Publications related to Persistent clusters in lattices of coupled nonidentical chaotic systems

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The size of the sync basin revisited

Philippe René Joseph Jacquod, Robin Delabays

In dynamical systems, the full stability of fixed point solutions is determined by their basins of attraction. Characterizing the structure of these basins is, in general, a complicated task, especially in high dimensionality. Recent works have advocated t ...

Amer Inst Physics2017

A methodology for the rigorous verification of Particle-in-Cell simulations

Paolo Ricci, Fabio Riva, Carrie Fiona Beadle

A methodology to perform a rigorous verification of Particle-in-Cell (PIC) simulations is presented, both for assessing the correct implementation of the model equations (code verification), and evaluating the numerical uncertainty affecting the simulation ...

American Institute of Physics2017

Geometric phases in discrete dynamical systems

Nicolas Piro Mastracchio

In order to study the behaviour of discrete dynamical systems under adiabatic cyclic variations of their parameters, we consider discrete versions of adiabatically-rotated rotators. Parallelling the studies in continuous systems, we generalize the concept ...

Elsevier Science Bv2016

Unstable Avoided Crossing in Coupled Spinor Condensates

Nathan Rafaël Bernier

We consider the dynamics of a Bose-Einstein condensate with two internal states, coupled through a coherent drive. We focus on a specific quench protocol, in which the sign of the coupling field is suddenly changed. At a mean-field level, the system is tra ...

Amer Physical Soc2014

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

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

Mechanisms of Fano Resonances in Coupled Plasmonic Systems

Olivier Martin, Andrea Lovera, Benjamin Gallinet

Fano resonances in hybridized systems formed from the interaction of bright modes only are reported. Despite precedent works, we demonstrate theoretically and experimentally that Fano resonances can be obtained by destructive interference between two brigh ...

Amer Chemical Soc2013

Dynamics of Stochastically Blinking Systems. Part II: Asymptotic Properties

Martin Hasler, Igor Belykh

We study stochastically blinking dynamical systems as in the companion paper (Part I). We analyze the asymptotic properties of the blinking system as time goes to infinity. The trajectories of the averaged and blinking system cannot stick together forever, ...

Siam Publications2013

Persistent clusters in lattices of coupled nonidentical chaotic systems

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The size of the sync basin revisited

A methodology for the rigorous verification of Particle-in-Cell simulations

Modelling of plasmonic systems

Geometric phases in discrete dynamical systems

Unstable Avoided Crossing in Coupled Spinor Condensates

Floquet theory for seasonal environmental forcing of spatially explicit waterborne epidemics

Dynamical Movement Primitives: Learning Attractor Models for Motor Behaviors

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

Mechanisms of Fano Resonances in Coupled Plasmonic Systems

Dynamics of Stochastically Blinking Systems. Part II: Asymptotic Properties

Dynamics of Stochastically Blinking Systems. Part II: Asymptotic Properties

Modelling of plasmonic systems

Unstable Avoided Crossing in Coupled Spinor Condensates

The size of the sync basin revisited

Geometric phases in discrete dynamical systems

A methodology for the rigorous verification of Particle-in-Cell simulations

Floquet theory for seasonal environmental forcing of spatially explicit waterborne epidemics

Dynamical Movement Primitives: Learning Attractor Models for Motor Behaviors

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

Mechanisms of Fano Resonances in Coupled Plasmonic Systems