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The increasing complexity of neural networks and the energy consumption associated with training and inference create a need for alternative neuromorphic approaches, e.g. using optics. Current proposals and implementations rely on physical…

Optics · Physics 2023-08-31 Clara C. Wanjura , Florian Marquardt

A complete and harmonized fundamental circuit relational graph with four linear and four memory elements is constructed based on newly defined elements, which provides a guide to developing novel circuit functionalities in the future. In…

Mesoscale and Nanoscale Physics · Physics 2015-08-18 Dashan Shang , Yisheng Chai , Zexian Cao , Jun Lu , Young Sun

We experimentally demonstrate and numerically simulate a new adaptive method to maintain synchronization between coupled nonlinear chaotic oscillators, when the coupling between the systems is unknown and time-varying (e.g., due to…

We suggest a realization of a bistable non-volatile memory capacitor (memcapacitor). Its design utilizes a strained elastic membrane as a plate of a parallel-plate capacitor. The applied stress generates low and high capacitance…

Mesoscale and Nanoscale Physics · Physics 2011-09-29 J. Martinez-Rincon , Y. V. Pershin

In real-world control applications, actuator constraints and output constraints (specifically in tracking problems) are inherent and critical to ensuring safe and reliable operation. However, generally, control strategies often neglect…

Systems and Control · Electrical Eng. & Systems 2025-04-17 Saurabh Kumar , Shashi Ranjan Kumar , Abhinav Sinha

A generalized approach for the implementation of memristive two-terminal circuits with piesewise-smooth characteristics is proposed on the example of a multifunctional circuit based on a transistor switch. Two versions of the circuit are…

Adaptation and Self-Organizing Systems · Physics 2022-10-06 Vladimir V. Semenov

The prediction made by L. O. Chua 45+ years ago (see: IEEE Trans. Circuit Theory (1971) 18:507-519 and also: Proc. IEEE (2012) 100:1920-1927) about the existence of a passive circuit element (called memristor) that links the charge and flux…

Emerging Technologies · Computer Science 2017-03-14 Wieslaw Marszalek , Zdzislaw Trzaska

Chua's mem-components are ideal for creating adaptive metasurfaces for manipulating EM waves given that they hold their state without external biases. In this paper, we propose a generic adaptive reactive element that is in fact a…

Applied Physics · Physics 2019-07-26 J. Georgiou , K. M. Kossifos , A. H. Jaafar , N. T. Kemp , M. A. Antoniades

We introduce a data-based approach to estimating key quantities which arise in the study of nonlinear control systems and random nonlinear dynamical systems. Our approach hinges on the observation that much of the existing linear theory may…

Optimization and Control · Mathematics 2016-04-04 Jake Bouvrie , Boumediene Hamzi

In 2008, researchers at HP Labs published a paper in {\it Nature} reporting the realisation of a new basic circuit element that completes the missing link between charge and flux-linkage, which was postulated by Leon Chua in 1971. The HP…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 O. Kavehei , A. Iqbal , Y. S. Kim , K. Eshraghian , S. F. Al-Sarawi , D. Abbott

As it is getting increasingly difficult to achieve gains in the density and power efficiency of microelectronic computing devices because of lithographic techniques reaching fundamental physical limits, new approaches are required to…

Emerging Technologies · Computer Science 2017-07-05 Jean C. Coulombe , Mark C. A. York , Julien Sylvestre

We present approximate analytical method of analysis of stationary states of nonlinear quantum systems with the noise. As an example we consider quantum nonlinear oscillator excited by fluctuating force and found parameter regions with more…

Optics · Physics 2015-01-06 Igor Protsenko , Evgenii Protsenko , Alexander Uskov

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

For a network of interconnected nonlinear dynamical systems an adaptive leader-follower output feedback synchronization problem is considered. The proposed structure of decentralized controller and adaptation algorithm is based on…

Optimization and Control · Mathematics 2009-12-14 Alexander L. Fradkov , Ibragim A. Junussov

Driven quantum nonlinear oscillators, while essential for quantum technologies, are generally prone to complex chaotic dynamics that fall beyond the reach of perturbative analysis. By focusing on subharmonic bifurcations of a harmonically…

Quantum Physics · Physics 2023-04-18 Michiel Burgelman , Pierre Rouchon , Alain Sarlette , Mazyar Mirrahimi

We study the stochastic resonance phenomenon occurring in electronic Chua circuits operating in the chaotic regime when the forcing signal is modulated at relatively high frequency, of the order of magnitude of the main Chua frequency in…

Condensed Matter · Physics 2009-11-10 I. Gomes , C. Mirasso , R. Toral , O. Calvo

Singularities arise in diverse disciplines and play a key role in both exploring fundamental laws of physics and making highly-sensitive sensors. Higher-order (>3) singularities, with further improved performance, however, usually require…

Computers are nonlinear dynamical systems that exhibit complex and sometimes even chaotic behavior. The models used in the computer systems community, however, are linear. This paper is an exploration of that disconnect: when linear models…

Chaotic Dynamics · Physics 2014-05-06 Joshua Garland , Elizabeth Bradley

A design framework to implement non-unitary input-output operations to a practical unitary photonic integrated circuit is described. This is achieved by utilising the cosine-sine decomposition to recover the unitarity of the original…

Optics · Physics 2025-01-15 Hussein Talib , Phillip D. Sewell , Ana Vukovic , Sendy Phang

In this paper, we report an improved implementation of an inductorless third order autonomous canonical Chua's circuit. The active elements as well as the synthetic inductor employed in this circuit are designed using current feedback…

Chaotic Dynamics · Physics 2014-08-22 R. Jothimurugan , K. Suresh , P. Megavarna Ezhilarasu , K. Thamilmaran
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