Spatial chaos in a chain of coupled bistable oscillators.
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Journal Article↗
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Mean Switching Frequency Locking in Stochastic Bistable Systems Driven by a Periodic Force.
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Journal Article↗
Links, Knots, and Knotted Labyrinths in Bistable Systems.
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Bistable helices.
We extend elasticity theory of filaments to encompass systems, such as bacterial flagella, that display competition between two helical structures of opposite chirality. A general, fully intrinsic formulation of the dynamics of bend and twist degrees of freedom is developed using the natural frame of space curves, spanning from the inviscid limit to the viscously overdamped regime applicable to cellular biology. Aspects of front propagation found in flagella are discussed.
Bacillus subtilis↗
Current bistability and hysteresis in strongly correlated quantum wires
Nonequilibrium transport properties are determined exactly for an adiabatically contacted single-channel quantum wire containing one impurity. Employing the Luttinger liquid model with interaction parameter g, for very strong interactions g less, similar0.2, and sufficiently low temperatures, we find an S-shaped current-voltage relation. The unstable branch with negative differential conductance gives rise to current oscillations and hysteretic effects. These nonperturbative and nonlinear features appear only out of equilibrium.
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Sandpiles with bistable automata rules: towards a minimal model of pedestal formation and structure.
A sandpile with two stable and two unstable ranges of slopes is presented as a minimal model for the study of H-mode pedestal formation and dynamics. Pedestals are observed to form and expand inward with increasing deposition. Transport bifurcation is not critical to pedestal formation, though the pedestal structure obtained with a second, hard stability boundary is qualitatively different from that found in standard sandpiles. Nonperiodic particle ejection events are observed, but do not initiate pedestal collapse. Pedestal formation alters the spectrum of transport avalanches.
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Novel optical and magnetic bistability and photoinduced transition in a one-dimensional halogen-bridged binuclear pt complex.
In iodine-bridged binuclear Pt compounds, R(4)[Pt(2)(pop)(4)I]nH(2)O and R(')(2)[Pt(2)(pop)(4)I]nH(2)O (pop=P(2)O5H2-2), electronic structures on the PtPtI chains have been controlled between a diamagnetic charge-density-wave (CDW) state and a paramagnetic charge-polarization (CP) state by modification of the counterions (R, R') located between chains. In the R=(C2H5)2NH+2 compound, a pressure-induced CP to CDW transition with a drastic color change is identified. This transition is accompanied by a large hysteresis loop within which photoinduced transition between CDW and CP can be driven by selecting the excitation photon energy.
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Localized states in bistable pattern-forming systems.
We present a unifying description close to a spatial bifurcation of localized states, appearing as large amplitude peaks nucleating over a pattern of lower amplitude. Localized states are pinned over a lattice spontaneously generated by the system itself. We show that the phenomenon is generic and requires only the coexistence of two spatially periodic states. At the onset of the spatial bifurcation, a forced amplitude equation is derived for the critical modes, which accounts for the appearance of localized peaks.
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A VLSI array of low-power spiking neurons and bistable synapses with spike-timing dependent plasticity.
We present a mixed-mode analog/digital VLSI device comprising an array of leaky integrate-and-fire (I&F) neurons, adaptive synapses with spike-timing dependent plasticity, and an asynchronous event based communication infrastructure that allows the user to (re)configure networks of spiking neurons with arbitrary topologies. The asynchronous communication protocol used by the silicon neurons to transmit spikes (events) off-chip and the silicon synapses to receive spikes from the outside is based on the "address-event representation" (AER). We describe the analog circuits designed to implement the silicon neurons and synapses and present experimental data showing the neuron's response properties and the synapses characteristics, in response to AER input spike trains. Our results indicate that these circuits can be used in massively parallel VLSI networks of I&F neurons to simulate real-time complex spike-based learning algorithms.
Algorithms↗
On the bistability of sine wave analogues of speech.
Our studies revealed two stable modes of perceptual organization, one based on attributes of auditory sensory elements and another based on attributes of patterned sensory variation composed by the aggregation of sensory elements. In a dual-task method, listeners attended concurrently to both aspects, component and pattern, of a sine wave analogue of a word. Organization of elements was indexed by several single-mode tests of auditory form perception to verify the perceptual segregation of either an individual formant of a synthetic word or a tonal component of a sinusoidal word analogue. Organization of patterned variation was indexed by a test of lexical identification. The results show the independence of the perception of auditory and phonetic form, which appear to be differently organized concurrent effects of the same acoustic cause.
Humans↗
Ecological bistability and evolutionary reversals under asymmetrical competition.
How does the process of life-history evolution interplay with population dynamics? Almost all models that have addressed this question assume that any combination of phenotypic traits uniquely determine the ecological population state. Here we show that if multiple ecological equilibria can exist, the evolution of a trait that relates to competitive performance can undergo adaptive reversals that drive cyclic alternation between population equilibria. The occurrence of evolutionary reversals requires neither environmentally driven changes in selective forces nor the coevolution of interactions with other species. The mechanism inducing evolutionary reversals is twofold. First, there exist phenotypes near which mutants can invade and yet fail to become fixed; although these mutants are eventually eliminated, their transitory growth causes the resident population to switch to an alternative ecological equilibrium. Second, asymmetrical competition causes the direction of selection to revert between high and low density. When ecological conditions for evolutionary reversals are not satisfied, the population evolves toward a steady state of either low or high abundance, depending on the degree of competitive asymmetry and environmental parameters. A sharp evolutionary transition between evolutionary stasis and evolutionary reversals and cycling can occur in response to a smooth change in ecological parameters, and this may have implications for our understanding of size-abundance patterns.
Animals↗
Signalling network with a bistable hysteretic switch controls developmental activation of the sigma transcription factor in Bacillus subtilis.
The sporulation process of the bacterium Bacillus subtilis unfolds by means of separate but co-ordinated programmes of gene expression within two unequal cell compartments, the mother cell and the smaller forespore. sigmaF is the first compartment-specific transcription factor activated during this process, and it is controlled at the post-translational level by a partner-switching mechanism that restricts sigmaF activity to the forespore. The crux of this mechanism lies in the ability of the anti-sigma factor SpoIIAB (AB) to form alternative complexes either with sigmaF, holding it in an inactive form, or with the anti-anti-sigma factor SpoIIAA (AA) and a nucleotide, either ATP or ADP. In the complex with AB and ATP, AA is phosphorylated on a serine residue and released, making AB available to capture sigmaF in an inactive complex. Subsequent activation of sigmaF requires the intervention of the SpoIIE serine phosphatase to dephosphorylate AA, which can then attack the AB-sigmaF complex to induce the release of sigmaF. By incorporating biochemical, biophysical and genetic data from the literature we have constructed an integrative mathematical model of this partner-switching network. The model predicts that the self-enhancing formation of a long-lived complex of AA, AB and ADP transforms the network into an essentially irreversible hysteretic switch, thereby explaining the sharp, robust and irreversible activation of sigmaF in the forespore compartment. The model also clarifies the contributions of the partly redundant mechanisms that ensure correct spatial and temporal activation of sigmaF, reproduces the behaviour of various mutants and makes strong, testable predictions.
Adenosine Diphosphate↗
Room-Temperature Magnetic Bistability in Organic Radical Crystals.
A large first-order magnetic phase transition in an organic radical, 1,3,5-trithia-2,4,6-triazapentalenyl, is described. The transition occurs with a wide thermal hysteresis loop over the temperature range 230 to 305 kelvin. The high-temperature phase is paramagnetic, and its structure consists of a uniform one-dimensional stacking of the radical. The low-temperature phase is diamagnetic because of strong dimerization along the stacking direction. The results may have applications in thermal sensors, switching units, and information storage media based on organic radical crystals.
Journal Article↗
Transduction in invertebrate photoreceptors: role of pigment bistability.
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Action Potentials↗
Spatially localized states with size-dependent optical bistability.
Experimental results of a new type of localized state generated in an optical system consisting of a liquid-crystal spatial light modulator with optical feedback are demonstrated. The localized state is triggered at a position that depends on the size of a control beam because its formation depends on the fraction of high-spatial-frequency components in the feedback light that passes through a low-cut spatial-frequency filter. This novel size-dependent switching property is useful for erasing individual target localized states.
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All-optical transistor action with bistable switching in a photonic crystal cross-waveguide geometry.
We demonstrate all-optical switching action in a nonlinear photonic crystal cross-waveguide geometry with instantaneous Kerr nonlinearity, in which the transmission of a signal can be reversibly switched on and off by a control input. Our geometry accomplishes both spatial and spectral separation between the signal and the control in the nonlinear regime. The device occupies a small footprint of a few micrometers squared and requires only a few milliwatts of power at a 10-Gbit/s switching rate by use of Kerr nonlinearity in AlGaAs below half the electronic bandgap. We also show that the switching dynamics, as revealed by both coupled-mode theory and finite-difference time domain simulations, exhibits collective behavior that can be exploited to generate high-contrast logic levels and all-optical memory.
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Effect of an optical negative index thin film on optical bistability.
We investigate nonlinear transmission in a layered structure consisting of a slab of positive index material with Kerr-type nonlinearity and a subwavelength layer of linear negative index material (NIM) sandwiched between semi-infinite linear dielectrics. We find that a thin layer of NIM leads to significant changes in the hysteresis width when the nonlinear slab is illuminated at an angle near that of total internal reflection. Unidirectional diodelike transmission with enhanced operational range is demonstrated. These results may be useful for NIMs characterization and for designing novel NIMs-based devices.
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Bistability, stochasticity, and oscillations in the mitogen-activated protein kinase cascade.
Signaling pathways respond to stimuli in a variety of ways, depending on the magnitude of the input and the physiological status of the cell. For instance, yeast can respond to pheromone stimulation in either a binary or graded fashion. Here we present single cell transcription data indicating that a transient binary response in which all cells eventually become activated is typical. Stochastic modeling of the biochemical steps that regulate activation of the mitogen-activated protein kinase Fus3 reveals that this portion of the pathway can account for the graded-to-binary conversion. To test the validity of the model, genetic approaches are used to alter expression levels of Msg5 and Ste7, two of the proteins that negatively and positively regulate Fus3, respectively. Single cell measurements of the genetically altered cells are shown to be consistent with predictions of the model. Finally, computational modeling is used to investigate the effects of protein turnover on the response of the pathway. We demonstrate that the inclusion of protein turnover can lead to sustained oscillations of protein concentrations in the absence of feedback regulation. Thus, protein turnover can profoundly influence the output of a signaling pathway.
Biological Clocks↗