搜索结果: 1-15 共查到“数学 oscillators”相关记录29条 . 查询时间(0.093 秒)
Dynamics of a model of two delay-coupled relaxation oscillators
Coupled oscillators Devil’s Staircase Delay-differential equations
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2015/8/27
This paper investigates the dynamics of a new model of two coupled relaxation oscilla-tors. The model replaces the usual DDE (differential-delay equation) formulation with a discrete-time approach wit...
A digital model of coupled oscillators
Coupled oscillators Synchronization Digital oscillator
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2015/8/27
A new model of coupled oscillators is proposed and investigated. All phase variables and parameters are integer-valued. The model is shown to exhibit two types of motions, those which involve periodic...
We develop a general technique for proving the existence of chaotic attractors
for three-dimensional vector fields with two time scales. Our results connect
two important areas of dynamical systems:...
The state of a collection of phase-locked oscillators is determined by a single phase variable or cyclic
coordinate. This paper presents a computational method, Phaser, for estimating the phase of ph...
Design and optimization of LC oscillators
Automation components transistor LC oscillator function
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2015/8/11
We present a method for optimizing and automating component and transistor sizing for CMOS LC oscillators. We observe that the performance measures can be formulated as posynomial functions of the des...
Synchronization in counter-rotating oscillators
Synchronization counter-rotating oscillators
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2011/7/6
An oscillatory system can have clockwise and anticlockwise senses of rotation. We propose a general rule how to obtain counter-rotating oscillators from the definition of a dynamical system and then i...
Synchronization of forced quasi-periodic coupled oscillators
synchronization coupled van der Pol oscillators phase equations torus Lyapunov’s exponents
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2011/7/6
The problem of synchronization of coupled self-oscillators by external force is studied. The charts of Lyapunov's exponents in the "frequency - amplitude" parameter plane are obtained within the frame...
Complete chaotic synchronization and exclusion of mutual Pyragas control in two delay-coupled Rössler-type oscillators
complete synchronization time-delayed feedback control delay chaos R¨ossler model electronic circuits
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2011/7/6
Two identical chaotic oscillators that are mutually coupled via time delayed signals show very complex patterns of completely synchronized dynamics including stationary states and periodic as well as ...
Optimal phase response curves for stochastic synchronization of limit-cycle oscillators by common Poisson noise
Euler-Lagrange equation phase response curve limit-cycle oscillators Poisson noise
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2011/7/6
We consider optimization of phase response curves for stochastic synchronization of non-
interacting limit-cycle oscillators by common Poisson impulsive signals. The optimal functional
shape for suf...
Hierarchical Abstraction of Phase Response Curves of Synchronized Systems of Coupled Oscillators
Coupled Oscillators Response Curves Synchronized Systems
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2011/7/6
We prove that a group of injection-locked oscillators, each
modelled using a nonlinear phase macromodel, responds as a single
oscillator to small external perturbations. More precisely, we show that...
Noncommutative oscillators from a Hopf algebra twist deformation. A first principles derivation
Noncommutative oscillators Hopf algebra twist deformation principles derivation
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2011/3/3
Noncommutative oscillators are first-quantized through an abelian Drinfel’d twist deformation of a Hopf algebra and its action on a module. Several impor-tant and subtle issues making possible the qua...
Dynamical quorum-sensing and synchronization of nonlinear oscillators coupled through an external medium
Dynamical quorum-sensing synchronization of nonlinear oscillators external medium
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2010/12/28
Many biological and physical systems exhibit population-density dependent transitions to syn-
chronized oscillations in a process often termed \dynamical quorum sensing". Synchronization
frequently ...
Forced Nonlinear Resonance in a System of Coupled Oscillators
Forced Nonlinear Resonance System of Coupled Oscillators
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2011/1/19
We consider a resonantly perturbed system of coupled nonlinear oscillators with small dissipation and outer periodic perturbation. We show that for the large time t ∼ "−2 one component of ...
Exact solution of $D_N$ type quantum Calogero model through a mapping to free harmonic oscillators
$D_N$ type quantum Calogero model through free harmonic oscillators
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2011/3/3
We solve the eigenvalue problem of the DN type of Calogero model by mapping it to a set of decoupled quantum harmonic oscillators through a similarity transformation.In particular, we construct the ei...
Exact solution of $D_N$ type quantum Calogero model through a mapping to free harmonic oscillators
Exact solution of $D_N$ type quantum Calogero model mapping to free harmonic oscillators
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2010/12/28
We solve the eigenvalue problem of the DN type of Calogero model by mapping it to a set of decoupled quantum harmonic oscillators through a similarity transformation.In particular, we construct the ei...