15 papers · ranked by Valyu relevance
Krishna Manoj, Samadhan A. Pawar, R. I. Sujith
Nonlinear phenomena emerging from the coupled behaviour of a pair of oscillators have attracted considerable research attention over the years, of which, amplitude death (AD) and phase-flip bifurcation (PFB) are two noteworthy examples. Although theoretical research has postulated the coexistence of AD and PFB upon…
T. M. Bury, C. T. Bauch, M. Anand
Theory and observation tell us that many complex systems exhibit tipping points-thresholds involving an abrupt and irreversible transition to a contrasting dynamical regime. Such events are commonly referred to as critical transitions. Current research seeks to develop early warning signals (EWS) of critical…
Mohammed O. AL-Kaff, Hamdy A. El-Metwally, El-Metwally M. Elabbasy
In this study, we investigate the dynamics of a discrete-time with predator-prey system with a Holling-III type functional response model. The center manifold theorem and bifurcation theory are used to create existence conditions for flip bifurcations and Neimark-Sacker bifurcations. Bifurcation diagrams, maximum…
Yanhua Zhu, Xiangyi Ma, Jinliang Wang, Federico Frascoli + 1 more
The mussel-algae (M-A) system plays a crucial role in maintaining the balance of marine aquaculture ecosystems. Mussels filter algae from the water as a food source, while algae produce oxygen through photosynthesis and contribute to nutrient cycling. Fluctuations in the density and spatial distribution of algae…
Longfei Wei, Shouli Wang, Jing Wang, Eric A. Chitambar
This paper investigates how quantum entanglement and heterogeneous expectations jointly affect the stability, complexity, and controllability of a Cournot triopoly with isoelastic demand. Based on the Li-Du-Massar quantization scheme, we construct a discrete-time quantum Cournot triopoly in which three firms adopt…
Aqeel Ahmad, Fakher Abbas, Muhammad Farman, Evren Hincal + 3 more
'Abdul Ghaffar' 'Ali Akgül' 'Murad Khan Hassani'] To study the dynamical system, it is necessary to formulate the mathematical model to understand the dynamics of various diseases which are spread in the world wide. The objective of the research study is to assess the early diagnosis and treatment of cholera virus by…
Mochamad Apri, Jaap Molenaar, Maarten de Gee, George van Voorn + 1 more
'Diego Di Bernardo'] Robustness is an essential feature of biological systems, and any mathematical model that describes such a system should reflect this feature. Especially, persistence of oscillatory behavior is an important issue. A benchmark model for this phenomenon is the Laub-Loomis model, a nonlinear model for…
Soumyajit Seth, Abhijit Bera, Vikram Pakrashi
There exist extensive studies on periodic and random perturbations of various smooth maps investigating their dynamics. Unlike smooth maps, non-smooth maps are yet to be studied extensively under a stochastic regime. This paper presents a stochastic piecewise-smooth map derived from a simple inductorless switching…
Lucia Russo, Konstantinos Spiliotis, Francesco Giannino, Stefano Mazzoleni + 1 more
'Stefano Mazzoleni' 'Constantinos Siettos'] Ecosystems may be characterized by a complex dynamical behaviour where external disturbances and/or internal perturbations may trigger sudden/irreversible changes, called catastrophic shifts. Simple mathematical models in the form of ordinary and/or partial differential…
Xianghong Li, Yongjun Shen, Jian-Qiao Sun, Shaopu Yang
A new type of responses called as periodic-chaotic motion is found by numerical simulations in a Duffing oscillator with a slowly periodically parametric excitation. The periodic-chaotic motion is an attractor, and simultaneously possesses the feature of periodic and chaotic oscillations, which is a new addition to the…
Juan Ignacio Marrone, Jacques-Alexandre Sepulchre, Alejandra C. Ventura
'Alejandra C. Ventura'] In this article, we consider a double phosphorylation cycle, a ubiquitous signaling component, having the ability to display bistability, a behavior strongly related to the existence of positive feedback loops. If this component is connected to other signaling elements, it very likely undergoes…
Mathieu Desroches, John Rinzel, Serafim Rodrigues, Hugues Berry
Bursting is one of the fundamental rhythms that excitable cells can generate either in response to incoming stimuli or intrinsically. It has been a topic of intense research in computational biology for several decades. The classification of bursting oscillations in excitable systems has been the subject of active…
Everton S. Medeiros, Iberê L. Caldas, Murilo S. Baptista, Ulrike Feudel
'Ulrike Feudel'] Nonlinear dynamical systems may be exposed to tipping points, critical thresholds at which small changes in the external inputs or in the system’s parameters abruptly shift the system to an alternative state with a contrasting dynamical behavior. While tipping in a fold bifurcation of an equilibrium is…
Lan Zhou, Yu-Bo Sheng
Recently, the logic-qubit entanglement shows its potential application in future quantum communication and quantum network. However, the entanglement will suffer from the noise and decoherence. In this paper, we will investigate the first entanglement purification protocol for logic-qubit entanglement. We show that…
Maria Luisa Saggio, Andreas Spiegler, Christophe Bernard, Viktor K. Jirsa
'Viktor K. Jirsa'] Bursting is a phenomenon found in a variety of physical and biological systems. For example, in neuroscience, bursting is believed to play a key role in the way information is transferred in the nervous system. In this work, we propose a model that, appropriately tuned, can display several types of…