Intermittent lag synchronization in a driven system of coupled oscillators

We 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

Control of basins of attraction in a multistable fiber laser

PROMER [103.5/07/3541]; CONACYT [100429]; CULAGOS-UDG Computer Cente

Hyperiid amphipod community in the Eastern Tropical Pacific before, during, and after El Niño 1997-1998

In 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

Intermittent lag synchronization in a nonautonomous system of coupled oscillators

Synchronization 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

Controlled release of antifungal volatiles of thyme essential oil from ?-cyclodextrin capsules

We 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

We 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

Synchronization of multistable systems

We present the detailed study of synchronization of two unidirectionally coupled identical systems with coexisting chaotic attractors and analyze system dynamics observed on the route from asynchronous behavior to complete synchronization when the coupling strength is increased. We distinguish three stages of synchronization depending on the coupling strength which can be conventionally divided into three intervals. A relatively weak coupling induces asynchronous intermittent jumps between coexisting attractors and anticipating phase synchronization within windows where the systems stay in similar attractors; an intermediate coupling creates combined attractors that give rise to generalized synchronization in the form of subharmonic frequency entrainment; and a strong coupling results in complete synchronization. The results of numerical simulations are in good agreement with experiments carried out with piecewise-linear Rössler-like electronic circuits. © 2008 World Scientific Publishing Company

Swelling Behavior of Polystyrene Particles with Monomers Commonly Used in Seeded Emulsion Polymerizations

We present the detailed study of synchronization of two unidirectionally coupled identical systems with coexisting chaotic attractors and analyze system dynamics observed on the route from asynchronous behavior to complete synchronization when the coupling strength is increased. We distinguish three stages of synchronization depending on the coupling strength which can be conventionally divided into three intervals. A relatively weak coupling induces asynchronous intermittent jumps between coexisting attractors and anticipating phase synchronization within windows where the systems stay in similar attractors; an intermediate coupling creates combined attractors that give rise to generalized synchronization in the form of subharmonic frequency entrainment; and a strong coupling results in complete synchronization. The results of numerical simulations are in good agreement with experiments carried out with piecewise-linear Rossler-like electronic circuits. " 2008 World Scientific Publishing Company.",,,,,,"10.1142/S0218127408021385",,,"http://hdl.handle.net/20.500.12104/44907","http://www.scopus.com/inward/record.url?eid=2-s2.0-50949090458&partnerID=40&md5=ca6c78414e92f8443490d76ba10e9cea",,,,,,"6",,"International Journal of Bifurcation and Chaos",,"180

Synchronization of coupled bistable chaotic systems: Experimental study

We carried out an experimental study of the synchronization of two unidirectionally coupled R�ssler-like electronic circuits with two coexisting chaotic attractors. Different stages of synchronization are identified on the route from asynchronous motion to complete synchronization, as the coupling parameter is increased: intermittent asynchronous jumps between coexisting attractors; intermittent anticipating phase synchronization; and generalized synchronization in the form of subharmonic entrainment terminated by complete synchronization. All these regimes are analysed with time-series, power spectra and phase-space plots of the drive and response oscillators. The experimental study implicitly confirms the results of numerical simulations

Experimental approach to the study of complex network synchronization using a single oscillator

We propose an experimental setup based on a single oscillator for studying large networks formed by identical unidirectionally coupled systems. A chaotic wave form generated by the oscillator is stored in a computer to adjust the signal according to the desired network configuration to feed it again into the same oscillator. No previous theoretical knowledge about the oscillator dynamics is needed. To visualize network synchronization we introduce a network synchronization bifurcation diagram that should prove to be an effective tool for analysis, design, and optimization of complex networks. � 2009 The American Physical Society