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Max-Olivier Hongler

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Publications associées (45)

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Mean-Field Games And Swarms Dynamics In Gaussian And Non-Gaussian Environments

Max-Olivier Hongler

The collective behaviour of stochastic multi-agents swarms driven by Gaussian and non-Gaussian environments is analytically discussed in a mean-field approach. We first exogenously implement long range mutual interactions rules with strengths that are weig ...

AMER INST MATHEMATICAL SCIENCES-AIMS2020

Circulation of Autonomous Agents in Production and Service Networks

Max-Olivier Hongler, Olivier Gallay

The inherent complexity characterizing the production and/or service networks strongly favors decentralized and self-organizing mechanisms to regulate the flows of matter and information in circulation. This basic observation motivates us to study the flow ...

Elsevier2009

Intearcting Brownian Swarms: Some Analytical Results

Max-Olivier Hongler, Guillaume Adrien Sartoretti

We consider the dynamics of swarms of scalar Brownian agents subject to local imitation mechanisms implemented using mutual rank-based interactions. For appropriate values of the underlying control parameters, the swarm propagates tightly and the distances ...

MDPI AG2016

Can one hear the shape of a target zone?

Max-Olivier Hongler

We develop an exchange rate target zone model with finite exit time and non-Gaussian tails. We show how the tails are a consequence of time-varying investor risk aversion, which generates mean-preserving spreads in the fundamental distribution. We solve ex ...

2023

Femtosecond-laser generation of self-organized bubble patterns in fused silica

Yves Bellouard, Max-Olivier Hongler

By continuously scanning a femtosecond laser beam across a fused silica specimen, we demonstrate the formation of self-organized bubbles buried in the material. Rather than using high intensity pulses and high numerical aperture to induce explosions in the ...

Optical Society of America2011

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 Mixed Canonic-Dissipative Systems and Dynamic Hebbian Learning

Max-Olivier Hongler, Julio Rodriguez

We consider a collection {O_k}_{k=1}^N of interacting parametric mixed canonical-dissipative systems, (MCD). Each individual Ok, exhibits, in absence of interaction, a limit cycle L_k on which the orbit circulation is parameterized by w_k(t). The underlyin ...

Shaker Verlag2008

Brownian Swarm Dynamics and Burgers’ Equation with Higher Order Dispersion

Max-Olivier Hongler

he concept of ranked order probability distribution unveils natural probabilistic interpretations for the kink waves (and hence the solitons) solving higher order dispersive Burgers’ type PDEs. Thanks to this underlying structure, it is possible to propose ...

2020

On Jump-Diffusive Driving Noise Sources: Some Explicit Results and Applications

Max-Olivier Hongler, Roger Filliger

We study some linear and nonlinear shot noise models where the jumps are drawn from a compound Poisson process with jump sizes following an Erlang-m distribution. We show that the associated Master equation can be written as a spatial mth order partial dif ...

Springer2019

Hyperbolic angular statistics for globally coupled oscillators

Max-Olivier Hongler, Roger Filliger, Philippe Blanchard

We analytically discuss a multiplicative noise generalization of the Kuramoto- Sakaguchi dynamics for an assembly of globally coupled phase oscillators. In the mean-ﬁeld limit, the resulting class of invariant measures coincides with a generalized, two-par ...

IOP Publishing - EPL Association2010

Decentralized Self-Selection of Swarm Trajectories: From Dynamical Systems to Robotic Implementation

Francesco Mondada, Max-Olivier Hongler, Guillaume Adrien Sartoretti, Marcelo Elias de Oliveira

In this paper, we present a distributed control strategy, enabling agents to converge onto and travel along a consensually selected curve among a class of closed planar curves. Individual agents identify the number of neighbors within a finite circular sen ...

Springer Verlag2014

Stochastic pairwise preference convergence in Bayesian agents

Max-Olivier Hongler

Beliefs inform the behaviour of forward-thinking agents in complex environments. Recently, sequential Bayesian inference has emerged as a mechanism to study belief formation among agents adapting to dynamical conditions. However, we lack critical theory to ...

2024

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

Exact soliton-like probability measures for interacting jump processes

Max-Olivier Hongler

The cooperative dynamics of a 1-D collection of Markov jump, interacting stochastic processes is studied via a mean-field (MF) approach. In the time-asymptotic regime, the resulting nonlinear master equation is analytically solved. The nonlinearity compens ...

2015

Spatio-Temporal Patterns for a Generalized Innovation Diffusion Model

Fariba Hashemi, Max-Olivier Hongler, Olivier Gallay

We construct a model of innovation diffusion that incorporates a spatial component into a classical imitation-innovation dynamics first introduced by F. Bass. Relevant for situations where the imitation process explicitly depends on the spatial proximity b ...

2012

Multi-Agent Adaptive Mechanism Leading to Optimal Real-Time Load Sharing

Max-Olivier Hongler, Olivier Gallay

We propose a new real-time load sharing policy (LSP), which optimally dispatches the incoming workload according to the current availability of the operators. Optimality means here that the global service permanently requires the engagement of a minimum nu ...

2009

Cauchy Processes, Dissipative Benjamin–Ono Dynamics and Fat-Tail Decaying Solitons

Max-Olivier Hongler

In this paper, a dissipative version of the Benjamin–Ono dynamics is shown to faithfully model the collective evolution of swarms of scalar Cauchy stochastic agents obeying a follow-the-leader interaction rule. Due to the Hilbert transform, the swarm dynam ...

2021

Cooperative Dynamics of Loyal Customers in Queueing Networks

Max-Olivier Hongler, Olivier Gallay

We consider queueing networks (QN) with feedback loops roamed by ``intelligent'' agents, able to select their routing on the basis of their measured waiting times at the QN nodes. This is an idealized model to discuss the dynamics of customers who stay loy ...

2008

Time-Delayed Interactions in Networks of Self-Adapting Hopf Oscillators

Max-Olivier Hongler, Julio Rodriguez, Philippe Blanchard

A network of coupled limit cycle oscillators with delayed interactions is considered. The parameters characterizing the oscillator’s frequency and limit cycle are allowed to self-adapt. Adaptation is due to time-delayed state variables thatmutually interac ...

2013

Nonlinear Economic State Equilibria via van der Waals Modeling

Max-Olivier Hongler

The renowned van der Waals (VDW) state equation quantifies the equilibrium relationship between the pressure P, volume V, and temperature (Formula presented.) of a real gas. We assign new variable interpretations adapted to the economic context: (Formula p ...

2024