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This book chapter describes the dynamics of a modulated oscillator for resonant and nonresonant modulation. Two types of resonant modulation are considered: additive, with frequency close to the oscillator eigenfrequency, and parametric,…

Mesoscale and Nanoscale Physics · Physics 2011-12-13 M. I. Dykman

We report a resistance based threshold logic family useful for mimicking brain like large variable logic functions in VLSI. A universal Boolean logic cell based on an analog resistive divider and threshold logic circuit is presented. The…

Emerging Technologies · Computer Science 2013-08-03 A. P. James , L. R. V. J. Francis , D. Kumar

Natural frequencies and normal modes are basic properties of a structure which play important roles in analyses of its vibrational characteristics. As their computation reduces to solving eigenvalue problems, it is a natural arena for…

Quantum Physics · Physics 2023-08-29 Yasunori Lee , Keita Kanno

Nanoparticles interconnected by insulating organic molecules exhibit nonlinear switching behavior at low temperatures. By assembling these switches into a network and manipulating charge transport dynamics through surrounding electrodes,…

Emerging Technologies · Computer Science 2023-12-11 Jonas Mensing , Wilfred G. van der Wiel , Andreas Heuer

Equilibrium logic is an approach to nonmonotonic reasoning that extends the stable-model and answer-set semantics for logic programs. In particular, it includes the general case of nested logic programs, where arbitrary Boolean combinations…

Logic in Computer Science · Computer Science 2009-12-30 David Pearce , Hans Tompits , Stefan Woltran

Nonlinear analysis of the phase-locked loop (PLL) based circuits is a challenging task, thus in modern engineering literature simplified mathematical models and simulation are widely used for their study. In this work the limitations of…

Other Computer Science · Computer Science 2016-11-15 G. Bianchi , N. V. Kuznetsov , G. A. Leonov , M. V. Yuldashev , R. V. Yuldashev

We demonstrate an analytical method for calculating the phase sensitivity of a class of oscillators whose phase does not affect the time evolution of the other dynamic variables. We show that such oscillators possess the possibility for…

Other Condensed Matter · Physics 2012-11-15 Eyal Kenig , M. C. Cross , L. G. Villanueva , R. B. Karabalin , M. H. Matheny , Ron Lifshitz , M. L. Roukes

It has been shown that unclocked, recurrent networks of Boolean gates in FPGAs can be used for low-SWaP reservoir computing. In such systems, topology and node functionality of the network are randomly initialized. To create a network that…

Neural and Evolutionary Computing · Computer Science 2024-03-21 Raphael Norman-Tenazas , David Kleinberg , Erik C. Johnson , Daniel P. Lathrop , Matthew J. Roos

Non-linearities are a key feature allowing non-classical control of quantum harmonic oscillators. However, when non-linearities are strong, designing protocols for control is often difficult, placing a barrier to exploiting these properties…

The main limitation in order to exploit spin torque nano-oscillators (STNOs) in various potential applications is their large phase noise. In this work, we demonstrate its efficient reduction by a highly reconfigurable, compact,…

An intriguing interpretation of the time-evolution of dynamical systems is to view it as a computation that transforms an initial state to a final one. This paradigm has been explored in discrete systems such as cellular automata models,…

Pattern Formation and Solitons · Physics 2014-05-13 Shakti N. Menon , Sitabhra Sinha

The response of a passive mode-locking mechanism, where gain and spectral filtering are saturated with the energy and loss saturated with the power, is examined under the presence of higher order effects. These include third order…

Optics · Physics 2015-06-22 Theodoros P. Horikis , Mark J. Ablowitz

The end of Moore's law for CMOS technology has prompted the search for low-power computing alternatives, resulting in several promising proposals based on magnetic logic[1-8]. One approach aims at tailoring arrays of nanomagnetic islands in…

Mesoscale and Nanoscale Physics · Physics 2021-09-08 Pieter Gypens , Jonathan Leliaert , Massimiliano Di Ventra , Bartel Van Waeyenberge , Daniele Pinna

Boolean functions and binary arithmetic operations are central to standard computing paradigms. Accordingly, many advances in computing have focused upon how to make these operations more efficient as well as exploring what they can…

Neural and Evolutionary Computing · Computer Science 2022-03-25 James B. Aimone , Aaron J. Hill , William M. Severa , Craig M. Vineyard

A variety of problems emerged investigating electronic circuits, computer devices and cellular automata motivated a number of attempts to create a differential and integral calculus for Boolean functions. In the present article, we extend…

Logic · Mathematics 2016-08-17 Eduardo Mizraji

The observation of quantized nanomechanical oscillations by detecting femtometer-scale displacements is a significant challenge for experimentalists. We propose that phonon blockade can serve as a signature of quantum behavior in…

Quantum Physics · Physics 2015-05-14 Yu-xi Liu , Adam Miranowicz , Y. B. Gao , J. Bajer , C. P. Sun , Franco Nori

Memtranstor that correlates charge and magnetic flux via nonlinear magnetoelectric effects has a great potential in developing next-generation nonvolatile devices. In addition to multi-level nonvolatile memory, we demonstrate here that…

Emerging Technologies · Computer Science 2017-01-04 Jianxin Shen , Dashan Shang , Yisheng Chai , Yue Wang , Junzhuang Cong , Shipeng Shen , Liqin Yan , Wenhong Wang , Young Sun

Networks of coupled nonlinear oscillators can display a wide range of emergent behaviours under variation of the strength of the coupling. Network equations for pairs of coupled oscillators where the dynamics of each node is described by…

Dynamical Systems · Mathematics 2023-10-05 Rachel Nicks , Robert Allen , Stephen Coombes

Reactive synthesis aims at automatic construction of systems from their behavioural specifications. The research mostly focuses on synthesis of systems dealing with Boolean signals. But real-life systems are often described using…

Formal Languages and Automata Theory · Computer Science 2018-09-14 Ayrat Khalimov , Benedikt Maderbacher , Roderick Bloem

Models of coupled oscillators are useful in describing a wide variety of phenomena in physics, biology and economics. These models typically rest on the premise that the oscillators are weakly coupled, meaning that amplitudes can be assumed…

Quantitative Methods · Quantitative Biology 2018-12-18 Erik D. Fagerholm , Rosalyn J. Moran , Inês R. Violante , Robert Leech , Karl J. Friston