Publications related to Learning dynamical systems with bifurcations

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Floquet theory for seasonal environmental forcing of spatially explicit waterborne epidemics

Andrea Rinaldo, Enrico Bertuzzo, Lorenzo Mari, Marino Gatto

The transmission of waterborne pathogens is a complex process that is heavily linked to the spatial characteristics of the underlying environmental matrix as well as to the temporal variability of the relevant hydroclimatological drivers. In this work, we ...

Springer Heidelberg2014

Secondary instability and tertiary states in rotating plane Couette flow

Tobias Schneider

Recent experimental studies have shown rich transition behaviour in rotating plane Couette flow (RPCF). In this paper we study the transition in supercritical RPCF theoretically by determination of equilibrium and periodic orbit tertiary states via Floquet ...

Cambridge University Press2014

Dynamical Movement Primitives: Learning Attractor Models for Motor Behaviors

Auke Ijspeert

Nonlinear dynamical systems have been used in many disciplines to model complex behaviors, including biological motor control, robotics, perception, economics, traffic prediction, and neuroscience. While often the unexpected emergent behavior of nonlinear ...

Massachusetts Institute of Technology Press2013

A General Family of Morphed Nonlinear Phase Oscillators with Arbitrary Limit Cycle Shape

Auke Ijspeert, Mostafa Ajallooeian, Jesse van den Kieboom

We present a general family of nonlinear phase oscillators which can exhibit arbitrary limit cycle shapes and infinitely large basins of attraction. This general family is the superset of familiar control methods like PD-control over a periodic reference, ...

Elsevier Science Bv2013

Odd linking and bifurcation in gaps: the weakly indefinite case

In this paper, we consider nonlinear Schrodinger equations of the following type: -Delta u(x) + V (x) u(x) -q(x)|u(x)|sigma u(x) =lambda u(x), x is an element of R-N, u is an element of H-1(R-N) \ {0}, where N >= 2 and sigma > 0. We concentrate on situatio ...

Royal Society of Edinburgh Scotland Foundation, Cambridge2013

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

Augmented-SVM: Automatic space partitioning for combining multiple non-linear dynamics

Ashwini Shukla

Non-linear dynamical systems (DS) have been used extensively for building generative models of human behavior. Their applications range from modeling brain dynamics to encoding motor commands. Many schemes have been proposed for encoding robot motions usin ...

Curran Associates, Inc.2012

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

Learning dynamical systems with bifurcations

Graph Chatbot

Chat with Graph Search

Fiber connectivity and bifurcation diagrams of almost toric integrable systems

Floquet theory for seasonal environmental forcing of spatially explicit waterborne epidemics

Secondary instability and tertiary states in rotating plane Couette flow

Dynamical Movement Primitives: Learning Attractor Models for Motor Behaviors

A General Family of Morphed Nonlinear Phase Oscillators with Arbitrary Limit Cycle Shape

Odd linking and bifurcation in gaps: the weakly indefinite case

Networks of Self-Adaptive Dynamical Systems

Augmented-SVM: Automatic space partitioning for combining multiple non-linear dynamics

A Dynamical System Approach to Realtime Obstacle Avoidance

Periodic orbits near onset of chaos in plane Couette flow

Fiber connectivity and bifurcation diagrams of almost toric integrable systems

Secondary instability and tertiary states in rotating plane Couette flow

Dynamical Movement Primitives: Learning Attractor Models for Motor Behaviors

A General Family of Morphed Nonlinear Phase Oscillators with Arbitrary Limit Cycle Shape

Odd linking and bifurcation in gaps: the weakly indefinite case

Augmented-SVM: Automatic space partitioning for combining multiple non-linear dynamics

Periodic orbits near onset of chaos in plane Couette flow

Floquet theory for seasonal environmental forcing of spatially explicit waterborne epidemics

A Dynamical System Approach to Realtime Obstacle Avoidance

Networks of Self-Adaptive Dynamical Systems