Alpha-Delta Transitions in Cortical Rhythms as grazing bifurcations

Authors: Mahdi, Huda, Sieber, Jan, Tsaneva-Atanasova, Krasimira

Subject Terms: Mathematics - Dynamical Systems

Access URL: http://arxiv.org/abs/2411.16449

Computational Bifurcation Analysis

Authors: Dankowicz, Harry, Sieber, Jan

Subject Terms: Mathematics - Dynamical Systems

Access URL: http://arxiv.org/abs/2411.00735

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

Authors: Ando', Alessia, Sieber, Jan

Subject Terms: Mathematics - Numerical Analysis, 65L03, 65L10, 65L20, 65L60

Access URL: http://arxiv.org/abs/2410.07375

Observing hidden neuronal states in experiments

Authors: Amakhin, Dmitry, Chizhov, Anton, Girier, Guillaume, Desroches, Mathieu, Sieber, Jan, Rodrigues, Serafim

Subject Terms: Quantitative Biology - Neurons and Cognition, Mathematics - Dynamical Systems

Access URL: http://arxiv.org/abs/2308.15477

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

Authors: Zhang, Zhi, Chávez, Joseph Páez, Sieber, Jan, Liu, Yang

Subject Terms: Electrical Engineering and Systems Science - Systems and Control

Access URL: http://arxiv.org/abs/2302.08543

Emergent structure and dynamics of tropical forest-grassland landscapes

Authors: Wuyts, Bert, Sieber, Jan

Subject Terms: Quantitative Biology - Populations and Evolution, Nonlinear Sciences - Cellular Automata and Lattice Gases

Access URL: http://arxiv.org/abs/2207.14118

Time series analysis and modelling of the freezing of gait phenomenon

Authors: Wang, Ai, Sieber, Jan, Young, William R., Tsaneva-Atanasova, Krasimira

Subject Terms: Mathematics - Dynamical Systems, 65C20, 37M10, 60J10, 34C15, 37A30

Access URL: http://arxiv.org/abs/2203.08724

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

Authors: Panagiotopoulos, Ilias, Starke, Jens, Sieber, Jan, Just, Wolfram

Subject Terms: Mathematics - Dynamical Systems, 68Q25, 68R10, 68U05

Access URL: http://arxiv.org/abs/2203.02484

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

Authors: Zhang, Zhi, Chávez, Joseph Páez, Sieber, Jan, Liu, Yang

Source: Physica D 431, 133134 (16 pages), 2022

Subject Terms: Mathematics - Dynamical Systems

Access URL: http://arxiv.org/abs/2112.09449

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

Authors: Wuyts, Bert, Sieber, Jan

Subject Terms: Mathematics - Dynamical Systems

Access URL: http://arxiv.org/abs/2111.07643

Sensitivity Analysis for Periodic Orbits and Quasiperiodic Invariant Tori Using the Adjoint Method

Authors: Dankowicz, Harry, Sieber, Jan

Source: Journal of Computational Dynamics, 2022, 9(3): 329-369

Subject Terms: Mathematics - Dynamical Systems, 37C55, 37M21, 49K40, 37E10, 37E45

Access URL: http://arxiv.org/abs/2111.02122

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

Authors: Humphries, Antony R., Krauskopf, Bernd, Ruschel, Stefan, Sieber, Jan

Subject Terms: Mathematics - Dynamical Systems, 34K43, 34K18, 34K17, 37M20

Access URL: http://arxiv.org/abs/2110.01850

Methods of Continuation and their Implementation in the COCO Software Platform with Application to Delay Differential Equations

Authors: Ahsan, Zaid, Dankowicz, Harry, Li, Mingwu, Sieber, Jan

Subject Terms: Mathematics - Dynamical Systems

Access URL: http://arxiv.org/abs/2104.12261

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

Authors: Krauskopf, Bernd, Sieber, Jan

Subject Terms: Mathematics - Dynamical Systems

Access URL: http://arxiv.org/abs/2009.10860

A Delay Equation Model for the Atlantic Multidecadal Oscillation

Authors: Falkena, Swinda K. J., Quinn, Courtney, Sieber, Jan, Dijkstra, Henk A.

Subject Terms: Mathematics - Dynamical Systems, Physics - Atmospheric and Oceanic Physics

Access URL: http://arxiv.org/abs/2008.07219

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

Authors: Krauskopf, Bernd, Sieber, Jan

Source: Courses and lectures. 604:195-246

Availability: http://explore.bl.uk/primo_library/libweb/action/display.do?tabs=detailsTab&gathStatTab=true&ct=display&fn=search&doc=ETOCRN633256297&indx=1&recIds=ETOCRN633256297

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

Authors: Zhang, Zhi, Liu, Yang, Sieber, Jan

Subject Terms: Nonlinear Sciences - Chaotic Dynamics

Access URL: http://arxiv.org/abs/2003.00279

Derivation of Delay Equation Climate Models Using the Mori-Zwanzig Formalism

Authors: Falkena, Swinda K. J., Quinn, Courtney, Sieber, Jan, Frank, Jason, Dijkstra, Henk A.

Subject Terms: Mathematics - Dynamical Systems, Physics - Atmospheric and Oceanic Physics

Access URL: http://arxiv.org/abs/1902.03198

Optimization along Families of Periodic and Quasiperiodic Orbits in Dynamical Systems with Delay

Authors: Ahsan, Zaid, Dankowicz, Harry, Sieber, Jan

Subject Terms: Mathematics - Dynamical Systems

Access URL: http://arxiv.org/abs/1901.09121

Temporal dissipative solitons in time-delay feedback systems

Authors: Yanchuk, Serhiy, Ruschel, Stefan, Sieber, Jan, Wolfrum, Matthias

Source: Phys. Rev. Lett. 123, 053901 (2019)

Subject Terms: Nonlinear Sciences - Pattern Formation and Solitons, Mathematics - Dynamical Systems

Access URL: http://arxiv.org/abs/1901.03524