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Concept

Limit cycle

Related publications (27)

A Dynamical System Approach to Realtime Obstacle Avoidance

Aude Billard, Seyed Mohammad Khansari Zadeh

This paper presents a novel approach to real-time obstacle avoidance based on dynamical systems (DS) that ensures impenetrability of multiple convex shaped objects. The proposed method can be applied to perform obstacle avoidance in Cartesian and Joint spa ...

Springer Verlag2012

Networks of Self-Adaptive Dynamical Systems

Max-Olivier Hongler, Julio Rodriguez

We discuss the adaptive behaviour of a collection of heterogeneous dynamical systems interacting via a weighted network. At each vertex, the network is endowed with a dynamical system with individual (initially different) control parameters governing the l ...

Oxford University Press2012

Self-Adaptive Attractor-Shaping for Oscillators Networks

Max-Olivier Hongler, Julio Rodriguez, Philippe Blanchard

We consider a network of N coupled limit cycle oscillators, each having a set of control parameters Λ_k, k = 1, . . . , N, that controls the frequency and the geometry of the limit cycle. We implement a self-adaptive mechanism that drives the local systems ...

2011

Networks of Self-Adaptive Dynamical Systems

Julio Rodriguez

The present work belongs to the vast body of research devoted to behaviors that emerge when homogeneous or heterogeneous agents interact. We adopt a stylized point of view in which the individual agents' activities can be assimilated into nonlinear dynamic ...

EPFL2011

100 mm dynamic stencils pattern sub-micrometre structures

Jürgen Brugger, Andreea Veronica Savu, Shenqi Xie

Dynamic stencil lithography uses a moving shadow-mask to draw patterns by having directionally evaporated material deposited through the stencil apertures onto the substrate. Sub-micrometre, two- dimensional patterning is demonstrated at full 100 mm wafer ...

2011

Positive feedbacks contribute to the robustness of the cell cycle with respect to molecular noise

Marc Hafner

Most cellular oscillators rely on interlocked positive and negative regulatory feedback loops. While a negative circuit is necessary and sufficient to have limit-cycle oscillations, the role of positive feedbacks is not clear. Here we investigate the possi ...

Springer Verlag2010

Parametric Resonance in Time-Dependent Networks of Hopf Oscillators

Max-Olivier Hongler, Julio Rodriguez

We study a collection of limit cycle oscillators with different frequencies interacting via networks. With static networks, our specific class of models produces a frequency learning mechanism leading the collection of oscillators to ultimately adopt a sin ...

2010