6 research outputs found
Autonomous Bursting in a Homoclinic System
A continuous train of irregularly spaced spikes, peculiar of homoclinic
chaos, transforms into clusters of regularly spaced spikes, with quiescent
periods in between (bursting regime), by feeding back a low frequency portion
of the dynamical output. Such autonomous bursting results to be extremely
robust against noise; we provide experimental evidence of it in a CO2 laser
with feedback. The phenomen here presented display qualitative analogies with
bursting phenomena in neurons.Comment: Submitted to Phys. Rev. Lett., 14 pages, 5 figure
Collision, explosion and collapse of homoclinic classes
Homoclinic classes of generic -diffeomorphisms are maximal transitive
sets and pairwise disjoint. We here present a model explaining how two
different homoclinic classes may intersect, failing to be disjoint. For that we
construct a one-parameter family of diffeomorphisms with
hyperbolic points and having nontrivial homoclinic classes, such that,
for , the classes of and are disjoint, for , they are equal,
and, for , their intersection is a saddle-node.Comment: This is the final version, accepted in 200
What can we learn from homoclinic orbits in chaotic dynamics?
info:eu-repo/semantics/publishe
Amplitude modulated dynamics and bifurcations in the resonant response of a structure with cyclic symmetry
Dissipative systems
The basic features of dissipative dynamical systems and their impact on the understanding of our natural environment are reviewed. The analysis covers both deterministic and stochastic aspects. Special attention is devoted to the ability of these systems to undergo successive transitions to complex modes of behaviour. The possibility of a unified description of both conservative and dissipative processes is also assessed.SCOPUS: ar.jinfo:eu-repo/semantics/publishe