By Edward Beltrami
Organized into elements encompassing 9 chapters, this booklet starts off with an outline of the notions of equilibrium and balance in differential equation modeling that take place within the guise of easy types within the aircraft. this article then specializes in nonlinear versions within which the proscribing habit of orbits will be extra advanced. different chapters reflect on the issues that illustrate the thoughts of equilibrium and balance, restrict cycles, chaos, and bifurcation. This ebook discusses besides numerous issues, together with cusp catastrophes, unusual attractors, and reaction–diffusion and surprise phenomena. the ultimate bankruptcy bargains with versions which are in accordance with the thought of optimization.
This publication is meant to be compatible for college students in top undergraduate and first-year graduate path in mathematical modeling.
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Mathematics for Dynamic Modeling by Edward Beltrami