NOISE-INDUCED SYNCHRONIZATION IN MULTITROPHIC CHAOTIC ECOLOGICAL SYSTEMS

Noise-induced synchronization is an unexpected phenomenon which we show here to have biological relevance for multitrophic ecological systems. We focus on two uncoupled Hastings–Powell systems having oscillatory dynamics. Despite the fact the systems are uncoupled, it is shown that they can nevertheless synchronize by applying common Gaussian noise forcing to a suitably chosen variable in both systems. Complete synchronization is studied in the case of identical oscillators, and intermittent synchronization is analyzed when the oscillators are nonidentical. We discuss how this unusual synchronization phenomenon has features akin to Ecology's well-known "Moran effect."

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CHAOS AND PHASE SYNCHRONIZATION IN ECOLOGICAL SYSTEMS

International Journal of Bifurcation and Chaos ◽

10.1142/s0218127400001511 ◽

2000 ◽

Vol 10 (10) ◽

pp. 2361-2380 ◽

Cited By ~ 83

Author(s):

BERND BLASIUS ◽

LEWI STONE

Keyword(s):

Large Scale ◽

Phase Synchronization ◽

Phase Evolution ◽

Ecological Systems ◽

Ecological Communities ◽

Predator Prey ◽

Natural Systems ◽

Spatial Coupling ◽

Noise Forcing ◽

Resource System

An ecological population model is presented for the purposes of exploring complex synchronization phenomena in biological systems. The model describes a three level predator–prey–resource system which oscillates with Uniform Phase evolution, yet has Chaotic Abundance levels or Amplitudes (UPCA). We investigate the phase synchronization of two nonidentical diffusively coupled phase coherent models (i.e. with UPCA dynamics) and extend the analysis to study the models' "funnel" regimes and response to noise forcing. Similar synchronization effects are reported for a two-dimensional lattice of chaotic population models coupled via nearest neighbors. With weak coupling, a collective phase synchronization emerges yet the peak population abundance levels are chaotic and largely uncorrelated. The synchronization patterns and traveling wave structures found in the spatial model correspond to those observed in natural systems — in particular, Ecology's well-known Canadian hare–lynx cycle. We show that phase synchronization has important applications in the study of ecological communities where the spatial coupling of populations can lead to large scale complex synchronization effects.

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Synchronization within synchronization: transients and intermittency in ecological networks

National Science Review ◽

10.1093/nsr/nwaa269 ◽

2020 ◽

Author(s):

Huawei Fan ◽

Ling-Wei Kong ◽

Xingang Wang ◽

Alan Hastings ◽

Ying-Cheng Lai

Keyword(s):

Biological Control ◽

Phase Synchronization ◽

Scaling Law ◽

Prey Type ◽

Ecological Systems ◽

Ecological Networks ◽

Complete Synchronization ◽

Transient Time ◽

Predator Prey ◽

Intermittent Switching

Abstract Transients are fundamental to ecological systems with significant implications to management, conservation, and biological control. We uncover a type of transient synchronization behavior in spatial ecological networks whose local dynamics are of the chaotic, predator-prey type. In the parameter regime where there is phase synchronization among all the patches, complete synchronization (i.e., synchronization in both phase and amplitude) can arise in certain pairs of patches as determined by the network symmetry - henceforth the phenomenon of “synchronization within synchronization.” Distinct patterns of complete synchronization coexist but, due to intrinsic instability or noise, each pattern is a transient and there is random, intermittent switching among the patterns in the course of time evolution. The probability distribution of the transient time is found to follow an algebraic scaling law with a divergent average transient lifetime. Based on symmetry considerations, we develop a stability analysis to understand these phenomena. The general principle of symmetry can also be exploited to explain previously discovered, counterintuitive synchronization behaviors in ecological networks.

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Coping Development of Deaf Individuals Through an Ecological Systems Framework

PsycEXTRA Dataset ◽

10.1037/e661892012-001 ◽

2012 ◽

Author(s):

Brittany S. Erickson

Keyword(s):

Ecological Systems ◽

Systems Framework

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Information capacity of additive white gaussian noise channel with practical constraints

IEE Proceedings I Communications Speech and Vision ◽

10.1049/ip-i-2.1990.0041 ◽

1990 ◽

Vol 137 (5) ◽

pp. 295 ◽

Cited By ~ 4

Author(s):

B. Honary ◽

F. Ali ◽

M. Darnell

Keyword(s):

Gaussian Noise ◽

Additive White Gaussian Noise ◽

White Gaussian Noise ◽

Information Capacity ◽

Practical Constraints

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Synchronization of Chaotic Quantum Dot Light Emitting Diodes under Optical Feedback Effect

10.32792/utq/utjsci/vol7/2/31 ◽

2020 ◽

pp. 144-148

Keyword(s):

Quantum Dot ◽

Delay Time ◽

Chaos Synchronization ◽

Optical Feedback ◽

Light Emitting Diode ◽

Feedback Effect ◽

Complete Synchronization ◽

Light Emitting ◽

Coupling Methods ◽

Coupling Parameters

Chaos synchronization of delayed quantum dot light emitting diode has been studied theortetically which are coupled via the unidirectional and bidirectional. at synchronization of chaotic, The dynamics is identical with delayed optical feedback for those coupling methods. Depending on the coupling parameters and delay time the system exhibits complete synchronization, . Under proper conditions, the receiver quantum dot light emitting diode can be satisfactorily synchronized with the transmitter quantum dot light emitting diode due to the optical feedback effect.

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