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Noise induced temporal patterns in populations of globally coupled oscillators

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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

Coding Along Hermite Polynomials for Gaussian Noise Channels

This paper shows that the capacity achieving input distribution for a fading Gaussian broadcast channel is not Gaussian in general. The construction of non-Gaussian distributions that strictly outperform Gaussian ones, for certain characterized fading dist ...

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

Adaptive Frequency Oscillators and Applications

Auke Ijspeert, Jonas Buchli, Ludovic Righetti

In this contribution we present a generic mechanism to transform an oscillator into an adaptive frequency oscillator, which can then dynamically adapt its parameters to learn the frequency of any periodic driving signal. Adaptation is done in a dynamic way ...

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

Phase-step estimation in interferometry via an unscented Kalman filter

Pramod Rastogi, Abhijit Patil

We present an unscented Kalman filter to identify the phase step imparted to a piezoelectric transducer in phase shifting interferometry in the presence of Gaussian noise. The advantage of the proposed algorithm lies in its ability to determine the phase s ...

2009

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

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

Engineering limit cycle systems

Jonas Buchli

In this thesis, we present a dynamical systems approach to adaptive controllers for locomotion control. The approach is based on a rigorous mathematical framework using nonlinear dynamical systems and is inspired by theories of self-organization. Nonlinear ...

EPFL2007

Modeling Self-Organized Aggregation in a Swarm of Miniature Robots

Alcherio Martinoli, Nicolaus Correll

We model the dynamics of self-organized robot aggregation inspired by a study on aggregation of gregarious arthropods. In swarms of German cockroaches, aggregation into clusters emerges solely from local interactions between the individuals, whereas the pr ...

2007

Dynamic hebbian learning in adaptive frequency oscillators

Auke Ijspeert, Jonas Buchli, Ludovic Righetti

Nonlinear oscillators are widely used in biology, physics and engineering for modeling and control. They are interesting because of their synchronization properties when coupled to other dynamical systems. In this paper, we propose a learning rule for osci ...

2006