This monograph develops a generalised energy flow theory to
investigate non-linear dynamical systems governed by ordinary
differential equations in phase space and often met in various science
and engineering fields. Important nonlinear phenomena such as,
stabilities, periodical orbits, bifurcations and chaos are tack-led
and the corresponding energy flow behaviors are revealed using the
proposed energy flow approach. As examples, the common interested
nonlinear dynamical systems, such as, Duffing’s oscillator, Van der
Pol’s equation, Lorenz attractor, Rössler one and SD oscillator,
etc, are discussed. This monograph lights a new energy flow research
direction for nonlinear dynamics. A generalised Matlab code with User
Manuel is provided for readers to conduct the energy flow analysis of
their nonlinear dynamical systems. Throughout the monograph the author
continuously returns to some examples in each chapter to illustrate
the applications of the discussed theory and approaches. The book can
be used as an undergraduate or graduate textbook or a comprehensive
source for scientists, researchers and engineers, providing the
statement of the art on energy flow or power flow theory and methods.
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Produktdetaljer
ISBN
9783319177410
Publisert
2018
Utgiver
Vendor
Springer
Språk
Product language
Engelsk
Format
Product format
Digital bok
Forfatter