Explanipedia

Observing hidden neuronal states in experiments Open

Dmitry V. Amakhin, Anton V. Chizhov, Mathieu Desroches, Jan Sieber, Serafim Rodrigues · 2025

In this article we demonstrate a general protocol for constructing systematically experimental steady-state bifurcation diagrams for electrophysiologically active cells. We perform our experiments on entorhinal cortex neurons, both excitat…

Boundary-Value Problems of Functional Differential Equations with State-Dependent Delays Open

Alessia Andò, Jan Sieber · 2025

ALPHA–DELTA TRANSITIONS IN CORTICAL RHYTHMS AS GRAZING BIFURCATIONS Open

Hiba Mahdi, Jan Sieber, Krasimira Tsaneva‐Atanasova · 2025

The Jansen–Rit model of a cortical column in the cerebral cortex is widely used to simulate spontaneous brain activity (electroencephalogram, EEG) and event-related potentials. It couples a pyramidal cell population with two interneuron po…

Alpha-Delta Transitions in Cortical Rhythms as grazing bifurcations Open

Hiba Mahdi, Jan Sieber, Krasimira Tsaneva‐Atanasova · 2024

The Jansen-Rit model of a cortical column in the cerebral cortex is widely used to simulate spontaneous brain activity (EEG) and event-related potentials. It couples a pyramidal cell population with two interneuron populations, of which on…

Computational Bifurcation Analysis Open

Harry Dankowicz, Jan Sieber · 2024

Bifurcation analysis collects techniques for characterizing the dependence of certain classes of solutions of a dynamical system on variations in problem parameters. Common solution classes of interest include equilibria and periodic orbit…

Boundary-value problems of functional differential equations with state-dependent delays Open

Alessia Ando', Jan Sieber · 2024

We prove convergence of piecewise polynomial collocation methods applied to periodic boundary value problems for functional differential equations with state-dependent delays. The state dependence of the delays leads to nonlinearities that…

Generic stabilizability for time-delayed feedback control (Supplementary material) Open

Jan Sieber · 2024

Supplementary material and supporting code for the paperSieber J. 2016 Generic stabilizability for time-delayed feedbackcontrol. Proc. R. Soc. A 20150593.http://dx.doi.org/10.1098/rspa.2015.0593arxiv preprint at http://arxiv.org/abs/1508.0…

Emergent structure and dynamics of tropical forest-grassland landscapes Open

Bert Wuyts, Jan Sieber · 2023

Previous work indicates that tropical forest can exist as an alternative stable state to savanna. Therefore, perturbation by climate change or human impact may lead to crossing of a tipping point beyond which there is rapid forest dieback …

Observing hidden neuronal states in experiments Open

Dmitry Amakhin, Anton V. Chizhov, Guillaume Girier, Mathieu Desroches, Jan Sieber , et al. · 2023

In this article we demonstrate a general protocol for constructing systematically experimental steady-state bifurcation diagrams for electrophysiologically active cells. We perform our experiments on entorhinal cortex neurons, both excitat…

Time Series Analysis and Modeling of the Freezing of Gait Phenomenon Open

Wang Ai, Jan Sieber, W. R. Young, Krasimira Tsaneva‐Atanasova · 2023

This is the author accepted manuscript. The final version is available from the Society for Industrial and Applied Mathematics via the DOI in this record

Numerical analysis of a multistable capsule system under the delayed feedback control with a constant delay Open

Zhi Zhang, Joseph Páez Chávez, Jan Sieber, Yang Liu · 2023

This is the author accepted manuscript. The final version is available on open access from Elsevier via the DOI in this record

Emergent structure, dynamics and abrupt transitions in a cellular automaton of tropical forest and fire Open

Bert Wuyts, Jan Sieber · 2023

It is thought that tropical forests can exist as an alternative stable state to savanna. Therefore, perturbation by climate change or human impact may lead to crossing of a tipping point beyond which there is rapid large-scale forest dieba…

Numerical analysis of a multistable capsule system under the delayed feedback control with a constant delay Open

Zhi Zhang, Joseph Páez Chávez, Jan Sieber, Yang Liu · 2023

The vibro-impact capsule system is a self-propelled mechanism that has abundant coexisting attractors and moves rectilinearly under periodic excitation when overcoming environmental resistance. In this paper, we study the control of coexis…

Foreword to the special issue on new developments in structural stability Open

Simos Gerasimidis, John W. Hutchinson, Jan Sieber, J. M. T. Thompson · 2023

Open AccessMoreSectionsView PDF ToolsAdd to favoritesDownload CitationsTrack Citations ShareShare onFacebookTwitterLinked InRedditEmail Cite this article Gerasimidis S., Hutchinson J. W., Sieber J. and Thompson J. M. T. 2023Foreword to the…

Continuation with Noninvasive Control Schemes: Revealing Unstable States in a Pedestrian Evacuation Scenario Open

Ilias Panagiotopoulos, Jens Starke, Jan Sieber, Wolfram Just · 2023

This is the author accepted manuscript. The final version is available from the Society for Industrial and Applied Mathematics via the DOI in this record

Emergent structure and dynamics of tropical forest-grassland landscapes Open

Bert Wuyts, Jan Sieber · 2022

Previous work indicates that tropical forest can exist as an alternative stable state to savanna. Therefore, perturbation by climate change or human impact may lead to crossing of a tipping point beyond which there is rapid forest dieback …

Time series analysis and modelling of the freezing of gait phenomenon Open

Wang Ai, Jan Sieber, W. R. Young, Krasimira Tsaneva‐Atanasova · 2022

Freezing of Gait (FOG) is one of the most debilitating symptoms of Parkinson's Disease and is associated with falls and loss of independence. The patho-physiological mechanisms underpinning FOG are currently poorly understood. In this pape…

Continuation with Non-invasive Control Schemes: Revealing Unstable States in a Pedestrian Evacuation Scenario Open

Ilias Panagiotopoulos, Jens Starke, Jan Sieber, Wolfram Just · 2022

This paper presents a framework to perform bifurcation analysis in laboratory experiments or simulations. We employ control-based continuation to study the dynamics of a macroscopic variable of a microscopically defined model, exploring th…

Methods of continuation and their implementation in the COCO software platform with application to delay differential equations Open

Zaid Ahsan, Harry Dankowicz, Mingwu Li, Jan Sieber · 2022

Nonlinear effects of instantaneous and delayed state dependence in a delayed feedback loop Open

A. R. Humphries, Bernd Krauskopf, Stefan Ruschel, Jan Sieber · 2022

We study a scalar, first-order delay differential equation (DDE) with instantaneous and state-dependent delayed feedback, which itself may be delayed. The state dependence introduces nonlinearity into an otherwise linear system. We investi…

Sensitivity analysis for periodic orbits and quasiperiodic invariant tori using the adjoint method Open

Harry Dankowicz, Jan Sieber · 2022

This paper presents a rigorous framework for the continuation of solutions to nonlinear constraints and the simultaneous analysis of the sensitivities of test functions to constraint violations at each solution point using an adjoint-based…

Controlling coexisting attractors of a class of non-autonomous dynamical systems Open

Zhang Zhi, Joseph Páez Chávez, Jan Sieber, Yang Liu · 2021

Mean-field models of dynamics on networks via moment closure: an automated procedure Open

Bert Wuyts, Jan Sieber · 2021

In the study of dynamics on networks, moment closure is a commonly used method to obtain low-dimensional evolution equations amenable to analysis. The variables in the evolution equations are mean counts of subgraph states and are referred…

Interplay between instantaneous and delayed feedback with delayed state dependence Open

A. R. Humphries, Bernd Krauskopf, Stefan Ruschel, Jan Sieber · 2021

We study a scalar, first-order delay differential equation (DDE) with instantaneous and state-dependent delayed feedback, which itself may be delayed. The state dependence introduces nonlinearity into an otherwise linear system. We investi…

Controlling grazing-induced multistability in a piecewise-smooth impacting system via the time-delayed feedback control Open

Zhi Zhang, Joseph Páez Chávez, Jan Sieber, Yang Liu · 2021

Grazing events may create coexisting attractors and cause complex dynamics in piecewise-smooth dynamical systems. This paper studies the control of grazing-induced multistability in a soft impacting oscillator by using the time-delayed fee…

Code for Figures from A delay equation model for the Atlantic Multidecadal Oscillation Open

Swinda K. J. Falkena, Courtney Quinn, Jan Sieber, Henk A. Dijkstra · 2021

The codes that have been used to produce the Figures in the paper.

Bifurcation Analysis of Systems with Delays: Methods and Their Use in Applications Open

Bernd Krauskopf, Jan Sieber · 2020

This chapter presents a dynamical systems point of view of the study of systems with delays. The focus is on how advanced tools from bifurcation theory, as implemented for example in the package DDE-BIFTOOL, can be applied to the study of …

Calculating the Lyapunov exponents of a piecewise-smooth soft impacting system with a time-delayed feedback controller Open

Zhi Zhang, Yang Liu, Jan Sieber · 2020

How fast to turn around: preventing tipping after a system has crossed a climate tipping threshold Open

Paul Ritchie, Peter M. Cox, Jan Sieber · 2020

<p>A classical scenario for tipping is that a dynamical system experiences a slow parameter drift across a fold tipping point, caused by a run-away positive<br>feedback loop. We study what happens if one turns around after one …

Correction to: Optimization along families of periodic and quasiperiodic orbits in dynamical systems with delay Open

Zaid Ahsan, Harry Dankowicz, Jan Sieber · 2020

The licence type in the original article was incorrect and should be CC BY and not CC BY NC.

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