Dynamic characterizers of spatiotemporal intermittency

Jabeen, Zahera; Gupte, Neelima

doi:10.1103/physreve.72.016202

Cited by 22 publications

(31 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It has been shown convincingly that STI with synchronized laminar state interspersed with turbulent bursts (seen at points marked with ✸ in Figure 1) belongs to the DP universality class [17,18]. The infective dynamics of the turbulent bursts wherein the turbulent site either infects the adjacent laminar sites, or dies down to the laminar state, is similar to the behaviour seen in directed percolation [22].…”

Section: A Sti Of the Dp Typementioning

confidence: 55%

“…The entire set of static and dynamic scaling exponents obtained in this parameter regime match with the DP exponents. The exponents obtained, after averaging over 10 exponents and their definitions have been reported in [17,18]. The distribution of laminar lengths also shows a scaling behaviour of the form, cross-over behaviour in this regime.…”

Section: A Sti Of the Dp Typementioning

confidence: 85%

“…Earlier studies of the diffusively coupled sine circle map lattice showed regimes of STI which were completely free of solitons [17,18]. Two types of STI were seen along the bifurcation boundaries of the bifurcation from the synchronized solution.…”

Section: Introductionmentioning

confidence: 91%

“…These solutions are seen over a large section of the phase diagram and are stable against perturbations. Cluster solutions, in which x i (t) = x j (t) for all i, j belonging to a particular class [17,18]. However, the other types of intermittency seen in the parameter space do not belong to the DP class.…”

Section: πmentioning

confidence: 99%

See 3 more Smart Citations

Spatiotemporal intermittency and scaling laws in the coupled sine circle map lattice

Jabeen

Gupte

2006

Phys. Rev. E

Self Cite

View full text Add to dashboard Cite

We study spatio-temporal intermittency (STI) in a system of coupled sine circle maps. The phase diagram of the system shows parameter regimes with STI of both the directed percolation (DP) and non-DP class. STI with synchronized laminar behaviour belongs to the DP class. The regimes of non-DP behaviour show spatial intermittency (SI), where the temporal behaviour of both the laminar and burst regions is regular, and the distribution of laminar lengths scales as a power law.The regular temporal behaviour for the bursts seen in these regimes of spatial intermittency can be periodic or quasi-periodic, but the laminar length distributions scale with the same power-law, which is distinct from the DP case. STI with traveling wave (TW) laminar states also appears in the phase diagram. Soliton-like structures appear in this regime. These are responsible for cross-overs with accompanying non-universal exponents. The soliton lifetime distributions show power law scaling in regimes of long average soliton life-times, but peak at characteristic scales with a power-law tail in regimes of short average soliton life-times. The signatures of each type of intermittent behaviour can be found in the dynamical characterisers of the system viz. the eigenvalues of the stability matrix. We discuss the implications of our results for behaviour seen in other systems which exhibit spatio-temporal intermittency.

show abstract

Section: A Sti Of the Dp Typementioning

confidence: 55%

Section: A Sti Of the Dp Typementioning

confidence: 85%

Section: Introductionmentioning

confidence: 91%

Section: πmentioning

confidence: 99%

See 2 more Smart Citations

Spatiotemporal intermittency and scaling laws in the coupled sine circle map lattice

Jabeen

Gupte

2006

Phys. Rev. E

Self Cite

View full text Add to dashboard Cite

show abstract

“…Coupled map systems show many of the varied phenomena observed in the case of continuous extended systems, but are far more numerically and analytically tractable. Coupled map systems have been seen to show synchronised solutions, spatiotemporal intermittency, spatiotemporal chaos [13,14]. However, to the best of our knowledge, chimera states have not been reported earlier in coupled map lattice systems.…”

Section: Introductionmentioning

confidence: 73%

Chimera states in coupled sine-circle map lattices

Nayak¹,

Gupte²

2011

AIP Conference Proceedings

Self Cite

View full text Add to dashboard Cite

Systems of coupled oscillators have been seen to exhibit chimera states, i.e. states where the system splits into two groups where one group is phase locked and the other is phase randomized. In this work, we report the existence of chimera states in a system of two interacting populations of sine circle maps. This system also exhibits the clustered chimera behavior seen earlier in delay coupled systems. Rich spatio-temporal behavior is seen in different regimes of the phase diagram. We carry out a detailed analysis of the stability regimes and map out the phase diagram using numerical and analytic techniques.

show abstract

Probabilistic signatures of spatiotemporal intermittency in the coupled sine circle map lattice

Jabeen

Gupte

2008

Pramana - J Phys

Self Cite

View full text Add to dashboard Cite

The phase diagram of the coupled sine circle map system exhibits a variety of interesting phenomena including spreading regions with spatiotemporal intermittency, non-spreading regions with spatial intermittency, and coherent structures termed solitons. A spreading to non-spreading transition is seen in the system. A cellular automaton version of the coupled system maps the spreading to non-spreading transition to a transition from a probabilistic to a deterministic cellular automaton. The solitonic sector of the system shows spatiotemporal intermittency with soliton creation, propagation and absorption. A probabilistic cellular automaton mapping is set up for this sector which can identify each one of these phenomena.

show abstract

Dynamic characterizers of spatiotemporal intermittency

Cited by 22 publications

References 31 publications

Spatiotemporal intermittency and scaling laws in the coupled sine circle map lattice

Spatiotemporal intermittency and scaling laws in the coupled sine circle map lattice

Chimera states in coupled sine-circle map lattices

Probabilistic signatures of spatiotemporal intermittency in the coupled sine circle map lattice

Contact Info

Product

Resources

About