We investigate the possibility of inducing transitions between periodic orbits in two-dimensional Hamiltonian systems by means of a time-localized external perturbation. We show that the amplitude of the perturbation can be approximately calculated in the limit of a delta-type force in terms of the initial and final periodic orbits. For a specific Hamiltonian, we show several numerical examples where the external perturbation, varied from delta-type to gaussian, allows transitions between specifically chosen members of families of periodic orbits. The same mechanism is then applied to move aperiodic chaotic orbits into periodic ones, presenting a new way to control chaotic behavior in Hamiltonian systems
The effect of applying a periodic perturbation to an accessible parameter of a high-dimensional (cou...
In chaotic systems, synchronization phenomena, i.e., resonances, can occur, the simplest being motio...
The effect of applying a periodic perturbation to an accessible parameter of various chaotic systems...
We investigate the possibility of inducing transitions between periodic orbits in two-dimensional Ha...
We investigate the possibility of inducing transitions between periodic orbits in two-dimensional Ha...
By employing another external field with intensity not larger than 60% of the original driving force...
International audienceWe present a technique to control chaos in Hamiltonian systems which are close...
A method to reduce or enhance chaos in Hamiltonian flows with two degrees of freedom is discussed. T...
We demonstrate the control of the chaotic dynamics of Hamiltonian systems. This ability offers the p...
We demonstrate the control of the chaotic dynamics of Hamiltonian systems. This ability offers the p...
We investigate the possibility of avoiding the escape of chaotic scattering trajectories in two-degr...
We consider time-periodically perturbed ID Hamiltonian systems possessing one or more separatrices. ...
Chaos has an intrinsically richness related to its structure and, because of that, there are benefit...
We have developed a general method for the description of separatrix chaos, based on the analysis of...
SUMMARY We consider time-periodically perturbed 1D Hamiltonian systems possessing one or more sepa...
The effect of applying a periodic perturbation to an accessible parameter of a high-dimensional (cou...
In chaotic systems, synchronization phenomena, i.e., resonances, can occur, the simplest being motio...
The effect of applying a periodic perturbation to an accessible parameter of various chaotic systems...
We investigate the possibility of inducing transitions between periodic orbits in two-dimensional Ha...
We investigate the possibility of inducing transitions between periodic orbits in two-dimensional Ha...
By employing another external field with intensity not larger than 60% of the original driving force...
International audienceWe present a technique to control chaos in Hamiltonian systems which are close...
A method to reduce or enhance chaos in Hamiltonian flows with two degrees of freedom is discussed. T...
We demonstrate the control of the chaotic dynamics of Hamiltonian systems. This ability offers the p...
We demonstrate the control of the chaotic dynamics of Hamiltonian systems. This ability offers the p...
We investigate the possibility of avoiding the escape of chaotic scattering trajectories in two-degr...
We consider time-periodically perturbed ID Hamiltonian systems possessing one or more separatrices. ...
Chaos has an intrinsically richness related to its structure and, because of that, there are benefit...
We have developed a general method for the description of separatrix chaos, based on the analysis of...
SUMMARY We consider time-periodically perturbed 1D Hamiltonian systems possessing one or more sepa...
The effect of applying a periodic perturbation to an accessible parameter of a high-dimensional (cou...
In chaotic systems, synchronization phenomena, i.e., resonances, can occur, the simplest being motio...
The effect of applying a periodic perturbation to an accessible parameter of various chaotic systems...