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Martin Hasler

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Related publications (53)

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Multistability of twisted states in non-locally coupled Kuramoto-type models

Martin Hasler

A ring of N identical phase oscillators with interactions between L-nearest neighbors is considered, where L ranges from 1 (local coupling) to N/2 (global coupling). The coupling function is a simple sinusoid, as in the Kuramoto model, but with a minus sig ...

American Institute of Physics2012

Synchronization in asymmetrically coupled networks with node balance

Martin Hasler, Igor Belykh

We study global stability of synchronization in asymmetrically connected networks of limit-cycle or chaotic oscillators. We extend the connection graph stability method to directed graphs with node balance, the property that all nodes in the network have e ...

American Institute of Physics2006

Nonlinear Average Consensus

Martin Hasler, Leonidas Georgopoulos

We present an algorithm for nonlinear consensus in complex networks. Our motivation draws from analysis on the algorithm based on a weighted linear update protocol. Comparison of the asymptotic with early convergence rate encourages an alternative algorith ...

IEICE2009

Network community-detection enhancement by proper weighting

Martin Hasler, Ali Ajdari Rad, Alireza Khadivi

In this article, we show how proper assignment of weights to the edges of a complex network can enhance the detection of communities and how it can circumvent the resolution limit and the extreme degeneracy problems associated with modularity. Our general ...

American Physical Society2011

Synchronization in complex networks with blinking interactions

Martin Hasler, Igor Belykh

We propose a new model of small-world networks of cells with a time-varying coupling and study its synchronization properties. In each time interval of length /spl tau/ such a coupling is switched on with probability p and the corresponding switching rando ...

IEEE2005

Turbo-Like Structures for Chaos Encoding and Decoding

Martin Hasler, Slobodan Kozic

In this paper, we explain how to build a turbo-like structure with binary inputs and chaotic outputs for efficient coding and decoding in additive white Gaussian noise (AWGN). We analyze the convergence of the decoding algorithm, the performance in the err ...

2009

Predicting single spikes and spike patterns with the Hindmarsh–Rose model

Martin Hasler

Most simple neuron models are only able to model traditional spiking behavior. As physiologists discover and classify different electrical phenotypes, computational neuroscientists become interested in using simple phenomenological models that can exhibit ...

Springer-Verlag2008

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

'Glocal' Robustness Analysis and Model Discrimination for Circadian Oscillators

Martin Hasler, Marc Hafner

To characterize the behavior and robustness of cellular circuits with many unknown parameters is a major challenge for systems biology. Its difficulty rises exponentially with the number of circuit components. We here propose a novel analysis method to mee ...

2009

Synchronization of Bursting Neurons: What Matters in the Network Topology

Martin Hasler, Igor Belykh

We study the influence of coupling strength and network topology on synchronization behavior in pulse-coupled networks of bursting Hindmarsh-Rose neurons. Surprisingly, we find that the stability of the completely synchronous state in such networks only de ...

2005

Enhancing synchronizability of weighted dynamical networks using betweenness centrality

Martin Hasler, Mahdi Jalili, Ali Ajdari Rad

By considering the eigenratio of the Laplacian of the connection graph as a synchronizability measure, we propose a procedure for weighting dynamical networks to enhance their synchronizability. The method is based on node and edge betweenness centrality m ...

2008

A lower bound for algebraic connectivity based on the connection-graph-stability method

Martin Hasler, Mahdi Jalili, Ali Ajdari Rad

This paper introduces the connection-graph-stability method and uses it to establish a new lower bound on the algebraic connectivity of graphs (the second smallest eigenvalue of the Laplacian matrix of the graph) that is sharper than the previously publish ...

Elsevier2011

Automatic Methods for Motor Intention Recognition from Spike Rates

Martin Hasler

In this paper we present a method for automatic detection of motor intention from in vivo neuronal recordings in monkeys. The analysis relies on a data base of spike trains collected in a series of experiments aiming to study the hand-eye coordination mech ...

2007

Fire Detection and Localization Using Wireless Sensor Networks

Martin Hasler, Alireza Khadivi

A Wireless Sensor Network (WSN) is a network of usually a large number of small sensor nodes that are wirelessly connected to each other in order to remotely monitor an environment or phenomena. Sensor nodes use the data aggregation method as an effective ...

Springer, 233 Spring Street, New York, Ny 10013, United States2010

Stochasticity of probabilistic systems: Analysis methodologies case-study

Karl Aberer, Martin Hasler

We do a case study of two different analysis techniques for studying the stochastic behavior of a randomized system/algorithms: (i) The first approach can be broadly termed as a mean value analysis (MVA), where the evolution of the mean state is studied as ...

2005

State Change Detection Using Multivariate Synchronization Measure from Physiological Signals

Martin Hasler, Cristian Carmeli

The cardiovascular system can be macro-modelled as a collection of coupled oscillators. Recently, the use of mutual couplings of these oscillators to characterize the state of the system during anaesthesia has been proposed. Assuming that the synchronizati ...

2006

Forest fire localization using distributed algorithms in wireless sensor networks

Martin Hasler, Alireza Khadivi, Leonidas Georgopoulos

The fire localization using a distributed consensus finding algorithm in a wireless sensor network is described. The fire is circumscribed by a circle. The information is available at all sensor nodes that are alive, which makes it robust against failures ...

Electromagnetics Acad, 777 Concord Avenue, Ste 207, Cambridge, Ma 02138 Usa2009

Graph-based criteria for synchronization of diffusively coupled oscillators

Martin Hasler, Igor Belykh

We extend the connection graph stability method for complete synchronization, originally developed for symmetrically coupled networks, to the asymmetrical case. First, we study synchronization in asymmetrically connected networks with node balance, the pro ...

2006

Classes of stochastically switched (blinking) systems

Martin Hasler, Igor Belykh

It is investigated to what extent the trajectories of a stochastically switched (blinking) system follow the corresponding trajectories of the averaged system. Four cases have to be distinguished, depending on whether or not the averaged system has a uniqu ...

2007

Enhancing synchronizability of dynamical networks using the connection graph stability method

Martin Hasler, Mahdi Jalili, Ali Ajdari Rad

Dynamical networks with diffusive couplings are investigated from the point of view of synchronizability. Arbitrary connection graphs are admitted but the coupling is symmetric. Networks with equal interaction coefficients for all edges of the interaction ...

2007