This book applies a step-by-step treatment of the current
state-of-the-art of ordinary differential equations used in
modeling of engineering systems/processes and beyond. It covers
systematically ordered problems, beginning with first and second
order ODEs, linear and higher-order ODEs of polynomial form, theory
and criteria of similarity, modeling approaches, phase plane and
phase space concepts, stability optimization and ending on chaos
and synchronization.
Presenting both an overview of the theory of the introductory
differential equations in the context of applicability and a
systematic treatment of modeling of numerous engineering and
physical problems through linear and non-linear ODEs, the volume is
self-contained, yet serves both scientific and engineering
interests. The presentation relies on a general treatment,
analytical and numerical methods, concrete examples and engineering
intuition.
The scientific background used is well balanced between
elementary and advanced level, making it as a unique self-contained
source for both theoretically and application oriented graduate and
doctoral students, university teachers, researchers and engineers
of mechanical, civil and mechatronic engineering.
General
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