Ilyashenko, Yu.
Nonlocal bifurcations / Yu. Ilyashenko, Weigu Li - primera edición - xiii, 286 paginas. ; 26 cm. - Mathematical Surveys and Monographs No. 66 . - Mathematical Surveys and Monographs .
Structural stability and Morse-Smale systems -- Equivalence and local bifurcations in generic one-parameter families -- Homoclinic trajectories of nonhyperbolic singular points -- Preliminarties -- Prevalence -- Attractors, their dimensions and projections -- Smale horseshoe for high school students -- Some results in hyperbolic theory -- Normal forms for local families -- Bifurcations in the Plane -- Homoclinic Orbits of Nonhyperbolic Singular Points -- Homoclinic Tori and Klein Bottles of Nonhyperbolic Periodic Orbits : Noncritical Case -- Homoclinic Torus of a Nonhyperbolic Periodic Orbit : Semicritical Case -- Bifurcations of Homoclinic Trajectories of Hyperbolic Saddles -- Elements of Hyperbolic Theory -- Normal Forms for Local Families : Hyperbolic Case -- Normal Forms for Unfoldings of Saddlenodes --
0821804979
Teoria de la bifurcacion
515.35 / / I29n
Nonlocal bifurcations / Yu. Ilyashenko, Weigu Li - primera edición - xiii, 286 paginas. ; 26 cm. - Mathematical Surveys and Monographs No. 66 . - Mathematical Surveys and Monographs .
Structural stability and Morse-Smale systems -- Equivalence and local bifurcations in generic one-parameter families -- Homoclinic trajectories of nonhyperbolic singular points -- Preliminarties -- Prevalence -- Attractors, their dimensions and projections -- Smale horseshoe for high school students -- Some results in hyperbolic theory -- Normal forms for local families -- Bifurcations in the Plane -- Homoclinic Orbits of Nonhyperbolic Singular Points -- Homoclinic Tori and Klein Bottles of Nonhyperbolic Periodic Orbits : Noncritical Case -- Homoclinic Torus of a Nonhyperbolic Periodic Orbit : Semicritical Case -- Bifurcations of Homoclinic Trajectories of Hyperbolic Saddles -- Elements of Hyperbolic Theory -- Normal Forms for Local Families : Hyperbolic Case -- Normal Forms for Unfoldings of Saddlenodes --
0821804979
Teoria de la bifurcacion
515.35 / / I29n