Bifurcation of piecewise smooth manifolds from 3D center-type vector fields

Bifurcation theory for ordinary differential equations (34C23) Averaging method for ordinary differential equations (34C29) Discontinuous ordinary differential equations (34A36) Invariant manifolds for ordinary differential equations (34C45)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Bifurcation of limit cycles from a non-smooth perturbation of a two-dimensional isochronous cylinder
Center conditions for a class of planar rigid polynomial differential systems
Limit cycles bifurcating from isochronous surfaces of revolution in $\mathbb R^3$
Periodic orbits for perturbations of piecewise linear systems
Reduction to invariant cones for non-smooth systems
Limit cycles bifurcating from a two-dimensional isochronous cylinder
On the birth of limit cycles for non-smooth dynamical systems
Invariant manifolds for nonsmooth systems with sliding mode
Piecewise-smooth dynamical systems. Theory and applications
On the Number of Invariant Cones and Existence of Periodic Orbits in 3-dim Discontinuous Piecewise Linear Systems
Limit Cycles Bifurcating from a 2-Dimensional Isochronous Torus in ℝ³
INVARIANT TORI FULFILLED BY PERIODIC ORBITS FOR FOUR-DIMENSIONAL $\mathcal{C}^2$ DIFFERENTIAL SYSTEMS IN THE PRESENCE OF RESONANCE
Existence of Invariant Cones in General 3-Dim Homogeneous Piecewise Linear Differential Systems with Two Zones
Fixed point theory and nonlinear problems
Birth of Isolated Nested Cylinders and Limit Cycles in 3D Piecewise Smooth Vector Fields with Symmetry
Periodic orbits, invariant tori, and cylinders of Hamiltonian systems near integrable ones having a return map equal to the identity
PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
BIFURCATION OF INVARIANT CONES IN PIECEWISE LINEAR HOMOGENEOUS SYSTEMS