Hopf Bifurcation in Filippov Systems

2017-01-01
Akhmet, Marat
Kashkynbayev, Ardak
BIFURCATION IN AUTONOMOUS AND NONAUTONOMOUS DIFFERENTIAL EQUATIONS WITH DISCONTINUITIES

Suggestions

Hopf Bifurcation in Impulsive Systems
Akhmet, Marat; Kashkynbayev, Ardak (2017-01-01)
Mössbauer-Effect Study of Fine Atomic Structure of Fe-Ni-C Alloys
Binnatov, Kahraman; Mehrabov, Amdulla (TÜBİTAK, 2001-03-01)
Lefschetz fibrations on 4-manifolds
Korkmaz, Mustafa (2009-01-01)
Lefschetz pencils and fibrations were introduced for studying topological properties of smooth complex projective varieties. More recently, as an application of Donaldson’s asymptotically holomorphic methods [13], Lefschetz pencils have been found on all symplectic manifolds [14], [15]. Conversely, Gompf showed that a 4-manifold admitting a Lefschetz pencil/fibration carries a symplectic structure [23], [24]. Since symplectic 4-manifolds play a prominent role in modern low-dimensional topology, the Donaldso...
Lefschetz Fibrations on 4-manifolds
Korkmaz, Mustafa (European Mathematical Society, 2009-01-01)
We explicitly construct genus-2 Lefschetz fibrations whose total spaces are minimal symplectic 4-manifolds homeomorphic to complex rational surfaces for , and to for . Complementarily, we prove that there are no minimal genus-2 Lefschetz fibrations whose total spaces are homeomorphic to any other simply-connected 4-manifold with , with one possible exception when . Meanwhile, we produce positive Dehn twist factorizations for several new genus-2 Lefschetz fibrations with small number of critical points, incl...
Runge-Kutta collocation methods for rigid body Lie-Poisson equations
Ergenc, T; Karasözen, Bülent (1996-01-01)
The rigid body Lie-Poisson structure in three dimensions is considered. We show that the symplectic collocation type Runge-Kutta methods preserve the one-form of the underlying system. The linear error growth, energy and momentum conservation properties of the numerical solutions are discussed for Euler top equation.
Citation Formats
M. Akhmet and A. Kashkynbayev, “Hopf Bifurcation in Filippov Systems,” BIFURCATION IN AUTONOMOUS AND NONAUTONOMOUS DIFFERENTIAL EQUATIONS WITH DISCONTINUITIES, pp. 65–96, 2017, Accessed: 00, 2022. [Online]. Available: https://hdl.handle.net/11511/99274.