2nd ed. 2000. Softcover reprint of the original 2nd ed. 2000)
Loot Price: R1,573
Discovery Miles 15 730
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Analysis and Simulation of Chaotic Systems (Paperback, 2nd ed. 2000. Softcover reprint of the original 2nd ed. 2000)
Series: Applied Mathematical Sciences, 94
Expected to ship within 10 - 15 working days
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Beginning with realistic mathematical or verbal models of physical
or biological phenomena, the author derives tractable models for
further mathematical analysis or computer simulations. For the most
part, derivations are based on perturbation methods, and the
majority of the text is devoted to careful derivations of implicit
function theorems, the method of averaging, and quasi-static state
approximation methods. The duality between stability and
perturbation is developed and used, relying heavily on the concept
of stability under persistent disturbances. Relevant topics about
linear systems, nonlinear oscillations, and stability methods for
difference, differential-delay, integro-differential and ordinary
and partial differential equations are developed throughout the
book. For the second edition, the author has restructured the
chapters, placing special emphasis on introductory materials in
Chapters 1 and 2 as distinct from presentation materials in
Chapters 3 through 8. In addition, more material on bifurcations
from the point of view of canonical models, sections on randomly
perturbed systems, and several new computer simulations have been
added.
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