Emergence and mitigation of extreme events in a parametrically driven system with velocity-dependent potential

Abstract

In this paper, we discuss the emergence of extreme events in a parametrically driven non-polynomial mechanical system with a velocity-dependent potential. We confirm the occurrence of extreme events from the probability distribution function of the peaks, which exhibits a long-tail. We also present the mechanism for the occurrence of extreme events. We found that the probability of occurrence of extreme events alternatively increase and decrease with a brief region where the probability is zero. At the point of highest probability of extreme events, when the system is driven externally, we find that the probability decreases to zero. Our investigation confirms that the external drive can be used as an useful tool to mitigate extreme events in this nonlinear dynamical system. Through two parameter diagrams, we also demonstrate the regions where extreme events gets suppressed. In addition to the above, we show that extreme events persits when the sytem is influenced by noise and even gets transformed to super-extreme events when the state variable is influenced by noise.

arXiv comment27 pages, 15 figures

References in corpus (18)

• Observation of an Inverse Energy Cascade in Developed Acoustic Turbulence in Superfluid Helium
• Predictability and suppression of extreme events in complex systems
• Extreme events in excitable systems and mechanisms of their generation
• Route to extreme events in excitable systems
• Extreme intensity pulses in a semiconductor laser with a short external cavity
• Extreme events in Fitzhugh-Nagumo oscillators coupled with two time delays
• Wind generated rogue waves in an annular wave flume
• Quantification and prediction of extreme events in a one-dimensional nonlinear dispersive wave model
• Extreme events in a network of heterogeneous Josephson junctions
• Econophysics of adaptive power markets: When a market does not dampen fluctuations but amplifies them
• Riddled Basins of Attraction in Systems Exhibiting Extreme Events
• Intermittent large deviation of chaotic trajectory in Ikeda map: Signature of extreme events
• Different routes to chaos via strange nonchaotic attractor in a quasiperiodically forced system
• Data-driven prediction and prevention of extreme events in a spatially extended excitable system
• Extreme events in population dynamics with functional carrying capacity
• Suppression of deterministic and stochastic extreme desynchronization events using anticipated synchronization
• Closed-loop adaptive control of extreme events in a turbulent flow
• Statistics and Characteristics of Spatio-Temporally Rare Intense Events in Complex Ginzburg-Landau Models

Cited by in corpus (6)

• Extreme events in dynamical systems and random walkers: A review
• Extreme events in globally coupled chaotic maps
• Extreme events in a complex network: interplay between degree distribution and repulsive interaction
• Model-free prediction of emergence of extreme events in a parametrically driven nonlinear dynamical system by Deep Learning
• Extreme rotational events in a forced-damped nonlinear pendulum
• Constant Bias and Weak Second Periodic Forcing : Tools to Mitigate Extreme Events