Applications of bifurcation theory: proceedings of an advanced seminar
by University of Wisconsin--Madison, Mathematics Research Center, Advanced Seminar on Applications of Bifurcation Theory, Madison, Wis, Rabinowitz, Paul H.
fromPublication ... of the Mathematics Research Center, the Uni…
Applications of bifurcation theory: proceedings of an Advanced Seminar conducted by t…
by University of Wisconsin--Madison, Mathematics Research Center, Rabinowitz, Paul H., Advanced Seminar on Applications of Bifurcation Theory, (Madison
fromPublication of the Mathematics Research Center, United Stat…
Global Bifurcations and Chaos: Analytical Methods is unique in the literature of chaos in that it not only defines the concept of chaos in deterministic systems, but it describes the mechanisms which give rise to chaos (i.e., homoclinic and heteroclinic motions) and derives expl…
The author investigates a class of smooth one parameter families of vector fields on some [italic]n-dimensional manifold, exhibiting a homoclinic bifurcation. This study is not confined to a small neighborhood of the homoclinic orbit. The position of the stable and unstable set …
This work comprises a general study of symmetry breaking for compact Lie groups in the context of equivariant bifurcation theory. We begin by extending the theory developed by Field and Richardson for absolutely irreducible representations of finite groups to general irreducible…
This important paper is destined to be cited more often for the innovative techniques that are introduced rather than for the specific results that are proved. The proofs of the asymptotic formulas and the geometric explanation of the canard phenomenon are all highly nontrivial,…
This book presents the fundamentals of ergodic theory as well as selected advanced topics.
"Based on a lecture course at the Ecole Polytechnique (Paris), this text gives a rigorous introduction to many of the key ideas in nonlinear analysis, dynamical systems and bifurcation theory including catastrophe theory. Wherever appropriate it emphasizes a geometrical or coord…