Analysis of phase-waves in coupled oscillators as a ladder

Yamauchi, Masayuki; Nishio, Yoshifumi; Ushida, Akio

doi:10.1109/iscas.2002.1010704

Cited by 7 publications

(6 citation statements)

References 2 publications

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“…The amplitudes of these waves are the phase differences 𝜓𝜓, which should not be confused with the wave's own phase. This type of excitation is known as phase waves [20]. We call them 𝜓𝜓-waves.…”

Section: Connected Time Crystalsmentioning

confidence: 99%

Time Crystals, Their Networks, and Self-Organized Vacuum

Manasson¹

2023

Preprint

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The phenomenon of dissipative self-organization is studied on the example of time-crystal networks. Par-ticular attention was given to transient processes, attractor topologies, phase transitions, and asymptotic stability. New concepts were introduced, including topological phases, spinorial states, and bond flavors. Concepts such as ground states, chemical potentials, elastic forces, temperature, and statistical distribu-tions were endowed with a new meaning associated with asymptotic stability. Phenomena usually at-tributed exclusively to quantum physics have been shown to occur in this essentially classical environment. They coexist with, and in some cases, such as charge quantization, are related to the phenomenon of time dilation. The approach was applied to model vacuum self-organization. We have shown that under the ac-tion of competing forces, such as gravity and antigravity, a cascade of phase transitions can transform an unorganized vacuum into phases in which interactions, fields and waves resemble electromagnetic, weak, and strong, and their elements can be used as building blocks for prototype particles. In addition, some interrelation field parameters and probabilities of particle transmutations were calculated, which are not predicted by the standard model. The results are consistent with the experiment. The presented material and methodology may be of interest for studying self-organization in different environments.

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Section: Connected Time Crystalsmentioning

confidence: 99%

Time Crystals, Their Networks, and Self-Organized Vacuum

Manasson¹

2023

Preprint

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“…Hardware rings of coupled oscillators, which can generate various oscillatory patterns by using the synchronization phenomena [19,20], have been employed as the structural elements of ANNs. However, given that most of the hardware neuron models contain inductors in their circuit architectures [19][20][21][22], they are difficult to implement in an integrated circuit (IC); thus, the use of such models is disadvantageous on the circuit scale [23]. In particular, ICs can be combined with mechanical parts of the robot by using microelectromechanical system (MEMS) technology, which can reduce the robot size to the millimeter scale.…”

Section: Introductionmentioning

confidence: 99%

Gait Generation of Multilegged Robots by using Hardware Artificial Neural Networks

Saito¹,

Ohara²,

Abe³

et al. 2018

Advanced Applications for Artificial Neural Networks

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Living organisms can act autonomously because biological neural networks process the environmental information in continuous time. Therefore, living organisms have inspired many applications of autonomous control to small-sized robots. In this chapter, a small-sized robot is controlled by a hardware artificial neural network (ANN) without software programs. Previously, the authors constructed a multilegged walking robot. The link mechanism of the limbs was designed to reduce the number of actuators. The current paper describes the basic characteristics of hardware ANNs that generate the gait for multilegged robots. The pulses emitted by the hardware ANN generate oscillating patterns of electrical activity. The pulse-type hardware ANN model has the basic features of a class II neuron model, which behaves like a resonator. Thus, gait generation by the hardware ANNs mimics the synchronization phenomena in biological neural networks. Consequently, our constructed hardware ANNs can generate multilegged robot gaits without requiring software programs.

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“…The phase-inversion wave is a phenomenon propagating phase states between adjacent oscillators [4]. The phase state between adjacent oscillators is changed from in-phase synchronization to anti-phase synchronization or from anti-phase synchronization to in-phase synchronization by the phase-inversion wave.…”

Section: Introductionmentioning

confidence: 99%

Propagation and reflection of phase differences on a lattice of coupled oscillators

Yamane

Yamauchi

2009

2009 IEEE International Symposium on Circuits and Systems

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In this study, the propagation phenomena of phase differences under 180 degrees between adjacent oscillators can be observed on coupled oscillators by inductors as a lattice. The phenomenon can be observed in transient states. We call the phenomenon "phase-waves." We explain the propagation and the reflection mechanisms of the phase-waves using frequencies of each oscillator and phase differences between adjacent oscillators. Furthermore, we discover to observe an other wave on the above same circuit. The wave can be observed in steady states. We call the wave "phase-inversion wave." We clarify a region which can be observed the phase-inversion waves.

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Analysis of phase-waves in coupled oscillators as a ladder

Cited by 7 publications

References 2 publications

Time Crystals, Their Networks, and Self-Organized Vacuum

Time Crystals, Their Networks, and Self-Organized Vacuum

Gait Generation of Multilegged Robots by using Hardware Artificial Neural Networks

Propagation and reflection of phase differences on a lattice of coupled oscillators

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