Distinguishing signatures of determinism and stochasticity in spiking complex systems

Aragoneses, Andrés; Rubido, Nicolás; Tiana-Alsina, Jordi; Torrent, M. C.; Masoller, Cristina

doi:10.1038/srep01778

Cited by 29 publications

(32 citation statements)

References 32 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Inferring signatures of determinism in stochastic high-dimensional complex systems is a challenging task, and much effort is focused on developing efficient and computationally fast methods of time-series analysis that are useful even in the presence of high levels of noise [1][2][3][4][5][6]. In optics, a long standing discussion about the roles of stochastic and deterministic nonlinear processes comes from the dynamics of semiconductor lasers with optical feedback.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, we use a symbolic method of time-series analysis, referred to as ordinal analysis [1], to study the transition from the LFF dynamics of the unmodulated laser, in which the dropouts are highly stochastic and reveal only weak signatures of an underlying deterministic attractor [6], to the modulated LFF dynamics, which consists of more regular dropouts, with a periodicity that is related to external forcing period [29]. For increasing modulation amplitude there is a gradual transition from mainly stochastic to mainly deterministic behavior, and our goal is to identify in this transition characteristic features which are fingerprints of the underlying topology of the phase space of the system.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Experimental and numerical study of the symbolic dynamics of a modulated external-cavity semiconductor laser

Aragoneses¹,

Sorrentino²,

Perrone³

et al. 2014

Opt. Express

Self Cite

View full text Add to dashboard Cite

Abstract:We study the symbolic dynamics of a stochastic excitable optical system with periodic forcing. Specifically, we consider a directly modulated semiconductor laser with optical feedback in the low frequency fluctuations (LFF) regime. We use a method of symbolic time-series analysis that allows us to uncover serial correlations in the sequence of intensity dropouts. By transforming the sequence of inter-dropout intervals into a sequence of symbolic patterns and analyzing the statistics of the patterns, we unveil correlations among several consecutive dropouts and we identify clear changes in the dynamics as the modulation amplitude increases. To confirm the robustness of the observations, the experiments were performed using two lasers under different feedback conditions. Simulations of the Lang-Kobayashi (LK) model, including spontaneous emission noise, are found to be in good agreement with the observations, providing an interpretation of the correlations present in the dropout sequence as due to the interplay of the underlying attractor topology, the external forcing, and the noise that sustains the dropout events.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Experimental and numerical study of the symbolic dynamics of a modulated external-cavity semiconductor laser

Aragoneses¹,

Sorrentino²,

Perrone³

et al. 2014

Opt. Express

Self Cite

View full text Add to dashboard Cite

show abstract

“…The LFFs and CC regimes have been known for decades and their dynamical origin and statistical properties have been intensively studied202122232425262728293031323334353637383940414243444546474849505152535455565758. However, to the best of our knowledge, the transition points from noisy emission to LFFs, and from LFFs to CC, occurring as the pump current increases, have not yet been quantified.…”

mentioning

confidence: 99%

Quantitative identification of dynamical transitions in a semiconductor laser with optical feedback

Quintero-Quiroz

Tiana-Alsina

Romà

et al. 2016

Sci Rep

Self Cite

View full text Add to dashboard Cite

Identifying transitions to complex dynamical regimes is a fundamental open problem with many practical applications. Semi- conductor lasers with optical feedback are excellent testbeds for studying such transitions, as they can generate a rich variety of output signals. Here we apply three analysis tools to quantify various aspects of the dynamical transitions that occur as the laser pump current increases. These tools allow to quantitatively detect the onset of two different regimes, low-frequency fluctuations and coherence collapse, and can be used for identifying the operating conditions that result in specific dynamical properties of the laser output. These tools can also be valuable for analyzing regime transitions in other complex systems.

show abstract

“…6. To estimate the interval of probability values which is consistent with the N.H., we use a binomial test [16]: considering a confidence level of 95%, if all the OP probabilities are within the range, p±3σ p , where…”

Section: Ordinal Analysismentioning

confidence: 99%

Analysis of noise-induced temporal correlations in neuronal spike sequences

Reinoso

Torrent

Masoller

2016

Eur. Phys. J. Spec. Top.

Self Cite

View full text Add to dashboard Cite

Aquesta és una còpia de la versió author's final draft d'un article publicat a la revista European physical journal: special topics. Abstract. We investigate temporal correlations in sequences of noiseinduced neuronal spikes, using a symbolic method of time-series analysis. We focus on the sequence of time-intervals between consecutive spikes (inter-spike-intervals, ISIs). The analysis method, known as ordinal analysis, transforms the ISI sequence into a sequence of ordinal patterns (OPs), which are defined in terms of the relative ordering of consecutive ISIs. The ISI sequences are obtained from extensive simulations of two neuron models (FitzHugh-Nagumo, FHN, and integrateand-fire, IF), with correlated noise. We find that, as the noise strength increases, temporal order gradually emerges, revealed by the existence of more frequent ordinal patterns in the ISI sequence. While in the FHN model the most frequent OP depends on the noise strength, in the IF model it is independent of the noise strength. In both models, the correlation time of the noise affects the OP probabilities but does not modify the most probable pattern.

show abstract

Distinguishing signatures of determinism and stochasticity in spiking complex systems

Cited by 29 publications

References 32 publications

Experimental and numerical study of the symbolic dynamics of a modulated external-cavity semiconductor laser

Experimental and numerical study of the symbolic dynamics of a modulated external-cavity semiconductor laser

Quantitative identification of dynamical transitions in a semiconductor laser with optical feedback

Analysis of noise-induced temporal correlations in neuronal spike sequences

Contact Info

Product

Resources

About