Nonlinear Dynamics

🌟 Save the date for Nonlinear Dynamics Seminar: "What is the graph of a dynamical system?" 🌟 🎓 Presented by: Professor James A. Yorke, University of Maryland 📅 Date: Tuesday, 12th November 2024🕒 Time: 15:00 PM (Europe/Rome) 📍 Join Us: https://lnkd.in/dQ4DM8f7 Abstract: Frequently we describe a dynamical system in terms of an attractor. That can leave out important information about unstable invariant sets. These represent hidden behavior that can become important when the system is perturbed. The graph of a dynamical system enables us to try to encapsulate some of the complexity. Some examples of why this is important will be presented, from the very simple to the very complex. #NonlinearDynamics #ChaosTheory #SystemDynamics #Science #SpringerNature

🚨 Don’t miss the next NODY seminar! 🚨 'The Future of Timekeeping: Embracing Nonlinearity for Improved Precision' 📅 Speaker: Steve Shaw, Florida Institute of Technology 🕒 Date & Time: Tuesday, October 1, 2024, 3:00 PM – 3:40 PM (Europe/Rome) 🎥 Live Event: Hosted on Cassyni https://lnkd.in/dTU37-cu 📹 DOI: 10.1007/s11071-021-064053 Play video https://lnkd.in/ekN_gwR5 Join us for this insightful talk on cutting-edge advancements in timekeeping technology! Abstract: High-precision timekeeping is critical for applications like telecommunications and navigation. Modern clocks rely on self-sustained oscillators with lightly damped resonators that generate a desired frequency. Over time, resonator technology has advanced from Huygens' pendulum to quartz crystals, atomic transitions, and MEMS. Improving clock precision involves minimizing noise, often requiring resonator amplitudes to approach nonlinearity. In this talk, Prof. Shaw will explore clock dynamics and highlight the importance of understanding the interaction between nonlinearity and noise in enhancing precision, supported by predictive modeling and experimental data from MEMS oscillators. Key Learning Objectives - Clocks are modeled by limit cycles with a counter - Clock precision is described by frequency stability which depends on noise properties of the resonator and supporting electronics - Micro-scale resonators consist of tiny vibrating structures that interface with electronics and are ubiquitous in modern electronics - These devices are essential components in cell phones, computers, vehicle stability systems, etc. - Clock precision can be improved by going beyond the linear range, which requires an understanding of the interplay of nonlinearity and noise #Nonlineardynamics #Cassyni #MEMS #Timekeeping

🎥 Excited to share my interview with Italy's national TV channel, RAI Cultura, as part of the Rome Technopole initiative! We dive into fascinating topics like nonlinear vibration damping, metamaterials, and the role of AI in dynamical systems identification. 🤖🔧 Check it out! PS What you'll see is the result of an incredible team effort alongside my my amazing colleagues—Prof. Biagio Carboni, Prof. Giuseppe Quaranta, Dr. Laura Di Gregorio—and all our dedicated PhD students: Sawan Kumar Guruva, Pranath Kumar Gourishetty, Vinay Yadav Janga, JASNA JAMAL, Stefano Catarci, and Toby Zhang. Special thanks to #AFOSR for supporting our first metamaterials project! #RomeTechnopole #AFOSR #EOARD #Sapienza #RAI #Metamaterials #VibrationDamping #TunedMassDamper #AI #SpaceEngineering

📡 Just hot off the press from Nonlinear Dynamics, an open access review on "Advances in nonlinear acoustic/elastic metamaterials and metastructures" https://lnkd.in/dTJYV8PM 📷 Acoustic/elastic #metamaterials: from FPUT chains to granular crystals, nonlinear acoustic metamaterials (NAMs) are breaking the rules of wave behavior. 📷🌟   This review, part of a forthcoming Special Issue on #metamaterials, dives into:     🌊 Wave manipulation     🛠️ Vibration control     🎭 Sound attenuation   📷 NAMs are not just bending waves; they're redefining them! Explore amplitude-dependent bandgaps 📈, self-adaptive bands 🔄, and  nonreciprocal wave control 🌀. Learn about the challenges and the future ahead in metamaterial research where waves don't follow traditional  paths, where sound can be tamed in ways we never thought possible!  📷🚀 #AcousticMetamaterials #Metamaterials #WaveManipulation #Engineering #FutureTech #Nonlineardynamics #SpringerNature

🎉 Don't Miss This Feature Article in Nonlinear Dynamics! 📊 https://lnkd.in/djZbyy5X 🔍 A New Twist in System Dynamics Analysis with Data-Driven Linearization (DDL) 🌟 Introducing a groundbreaking paradigm shift! 🚀 This research provides a robust justification for Dynamic Mode Decomposition (DMD) as a local, leading-order reduced model, applicable in scenarios that are almost universally encountered in real-world applications. Whether you're dealing with autonomous or periodically forced systems, this method holds across finite or infinite dimensions. DMD and its extension, Extended DMD (EDMD), have been pivotal in modeling complex dynamical systems from observable data. However, their performance can be hit or miss, leading us to ponder: Under what conditions does DMD truly shine? 🤔 Current interpretations via the Koopman operator often rest on assumptions that are statistically unlikely. 😕 The authors have ingeniously crafted linearizing transformations within attracting slow spectral submanifolds (SSMs) to capture the essence of the dominant dynamics. 🌐 📖 Dive into the Details: https://lnkd.in/djZbyy5X 📜 #DMD #EDMD #DataDrivenLinearization #DDL #SystemDynamics #DataAnalysis #MachineLearning #Science #NonlinearDynamics 🎓📚