Add to ORKGWe consider families of maps on the interval with one maximum, and prove the geometric convergence of the bifurcation parameter for the case of superstable periodic orbits converging towards the final aperiodic regime
Convergence to a period one fixed point is investigated for both logistic and cubic maps. For the lo...
AbstractThe generic isolated bifurcations for one-parameter families of smooth planar vector fields ...
Planar piecewise linear systems with two linearity zones separated by a straight line and with a per...
Abstract. We consider iterates of maps of an interval to itself and their stable periodic orbits. Wh...
ABSTRACT. We introduce a quantitative condition on orbits of dynamical systems which measures their ...
The Birkhoff normal form, for the neighbourhood of an unstable fixed point of an analytical area pre...
. The relation between recurrent behavior and the absence of a stable periodic orbit is discussed fo...
We investigate the convergence towards periodic orbits in discrete dynamical systems. We examine the...
Paterson [1] has recently shown that the trivial necessary conditions are sufficient for the existen...
Let gα be a one-parameter family of one-dimensional maps with a cascade of period doubling bifurcati...
We investigate the convergence towards periodic orbits in discrete dynamical systems. We examine the...
In the Cournot duopoly game with unimodal piecewise-linear reaction functions (tent maps) proposed b...
A few mathematical problems arising in the classical synchronization theory are discussed; especiall...
Period doubling of a periodic orbit of an area preserving map appears to lead to the elimination of ...
A rational map f is called geometrically finite if every critical point contained in its Julia set i...
Convergence to a period one fixed point is investigated for both logistic and cubic maps. For the lo...
AbstractThe generic isolated bifurcations for one-parameter families of smooth planar vector fields ...
Planar piecewise linear systems with two linearity zones separated by a straight line and with a per...
Abstract. We consider iterates of maps of an interval to itself and their stable periodic orbits. Wh...
ABSTRACT. We introduce a quantitative condition on orbits of dynamical systems which measures their ...
The Birkhoff normal form, for the neighbourhood of an unstable fixed point of an analytical area pre...
. The relation between recurrent behavior and the absence of a stable periodic orbit is discussed fo...
We investigate the convergence towards periodic orbits in discrete dynamical systems. We examine the...
Paterson [1] has recently shown that the trivial necessary conditions are sufficient for the existen...
Let gα be a one-parameter family of one-dimensional maps with a cascade of period doubling bifurcati...
We investigate the convergence towards periodic orbits in discrete dynamical systems. We examine the...
In the Cournot duopoly game with unimodal piecewise-linear reaction functions (tent maps) proposed b...
A few mathematical problems arising in the classical synchronization theory are discussed; especiall...
Period doubling of a periodic orbit of an area preserving map appears to lead to the elimination of ...
A rational map f is called geometrically finite if every critical point contained in its Julia set i...
Convergence to a period one fixed point is investigated for both logistic and cubic maps. For the lo...
AbstractThe generic isolated bifurcations for one-parameter families of smooth planar vector fields ...
Planar piecewise linear systems with two linearity zones separated by a straight line and with a per...