We predict theoretically and verify experimentally the suppression of chaos in the Lorenz system driven by a high-frequency periodic or stochastic parametric force. We derive the theoretical criteria for chaos suppression and verify that they are in a good agreement with the results of numerical simulations and the experimental data obtained for an analog electronic circuit.
Download full-text PDF |
Source |
---|---|
http://dx.doi.org/10.1103/PhysRevE.72.036206 | DOI Listing |
Chaos
December 2024
Department of Basic Science and Humanities, Indian Institute of Information Technology, Bhagalpur 813210, India.
To manage risks and mitigate the transmission of infectious diseases, individuals often adopt strategies aimed at reducing interpersonal contact by implementing precautionary measures within their daily routines. These behavioral adjustments reduce the disease transmission rates. In this study, we present a novel mathematical model delineating diseases induced by carriers, incorporating multifaceted factors, such as psychological fear, media impact, and sanitation interventions.
View Article and Find Full Text PDFChaos
December 2024
Institut für Theoretische Physik, Universität Münster, Wilhelm-Klemm-Str. 9, 48149 Münster, Germany.
We employ weakly nonlinear theory to derive an amplitude equation for the conserved-Hopf instability, i.e., a generic large-scale oscillatory instability for systems with two conservation laws.
View Article and Find Full Text PDFChaos
December 2024
School of Science and Technology, Department of Physics and Mathematics, Nottingham Trent University, Nottingham NG11 8NS, United Kingdom.
In this paper, we investigate synchronization patterns and coherence for a network of delayed Wilson-Cowan nodes. To capture information processing across different brain regions, our model incorporates two distinct delays: an intra-nodal delay that reflects the time signals take to travel within a cortical region due to local circuitry and an inter-nodal delay representing the longer communication times associated with white matter connections between brain areas. To investigate the role of network topology, we consider a range of toy network structures as well as the known (macro-scale) cortical structure of the Macaque monkey.
View Article and Find Full Text PDFChaos
December 2024
Faculty of Engineering and Natural Sciences, Kadir Has University, 34083 Istanbul, Turkey.
Regime switching, the process where complex systems undergo transitions between qualitatively different dynamical states due to changes in their conditions, is a widespread phenomenon, from climate and ocean circulation, to ecosystems, power grids, and the brain. Capturing the mechanisms that give rise to isolated or sequential switching dynamics, as well as developing generic and robust methods for forecasting, detecting, and controlling them is essential for maintaining optimal performance and preventing dysfunctions or even collapses in complex systems. This Focus Issue provides new insights into regime switching, covering the recent advances in theoretical analysis harnessing the reduction approaches, as well as data-driven detection methods and non-feedback control strategies.
View Article and Find Full Text PDFChaos
December 2024
Departamento de Matemática Aplicada and IUMA, Computational Dynamics Group, Universidad de Zaragoza, Zaragoza E-50009, Spain.
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!