Insensitive nonreciprocal edge breathers
Bertin Many Manda, Vassos Achilleos

TL;DR
This paper explores how nonlinearity and nonreciprocity interact in topological mechanical metamaterials, revealing robust edge-localized waves called NEBs that maintain their frequency despite increasing nonlinearity, without needing symmetry protections.
Contribution
It introduces the concept of insensitive nonreciprocal edge breathers in a topological Klein-Gordon chain, demonstrating their persistence and frequency stability in nonlinear regimes.
Findings
Discovery of continuous families of nonreciprocal edge breathers.
Identification of insensitive NEBs with fixed nonlinear frequency.
Exponential decay of frequency shift with system size.
Abstract
We uncover subtle and previously unexplored phenomena arising from the interplay of nonlinearity and nonreciprocity in topological mechanical metamaterials. We study a nonreciprocal topological Klein-Gordon chain of asymmetrically coupled nonlinear oscillators, which serves as a minimal mass-spring model capturing the features of several active nonreciprocal metamaterials across mechanical, electronic, and acoustic platforms. We demonstrate that continuous families of nonreciprocal edge breathers (NEBs), namely boundary-localized, time-periodic waves, emerge from the linear edge mode as its amplitude increases. Remarkably, despite the absence of chiral or sublattice symmetries, we identify insensitive NEBs whose nonlinear frequency remains fixed to that of the linear edge mode with increasing nonlinearity. Our analysis reveals that the mechanism underlying this insensitivity stems from…
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Taxonomy
TopicsNonlinear Photonic Systems · Acoustic Wave Phenomena Research · Quantum Mechanics and Non-Hermitian Physics
