Exploiting the time-reversal invariance and reciprocal properties of the lossless wave equation enables elegantly simple solutions to complex wave-scattering problems and is embodied in the time-reversal mirror. Here we demonstrate the implementation of an electromagnetic time-reversal mirror in a wave chaotic system containing a discrete nonlinearity. We demonstrate that the time-reversed nonlinear excitations reconstruct exclusively upon the source of the nonlinearity. As an example of its utility, we demonstrate a new form of secure communication and point out other applications.
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http://dx.doi.org/10.1103/PhysRevLett.110.063902 | DOI Listing |
In this Letter, an integrated deceptive sensing and secure communication scheme based on random subcarrier (RSC) orthogonal frequency-division multiplexing (OFDM) in a photonics-assisted millimeter-wave (MMW) system is proposed. Based on chaotic encryption on bit and constellation level, the RSC-OFDM signal is used to further disturb the transmitting signal and achieve sensing deception. Moreover, to make full use of sensing function to achieve collaborative security, sensing-aided dynamic parameter (DP) encryption is designed, which uses sensing information as the random seed to get encryption DPs and sequences.
View Article and Find Full Text PDFRep Prog Phys
January 2025
Instytut Fizyki Teoretycznej, Wydział Fizyki, Astronomii i Informatyki Stosowanej, Uniwersytet Jagielloński, Łojasiewicza 11, PL-30-348 Kraków, Poland.
PLoS One
November 2024
Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad, Pakistan.
This study explores the Ivancevic Option Pricing Model, a nonlinear wave-based alternative to the Black-Scholes model, using adaptive nonlinear Schrödingerr equations to describe the option-pricing wave function influenced by stock price and time. Our focus is on a comprehensive analysis of this equation from multiple perspectives, including the study of soliton dynamics, chaotic patterns, wave structures, Poincaré maps, bifurcation diagrams, multistability, Lyapunov exponents, and an in-depth evaluation of the model's sensitivity. To begin, a wave transformation is applied to convert the partial differential equation into an ordinary differential equation, from which soliton solutions are derived using the [Formula: see text] method.
View Article and Find Full Text PDFPhys Rev E
October 2024
Max Planck Institute for Dynamics and Self-Organization, Göttingen, Germany; Institute for the Dynamics of Complex Systems, Georg-August-Universität Göttingen, Göttingen, Germany; and German Center for Cardiovascular Research (DZHK e.V., Partner Site Niedersachsen, Göttingen, Germany.
Life-threatening cardiac arrhythmias such as ventricular fibrillation are often based on chaotic spiral or scroll wave dynamics which can be self-terminating. In this work, we investigate the influence of conduction heterogeneities on the duration of such chaotic transients in generic models of excitable cardiac media. We observe that low and medium densities of heterogeneities extend the average transient lifetime, while at high densities very long transients, potentially persistent chaos, and periodic attractors occur.
View Article and Find Full Text PDFAdv Sci (Weinh)
January 2025
Research Center for Materials Nanoarchitectonics (MANA), National Institute for Materials Science, 1-1 Namiki, Tsukuba, Ibaraki, 305-0044, Japan.
Physical reservoirs are a promising approach for realizing high-performance artificial intelligence devices utilizing physical devices. Although nonlinear interfered spin-wave multi-detection exhibits high nonlinearity and the ability to map in high dimensional feature space, it does not have sufficient performance to process time-series data precisely. Herein, development of an iono-magnonic reservoir by combining such interfered spin wave multi-detection and ion-gating involving protonation-induced redox reaction triggered by the application of voltage is reported.
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