1,720,996 research outputs found
Stochastic and nonlinear control of attractor preference
No full textStudying the response of multistable systems to stochastic and harmonic perturbations, we observe a surprising and counterintuitive asymptotic behavior, including nonmonotonic dependence in preference of some coexisting attractors with respect to the noise amplitude, i.e., the existence of a certain noise level for which the most probable size of the basin of attraction is larger than for other noise values, while the average size always decreases as the noise amplitude increases. Since the probabilistic size of the basin of attraction depends on the amplitude and frequency of external modulation applied to a system parameter, noise, periodic modulation, and a combination of both provide an efficient control of attractor preference in systems with multiple coexisting states. Such a control is demonstrated in the delayed feedback logistic map with two coexisting attractors and in the H�non map with three attractors. � 2012 IFAC
Noise enhanced control of multistability
No full textWe focus into the development of an efficient method to control multistable systems in the presence of noise. The method is based on the addition of an external control force in the form of a slow harmonic modulation with properly chosen frequency and amplitude. Although noise is usually a non desirable condition, it has been recently demostrated that in coupled systems cooperative effects of the periodic force and noise are produced. This enhancement phenomena in the response of the deterministic equations is interpreted as stochastic resonance. Our main purpose is to study deterministic resonances between the different solutions of the multistable system and the external modulation. Then, all efforts will concentrate in the enhancement of the control method produced by noise
Intermittent lag synchronization in a driven system of coupled oscillators
No full textWe study intermittent lag synchronization in a system of two identical mutually coupled Duffing oscillators with parametric modulation in one of them. This phenomenon in a periodically forced system can be seen as intermittent jump from phase to lag synchronization, during which the chaotic trajectory visits a periodic orbit closely. We demonstrate different types of intermittent lag synchronizations, that occur in the vicinity of saddle-node bifurcations where the system changes its dynamical state, and characterize the simplest case of period-one intermittent lag synchronization. © Indian Academy of Sciences
Controlled release of antifungal volatiles of thyme essential oil from ?-cyclodextrin capsules
No full textWe study how the basins of attraction of coexisting states can be controlled by either harmonic modulation or small noise applied to the pump parameter in a multistable erbium-doped fiber laser. The results of numerical simulations using the three-level laser model display good agreement with previously reported experimental studies on attractor annihilation by periodic modulation. In the laser with stochastic modulation, the attraction basins' volumes have a noise-dependent probabilistic character displaying some resonances for each of the coexisting attractors. " 2009 Elsevier B.V. All rights reserved.",,,,,,"10.1016/j.physleta.2009.10.061",,,"http://hdl.handle.net/20.500.12104/40352","http://www.scopus.com/inward/record.url?eid=2-s2.0-71849106503&partnerID=40&md5=a0d388f9f42fda4f834279daad221a5c",,,,,,"2",,"Physics Letters, Section A: General, Atomic and Solid State Physics",,"22
Intermittent lag synchronization in a driven system of coupled oscillators
No full textWe study intermittent lag synchronization in a system of two identical mutually coupled Duffing oscillators with parametric modulation in one of them. This phenomenon in a periodically forced system can be seen as intermittent jump from phase to lag synchronization, during which the chaotic trajectory visits a periodic orbit closely. We demonstrate different types of intermittent lag synchronizations, that occur in the vicinity of saddle-node bifurcations where the system changes its dynamical state, and characterize the simplest case of period-one intermittent lag synchronization. � Indian Academy of Sciences
Noise-induced attractor annihilation in the delayed feedback logistic map
No full textWe study dynamics of the bistable logistic map with delayed feedback, under the influence of white Gaussian noise and periodic modulation applied to the variable. This system may serve as a model to describe population dynamics under finite resources in noisy environment with seasonal fluctuations. While a very small amount of noise has no effect on the global structure of the coexisting attractors in phase space, an intermediate noise totally eliminates one of the attractors. Slow periodic modulation enhances the attractor annihilation. © 2013 Elsevier B.V
Intermittent lag synchronization in a nonautonomous system of coupled oscillators
No full textSynchronization properties of two identical mutually coupled Duffing oscillators with parametric modulation in one of them are studied. Intermittent lag synchronization is observed in the vicinity of saddle-node bifurcations where the system changes its dynamical state. This phenomenon is seen as intermittent jumps from phase to lag synchronization, during which the chaotic trajectory visits closely a periodic orbit. Different types of intermittent lag synchronization are demonstrated and the simplest case of period-one lag synchronization is analyzed. � 2005 Elsevier B.V. All rights reserved
Nomenclatural notes 13. An incorrect neotype designation and provision for a lectotype and an epitype for Helvella fusca
No full textWe study dynamics of the bistable logistic map with delayed feedback, under the influence of white Gaussian noise and periodic modulation applied to the variable. This system may serve as a model to describe population dynamics under finite resources in noisy environment with seasonal fluctuations. While a very small amount of noise has no effect on the global structure of the coexisting attractors in phase space, an intermediate noise totally eliminates one of the attractors. Slow periodic modulation enhances the attractor annihilation. " 2013 Elsevier B.V.",,,,,,"10.1016/j.physleta.2013.09.022",,,"http://hdl.handle.net/20.500.12104/43165","http://www.scopus.com/inward/record.url?eid=2-s2.0-84885470613&partnerID=40&md5=bb0ff4554fb5577afb3da3358f297986",,,,,,"42",,"Physics Letters, Section A: General, Atomic and Solid State Physics",,"301
Hyperiid amphipod community in the Eastern Tropical Pacific before, during, and after El Niño 1997-1998
No full textIn addition to the well-known Rossler funnel that consists in near-homoclinic orbits, perfect homoclinic orbits have been found numerically and experimentally in a simplest piecewise linear Rossler-like electronic circuit. The evolution of the system in the homoclinic range exhibits period-bubbling and period-adding cascades when a control parameter is changed. A scaling law in the period-adding cascade between the period of a homoclinic orbit and the bifurcation parameter is evaluated. Other phenomena, such as the coexistence of two homoclinic orbits, homoclinic chaos, symmetry breaking and phase bistability are also demonstrated. The results of numerical simulations are in a good agreement with experiments. " 2005 IOP Publishing Ltd.",,,,,,"10.1088/1742-6596/23/1/014",,,"http://hdl.handle.net/20.500.12104/41954","http://www.scopus.com/inward/record.url?eid=2-s2.0-25844507138&partnerID=40&md5=b0f0a116d8d49d0bf70c3fa7702c2b7d",,,,,,"1",,"Journal of Physics: Conference Series",,"12
Homoclinic orbits in a piecewise linear Rössler-like circuit
No full textIn addition to the well-known Rössler funnel that consists in near-homoclinic orbits, perfect homoclinic orbits have been found numerically and experimentally in a simplest piecewise linear Rössler-like electronic circuit. The evolution of the system in the homoclinic range exhibits period-bubbling and period-adding cascades when a control parameter is changed. A scaling law in the period-adding cascade between the period of a homoclinic orbit and the bifurcation parameter is evaluated. Other phenomena, such as the coexistence of two homoclinic orbits, homoclinic chaos, symmetry breaking and phase bistability are also demonstrated. The results of numerical simulations are in a good agreement with experiments. © 2005 IOP Publishing Ltd
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