Publications related to Dynamic hebbian learning in adaptive frequency oscillators

On-line learning and modulation of periodic movements with nonlinear dynamical systems

Abstract The paper presents a two-layered system for (1) learning and encoding a periodic signal without any knowledge on its frequency and waveform, and (2) modulating the learned periodic trajectory in response to external events. The system is used to l ...

2009

Networks of mixed canonical-dissipative systems and dynamic hebbian learning

Max-Olivier Hongler, Julio Rodriguez

We study the dynamics of a network consisting of N diffusively coupled, stable- limit-cycle oscillators on which individual frequencies are parametrized by

w_k, k = 1, . . . ,N

. We introduce a learning rule which influences the wk by driving the system t ...

2009

Frequency synchronization in a random oscillator network

Martin Hasler

In this paper we study the transition from incoherence to coherence in large network of arbitrary coupled, heterogeneous, continuous-time dynamical systems (phase oscillators). We analytically study a generalized Kuramoto model by the instrumentality of or ...

2009

Networks of limit cycle oscillators with parametric learning capability

Max-Olivier Hongler, Julio Rodriguez

The fundamental idea that synchronized patterns emerge in networks of interacting oscillators is revisited by allowing a parametric learning mechanism to operate on the local dynamics. The local dynamics consist of stable limit cycle oscillators which, due ...

Springer2009

Noise induced temporal patterns in populations of globally coupled oscillators

Max-Olivier Hongler, Roger Filliger, Philippe Blanchard, Julio Rodriguez

The population dynamics of an assembly of globally coupled homogeneous phase oscillators is studied in presence of non-Gaussian fluctuations. The variance of the underlying stochastic process grows as t + \beta^2 t^2 ( \beta being a constant) and therefore ...

Shaker Verlag2009

Movement Curvature Planning through Force Field Internal Models

Aude Billard, Biljana Petreska von Ritter-Zahony

Human motion studies have focused primarily on modeling straight point-to-point reaching movements. However, many goal-directed reaching movements, such as movements directed towards oneself, are not straight but rather follow highly curved trajectories. T ...

2009

9 MHz vibrating body FET tuning fork oscillator

Mihai Adrian Ionescu, Maher Kayal, Daniel Grogg, Fabrizio Lo Conte

A 9.4MHz micro-electromechanical oscillator based on a Vibrating Body Field Effect Transistor (VB-FET) is presented in this work. The tuning fork VB-FET used in this work provides a high quality factor of 9400 in the open-loop configuration and a low equiv ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2009

Frequency analysis with coupled nonlinear oscillators

Auke Ijspeert, Jonas Buchli, Ludovic Righetti

We present a method to obtain the frequency spectrum of a signal with a nonlinear dynamical system. The dynamical system is composed of a pool of adaptive frequency oscillators with negative mean-field coupling. For the frequency analysis, the synchronizat ...

2008

Dynamical system for learning the waveform and frequency of periodic signals - application to drumming

Auke Ijspeert, Sarah Dégallier Rochat

The paper presents a two-layered system for learning and encoding a periodic signal and its application to a drumming task. The two layers are the dynamical system responsible for extracting the main frequency of the input signal, based on adaptive frequen ...

2008

Miniaturized PMMA ball-valve micropump with cylindrical electromagnetic actuator

Martinus Gijs, Christophe Yamahata, Meng Shen

We have fabricated and characterized a reciprocating poly(methylmetacrylate) (PMMA) ball-valve micropump actuated with a miniaturized cylindrical electromagnetic circuit. By finite element calculations, we have optimized the structure of the electromagnet ...

2008

Dynamic hebbian learning in adaptive frequency oscillators

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On-line learning and modulation of periodic movements with nonlinear dynamical systems

Networks of mixed canonical-dissipative systems and dynamic hebbian learning

Frequency synchronization in a random oscillator network

Networks of limit cycle oscillators with parametric learning capability

Noise induced temporal patterns in populations of globally coupled oscillators

Movement Curvature Planning through Force Field Internal Models

9 MHz vibrating body FET tuning fork oscillator

Frequency analysis with coupled nonlinear oscillators

Dynamical system for learning the waveform and frequency of periodic signals - application to drumming

Miniaturized PMMA ball-valve micropump with cylindrical electromagnetic actuator

Movement Curvature Planning through Force Field Internal Models

Noise induced temporal patterns in populations of globally coupled oscillators

9 MHz vibrating body FET tuning fork oscillator

Frequency synchronization in a random oscillator network

Networks of mixed canonical-dissipative systems and dynamic hebbian learning

Networks of limit cycle oscillators with parametric learning capability

On-line learning and modulation of periodic movements with nonlinear dynamical systems

Frequency analysis with coupled nonlinear oscillators

Miniaturized PMMA ball-valve micropump with cylindrical electromagnetic actuator

Dynamical system for learning the waveform and frequency of periodic signals - application to drumming