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1

Piecewise-Linear Map for Studying Border Collision Phenomena in DC/AC Converters

Avrutin, Viktor, Zhusubaliyev, Zhanybai T.

Journal:

International Journal of Bifurcation and Chaos

Year:

2020

File:

PDF, 22.64 MB

2020

2

Non-observable chaos in piecewise smooth systems

Avrutin, Viktor, Zhusubaliyev, Zhanybai T., Suissa, Dan, El Aroudi, Abdelali

Journal:

Nonlinear Dynamics

Year:

2019

File:

PDF, 3.62 MB

2019

3

MULTIPLE-ATTRACTOR BIFURCATIONS AND QUASIPERIODICITY IN PIECEWISE-SMOOTH MAPS

ZHUSUBALIYEV, ZHANYBAI T., MOSEKILDE, ERIK, BANERJEE, SOUMITRO

Journal:

International Journal of Bifurcation and Chaos

Year:

2008

Language:

english

File:

PDF, 672 KB

english, 2008

4

MULTIPLE ATTRACTOR BIFURCATIONS IN A PIECEWISE-SMOOTH MAP WITH QUASIPERIODICITY

Zhusubaliyev, Zhanybai T., Soukhoterin, Evgeniy, Mosekilde, Erik, Banerjee, Soumitro

Journal:

IFAC Proceedings Volumes

Year:

2006

Language:

english

File:

PDF, 1000 KB

english, 2006

5

Non-visible transformations of chaotic attractors due to their ultra-low density in ACâDC power factor correction converters

Avrutin, Viktor, Zhusubaliyev, Zhanybai T., El Aroudi, Abdelali

Journal:

Nonlinear Dynamics

Year:

2020

File:

PDF, 6.83 MB

2020

6

Two-mode dynamics in pulse-modulated control systems

Zhanybai T. Zhusubaliyev, Olga O. Yanochkina, Erik Mosekilde, Soumitro Banerjee

Journal:

Annual Reviews in Control

Year:

2010

Language:

english

File:

PDF, 638 KB

english, 2010

7

Multilayered tori in a system of two coupled logistic maps

Zhanybai T. Zhusubaliyev, Erik Mosekilde

Journal:

Physics Letters A

Year:

2009

Language:

english

File:

PDF, 1.06 MB

english, 2009

8

Border-Collision Bifurcations on a Two-Dimensional Torus and Transitions to Chaos in a Control System with Pulse-Width Modulation

Zhusubaliyev, Zhanybai T., Soukhoterin, Evgeniy A., Mosekilde, Erik

Journal:

IFAC Proceedings Volumes

Year:

2001

Language:

english

File:

PDF, 779 KB

english, 2001

9

Transitions from phase-locked dynamics to chaos in a piecewise-linear map

Zhusubaliyev, Zhanybai T., Mosekilde, Erik, De, Soma, Banerjee, Soumitro

Journal:

Physical Review E

Year:

2008

Language:

english

File:

PDF, 815 KB

english, 2008

10

Dangerous Bifurcations Revisited

Avrutin, Viktor, Zhusubaliyev, Zhanybai T., Saha, Arindam, Banerjee, Soumitro, Sushko, Irina, Gardini, Laura

Journal:

International Journal of Bifurcation and Chaos

Year:

2016

Language:

english

File:

PDF, 1.63 MB

english, 2016

11

Phase synchronized quasiperiodicity in power electronic inverter systems

Zhusubaliyev, Zhanybai T., Mosekilde, Erik, Andriyanov, Alexey I., Shein, Vladimir V.

Journal:

Physica D: Nonlinear Phenomena

Year:

2014

Language:

english

File:

PDF, 1.66 MB

english, 2014

12

TORUS BIFURCATIONS IN MULTILEVEL CONVERTER SYSTEMS

ZHUSUBALIYEV, ZHANYBAI T., MOSEKILDE, ERIK, YANOCHKINA, OLGA O.

Journal:

International Journal of Bifurcation and Chaos

Year:

2011

Language:

english

File:

PDF, 1.08 MB

english, 2011

13

Discrete-Time Mapping for an Impulsive Goodwin Oscillator with Three Delays

Churilov, Alexander N., Medvedev, Alexander, Zhusubaliyev, Zhanybai T.

Journal:

International Journal of Bifurcation and Chaos

Year:

2017

Language:

english

File:

PDF, 529 KB

english, 2017

14

Birth of bilayered torus and torus breakdown in a piecewise-smooth dynamical system

Zhanybai T. Zhusubaliyev, Erik Mosekilde

Journal:

Physics Letters A

Year:

2006

Language:

english

File:

PDF, 696 KB

english, 2006

15

High-Feedback Operation of Power Electronic Converters

Zhusubaliyev, Zhanybai, Mosekilde, Erik, Andriyanov, Alexey, Mikhal'chenko, Gennady

Journal:

Year:

2013

Language:

english

File:

PDF, 2.70 MB

english, 2013

16

BIFURCATIONS AND CHAOTIC OSCILLATIONS IN AN AUTOMATIC CONTROL RELAY SYSTEM WITH HYSTERESIS

ZHUSUBALIYEV, ZHANYBAI T., SOUKHOTERIN, EVGENIY A., RUDAKOV, VADIM N., KOLOKOLOV, YURI V., MOSEKILDE, ERIK

Journal:

International Journal of Bifurcation and Chaos

Year:

2001

Language:

english

File:

PDF, 11.16 MB

english, 2001

17

Onset of chaos in a single-phase power electronic inverter

Avrutin, Viktor, Mosekilde, Erik, Zhusubaliyev, Zhanybai T., Gardini, Laura

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

2015

Language:

english

File:

PDF, 4.40 MB

english, 2015

18

[IEEE 2016 IEEE 55th Conference on Decision and Control (CDC) - Las Vegas, NV, USA (2016.12.12-2016.12.14)] 2016 IEEE 55th Conference on Decision and Control (CDC) - Pulse-modulated model of testosterone regulation subject to exogenous signals

Mattsson, Per, Medvedev, Alexander, Zhusubaliyev, Zhanybai T.

Year:

2016

Language:

english

File:

PDF, 411 KB

english, 2016

19

Equilibrium-torus bifurcation in nonsmooth systems

Zhanybai T. Zhusubaliyev, Erik Mosekilde

Journal:

Physica D: Nonlinear Phenomena

Year:

2008

Language:

english

File:

PDF, 1.14 MB

english, 2008

20

Border collision route to quasiperiodicity: Numerical investigation and experimental confirmation

Zhusubaliyev, Zhanybai T., Mosekilde, Erik, Maity, Somnath, Mohanan, Srijith, Banerjee, Soumitro

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

2006

Language:

english

File:

PDF, 1.24 MB

english, 2006

21

Formation and destruction of multilayered tori in coupled map systems

Zhusubaliyev, Zhanybai T., Mosekilde, Erik

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

2008

Language:

english

File:

PDF, 1.80 MB

english, 2008

22

Border collisions inside the stability domain of a fixed point

Avrutin, Viktor, Zhusubaliyev, Zhanybai T., Mosekilde, Erik

Journal:

Physica D: Nonlinear Phenomena

Year:

2016

Language:

english

File:

PDF, 6.73 MB

english, 2016

23

Novel routes to chaos through torus breakdown in non-invertible maps

Zhanybai T. Zhusubaliyev, Erik Mosekilde

Journal:

Physica D: Nonlinear Phenomena

Year:

2009

Language:

english

File:

PDF, 12.23 MB

english, 2009

24

Direct transition from a stable equilibrium to quasiperiodicity in non-smooth systems

Zhanybai T. Zhusubaliyev, Erik Mosekilde

Journal:

Physics Letters A

Year:

2008

Language:

english

File:

PDF, 1.15 MB

english, 2008

25

Multistability and hidden attractors in a multilevel DC/DC converter

Zhusubaliyev, Zhanybai T., Mosekilde, Erik

Journal:

Mathematics and Computers in Simulation

Year:

2015

Language:

english

File:

PDF, 1.28 MB

english, 2015

26

[IEEE 2013 IEEE 52nd Annual Conference on Decision and Control (CDC) - Firenze (2013.12.10-2013.12.13)] 52nd IEEE Conference on Decision and Control - Bifurcation analysis for PID-controller tuning based on a minimal neuromuscular blockade model in closed-loop anesthesia

Zhusubaliyev, Zhanybai T., Medvedev, Alexander, Silva, Margarida M.

Year:

2013

Language:

english

File:

PDF, 692 KB

english, 2013

27

[World Scientific Series on Nonlinear Science Series A] Bifurcations and Chaos in Piecewise-Smooth Dynamical Systems Volume 44 (Applications to Power Converters, Relay and Pulse-Width Modulated Control Systems, and Human Decision-Making Behavior) || ON THE DYNAMICS OF NONLINEAR SYSTEMS

Zhusubaliyev, Zhanybai T, Mosekilde, Erik

Year:

2003

Language:

english

File:

PDF, 5.00 MB

english, 2003

28

Cascades of alternating pitchfork and flip bifurcations in H-bridge inverters

Avrutin, Viktor, Zhusubaliyev, Zhanybai T., Mosekilde, Erik

Journal:

Physica D: Nonlinear Phenomena

Year:

2017

Language:

english

File:

PDF, 9.24 MB

english, 2017

29

Quasiperiodicity and torus breakdown in a power electronic dc/dc converter

Zhanybai T. Zhusubaliyev, Evgeniy Soukhoterin, Erik Mosekilde

Journal:

Mathematics and Computers in Simulation

Year:

2007

Language:

english

File:

PDF, 1.02 MB

english, 2007

30

Multistability and Torus Reconstruction in a DC–DC Converter With Multilevel Control

Zhusubaliyev, Zhanybai T., Mosekilde, Erik, Pavlova, Elena V.

Journal:

IEEE Transactions on Industrial Informatics

Year:

2013

Language:

english

File:

PDF, 1.94 MB

english, 2013

31

Oscillations-free PID control of anesthetic drug delivery in neuromuscular blockade

Medvedev, Alexander, Zhusubaliyev, Zhanybai T., Rosén, Olov, Silva, Margarida M.

Journal:

Computer Methods and Programs in Biomedicine

Year:

2016

Language:

english

File:

PDF, 2.77 MB

english, 2016

32

TRANSITION FROM A STABLE NODE EQUILIBRIUM TO QUASIPERIODICITY IN PIECEWISE-SMOOTH SYSTEMS

Zhusubaliyev, Zhanybai T., Chevychelov, Sergey, Mosekilde, Erik

Journal:

IFAC Proceedings Volumes

Year:

2007

Language:

english

File:

PDF, 239 KB

english, 2007

33

AIP Conference Proceedings [Author(s) THE EIGHTH POLYAKHOV’S READING: Proceedings of the International Scientific Conference on Mechanics - Saint Petersburg, Russia (29 January–2 February 2018)] - Persistence border collisions in a vibrating system excited by an unbalanced motor with a relay control

Zhusubaliyev, Zhanybai T., Avrutin, Viktor, Rubanov, Vasily G., Bushuev, Dmitry A., Titov, Dmitry V., Yanochkina, Olga O.

Year:

2018

Language:

english

File:

PDF, 2.71 MB

english, 2018

34

Impulsive Goodwin oscillator with large delay: Periodic oscillations, bistability, and attractors

Churilov, Alexander N., Medvedev, Alexander, Zhusubaliyev, Zhanybai T.

Journal:

Nonlinear Analysis Hybrid Systems

Year:

2016

Language:

english

File:

PDF, 1.11 MB

english, 2016

35

BORDER-COLLISION BIFURCATIONS AND CHAOTIC OSCILLATIONS IN A PIECEWISE-SMOOTH DYNAMICAL SYSTEM

ZHUSUBALIYEV, ZHANYBAI T., SOUKHOTERIN, EVGENIY A., MOSEKILDE, ERIK

Journal:

International Journal of Bifurcation and Chaos

Year:

2001

Language:

english

File:

PDF, 1021 KB

english, 2001

36

[IEEE 2014 European Control Conference (ECC) - Strasbourg, France (2014.6.24-2014.6.27)] 2014 European Control Conference (ECC) - Time delay induced multistability and complex dynamics in an impulsive model of endocrine regulation

Zhusubaliyev, Zhanybai T., Churilov, Alexander N., Medvedev, Alexander

Year:

2014

Language:

english

File:

PDF, 538 KB

english, 2014

37

[IEEE 2015 54th IEEE Conference on Decision and Control (CDC) - Osaka, Japan (2015.12.15-2015.12.18)] 2015 54th IEEE Conference on Decision and Control (CDC) - Delay-induced dynamical phenomena in impulsive Goodwin's oscillator: What we know so far

Churilov, Alexander N., Medvedev, Alexander, Zhusubaliyev, Zhanybai T.

Year:

2015

Language:

english

File:

PDF, 275 KB

english, 2015

38

From multi-layered resonance tori to period-doubled ergodic tori

Zhanybai T. Zhusubaliyev, Jakob L. Laugesen, Erik Mosekilde

Journal:

Physics Letters A

Year:

2010

Language:

english

File:

PDF, 548 KB

english, 2010

39

Multistability and hidden attractors in a relay system with hysteresis

Zhusubaliyev, Zhanybai T., Mosekilde, Erik, Rubanov, Vasily G., Nabokov, Roman A.

Journal:

Physica D: Nonlinear Phenomena

Year:

2015

Language:

english

File:

PDF, 1.08 MB

english, 2015

40

Bubbling in a power electronic inverter: Onset, development and detection

Avrutin, Viktor, Morcillo, Jose D., Zhusubaliyev, Zhanybai T., Angulo, Fabiola

Journal:

Chaos, Solitons & Fractals

Year:

2017

Language:

english

File:

PDF, 7.27 MB

english, 2017

41

[IEEE 2013 European Control Conference (ECC) - Zurich (2013.7.17-2013.7.19)] 2013 European Control Conference (ECC) - State observer for a low-order plant under intrinsic pulse-modulated feedback: A case study

Churilov, Alexander N., Medvedev, Alexander, Zhusubaliyev, Zhanybai T.

Year:

2013

Language:

english

File:

PDF, 426 KB

english, 2013

42

[IEEE 2019 IEEE 58th Conference on Decision and Control (CDC) - Nice, France (2019.12.11-2019.12.13)] 2019 IEEE 58th Conference on Decision and Control (CDC) - Nonlinear dynamics of a positive hybrid observer for the impulsive Goodwinâs oscillator: a design study

Yamalova, Diana, Medvedev, Alexander, Zhusubaliyev, Zhanybai T., Proskurnikov, Anton V.

Year:

2019

Language:

english

File:

PDF, 2.38 MB

english, 2019

43

Coexisting tori and torus bubbling in non-smooth systems

Zhanybai T. Zhusubaliyev, Olga O. Yanochkina, Erik Mosekilde

Journal:

Physica D: Nonlinear Phenomena

Year:

2011

Language:

english

File:

PDF, 1.88 MB

english, 2011

44

Bifurcation structure of the -type period-doubling transition

Jakob L. Laugesen, Erik Mosekilde, Zhanybai T. Zhusubaliyev

Journal:

Physica D: Nonlinear Phenomena

Year:

2012

Language:

english

File:

PDF, 1.02 MB

english, 2012

45

Torus-Bifurcation Mechanisms in a DC/DC Converter With Pulsewidth-Modulated Control

Zhusubaliyev, Zhanybai T., Mosekilde, Erik, Yanochkina, Olga O.

Journal:

IEEE Transactions on Power Electronics

Year:

2011

Language:

english

File:

PDF, 978 KB

english, 2011

46

Conditional Stability of a State Observer for a Low-order Hybrid Plant

Churilov, Alexander N., Medvedev, Alexander, Zhusubaliyev, Zhanybai T.

Journal:

IFAC Proceedings Volumes

Year:

2013

Language:

english

File:

PDF, 605 KB

english, 2013

47

Bifurcation analysis of the Henon map

Mosekilde, Erik, Zhusubaliyev, Zhanybai T., Rudakov, Vadim N., Soukhterin, Evgeniy A.

Journal:

Discrete Dynamics in Nature and Society

Year:

2000

Language:

english

File:

PDF, 6.18 MB

english, 2000

48

[IEEE 2011 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC 2011) - Orlando, FL, USA (2011.12.12-2011.12.15)] IEEE Conference on Decision and Control and European Control Conference - Complex dynamic phenomena in a low-order model of non-basal testosterone regulation

Zhusubaliyev, Zhanybai T., Churilov, Alexander N., Medvedev, Alexander

Year:

2011

Language:

english

File:

PDF, 790 KB

english, 2011

49

On the structure of phase synchronized chaos

Mosekilde, Erik, Zhusubaliyev, Zhanybai T., Laugesen, Jakob L., Yanochkina, Olga O.

Journal:

Chaos, Solitons & Fractals

Year:

2013

Language:

english

File:

PDF, 1.25 MB

english, 2013

50

[IEEE 2006 IEEE International Conference on Industrial Technology - Mumbai, India (2006.12.15-2006.12.17)] 2006 IEEE International Conference on Industrial Technology - Border-Collision Bifurcations in a DC/DC Converter with Multilevel Pulse-Width Modulation

Zhusubaliyev, Zhanybai T., Mosekilde, Erik

Year:

2006

Language:

english

File:

PDF, 3.84 MB

english, 2006

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