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Lectures on Nonlinear Dynamics
This book presents a compilation of lectures delivered at the São Paulo School of Advanced Sciences on Nonlinear Dynamics, categorized into four...
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Nonlinear Dynamics
We provide an introduction to some basic concepts of nonlinear dynamics, focusing on those required in understanding noise effects in nonlinear... -
Constructive Nonlinear Dynamics – Foundations and Application to Robust Nonlinear Control
This paper summarizes two recently presented strategies based on bifurcation theory and nonlinear dynamics that address robust control design of... -
Nonlinear Dynamics in X-Structures
The class of X-structures/mechanisms have very obvious nonlinear stiffness and damping characteristics although these nonlinearities can be designed... -
Advances in Nonlinear Dynamics, Volume III Proceedings of the Third International Nonlinear Dynamics Conference (NODYCON 2023)
This third of three volumes presents papers from the third series of NODYCON to be held in June of 2023. The conference papers reflect a broad... -
Nonlinear dynamics of diamagnetically levitating resonators
The ultimate isolation offered by levitation provides new opportunities for studying fundamental science and realizing ultra-sensitive floating...
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Advances in Nonlinear Dynamics, Volume II Proceedings of the Third International Nonlinear Dynamics Conference (NODYCON 2023)
This second of three volumes presents papers from the third series of NODYCON to be held in June of 2023. The conference papers reflect a broad... -
Advances in Nonlinear Dynamics, Volume I Proceedings of the Third International Nonlinear Dynamics Conference (NODYCON 2023)
This volume aims to present the latest advancements in experimental, analytical, and numerical methodologies aimed at exploring the nonlinear... -
Generative learning for nonlinear dynamics
Modern generative machine learning models are able to create realistic outputs far beyond their training data, such as photorealistic artwork,...
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Delay Induced Nonlinear Dynamics
Since the 1970s, with the development of computer technology and numerical methods, researchers have gradually recognized that parameter... -
Nonlinear Dynamics and Computing in Recurrent Neural Networks
Nonlinearity is a key concept in the design and implementation of photonic neural networks for computing. This chapter introduces the fundamental... -
Data-driven learning and control of nonlinear system dynamics
This work falls into the field of discovering the dynamic equations of stabilizable nonlinear systems, via a learning-and-control algorithm to...
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Nonlinear Dynamics of Variable Mass Oscillators
This chapter starts by bringing a summary of the analytical dynamics of mechanical systems with mass varying explicitly with time and position. The... -
Nonlinear Dynamics of Time Delay Systems Methods and Applications
This book presents research advancements in the dynamics of systems with time delay conducted by the group led by Professor Jian Xu. Addressing the... -
Dynamics of Nonlinear Time Fractional Equations in Shallow Water Waves
This study investigates the modified nonlinear time fractional Harry Dym equation, incorporating the conformable fractional derivative. Functioning...
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Nonlinear Dynamics Analysis of a Deformable Robot Executing Driving Reconstruction
A deformable robot is a new type of robot that utilises a metamorphic mechanism into the field of robotics and switches between vehicular and...
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Symbolic Computation on a (2+1)-Dimensional Generalized Nonlinear Evolution System in Fluid Dynamics, Plasma Physics, Nonlinear Optics and Quantum Mechanics
Nowadays, people are interested in many nonlinear models in sciences and engineering, e.g., a (2+1)-dimensional generalized nonlinear evolution...
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Non-monotonic dynamics (mixed hardening/softening) in nonlinear continuous structures: An asymptotic formulation
Non-monotonic dynamics of nonlinear continuous structures, i.e., mixed hardening(H)/softening(S) behavior in the vicinity of H/S transition, is...
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Nonlinear Dynamics of a Micromechanical Non-Contact Induction Suspension
AbstractThe article constructs and studies a nonlinear electromechanical model of the motion of a microscale conductive non-deformable ring in a...
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An Introduction to Nonlinear Dynamics
This chapter discusses nonlinear aeroelastic responses by introducing the concepts of branches, Hopf’s bifurcation, and flip bifurcation. An example...