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1

Two-dimensional maps at the edge of chaos: Numerical results for the Henon map

Journal:

Physical Review E

Year:

2002

Language:

english

File:

PDF, 167 KB

english, 2002

2

Tsallis versus Renyi entropic form for systems with q-exponential behaviour: the case of dissipative maps

Ramandeep S. Johal, Ugur Tirnakli

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2004

Language:

english

File:

PDF, 228 KB

english, 2004

3

Critical dynamics of anisotropic Bak–Sneppen model

Ugur Tirnakli, Marcelo L. Lyra

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2004

Language:

english

File:

PDF, 299 KB

english, 2004

4

Short-time dynamics of isotropic and anisotropic Bak–Sneppen model: extensive simulation results

Ugur Tirnakli, Marcelo L. Lyra

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2004

Language:

english

File:

PDF, 1.24 MB

english, 2004

5

Sensitivity function and entropy increase rates for z-logistic map family at the edge of chaos

Ahmet Celikoglu, Ugur Tirnakli

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2006

Language:

english

File:

PDF, 173 KB

english, 2006

6

Convergence dynamics of the Bak–Sneppen model: Activity rate and waiting time distribution

Ugur Tirnakli, Marcelo L. Lyra

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2007

Language:

english

File:

PDF, 298 KB

english, 2007

7

Return distributions in dog-flea model revisited

Burhan Bakar, Ugur Tirnakli

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2010

Language:

english

File:

PDF, 1.42 MB

english, 2010

8

Generalized entropic structures and non-generality of Jaynes’ Formalism

Thomas Oikonomou, Ugur Tirnakli

Journal:

Chaos, Solitons & Fractals

Year:

2009

Language:

english

File:

PDF, 337 KB

english, 2009

9

Two-dimensional dissipative maps at chaos threshold: sensitivity to initial conditions and relaxation dynamics

Ernesto P Borges, Ugur Tirnakli

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2004

Language:

english

File:

PDF, 1.55 MB

english, 2004

10

Some bounds upon the nonextensivity parameter using the approximate generalized distribution functions

Uǧur Tirnakli, Fevzi Büyükkiliç, Doǧan Demirhan

Journal:

Physics Letters A

Year:

1998

Language:

english

File:

PDF, 471 KB

english, 1998

11

Generalized distribution functions and an alternative approach to generalized Planck radiation law

Uǧur Tirnakli, Fevzi Büyükkiliç, Doǧan Demirhan

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

1997

Language:

english

File:

PDF, 353 KB

english, 1997

12

Generalized quantal distribution functions within factorization approach: some general results for bosons and fermions

Diego F. Torres, Uǧur Tırnaklı

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

1998

Language:

english

File:

PDF, 111 KB

english, 1998

13

Quantal distribution functions in non-extensive statistics and an early universe test revisited

Uǧur Tırnaklı, Diego F Torres

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

1999

Language:

english

File:

PDF, 65 KB

english, 1999

14

The effect of nonextensivity on the time development of quantum systems

Uğur Tırnaklı, Serhat F. Özeren, Fevzi Büyükkılıç, Doğan Demirhan

Journal:

Zeitschrift für Physik B Condensed Matter

Year:

1997

Language:

english

File:

PDF, 125 KB

english, 1997

15

Convergence dynamics of 2-dimensional isotropic and anisotropic Bak–Sneppen models

Burhan Bakar, Ugur Tirnakli

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2008

Language:

english

File:

PDF, 800 KB

english, 2008

16

Damage spreading in the Bak–Sneppen and ballistic deposition models: critical dynamics and nonextensivity

Marcelo L. Lyra, Ugur Tirnakli

Journal:

Physica D: Nonlinear Phenomena

Year:

2004

Language:

english

File:

PDF, 217 KB

english, 2004

17

Mixing and relaxation dynamics of the Hénon map at the edge of chaos

Ernesto P. Borges, Ugur Tirnakli

Journal:

Physica D: Nonlinear Phenomena

Year:

2004

Language:

english

File:

PDF, 85 KB

english, 2004

18

On the way towards a generalized entropy maximization procedure

G. Baris Bagci, Ugur Tirnakli

Journal:

Physics Letters A

Year:

2009

Language:

english

File:

PDF, 158 KB

english, 2009

19

Generalization of the Kolmogorov–Sinai entropy: logistic-like and generalized cosine maps at the chaos threshold

Ugur Tirnakli, Garin F.J Ananos, Constantino Tsallis

Journal:

Physics Letters A

Year:

2001

Language:

english

File:

PDF, 146 KB

english, 2001

20

Dissipative maps at the chaos threshold: numerical results for the single-site map

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2002

Language:

english

File:

PDF, 845 KB

english, 2002

21

Generalization of the mean-field Ising model within Tsallis thermostatistics

Fevzi Büyükkiliç, Doǧan Demirhan, Uǧur Tirnakli

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

1997

Language:

english

File:

PDF, 439 KB

english, 1997

22

Earthquakes, model systems and connections toq-statistics

Ahmet Celikoglu, Ugur Tirnakli

Journal:

Acta Geophysica

Year:

2012

Language:

english

File:

PDF, 1.67 MB

english, 2012

23

Canonical equilibrium distribution derived from Helmholtz potential

Thomas Oikonomou, G. Baris Bagci, Ugur Tirnakli

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2012

Language:

english

File:

PDF, 181 KB

english, 2012

24

Second law for transitions between nonequilibrium steady states

Bagci, G. Baris, Tirnakli, Ugur, Kurths, Juergen

Journal:

Physical Review E

Year:

2013

Language:

english

File:

PDF, 122 KB

english, 2013

25

Central limit behavior of deterministic dynamical systems

Tirnakli, Ugur, Beck, Christian, Tsallis, Constantino

Journal:

Physical Review E

Year:

2007

Language:

english

File:

PDF, 653 KB

english, 2007

26

Renormalized entropy for one dimensional discrete maps: periodic and quasi-periodic route to chaos and their robustness

Ozgur Afsar, Gokhan Baris Bagci, Ugur Tirnakli

Journal:

The European Physical Journal B / Condensed Matter and Complex Systems

Year:

2013

Language:

english

File:

PDF, 1.20 MB

english, 2013

27

Relationships and scaling laws among correlation, fractality, Lyapunov divergence and -Gaussian distributions

Afsar, Ozgur, Tirnakli, Ugur

Journal:

Physica D: Nonlinear Phenomena

Year:

2014

Language:

english

File:

PDF, 839 KB

english, 2014

28

Unified scaling law in the coherent noise model

Celikoglu, Ahmet, Tirnakli, Ugur

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2013

Language:

english

File:

PDF, 1.01 MB

english, 2013

29

Analysis of return distributions in the coherent noise model

Celikoglu, Ahmet, Tirnakli, Ugur, Queirós, Sílvio M. Duarte

Journal:

Physical Review E

Year:

2010

Language:

english

File:

PDF, 4.01 MB

english, 2010

30

Nonadditive entropy and nonextensive statistical mechanics – Some central concepts and recent applications

Tsallis, Constantino, Tirnakli, Ugur

Journal:

Journal of Physics Conference Series

Year:

2010

Language:

english

File:

PDF, 1.31 MB

english, 2010

31

Probability densities for the sums of iterates of the sine-circle map in the vicinity of the quasiperiodic edge of chaos

Afsar, Ozgur, Tirnakli, Ugur

Journal:

Physical Review E

Year:

2010

Language:

english

File:

PDF, 925 KB

english, 2010

32

Generalized Huberman-Rudnick scaling law and robustness of q-Gaussian probability distributions

Afsar, Ozgur, Tirnakli, Ugur

Journal:

EPL (Europhysics Letters)

Year:

2013

Language:

english

File:

PDF, 675 KB

english, 2013

33

Closer look at time averages of the logistic map at the edge of chaos

Tirnakli, Ugur, Tsallis, Constantino, Beck, Christian

Journal:

Physical Review E

Year:

2009

Language:

english

File:

PDF, 602 KB

english, 2009

34

Analysis of self-organized criticality in Ehrenfest’s dog-flea model

Bakar, Burhan, Tirnakli, Ugur

Journal:

Physical Review E

Year:

2009

Language:

english

File:

PDF, 2.35 MB

english, 2009

35

Asymmetric unimodal maps: Some results from q -generalized bit cumulants

Tirnakli, Uǧur

Journal:

Physical Review E

Year:

2000

Language:

english

File:

PDF, 54 KB

english, 2000

36

Connectivity-Driven Coherence in Complex Networks

Pereira, Tiago, Eroglu, Deniz, Bagci, G. Baris, Tirnakli, Ugur, Jensen, Henrik Jeldtoft

Journal:

Physical Review Letters

Year:

2013

Language:

english

File:

PDF, 183 KB

english, 2013

37

Self-organization in dissipative optical lattices

Bağci, G. Baris, Tirnakli, Ugur

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

2009

Language:

english

File:

PDF, 442 KB

english, 2009

38

-logistic maps: Connection between the relaxation and sensitivity entropic indices

Tirnakli, Ugur, Tsallis, Constantino

Journal:

Physical Review E

Year:

2006

Language:

english

File:

PDF, 138 KB

english, 2006

39

Asymmetric unimodal maps at the edge of chaos

Tirnakli, Ugur, Tsallis, Constantino, Lyra, Marcelo L.

Journal:

Physical Review E

Year:

2002

Language:

english

File:

PDF, 122 KB

english, 2002

40

Aging in coherent noise models and natural time

Tirnakli, Ugur, Abe, Sumiyoshi

Journal:

Physical Review E

Year:

2004

Language:

english

File:

PDF, 226 KB

english, 2004

41

DAMAGE SPREADING IN THE BAK–SNEPPEN MODEL: SENSITIVITY TO THE INITIAL CONDITIONS AND EQUILIBRATION DYNAMICS

TIRNAKLI, UGUR, LYRA, MARCELO L.

Journal:

International Journal of Modern Physics C

Year:

2003

Language:

english

File:

PDF, 283 KB

english, 2003

42

SELF-ORGANIZATION IN NONADDITIVE SYSTEMS WITH EXTERNAL NOISE

BAGCI, G. BARIS, TIRNAKLI, UGUR

Journal:

International Journal of Bifurcation and Chaos

Year:

2009

Language:

english

File:

PDF, 138 KB

english, 2009

43

Limit behaviour and scaling relations of two kinds of noisy logistic map in the vicinity of chaos threshold and their robustness

Cetin, Kivanc, Afsar, Ozgur, Tirnakli, Ugur

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2015

Language:

english

File:

PDF, 1.19 MB

english, 2015

44

On the relevance of q -distribution functions: the return time distribution of restricted random walker

Zand, Jaleh, Tirnakli, Ugur, Jensen, Henrik Jeldtoft

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2015

Language:

english

File:

PDF, 740 KB

english, 2015

45

Comment on “Universal relation between skewness and kurtosis in complex dynamics”

Celikoglu, Ahmet, Tirnakli, Ugur

Journal:

Physical Review E

Year:

2015

Language:

english

File:

PDF, 203 KB

english, 2015

46

Entropy-based complexity measures for gait data of patients with Parkinson's disease

Afsar, Ozgur, Tirnakli, Ugur, Kurths, Juergen

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

2016

Language:

english

File:

PDF, 1.00 MB

english, 2016

47

Noisy coupled logistic maps in the vicinity of chaos threshold

Tirnakli, Ugur, Tsallis, Constantino

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

2016

Language:

english

File:

PDF, 5.25 MB

english, 2016

48

The standard map: From Boltzmann-Gibbs statistics to Tsallis statistics

Tirnakli, Ugur, Borges, Ernesto P.

Journal:

Scientific Reports

Year:

2016

Language:

english

File:

PDF, 1.36 MB

english, 2016

49

Thermal conductance of the coupled-rotator chain: Influence of temperature and size

Li, Yunyun, Li, Nianbei, Tirnakli, Ugur, Li, Baowen, Tsallis, Constantino

Journal:

EPL (Europhysics Letters)

Year:

2017

Language:

english

File:

PDF, 233 KB

english, 2017

50

Statistical characterization of the standard map

Ruiz, Guiomar, Tirnakli, Ugur, Borges, Ernesto P, Tsallis, Constantino

Journal:

Journal of Statistical Mechanics Theory and Experiment

Year:

2017

Language:

english

File:

PDF, 2.62 MB

english, 2017

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