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This research investigates the dynamics of a forced Lienard oscillator featuring asymmetric potential wells. We provide compelling evidence of extreme events (EE) in the system by manipulating the height of the potential well. In the case…

混沌动力学 · 物理学 2024-11-20 B. Kaviya , R. Suresh , V. K. Chandrasekar

Extreme events are unusual and rare large-amplitude fluctuations that occur can unexpectedly in nonlinear dynamical systems. Events above the extreme event threshold of the probability distribution of a nonlinear process characterize…

数据分析、统计与概率 · 物理学 2023-03-08 Premraj Durairaj , Sathiyadevi Kanagaraj , Suresh Kumarasamy , Karthikeyan Rajagopal

The two paradigmatic nonlinear oscillatory models with parametric excitation are studied. The authors provide theoretical evidence for the appearance of extreme events (EEs) in those systems. First, the authors consider a well known Lienard…

适应与自组织系统 · 物理学 2020-08-18 R. Suresh , V. K. Chandrasekar

We report a new type of extreme event - extreme irregular mixed-mode oscillatory burst - appearing in an asymmetric double-welled, driven Helmholtz-Duffing oscillator. The interplay of cubic and quadratic nonlinearities in the system, along…

混沌动力学 · 物理学 2025-01-22 S. Sudharsan , Subramanian Ramakrishnan

The spatiotemporal complexity induced by perturbed initial excitations through the development of modulational instability in nonlinear lattices with or without disorder, may lead to the formation of very high amplitude, localized transient…

无序系统与神经网络 · 物理学 2019-07-19 G. P. Tsironis , N. Lazarides , A Maluckov , Lj. Hadzievski

In this work, we report the emergence of extreme events in a damped and driven velocity-dependent mechanical system. We observe that the extreme events emerge at multiple points. We further notice that the extreme events occur symmetrically…

混沌动力学 · 物理学 2021-06-18 Sudharsan S , Venkatesan A , Senthilvelan M

We study a one-dimensional chain of harmonically coupled units in an asymmetric anharmonic soft potential. Due to nonlinear localisation of energy, this system exhibits extreme events in the sense that individual elements of the chain show…

混沌动力学 · 物理学 2016-12-28 Colm Mulhern , Stephan Bialonski , Holger Kantz

Since 1970, the R\"ossler system has remained as a considerably simpler and minimal dimensional chaos serving system. Unveiling the dynamics of a system of two coupled chaotic oscillators that leads to the emergence of extreme events in the…

混沌动力学 · 物理学 2024-09-25 S. Sudharsan , Tapas Kumar Pal , Dibakar Ghosh , Jürgen Kurths

Spatiotemporal complexity is induced in a two dimensional nonlinear disordered lattice through the modulational instability of an initially weakly perturbed excitation. In the course of evolution we observe the formation of transient as…

适应与自组织系统 · 物理学 2015-06-04 A. Maluckov , N. Lazarides , G. P. Tsironis , Lj. Hadzievski

The passively Q-switched, self-pulsing all-solid-state laser is a device of widespread use in many applications. Depending on the condition of saturation, which is easy to adjust, different dynamical phenomena are observed: continuous wave…

光学 · 物理学 2018-04-04 Carlos Bonazzola , Alejandro Hnilo , Marcelo Kovalsky , Jorge Tredicce

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…

统计力学 · 物理学 2021-06-22 S. Sudharsan , A. Venkatesan , P. Muruganandam , M. Senthilvelan

Systems of FitzHugh-Nagumo units with different coupling topologies are capable of self-generating and -terminating strong deviations from their regular dynamics that can be regarded as extreme events due to their rareness and recurrent…

混沌动力学 · 物理学 2014-08-28 Rajat Karnatak , Gerrit Ansmann , Ulrike Feudel , Klaus Lehnertz

The Murali-Lakshmanan-Chua (MLC) circuit is a well-recognized prominent nonlinear, nonautonomous, and dissipative electronic circuit having a versatile chaotic nature. Unraveling the dynamical synergy responsible for the genesis of extreme…

混沌动力学 · 物理学 2026-04-23 Tapas Kumar Pa , Dibakar Ghosh

A sudden transition to a state of high amplitude limit cycle oscillations is catastrophic in a thermo-fluid system. Conventionally, upon varying the control parameter, a sudden transition is observed as an abrupt jump in the amplitude of…

Extreme events are ubiquitous in a wide range of dynamical systems, including turbulent fluid flows, nonlinear waves, large scale networks and biological systems. Here, we propose a variational framework for probing conditions that trigger…

流体动力学 · 物理学 2018-07-10 Mohammad Farazmand , Themistoklis P. Sapsis

Large-scale instabilities occurring in the presence of small-scale turbulent fluctuations are frequently observed in geophysical or astrophysical contexts but are difficult to reproduce in the laboratory. Using extensive numerical…

流体动力学 · 物理学 2014-05-06 Geert Brethouwer , Philipp Schlatter , Yohann Duguet , Dan S. Henningson , Arne V. Johansson

Intermittent large amplitude events are seen in the temporal evolution of a state variable of many dynamical systems. Such intermittent large events suddenly start appearing in dynamical systems at a critical value of a system parameter and…

Runaway electrons with strongly anisotropic distributions present in post-disruption tokamak plasmas can destabilize the extraordinary electron (EXEL) wave. The present work investigates the dynamics of the quasi-linear evolution of the…

等离子体物理 · 物理学 2015-02-26 G. I. Pokol , A. Kómár , A. Budai , A. Stahl , T. Fülöp

We study deterministic systems, composed of excitable units of FitzHugh-Nagumo type, that are capable of self-generating and self-terminating strong deviations from their regular dynamics without the influence of noise or parameter change.…

混沌动力学 · 物理学 2014-08-28 Gerrit Ansmann , Rajat Karnatak , Klaus Lehnertz , Ulrike Feudel

Many turbulent flows undergo drastic and abrupt configuration changes with huge impacts. As a paradigmatic example we study the multistability of jet dynamics in a barotropic beta plane model of atmosphere dynamics. It is considered as the…

统计力学 · 物理学 2019-02-27 Freddy Bouchet , Joran Rolland , Eric Simonnet
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