Concept

Rössler attractor

Related publications (46)

Steady-state Solutions in Mathematical Models of Atrial Cell Electrophysiology and their Stability

The steady states of the Fenton–Karma, the Courtemanche and the Nygren cell models were studied by determining the fixed points of the dynamical system describing their cell kinetics. The linear stability of the fixed points was investigated, as well as th ...

2007

BWR stability and bifurcation analysis using reduced order models and system codes: Identification of a subcritical Hopf bifurcation using RAMONA

Rakesh Chawla, Abdelhamid Dokhane

The system code RAMONA, as well as a recently developed BWR reduced order model (ROM), are employed for the stability analysis of a specific operational point of the Leibstadt nuclear power plant. This has been done in order to assess the ROM's applicabili ...

2007

Movement generation using dynamical systems: a humanoid robot performing a drumming task

Auke Ijspeert, Ludovic Righetti, Sarah Dégallier Rochat

The online generation of trajectories in humanoid robots remains a difficult problem. In this contribution, we present a system that allows the superposition, and the switch between, discrete and rhythmic movements. Our approach uses nonlinear dynamical sy ...

2006

Controlled One- and Multidimensional Modulations Using Chaotic Maps

Martin Hasler, Thomas Schimming, Slobodan Kozic

Recently, several approaches for communications using chaos have been presented, often showing less than acceptable performance. In this paper, a short introduction to the topic is given, and it is shown that such methods can be efficient—if the informatio ...

2006

Coded Modulation Based on Higher Dimensional Chaotic Maps

Thomas Schimming, Slobodan Kozic

In this paper we examine coded modulations based on iterations of higher dimensional piece-wise linear maps(PWLM). Particulary, we study a generalization of the Bernoulli map in higher dimensions and its application to communications. In the proposed schem ...

2005

Classification of chaotic sequences with open-loop estimator - Optimal design for noisy environments

Martin Hasler, Thomas Schimming

In this paper, an approach based on ergodic properties for classifying sequences is given. It is particularly robust due to the open loop structure of the detector. Unlike previous works in this direction, such as those concerning the inverse system approa ...

2004

Coding and Learning of behavioral sequences

Wulfram Gerstner, Henry Markram

A major challenge to understanding behavior is how the nervous system allows the learning of behavioral sequences that can occur over arbitrary timescales, ranging from milliseconds up to seconds, using a fixed millisecond learning rule. This article descr ...

2004

Persistent clusters in lattices of coupled nonidentical chaotic systems

Martin Hasler, Igor Belykh

Two-dimensional (2D) lattices of diffusively coupled chaotic oscillators are studied. In previous work, it was shown that various cluster synchronization regimes exist when the oscillators are identical. Here, analytical and numerical studies allow us to c ...

2003

Nonlocal plasticity models for localized failure

Simon Rolshoven

In quasi-brittle materials such as concrete, failure is preceded by highly localized deformation patterns. Localized failure is caused by strain softening, which cannot be described by classical local models, because they lack a length scale. Mathematicall ...

EPFL2003

Minimum distance properties of coded modulations based on iterated chaotic maps

Thomas Schimming, Slobodan Kozic, Kumiko Oshima

In this paper we introduce a method for analyzing the performance of coded modulation schemes based on iterated chaotic maps. In particular, it is known from coding theory that the minimum distance plays an important role, defining the behavior of the erro ...

2003

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