Explore our latest research publications in various fields of nonlinear dynamics, control systems, and more.

Book Chapters

• Robust Heteroclinic Behaviour, Synchronization, and Ratcheting of Coupled Oscillators
  P. Ashwin, Ö. Karabacak
  Dynamics, Games and Science I, Springer, 2011

Preprint Works

• Almost global pullback attraction in non-autonomous systems
  Ö. Karabacak
  Read Paper Preprints, 2022080399, 2022

Submitted Articles

• Certification of Stability for Systems of Coupled Phase Oscillators
  M. Kudeyt, S. Tripathi, A. Gökçen, F. İlhan, S. Şahin, Ö. Karabacak
  Read Paper (Q1 in SJR), submitted

Articles in Journals

• Certification of almost global phase synchronization of all-to-all coupled phase oscillators
  M. Kudeyt, A. Kıvılcım, E. Köksal-Ersöz, F. İlhan, Ö. Karabacak
  Read Paper Chaos, Solitons and Fractals, 174(113838), 2023
• Almost global stability of nonlinear switched systems with mode-dependent and edge-dependent average dwell time
  A. Kıvılcım, Ö. Karabacak, and R. Wisniewski
  Nonlinear Analysis: Hybrid Systems, 41(101052), 2021
• Almost global stability of nonlinear switched systems with time-dependent switching
  Ö. Karabacak, A. Kıvılcım and R. Wisniewski
  IEEE Transactions on Automatic Control, 65(7), 2969-2978, 2020
• Inverse-square law between time and amplitude for crossing tipping thresholds
  P. Ritchie, Ö. Karabacak, and J. Sieber
  Proceedings of the Royal Society A: Mathematical, Physical and Engi- neering Sciences, 475(2222), 2019
• Stability of synchronized τ-periodic orbits of coupled maps with coupling delay τ
  Ö. Karabacak, B. Alikoc, F. M. Atay
  Chaos: An interdisciplinary journal of nonlinear science, 26(093101), 2016
• Graph-based minimum dwell time and average dwell time computations for discrete-time switched linear systems
  F. İlhan, Ö. Karabacak
  Asian Journal of Control, 18(6), 2018-2026, 2016
• Dwell time and average dwell time methods based on the cycle ratio of the switching graph
  Ö. Karabacak
  Systems and Control Letters, 11(62), 1032-1037, 2013
• Criteria for robustness of heteroclinic cycles in neural microcircuits
  P. Ashwin, Ö. Karabacak, T. Nowotny
  The Journal of Mathematical Neuroscience, 1(13), 1-18, 2011
• On statistical attractors and the convergence of time averages
  Ö. Karabacak, P. Ashwin
  Mathematical Proceedings of the Cambridge Philosophical Society, 150 353-365, 2011
• Heteroclinic ratchets in networks of coupled oscillators
  Ö. Karabacak, P. Ashwin
  Journal of Nonlinear Science, 20(1), 105-129, 2010
• A dwell time approach to the stability of switched linear systems based on the distance between eigenvector sets
  Ö. Karabacak, N. S. Şengor
  International Journal of Systems Science, 40(8), 845-853, 2009
• Stability of coupled map networks with delay
  F. Atay, Ö. Karabacak
  SIAM Journal on Applied Dynamical Systems, 5(3), 508-527, 2006

Articles in International Conference Proceedings

• Almost global stability of nonlinear switched system with stable and unstable subsystems
  A. Kıvılcım, Ö. Karabacak, R. Wisniewski
  IEEE Conference on Decision and Control, 2020
• Sum-of-Squares based computation of a Lyapunov function for proving stability of a satellite with electromagnetic actuation
  R. Misra, R. Wisniewski, Ö. Karabacak
  IFAC World Congress, 2020
• A sufficient condition for the almost global stability of nonlinear switched systems with average dwell time
  F. İlhan, Ö. Karabacak, R. Wisniewski
  IEEE Conference on Decision and Control, 2019
• Safe reachability verification of nonlinear switched systems via a barrier density
  A. Kıvılcım, Ö. Karabacak, R. Wisniewski
  IEEE Conference on Decision and Control, 2019
• Safety verification of nonlinear switched systems via barrier functions and barrier densities
  A. Kıvılcım, Ö. Karabacak, R. Wisniewski
  Proceedings of the 2019 European Control Conference, 2019
• Almost global finite-time stability of invariant sets
  Ö. Karabacak, A. Kıvılcım, R. Wisniewski
  57th IEEE Conference on Decision and Control, 2018
• On the almost global stability of invariant sets
  Ö. Karabacak, R. Wisniewski, J. Leth
  2018 European Control Conference, 2018
• Uni-directional synchronization and frequency difference locking induced by a heteroclinic ratchet
  Ö. Karabacak
  7th International Scientific Conference on Physics and Control, 2015
• Explicit sufficient stability conditions on dwell time of linear switched systems
  Ö. Karabacak, F. İlhan, Işıl Öner
  53rd IEEE Conference on Decision and Control, 2014
• A computational model of cortico-striato-thalamic circuits in goal-directed behaviour
  N. S. Şengor, Ö. Karabacak, U. Steinmetz
  Lecture Notes in Computer Science 5163, 328-337, International Conference on Artificial Neural Networks, 2008
• A computational model for the effect of dopamine on action selection during Stroop test
  Ö. Karabacak, N. S. Şengor
  Lecture Notes in Computer Science 4131, 485-494, International Conference on Artificial Neural Networks, 2006
• A dynamical model of a cognitive function: action selection
  Ö. Karabacak, N. S. Şengor
  IFAC World Congress, 2005

Articles in National Conference Proceedings (Turkey)

• Ters sarkaç yukarı salınım kontrol problemine dual Lyapunov tabanlı bir çözüm
  A. Gökçen, F. İlhan, M. Kudeyt, S. Şahin, Ö. Karabacak
  Türk Otomatik Kontrol Konferansı, İstanbul, 2023
• Anartarlamalı sistemlerde kararlılık: moda bağlı ortalama bekleme zamanı koşulu
  T. Erol, Ö. Karabacak
  Türk Otomatik Kontrol Konferansı, İstanbul, 2017
• Ayrık zamanlı anahtarlamalı sistemlerde kararlılık için bekleme süresi hesaplanması
  Ö. Karabacak, F. İlhan
  Türk Otomatik Kontrol Konferansı, Kocaeli, 2014
• Nöral yapılarda senkronizasyonun hücre dinamikleri üzerine etkisi
  Ö. Karabacak, R. Elibol, N. S. Şengör
  Sinyal İşleme ve İletişim Uygulamaları Kurultayı, Trabzon, 2014
• Anahtarlamalı sistemlerin kararlılığına graf teorik bir yaklaşım
  Ö. Karabacak
  Türk Otomatik Kontrol Konferansı, Malatya, 2013

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