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It has been proposed to make practical use of chaos in communication, in enhancing mixing in chemical processes and in spreading the spectrum of switch-mode power suppies to avoid electromagnetic interference. It is however known that for…

chao-dyn · Physics 2009-10-31 Soumitro Banerjee , James A. Yorke , Celso Grebogi

Nonlinear dynamical systems possessing reflection symmetry have an invariant subspace in the phase space. The dynamics within the invariant subspace can be random or chaotic. As a system parameter changes, the motion transverse to the…

Chaotic Dynamics · Physics 2007-05-23 Changsong Zhou , C. -H. Lai

Harnessing chaos or intrinsic nonlinear behaviours from dynamical systems is a promising avenue for the development of unconventional information processing technologies. However, the exploitation of such features in spintronic devices has…

Chirality refers to the property that an object and its mirror image cannot overlap each other by spatial rotation and translation, and can be found in various research fields. We here propose chiral chaos and construct a chiral chaotic…

Quantum Physics · Physics 2025-02-17 Yun-Qiu Ge , Zhe Wang , Qian-Chuan Zhao , Jing Zhang , Yu-xi Liu

A theoretical analysis of the subharmonic generation process in an acoustical resonator (interferometer) with plane walls is performed. It is shown that, when both the pumping wave and the generated subharmonic are detuned with respect to…

Chaotic Dynamics · Physics 2016-09-08 Victor J. Sanchez-Morcillo , Victor Espinosa , Javier Redondo , Jesus Alba

By using nanoscale energy-transfer dynamics and density matrix formalism, we demonstrate theoretically and numerically that chaotic oscillation and random-number generation occur in a nanoscale system. The physical system consists of a pair…

Optics · Physics 2014-12-22 Makoto Naruse , Song-Ju Kim , Masashi Aono , Hirokazu Hori , Motoichi Ohtsu

Chaos is a phenomenon that occurs in many aspects of contemporary science. In classical dynamics, chaos is defined as a hypersensitivity to initial conditions. The presence of chaos is often unwanted, as it introduces unpredictability,…

Optics · Physics 2012-09-25 C. Liu , A. Di Falco , D. Molinari , Y. Khan , B. S. Ooi , T. F. Krauss , A. Fratalocchi

Stochastic resonance (SR) manifests as switching dynamics between two quasi-stationary states in the stochastic Mackey-Glass equation. We identify chaotic SR, arising from the coexistence of resonance and chaos in stochastic dynamics. In…

Chaotic Dynamics · Physics 2026-01-09 Eiki Kojima , Yuzuru Sato

Methods of communications using chaotic signals use an ability of a chaos generator (encoder) and matched response system (decoder) to behave identically despite the instability of chaotic oscillations. Chaotic oscillations cover a wide…

chao-dyn · Physics 2009-09-25 Nikolai F. Rulkov , Lev S. Tsimring

A variety of nonlinear models of biological systems generate complex chaotic behaviors that contrast with biological homeostasis, the observation that many biological systems prove remarkably robust in the face of changing external or…

Chaotic Dynamics · Physics 2023-07-07 Jonathan Jaquette , Sonal Kedia , Evelyn Sander , Jonathan D. Touboul

We show the possibility of controlling the dynamical behavior of a single fiber ring (SFR) resonator system with the fiber being an amplified (gain) channel and the ring being attenuated (loss) nonlinear dielectric medium. Our model is…

Chaotic Dynamics · Physics 2017-10-25 Jyoti P. Deka , Samit Kumar Gupta , Amarendra K. Sarma

We present a new optoelectronic architecture intended for chaotic optical intensity generation. The principle relies on an electro-optic non-linear delay dynamics, which non linearity is performed by a 4-waves integrated optics…

Optics · Physics 2009-06-08 Mourad Nourine , Michael Peil , Laurent Larger

This paper presents a new generator of chaotic bit sequences with mixed-mode (continuous and discrete) inputs. The generator has an improved level of chaotic properties in comparison with the existing single source (input) digital chaotic…

Chaotic Dynamics · Physics 2017-12-27 Michal Melosik , Wieslaw Marszalek

We theoretically and experimentally investigate the chaotic regime of optical frequency combs generated in nonlinear ring microresonators pumped with continuous wave light. We show that the chaotic regime reveals itself, in an apparently…

Optics · Physics 2015-06-12 Andrey B. Matsko , Wei Liang , Anatoliy A. Savchenkov , Lute Maleki

The phenomenon of Stochastic Resonance (SR) is reported in a completely noise-free situation, with the role of thermal noise being taken by low-dimensional chaos. A one-dimensional, piecewise linear map and a pair of coupled…

chao-dyn · Physics 2009-10-31 Sitabhra Sinha

Small-sized systems exhibit a finite number of routes to chaos. However, in extended systems, not all routes to complex spatiotemporal behavior have been fully explored. Starting from the sine-Gordon model of parametrically driven chain of…

Chaos is popularly associated with its property of sensitivity to initial conditions. In this paper we will show that there can be a flip side to this property which is quite fascinating and highly useful in many applications. As a result,…

Chaotic Dynamics · Physics 2009-05-05 Prabhakar G. Vaidya

The invariance of the Lyapunov exponent of a chaotic signal as it propagates along a wireless transmission channel provides a theoretical base for the application of chaos in wireless communication. In additive Gaussian channel, the chaotic…

Signal Processing · Electrical Eng. & Systems 2022-04-21 Hai-Peng Ren , Wu-Yun Zheng , Celso Grebogi

We suggest and experimentally demonstrate a chaotic memory resistor (memristor). The core of our approach is to use a resistive system whose equations of motion for its internal state variables are similar to those describing a particle in…

Mesoscale and Nanoscale Physics · Physics 2011-09-29 T. Driscoll , Y. V. Pershin , D. N. Basov , M. Di Ventra

Chaotic regimes of the microwave energy absorption are experimentally observed and analyzed for two-dimensional metallorganic antiferromagnet (NH_3)_2(CH_2)_4MnCl_4 at low temperatures under the conditions of nonlinear antiferromagnetic…

Chaotic Dynamics · Physics 2007-05-23 Mikhail M. Bogdan , Mikhail I. Kobets , Eugene N. Khats'ko