Mixed Nonlinear Response and Transition of Nonlinearity in a Piezoelectric Membrane [PDF]
, 2023 Nonlinearities play a critical role in the dynamics of mechanical resonators, enhancing sensitivity and enabling signal manipulation. Understanding the parameters affecting nonlinearities is crucial for developing strategies to counteract their effects or manipulate them for improved device performance. This study investigates the impact of fabrication-
arxiv +1 more source
How to Compute Invariant Manifolds and their Reduced Dynamics in High-Dimensional Finite-Element Models [PDF]
Nonlinear Dynamics (2021), 2021 Invariant manifolds are important constructs for the quantitative and qualitative understanding of nonlinear phenomena in dynamical systems. In nonlinear damped mechanical systems, for instance, spectral submanifolds have emerged as useful tools for the computation of forced response curves, backbone curves, detached resonance curves (isolas) via exact
arxiv +1 more source
Kernel Learning for Robust Dynamic Mode Decomposition: Linear and Nonlinear Disambiguation Optimization (LANDO) [PDF]
, 2021 Research in modern data-driven dynamical systems is typically focused on the three key challenges of high dimensionality, unknown dynamics, and nonlinearity. The dynamic mode decomposition (DMD) has emerged as a cornerstone for modeling high-dimensional systems from data.
arxiv +1 more source
Geometric and dynamic perspectives on phase-coherent and noncoherent chaos [PDF]
, 2012 Statistically distinguishing between phase-coherent and noncoherent chaotic dynamics from time series is a contemporary problem in nonlinear sciences.
Conover W. J. +14 more
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Optical chaos in nonlinear photonic crystals [PDF]
, 2002 We examine a spatial evolution of lightwaves in a nonlinear photonic crystal with a quadratic nonlinearity when simultaneously a second harmonic and a sum-frequency generation are quasi-phase-matched. We find the conditions of a transition to Hamiltonian
Alekseev, Kirill N. +1 more
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Nonlinear sub-switching regime of magnetization dynamics in photo-magnetic garnets [PDF]
, 2022 We analyze, both experimentally and numerically, the nonlinear regime of the photo-induced coherent magnetization dynamics in cobalt-doped yttrium iron garnet films. Photo-magnetic excitation with femtosecond laser pulses reveals a strongly nonlinear response of the spin subsystem with a significant increase of the effective Gilbert damping. By varying
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Fractal Measures and Nonlinear Dynamics of Overcontact Binaries [PDF]
, 2019 Overcontact binary stars are systems of two stars where the component stars are in contact with each other. This implies that they share a common envelope of gas.
Ambika, G., George, Sandip V., Misra, R.
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Symmetries and itineracy in nonlinear systems with many degrees of freedom [PDF]
, 2001 Tsuda examines the potential contribution of nonlinear dynamical systems, with many degrees of freedom, to understanding brain function. We offer suggestions concerning symmetry and transients to strengthen the physiological motivation and theoretical ...
Breakspear, M, Friston, K
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In situ control of integrated Kerr nonlinearity [PDF]
arXiv, 2021 Kerr nonlinearity in nanophotonic cavities provides a versatile platform to explore fundamental physical sciences and develop novel photonic technologies. This is driven by the precise dispersion control and significant field enhancement with nanoscale structures.
arxiv
On the computation of the slow dynamics of nonlinear modes of mechanical systems [PDF]
, 2020 A novel method for the numerical prediction of the slowly varying dynamics of nonlinear mechanical systems has been developed. The method is restricted to the regime of an isolated nonlinear mode and consists of a two-step procedure: In the first step, a multiharmonic analysis of the autonomous system is performed to directly compute the amplitude ...
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