Global Aspects of Homoclinic Bifurcations of Vector Fields.
Homburg, Ale J.
Global Aspects of Homoclinic Bifurcations of Vector Fields. - 1st ed. - 1 online resource (143 pages) - Memoirs of the American Mathematical Society ; v.121 . - Memoirs of the American Mathematical Society .
Intro -- Contents -- 1 Introduction -- 2 Invariant manifolds and foliations -- 2.1 Construction of foliations and invariant manifolds -- 2.2 Saddle-saddle type homoclinic bifurcation -- 2.3 Generalized homoclinic orbits -- 3 Homoclinic intermittency -- 3.1 Properties of the Poincare return map -- 3.2 An orientable centre manifold -- 3.3 A nonorientable centre manifold -- 4 Suspended basic sets -- 4.1 Properties of the Poincare return map -- 4.2 The orientable suspended horseshoe -- 4.3 The nonorientable suspended horseshoe -- 4.4 Several generalized homoclinic orbits -- Appendix A: Invariant foliations -- A.1 Linearisation on a centre manifold -- A.2 Smoothness of foliations -- Bibliography.
9781470401634
Bifurcation theory.
Vector fields.
Differentiable dynamical systems.
Electronic books.
QA380 -- .H663 1996eb
515/.352
Global Aspects of Homoclinic Bifurcations of Vector Fields. - 1st ed. - 1 online resource (143 pages) - Memoirs of the American Mathematical Society ; v.121 . - Memoirs of the American Mathematical Society .
Intro -- Contents -- 1 Introduction -- 2 Invariant manifolds and foliations -- 2.1 Construction of foliations and invariant manifolds -- 2.2 Saddle-saddle type homoclinic bifurcation -- 2.3 Generalized homoclinic orbits -- 3 Homoclinic intermittency -- 3.1 Properties of the Poincare return map -- 3.2 An orientable centre manifold -- 3.3 A nonorientable centre manifold -- 4 Suspended basic sets -- 4.1 Properties of the Poincare return map -- 4.2 The orientable suspended horseshoe -- 4.3 The nonorientable suspended horseshoe -- 4.4 Several generalized homoclinic orbits -- Appendix A: Invariant foliations -- A.1 Linearisation on a centre manifold -- A.2 Smoothness of foliations -- Bibliography.
9781470401634
Bifurcation theory.
Vector fields.
Differentiable dynamical systems.
Electronic books.
QA380 -- .H663 1996eb
515/.352