Titlebook: Linear, Time-varying Approximations to Nonlinear Dynamical Systems; with Applications in María Tomás-Rodríguez,Stephen P. Banks Book 2010 S

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Lie Algebraic Methods,In this chapter we shall consider systems of the form.where . and . is the Lie algebra of a Lie group .. The classical structure theory of Lie groups and Lie algebras (see Appendix B and [1,2]) will be used to decompose the system (10.1) into simpler subsystems in a way which generalises the classical Jordan decomposition of single matrices.

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Summary, Conclusions and Prospects for Development,ations of the method by using two illustrative examples which are now in the process of development. One is the application of the method to the problem of travelling waves in nonlinear partial differential equations and the other is to the separation theorem for nonlinear stochastic systems.

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0170-8643 can handle.Although the methods outlined are novel, they ca.Linear, Time-varying Approximations to Nonlinear Dynamical Systems. introduces a new technique for analysing and controlling nonlinear systems. This method is general and requires only very mild conditions on the system nonlinearities, set

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