By Laura Menini,Antonio Tornambè
This booklet info the research of constant- and discrete-time dynamical structures defined via differential and distinction equations respectively. Differential geometry offers the instruments for this, corresponding to first-integrals or orbital symmetries, including basic varieties of vector fields and of maps. a very important aspect of the research is linearization through country immersion.
The thought is constructed for basic nonlinear structures and really expert for the category of Hamiltonian platforms. through the use of the robust geometric constitution of Hamiltonian structures, the implications proposed are acknowledged in a distinct, much less complicated and extra simply understandable demeanour. they're utilized to bodily influenced platforms, to illustrate how a lot perception into recognized houses is won utilizing those thoughts. a number of keep an eye on platforms purposes of the thoughts are characterised together with: computation of the stream of nonlinear structures; computation of semi-invariants; computation of Lyapunov capabilities for balance research and observer design.
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Symmetries and Semi-invariants in the Analysis of Nonlinear Systems by Laura Menini,Antonio Tornambè