×
Compute Distance To:
Author ID: abbott.derek Recent zbMATH articles by "Abbott, Derek"
Published as: Abbott, Derek; Abbott, D.
External Links: MGP · ORCID · Wikidata · Twitter · dblp · GND · IdRef
Documents Indexed: 61 Publications since 1999, including 2 Books
Co-Authors: 73 Co-Authors with 58 Joint Publications
1,338 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 402 times in 254 Documents Cited by Year
Stochastic resonance. From suprathreshold stochastic resonance to stochastic signal quantization. Zbl 1157.94003
McDonnell, Mark D.; Stocks, Nigel G.; Pearce, Charles E.; Abbott, Derek
66
2008
Parrondo’s paradox. Zbl 1059.60503
Harmer, G. P.; Abbott, D.
53
1999
Quantum games with decoherence. Zbl 1065.81524
Flitney, A. P.; Abbott, D.
28
2005
Advantage of a quantum player over a classical one in \(2\times2\) quantum games. Zbl 1047.81014
Flitney, Adrian P.; Abbott, Derek
24
2003
Quantum Parrondo’s games. Zbl 1001.81009
Flitney, A. P.; Ng, J.; Abbott, D.
21
2002
The paradox of Parrondo’s games. Zbl 1054.91514
Harmer, Gregory P.; Abbott, Derek; Taylor, Peter G.
16
2000
Quantum walks with history dependence. Zbl 1067.82024
Flitney, A. P.; Abbott, D.; Johnson, N. F.
13
2004
A probabilistic approach to quantum Bayesian games of incomplete information. Zbl 1305.81036
Iqbal, Azhar; Chappell, James M.; Li, Qiang; Pearce, Charles E. M.; Abbott, Derek
13
2014
Brownian ratchets and Parrondo’s games. Zbl 0993.91004
Harmer, Gregory P.; Abbott, Derek; Taylor, Peter G.; Parrondo, Juan M. R.
11
2001
Control systems with stochastic feedback. Zbl 0977.37049
Allison, Andrew; Abbott, Derek
11
2001
The fourth element: characteristics, modelling and electromagnetic theory of the memristor. Zbl 1193.78014
Kavehei, O.; Iqbal, A.; Kim, Y. S.; Eshraghian, K.; Al-Sarawi, S. F.; Abbott, D.
11
2010
Constructing quantum games from a system of Bell’s inequalities. Zbl 1238.81029
Iqbal, Azhar; Abbott, Derek
10
2010
Quantum models of Parrondo’s games. Zbl 1072.91520
Flitney, A. P.; Abbott, D.
9
2003
Optimal information transmission in nonlinear arrays through suprathreshold stochastic resonance. Zbl 1187.81086
McDonnell, Mark D.; Stocks, Nigel G.; Pearce, Charles E. M.; Abbott, Derek
9
2006
Probabilistic analysis of three-player symmetric quantum games played using the Einstein-Podolsky-Rosen-Bohm setting. Zbl 1225.81027
Iqbal, Azhar; Cheon, Taksu; Abbott, Derek
9
2008
Stochastic resonance in a parallel array of nonlinear dynamical elements. Zbl 1220.60025
Duan, Fabing; Chapeau-Blondeau, François; Abbott, Derek
8
2008
Social optimality in quantum Bayesian games. Zbl 1400.91118
Iqbal, Azhar; Chappell, James M.; Abbott, Derek
7
2015
Noise benefits in combined nonlinear Bayesian estimators. Zbl 07123384
Duan, Fabing; Pan, Yan; Chapeau-Blondeau, François; Abbott, Derek
6
2019
Encoding efficiency of suprathreshold stochastic resonance on stimulus-specific information. Zbl 1377.94015
Duan, Fabing; Chapeau-Blondeau, François; Abbott, Derek
5
2016
Developments in Parrondo’s paradox. Zbl 1161.37323
Abbott, Derek
5
2009
Information entropy and Parrondo’s discrete-time ratchet. Zbl 0976.91001
Harmer, Gregory P.; Abbott, Derek; Taylor, Peter G.; Pearce, Charles E. M.; Parrondo, Juan M. R.
5
2000
Discrete-time ratchets, the Fokker-Planck equation and Parrondo’s paradox. Zbl 1181.91049
Amengual, P.; Allison, A.; Toral, R.; Abbott, D.
5
2004
A semi-quantum version of the game of life. Zbl 1123.91009
Flitney, Adrian P.; Abbott, Derek
5
2005
Randomized switching in the two-envelope problem. Zbl 1186.91071
Mcdonnell, Mark D.; Abbott, Derek
5
2009
Scaling in small-world resistor networks. Zbl 1195.05076
Korniss, G.; Hastings, M. B.; Bassler, K. E.; Berryman, M. J.; Kozma, B.; Abbott, D.
5
2006
Non-Gaussian noise benefits for coherent detection of narrowband weak signal. Zbl 1342.94054
Duan, Fabing; Chapeau-Blondeau, François; Abbott, Derek
4
2014
Unsolved problems of noise and fluctuations. Zbl 1058.82531
Abbott, Derek
4
2001
Noise enhancement in robust estimation of location. Zbl 1414.94460
Pan, Yan; Duan, Fabing; Chapeau-Blondeau, François; Abbott, Derek
4
2018
Gain from the two-envelope problem via information asymmetry: on the suboptimality of randomized switching. Zbl 1237.91077
McDonnell, Mark D.; Grant, Alex J.; Land, Ingmar; Vellambi, Badri N.; Abbott, Derek; Lever, Ken
4
2011
Constructing quantum games from symmetric non-factorizable joint probabilities. Zbl 1238.81046
Chappell, James M.; Iqbal, Azhar; Abbott, Derek
4
2010
Stochastic resonance in Hopfield neural networks for transmitting binary signals. Zbl 1448.62140
Duan, Lingling; Duan, Fabing; Chapeau-Blondeau, François; Abbott, Derek
2
2020
The equivalence of Bell’s inequality and the Nash inequality in a quantum game-theoretic setting. Zbl 1404.81025
Iqbal, Azhar; Chappell, James M.; Abbott, Derek
2
2018
State-space visualization and fractal properties of Parrondo’s games. Zbl 1123.91011
Allison, Andrew; Abbott, Derek; Pearce, Charles
2
2005
Enhancing threshold neural network via suprathreshold stochastic resonance for pattern classification. Zbl 07409898
Liu, Xiaojie; Duan, Lingling; Duan, Fabing; Chapeau-Blondeau, François; Abbott, Derek
2
2021
Non-factorizable joint probabilities and evolutionarily stable strategies in the quantum prisoner’s dilemma game. Zbl 1231.81017
Iqbal, Azhar; Abbott, Derek
2
2009
A game theoretical perspective on the quantum probabilities associated with a GHZ state. Zbl 1402.81088
Iqbal, Azhar; Abbott, Derek
2
2018
An improved formalism for quantum computation based on geometric algebra – case study: Grover’s search algorithm. Zbl 1267.81112
Chappell, James M.; Iqbal, Azhar; Lohe, M. A.; von Smekal, Lorenz; Abbott, Derek
2
2013
Modelling of blood flow resistance for an atherosclerotic artery with multiple stenoses and poststenotic dilatations. Zbl 1387.92031
Wong, Kelvin Kian Loong; Tu, Jiyuan; Mazumdar, Jagannath; Abbott, Derek
1
2009
Decoding suprathreshold stochastic resonance with optimal weights. Zbl 1374.94633
Xu, Liyan; Vladusich, Tony; Duan, Fabing; Gunn, Lachlan J.; Abbott, Derek; McDonnell, Mark D.
1
2015
Parrondo’s capital and history-dependent games. Zbl 1123.91013
Harmer, Gregory P.; Abbott, Derek; Parrondo, Juan M. R.
1
2005
Introduction to quantum games and a quantum Parrondo game. Zbl 1123.91014
Ng, Joseph; Abbott, Derek
1
2005
An ordinary differential equation model for the multistep transformation to cancer. Zbl 1464.92073
Spencer, Sabrina L.; Berryman, Matthew J.; García, José A.; Abbott, Derek
1
2004
On Parrondo’s paradox: how to construct unfair games by composing fair games. Zbl 1147.60061
Key, E. S.; Kłosek, M. M.; Abbott, D.
1
2006
mrPUF: a novel memristive device based physical unclonable function. Zbl 1423.94072
Gao, Yansong; Ranasinghe, Damith C.; Al-Sarawi, Said F.; Kavehei, Omid; Abbott, Derek
1
2015
Cellular memristive dynamical systems (CMDS). Zbl 1296.37055
Bavandpour, Mohammad; Soleimani, Hamid; Bagheri-Shouraki, Saeed; Ahmadi, Arash; Abbott, Derek; Chua, Leon O.
1
2014
Enhancing threshold neural network via suprathreshold stochastic resonance for pattern classification. Zbl 07409898
Liu, Xiaojie; Duan, Lingling; Duan, Fabing; Chapeau-Blondeau, François; Abbott, Derek
2
2021
Stochastic resonance in Hopfield neural networks for transmitting binary signals. Zbl 1448.62140
Duan, Lingling; Duan, Fabing; Chapeau-Blondeau, François; Abbott, Derek
2
2020
Noise benefits in combined nonlinear Bayesian estimators. Zbl 07123384
Duan, Fabing; Pan, Yan; Chapeau-Blondeau, François; Abbott, Derek
6
2019
Noise enhancement in robust estimation of location. Zbl 1414.94460
Pan, Yan; Duan, Fabing; Chapeau-Blondeau, François; Abbott, Derek
4
2018
The equivalence of Bell’s inequality and the Nash inequality in a quantum game-theoretic setting. Zbl 1404.81025
Iqbal, Azhar; Chappell, James M.; Abbott, Derek
2
2018
A game theoretical perspective on the quantum probabilities associated with a GHZ state. Zbl 1402.81088
Iqbal, Azhar; Abbott, Derek
2
2018
Encoding efficiency of suprathreshold stochastic resonance on stimulus-specific information. Zbl 1377.94015
Duan, Fabing; Chapeau-Blondeau, François; Abbott, Derek
5
2016
Social optimality in quantum Bayesian games. Zbl 1400.91118
Iqbal, Azhar; Chappell, James M.; Abbott, Derek
7
2015
Decoding suprathreshold stochastic resonance with optimal weights. Zbl 1374.94633
Xu, Liyan; Vladusich, Tony; Duan, Fabing; Gunn, Lachlan J.; Abbott, Derek; McDonnell, Mark D.
1
2015
mrPUF: a novel memristive device based physical unclonable function. Zbl 1423.94072
Gao, Yansong; Ranasinghe, Damith C.; Al-Sarawi, Said F.; Kavehei, Omid; Abbott, Derek
1
2015
A probabilistic approach to quantum Bayesian games of incomplete information. Zbl 1305.81036
Iqbal, Azhar; Chappell, James M.; Li, Qiang; Pearce, Charles E. M.; Abbott, Derek
13
2014
Non-Gaussian noise benefits for coherent detection of narrowband weak signal. Zbl 1342.94054
Duan, Fabing; Chapeau-Blondeau, François; Abbott, Derek
4
2014
Cellular memristive dynamical systems (CMDS). Zbl 1296.37055
Bavandpour, Mohammad; Soleimani, Hamid; Bagheri-Shouraki, Saeed; Ahmadi, Arash; Abbott, Derek; Chua, Leon O.
1
2014
An improved formalism for quantum computation based on geometric algebra – case study: Grover’s search algorithm. Zbl 1267.81112
Chappell, James M.; Iqbal, Azhar; Lohe, M. A.; von Smekal, Lorenz; Abbott, Derek
2
2013
Gain from the two-envelope problem via information asymmetry: on the suboptimality of randomized switching. Zbl 1237.91077
McDonnell, Mark D.; Grant, Alex J.; Land, Ingmar; Vellambi, Badri N.; Abbott, Derek; Lever, Ken
4
2011
The fourth element: characteristics, modelling and electromagnetic theory of the memristor. Zbl 1193.78014
Kavehei, O.; Iqbal, A.; Kim, Y. S.; Eshraghian, K.; Al-Sarawi, S. F.; Abbott, D.
11
2010
Constructing quantum games from a system of Bell’s inequalities. Zbl 1238.81029
Iqbal, Azhar; Abbott, Derek
10
2010
Constructing quantum games from symmetric non-factorizable joint probabilities. Zbl 1238.81046
Chappell, James M.; Iqbal, Azhar; Abbott, Derek
4
2010
Developments in Parrondo’s paradox. Zbl 1161.37323
Abbott, Derek
5
2009
Randomized switching in the two-envelope problem. Zbl 1186.91071
Mcdonnell, Mark D.; Abbott, Derek
5
2009
Non-factorizable joint probabilities and evolutionarily stable strategies in the quantum prisoner’s dilemma game. Zbl 1231.81017
Iqbal, Azhar; Abbott, Derek
2
2009
Modelling of blood flow resistance for an atherosclerotic artery with multiple stenoses and poststenotic dilatations. Zbl 1387.92031
Wong, Kelvin Kian Loong; Tu, Jiyuan; Mazumdar, Jagannath; Abbott, Derek
1
2009
Stochastic resonance. From suprathreshold stochastic resonance to stochastic signal quantization. Zbl 1157.94003
McDonnell, Mark D.; Stocks, Nigel G.; Pearce, Charles E.; Abbott, Derek
66
2008
Probabilistic analysis of three-player symmetric quantum games played using the Einstein-Podolsky-Rosen-Bohm setting. Zbl 1225.81027
Iqbal, Azhar; Cheon, Taksu; Abbott, Derek
9
2008
Stochastic resonance in a parallel array of nonlinear dynamical elements. Zbl 1220.60025
Duan, Fabing; Chapeau-Blondeau, François; Abbott, Derek
8
2008
Optimal information transmission in nonlinear arrays through suprathreshold stochastic resonance. Zbl 1187.81086
McDonnell, Mark D.; Stocks, Nigel G.; Pearce, Charles E. M.; Abbott, Derek
9
2006
Scaling in small-world resistor networks. Zbl 1195.05076
Korniss, G.; Hastings, M. B.; Bassler, K. E.; Berryman, M. J.; Kozma, B.; Abbott, D.
5
2006
On Parrondo’s paradox: how to construct unfair games by composing fair games. Zbl 1147.60061
Key, E. S.; Kłosek, M. M.; Abbott, D.
1
2006
Quantum games with decoherence. Zbl 1065.81524
Flitney, A. P.; Abbott, D.
28
2005
A semi-quantum version of the game of life. Zbl 1123.91009
Flitney, Adrian P.; Abbott, Derek
5
2005
State-space visualization and fractal properties of Parrondo’s games. Zbl 1123.91011
Allison, Andrew; Abbott, Derek; Pearce, Charles
2
2005
Parrondo’s capital and history-dependent games. Zbl 1123.91013
Harmer, Gregory P.; Abbott, Derek; Parrondo, Juan M. R.
1
2005
Introduction to quantum games and a quantum Parrondo game. Zbl 1123.91014
Ng, Joseph; Abbott, Derek
1
2005
Quantum walks with history dependence. Zbl 1067.82024
Flitney, A. P.; Abbott, D.; Johnson, N. F.
13
2004
Discrete-time ratchets, the Fokker-Planck equation and Parrondo’s paradox. Zbl 1181.91049
Amengual, P.; Allison, A.; Toral, R.; Abbott, D.
5
2004
An ordinary differential equation model for the multistep transformation to cancer. Zbl 1464.92073
Spencer, Sabrina L.; Berryman, Matthew J.; García, José A.; Abbott, Derek
1
2004
Advantage of a quantum player over a classical one in \(2\times2\) quantum games. Zbl 1047.81014
Flitney, Adrian P.; Abbott, Derek
24
2003
Quantum models of Parrondo’s games. Zbl 1072.91520
Flitney, A. P.; Abbott, D.
9
2003
Quantum Parrondo’s games. Zbl 1001.81009
Flitney, A. P.; Ng, J.; Abbott, D.
21
2002
Brownian ratchets and Parrondo’s games. Zbl 0993.91004
Harmer, Gregory P.; Abbott, Derek; Taylor, Peter G.; Parrondo, Juan M. R.
11
2001
Control systems with stochastic feedback. Zbl 0977.37049
Allison, Andrew; Abbott, Derek
11
2001
Unsolved problems of noise and fluctuations. Zbl 1058.82531
Abbott, Derek
4
2001
The paradox of Parrondo’s games. Zbl 1054.91514
Harmer, Gregory P.; Abbott, Derek; Taylor, Peter G.
16
2000
Information entropy and Parrondo’s discrete-time ratchet. Zbl 0976.91001
Harmer, Gregory P.; Abbott, Derek; Taylor, Peter G.; Pearce, Charles E. M.; Parrondo, Juan M. R.
5
2000
Parrondo’s paradox. Zbl 1059.60503
Harmer, G. P.; Abbott, D.
53
1999
all top 5

Cited by 404 Authors

35 Bashkirtseva, Irina Adol’fovna
34 Ryashko, Lev Borisovich
18 Abbott, Derek
10 Alonso-Sanz, Ramón
9 Chapeau-Blondeau, François
9 Situ, Haozhen
7 Cánovas, Jose S.
7 Duan, Fabing
6 Iqbal, Azhar
5 Cheong, Kang Hao
5 Huang, Zhiming
5 Lee, Jiyeon
5 Liu, Jian
5 McDonnell, Mark D.
4 Danca, Marius-Florin
4 Ethier, Stewart N.
4 Hu, Bing
4 Perevalova, Tat’yana Vladimirovna
4 Ryazanova, Tat’yana Vladimirovna
3 Balu, Radhakrishnan
3 Bolonek-Lasoń, Katarzyna
3 Chappell, James M.
3 Elgazzar, Ahmed S.
3 Frąckiewicz, Piotr
3 Linero Bas, Antonio
3 Miszczak, Jaroslaw Adam
3 Pawela, Łukasz
3 Ramzan, Muhammad Babar
3 Riaza, Ricardo
3 Solmeyer, Neal
3 Xie, Nenggang
3 Ye, Ye
2 Ahmad, Rashid
2 Amigó, José María
2 Chen, Guanrong
2 Cheon, Taksu
2 Ding, Xiaojian
2 Duan, Lingling
2 Egozcue, Martin
2 Flitney, Adrian P.
2 García de la Vega, Ignacio
2 Gawron, Piotr
2 Giménez, Angel
2 Grünbaum, Francisco Alberto
2 Gudder, Stanley P.
2 He, Guitian
2 Jia, Rong
2 Kameshwari, A. V. S.
2 Khan, Faisal Shah
2 Kloeden, Peter Eris
2 Kolinichenko, Aleksandr Pavlovich
2 Korniss, György
2 Krawiecki, A.
2 Liao, Xiang-Ping
2 Liu, Chongxin
2 Liu, Shujun
2 Mendoza, Steve A.
2 Peacock-López, Enrique
2 Pezeshk, Hamid
2 Piotrowski, Edward W.
2 Qiao, Zijian
2 Romera, Miguel
2 Sadeghi, Mehdi
2 Sanjuán, Miguel A. F.
2 Soo, Wayne Wah Ming
2 Tsvetkov, Ivan
2 Vijayakrishnan, V.
2 Wang, Youguo
2 Wu, Chaojun
2 Xu, Liyan
2 Yang, Ningning
2 Yang, Ting
2 Zaitseva, Svetlana Sergeevna
2 Zang, Chuanlai
2 Zitikis, Ričardas
1 Abdelkhalek, Ahmed
1 Adekoya, Adebayo Felix
1 Agarwal, Shafali
1 Al-Sarawi, Said F.
1 Aleksandrov, Dmitriĭ Valer’evich
1 Alid-Vaccarezza, M.
1 Allison, Andrew Gordon
1 Alombah, N. Henry
1 Alsharawi, Ziyad
1 Aragie, Berhanu
1 Ardenghi, Juan Sebastian
1 Arena, Paolo
1 Arfi, Badredine
1 Ashida, Go
1 Bassler, Kevin E.
1 Behrends, Ehrhard
1 Belin, Etienne
1 Benjamin, Colin
1 Bibi, Safia
1 Biolek, Dalibor
1 Biolek, Zdeněk
1 Bishop, D. Timothy
1 Boccaletti, Stefano
1 Bourmeyster, Nicolas
1 Broom, Mark
...and 304 more Authors
all top 5

Cited in 69 Serials

40 Quantum Information Processing
33 Physica A
21 Chaos, Solitons and Fractals
19 Physics Letters. A
19 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
13 International Journal of Theoretical Physics
12 Chaos
6 Communications in Nonlinear Science and Numerical Simulation
5 Nonlinear Dynamics
5 International Journal of Quantum Information
4 Physica D
3 International Journal of Modern Physics B
3 Applied Mathematics and Computation
2 Journal of the Franklin Institute
2 Journal of Statistical Physics
2 Physics Reports
2 Bulletin of Mathematical Biology
2 Journal of Computational Neuroscience
2 Journal of Difference Equations and Applications
2 Mathematical Problems in Engineering
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Entropy
2 Journal of Statistical Mechanics: Theory and Experiment
2 Journal of Statistical Theory and Practice
2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Biology
1 Journal of Mathematical Physics
1 Letters in Mathematical Physics
1 Mathematical Biosciences
1 Automatica
1 Journal of Applied Probability
1 Mathematics and Computers in Simulation
1 Synthese
1 Theoretical Computer Science
1 Theory and Decision
1 Operations Research Letters
1 Circuits, Systems, and Signal Processing
1 Neural Networks
1 Neural Computation
1 The Annals of Applied Probability
1 MSCS. Mathematical Structures in Computer Science
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Journal on Applied Mathematics
1 Fractals
1 Discrete and Continuous Dynamical Systems
1 Journal of Vibration and Control
1 Discrete Dynamics in Nature and Society
1 International Journal of Numerical Modelling
1 Regular and Chaotic Dynamics
1 International Journal of Applied Mathematics and Computer Science
1 Journal of Biological Systems
1 Applied Stochastic Models in Business and Industry
1 Journal of Modern Optics
1 The ANZIAM Journal
1 Quantitative Finance
1 Dynamical Systems
1 Foundations of Physics
1 Waves in Random and Complex Media
1 The European Physical Journal B. Condensed Matter and Complex Systems
1 Discrete and Continuous Dynamical Systems. Series S
1 Communications in Theoretical Physics
1 Dynamic Games and Applications
1 Journal of Applied Nonlinear Dynamics
1 Journal of Statistical Distributions and Applications
1 International Journal of Applied and Computational Mathematics
1 Journal of Siberian Federal University. Mathematics & Physics
1 AIMS Mathematics
1 Journal of Computational and Theoretical Transport

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.