Extreme events in dynamical systems and random walkers: A review
Extreme events gain the attention of researchers due to their utmost importance in various
contexts ranging from climate to brain. An observable that deviates significantly from its long …
contexts ranging from climate to brain. An observable that deviates significantly from its long …
Critical transitions and their early warning signals in thermoacoustic systems
Many complex systems undergo critical transitions. A thermoacoustic system is one such
system which exhibits a catastrophic transition to a state of oscillatory instability known as …
system which exhibits a catastrophic transition to a state of oscillatory instability known as …
Extreme events in a forced BVP oscillator: Experimental and numerical studies
B Thangavel, S Srinivasan, T Kathamuthu - Chaos, Solitons & Fractals, 2021 - Elsevier
In this work, we report the existence of extreme events in the well known Bonhoeffer-van der
Pol (BVP) oscillator under the excitation of a periodically forced voltage. Extreme events …
Pol (BVP) oscillator under the excitation of a periodically forced voltage. Extreme events …
[HTML][HTML] Prediction of dragon king extreme events using machine learning approaches and its characterizations
P Durairaj, GK Sundararam, S Kanagaraj, K Rajagopal - Physics Letters A, 2023 - Elsevier
In this study, we employ a machine learning approach to infer the complex dynamics of
dragon king extreme events. Specifically, we utilize two distinct machine learning …
dragon king extreme events. Specifically, we utilize two distinct machine learning …
Emergence of extreme events in a quasiperiodic oscillator
Extreme events are unusual and rare large-amplitude fluctuations can occur unexpectedly in
nonlinear dynamical systems. Events above the extreme event threshold of the probability …
nonlinear dynamical systems. Events above the extreme event threshold of the probability …
Rijke tube: A nonlinear oscillator
Dynamical systems theory has emerged as an interdisciplinary area of research to
characterize the complex dynamical transitions in real-world systems. Various nonlinear …
characterize the complex dynamical transitions in real-world systems. Various nonlinear …
Different routes to large-intensity pulses in Zeeman laser model
SL Kingston, S Kumarasamy, M Balcerzak… - Optics …, 2023 - opg.optica.org
In this study, we report a rich variety of large-intensity pulses exhibited by a Zeeman laser
model. The instabilities in the system occur via three different dynamical processes, such as …
model. The instabilities in the system occur via three different dynamical processes, such as …
Emergence of extreme events in coupled systems with time-dependent interactions
S Kumarasamy, S Srinivasan, PB Gogoi… - … in Nonlinear Science and …, 2022 - Elsevier
We present a class of extreme events manifested in dynamical systems involving time-
dependent attractive and repulsive couplings. We consider two cases of time-varying …
dependent attractive and repulsive couplings. We consider two cases of time-varying …
Impact of time varying interaction: Formation and annihilation of extreme events in dynamical systems
S Leo Kingston, G Kumaran, A Ghosh… - … Journal of Nonlinear …, 2023 - pubs.aip.org
This study investigates the emergence of extreme events in two different coupled systems:
the FitzHugh–Nagumo neuron model and the forced Liénard system, both based on time …
the FitzHugh–Nagumo neuron model and the forced Liénard system, both based on time …
Mixed-mode oscillations and extreme events in fractional-order Bonhoeffer–van der Pol oscillator
In the present study, we investigate the dynamic behavior of the fractional-order Bonhoeffer–
van der Pol (BVP) oscillator. Previous studies on the integer-order BVP have shown that it …
van der Pol (BVP) oscillator. Previous studies on the integer-order BVP have shown that it …