Titlebook: Nonlinear Symmetries and Nonlinear Equations; Giuseppe Gaeta Book 1994 Springer Science+Business Media Dordrecht 1994 bifurcation.differen

cyanosis

https://doi.org/10.1007/978-94-011-1018-1bifurcation; differential equation; dynamical systems; geometry; mathematical physics; ordinary different

conception

Implicit

Examples,onsidered in chapter X, where we consider physical applications of the theory; here instead we concentrate on very simple (or trivial) examples, to be discussed in full detail for the benefit of the reader.

considerable

Further Developements,tually open fields and questions. We have chosen not to include those topics for which a comprehensive treatment is available either in books either in review or introductory papers; some notes on these appear in the ”missing sections” section.

alabaster

殺菌劑

saphenous-vein

Variational problems,In this volume we are not particularly concerned with variational problems, although we shortly deal with Lagrangian and Hamiltonian mechanics in chapt. IV, and will consider gauge theories - which are set in variational terms - in chapts. VII and VIII.

Acclaim

放棄

Vasoconstrictor

Reduction and equivariant branching lemma,One of the simplest yet most useful tools in equivariant bifurcation theory is the so called ”Equivariant Branching Lemma” (EBL in the following), as already discussed in the previous chapter.