Resurgence of oscillation in coupled oscillators under delayed cyclic interaction

Bera, Bidesh K.; Majhi, Soumen; Ghosh, Dibakar

doi:10.1140/epjb/e2017-70743-2

Cited by 4 publications

(4 citation statements)

References 56 publications

(56 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This suggests that there should be some proper prescription to resurrect oscillation from such quenched states. Regarding this issue of revival of oscillations, there exists some significant contributions [36][37][38][39][40][41][42]. In the present article, we introduce a feedback parameter γ in the coupling function for reviving the oscillation state from amplitude death state, the influence of which in doing so has been validated earlier [39][40][41][42] for networks possessing stationary connections.…”

mentioning

confidence: 73%

“…In the present article, we introduce a feedback parameter γ in the coupling function for reviving the oscillation state from amplitude death state, the influence of which in doing so has been validated earlier [39][40][41][42] for networks possessing stationary connections.…”

mentioning

confidence: 81%

mentioning

confidence: 99%

See 2 more Smart Citations

Amplitude death and resurgence of oscillation in networks of mobile oscillators

Majhi¹,

Ghosh²

2017

EPL

Self Cite

View full text Add to dashboard Cite

The phenomenon of amplitude death has been explored using a variety of different coupling strategies in the last two decades. In most of the work, the basic coupling arrangement is considered to be static over time, although many realistic systems exhibit significant changes in the interaction pattern as time varies. In this article, we study the emergence of amplitude death in a dynamical network composed of time-varying interaction amidst a collection of random walkers in a finite region of three dimensional space. We consider an oscillator for each walker and demonstrate that depending upon the network parameters and hence the interaction between them, global oscillation in the network gets suppressed. In this framework, vision range of each oscillator decides the number of oscillators with which it interacts. In addition, with the use of an appropriate feedback parameter in the coupling strategy, we articulate how the suppressed oscillation can be resurrected in the systems' parameter space. The phenomenon of amplitude death and the resurgence of oscillation is investigated taking limit cycle and chaotic oscillators for broad ranges of parameters, like interaction strength k between the entities, vision range r and the speed of movement v.

show abstract

mentioning

confidence: 73%

mentioning

confidence: 81%

See 1 more Smart Citation

Amplitude death and resurgence of oscillation in networks of mobile oscillators

Majhi¹,

Ghosh²

2017

EPL

Self Cite

View full text Add to dashboard Cite

show abstract

“…One Oscillator Namajūnas et al (1995), Hövel and Schöll (2005) Ahlborn and Parlitz ( 2004), Le et al (2012b) Two oscillators Aronson et al (1990), Woafo and Kraenkel (2002), Le et al (2010) Lu et al (1997, Reddy et al (1998), Konishi et al ( 2008) Konishi et al (2008), Le et al (2012c) Three oscillators Yamaguchi and Shimizu (1984), Le et al (2012a) Reddy et al (1998, Le et al ( 2013) Konishi et al (2010), Bera et al (2017) Network oscillators Osipov et al (1997) Burbidge (1984) about the problem of multi-cycle ordering, whereby each item has its own ordering cycle and is considered independently of any other required item. He summarised this effect by the "ordering cycle law" and states that "If the various components made in a factory are ordered and made to different time cycles, they will generate high amplitude and unpredictable variations in both stocks and load as the many contributing component stock cycles drift in and out of phase".…”

Section: Multiple Delay Connectionmentioning

confidence: 99%

Modelling oscillations in the supply chain: the case of a just-in-sequence supply process from the automotive industry

Klug

2021

J Bus Econ

View full text Add to dashboard Cite

Pervasive and ubiquitous oscillations, mapping the repetitive variation in time of a specific state, are well known as abundant phenomena in research and practice. Motivated by the success of oscillators in the modelling, analysis and control of dynamical systems, we developed a related approach for the dynamic description of supply chains. This paper aims to introduce a generic oscillator model for supply chains by the original application of oscillator equations. Therefore an established oscillator model for deductive modelling of supply chain echelons is used. With the help of coupled van der Pol oscillators, the dynamical interaction of an inventory system is described and applied to a real-life supply process in automotive industry. According to its reductionist approach only two differential equations are used to analyse a Just-in-Sequence supply process in car industry. Based on the fact that any oscillatory state can be reduced to the phase of the oscillation (phase reduction), a phase space map is generated. This compact visual reference of the supply process can act as the quantitative basis for an adaptive control mechanism during its operation. By delaying or accelerating the inventory oscillations of the supplier stock a detuned coupled supply process can be re-synchronised without changing the amplitude. An additional analysis of Hilbert transform is applied to determine the boundaries of phase-locking between the inventory oscillation phases, where the instantaneous phases are bounded. Furthermore parameters of the synchronisation threshold and the transient phases between synchronous and non-synchronous regimes have been investigated, supported by an Arnold tongue representation. The investigations show that with the help of a generic oscillatory model it is possible to measure and quantify phenomena of inventory dynamics in supply chains. Especially the analysis of synchronisation phenomena with the help of phase space and Arnold tongue representations foster developments of performance measurement in supply chain management.

show abstract

Oscillation death and revival by coupling with damped harmonic oscillator

Varshney

Saxena

Biswal

et al. 2017

Chaos: An Interdisciplinary Journal of Nonlinear Science

View full text Add to dashboard Cite

Dynamics of nonlinear oscillators augmented with co- and counter-rotating linear damped harmonic oscillator is studied in detail. Depending upon the sense of rotation of augmenting system, the collective dynamics converges to either synchronized periodic behaviour or oscillation death. Multistability is observed when there is a transition from periodic state to oscillation death. In the periodic region, the system is found to be in mixed synchronization state, which is characterized by the newly defined "relative phase angle" between the different axes.

show abstract

Resurgence of oscillation in coupled oscillators under delayed cyclic interaction

Cited by 4 publications

References 56 publications

Amplitude death and resurgence of oscillation in networks of mobile oscillators

Amplitude death and resurgence of oscillation in networks of mobile oscillators

Modelling oscillations in the supply chain: the case of a just-in-sequence supply process from the automotive industry

Oscillation death and revival by coupling with damped harmonic oscillator

Contact Info

Product

Resources

About