×
Author ID: diamond.phil Recent zbMATH articles by "Diamond, Phil"
Published as: Diamond, Phil; Diamond, P.
Documents Indexed: 111 Publications since 1971, including 2 Books
Reviewing Activity: 1 Review
Co-Authors: 25 Co-Authors with 71 Joint Publications
712 Co-Co-Authors
all top 5

Serials

11 Fuzzy Sets and Systems
7 International Journal of Control
7 Journal of Mathematical Analysis and Applications
6 Automation and Remote Control
5 Bulletin of the Australian Mathematical Society
5 Computers & Mathematics with Applications
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Journal of Nonlinear Science
3 Nonlinear Analysis. Theory, Methods & Applications
2 International Journal of Systems Science
2 Journal of the Australian Mathematical Society, Series B
2 Mathematical Biosciences
2 Mathematische Nachrichten
2 Circuits, Systems, and Signal Processing
2 Aequationes Mathematicae
2 Journal of the Australian Mathematical Society. Series A
2 Random & Computational Dynamics
2 Set-Valued Analysis
1 Applicable Analysis
1 International Journal of General Systems
1 Journal of Statistical Physics
1 The Australian Mathematical Society Gazette
1 Information Sciences
1 Journal of Differential Equations
1 Mathematics and Computers in Simulation
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerical Functional Analysis and Optimization
1 Proceedings of the American Mathematical Society
1 Theoretical Computer Science
1 Cybernetics and Systems
1 Physica D
1 Applied Mathematics Letters
1 Dynamics and Stability of Systems
1 Complex Systems
1 Journal of Applied Mathematics and Stochastic Analysis
1 Dynamics and Control
1 IEEE Transactions on Systems, Man, and Cybernetics
1 Linear Algebra and its Applications
1 Journal of Dynamics and Differential Equations
1 Journal of Difference Equations and Applications
1 Arab Journal of Mathematical Sciences
1 Doklady Mathematics
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
1 Mathematical Geology
1 IEEE Transactions on Fuzzy Systems
1 AIMS Series on Random and Computational Dynamics

Publications by Year

Citations contained in zbMATH Open

89 Publications have been cited 1,399 times in 1,092 Documents Cited by Year
Metric spaces of fuzzy sets: theory and applications. Zbl 0873.54019
Diamond, Phil; Kloeden, Peter
363
1994
Fuzzy least squares. Zbl 0663.65150
Diamond, Phil
178
1988
Metric spaces of fuzzy sets. Zbl 0704.54006
Diamond, Phil; Kloeden, Peter
140
1990
Multivalued spatial discretization of dynamical systems. Zbl 0843.54041
Diamond, P.; Pokrovskij, A.; Kloeden, P.
135
1994
Characterization of compact subsets of fuzzy sets. Zbl 0661.54011
Diamond, Phil; Kloeden, Peter
63
1989
Brief note on the variation of constants formula for fuzzy differential equations. Zbl 1021.34048
Diamond, Phil
51
2002
Extended fuzzy linear models and least squares estimates. Zbl 0936.62073
Diamond, P.; Körner, R.
39
1997
Regularity of solution sets for differential inclusions quasi-concave in a parameter. Zbl 0944.34008
Diamond, P.; Watson, P.
36
2000
Anisotropy-based performance analysis of linear discrete time invariant control systems. Zbl 1008.93031
Diamond, P.; Vladimirov, I.; Kurdjukov, A.; Semyonov, A.
30
2001
Anisotropy-based robust performance analysis of finite horizon linear discrete time varying systems. Zbl 1194.93052
Vladimirov, I. G.; Diamond, P.; Kloeden, P.
30
2006
Metric topology of fuzzy numbers and fuzzy analysis. Zbl 0988.26019
Diamond, Phil; Kloeden, Peter
25
2000
Theory and applications of fuzzy Volterra integral equations. Zbl 1142.45302
Diamond, P.
23
2002
Fuzzy regression analysis. Zbl 0922.62058
Diamond, Phil; Tanaka, Hideo
20
1998
Least squares fitting of compact set-valued data. Zbl 0704.65006
Diamond, Phil
20
1990
Chaotic behaviour of systems of difference equations. Zbl 0336.93004
Diamond, Phil
20
1976
Chaos, entropy and a generalized extension principle. Zbl 0827.58037
Diamond, Phil; Pokrovskii, Aleksej
18
1994
Comparative properties of three metrics in the space of compact convex sets. Zbl 0895.90151
Diamond, Phil; Kloeden, Peter; Rubinov, Alexander; Vladimirov, Alexander
16
1997
A stochastic functional equation. Zbl 0359.39001
Diamond, Phil
13
1977
Collapsing effects in numerical simulation of a class of chaotic dynamical systems and random mappings with a single attracting centre. Zbl 0878.60094
Diamond, P.; Kloeden, P.; Pokrovskii, A.; Vladimirov, A.
12
1995
Absolute retracts and a general fixed point theorem for fuzzy sets. Zbl 0917.54045
Diamond, Phil; Kloeden, Peter; Pokrovskii, Aleksej
11
1997
Chaos in iterated fuzzy systems. Zbl 0830.54006
Diamond, Phil
10
1994
Basin of attraction of cycles of discretizations of dynamical systems with SRB invariant measures. Zbl 1081.37510
Diamond, Phil; Klemm, Anthony; Kloeden, Peter; Pokrovskii, Aleksej
10
1996
Fuzzy kriging. Zbl 0679.62088
Diamond, Phil
10
1989
A note on fuzzy starshaped fuzzy sets. Zbl 0702.54008
Diamond, Phil
10
1990
Metric spaces of fuzzy sets: Corrigendum. Zbl 0747.54004
Diamond, Phil; Kloeden, Peter
9
1992
Least squares and maximum likelihood regression for fuzzy linear models. Zbl 0778.62059
Diamond, Phil
9
1992
Interval stochastic matrices and simulation of chaotic dynamics. Zbl 0811.58042
Diamond, P.; Kloeden, P.; Prokrovskij, A.
9
1994
Stability of large cycles in a nonsmooth problem with Hopf bifurcation at infinity. Zbl 0963.34034
Diamond, P.; Rachinskii, D.; Yumagulov, M.
9
2000
On the Hopf bifurcation in control systems with a bounded nonlinearity asymptotically homogeneous at infinity. Zbl 0984.34029
Diamond, P.; Kuznetsov, N.; Rachinskii, D.
9
2001
Semihyperbolic mappings. Zbl 0855.58044
Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A.
8
1995
Statistical properties of discretizations of a class of chaotic dynamical systems. Zbl 0854.34043
Diamond, P.; Suzuki, M.; Kloeden, P.; Pokrovskii, P.
8
1996
Expansivity of semi-hyperbolic Lipschitz mappings. Zbl 0826.58028
Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A.
8
1995
Dual cones in spaces of convex sets and fuzzy sets. Zbl 0874.90194
Diamond, Phil; Vladimirov, A.; Kloeden, P.
7
1995
Spatial discretization of mappings. Zbl 0774.65055
Diamond, Phil; Kloeden, Peter
7
1993
Computer robustness of semi-hyperbolic mappings. Zbl 0849.58051
Diamond, Phil; Kloeden, Peter; Kozyakin, Victor; Pokrovskii, Alexej
7
1995
Boundedness and dissipativity of truncated rotations on uniform planar lattices. Zbl 0903.65063
Diamond, Phil; Kloeden, Peter; Kozyakin, Victor; Pokrovskii, Alexej
6
1998
Mean anisotropy of homogeneous Gaussian random fields and anisotropic norms of linear translation-invariant operators on multidimensional integer lattices. Zbl 1060.60053
Diamond, Phil; Kloeden, Peter; Vladimirov, Igor
6
2003
An invariant measure arising in computer simulation of a chaotic dynamical system. Zbl 0789.58044
Diamond, P.; Kloeden, P.; Pokrovskii, A.
6
1994
Approximation of knowledge and fuzzy sets. Zbl 0788.68137
Diamond, Phil; Ramer, Arthur
6
1993
Interval-valued random functions and the kriging of intervals. Zbl 0970.86500
Diamond, Phil
6
1988
A fuzzy max-flow min-cut theorem. Zbl 1044.90531
Diamond, Phil
6
2001
Bi-shadowing and delay equations. Zbl 0854.34064
Al-Nayef, A.; Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskij, A.
5
1996
Bishadowing and hyperbolicity. Zbl 1043.37017
Diamond, Phil; Lee, Keonhee; Han, Yinghao
5
2002
Statistical laws for computational collapse of discretized chaotic mappings. Zbl 1298.37073
Diamond, Phil; Pokrovskii, Alexei
5
1996
A note on compact sets in spaces of subsets. Zbl 0643.54013
Diamond, Phil; Kloeden, Peter
5
1988
Asymptotic independence and uniform distribution of quantization errors for spatially discretized dynamical systems. Zbl 0948.37057
Diamond, P.; Vladimirov, I.
4
1998
Weakly chain recurrent points and spatial discretizations of dynamical systems. Zbl 0806.58028
Diamond, Phil; Kloeden, Peter; Pokrovskii, Alexej
4
1994
Interval stochastic matrices: A combinatorial lemma and the computation of invariant measures of dynamical systems. Zbl 0827.60055
Diamond, Phil; Kloeden, Peter; Pokrovskii, Aleksej
4
1995
Absolute stability of positive systems with differential constraints. Zbl 1002.93047
Diamond, Phil; Opoitsev, Valery
4
2000
Real structural stability radius of infinite-dimensional linear systems: Its estimate. Zbl 1090.93551
Bulatov, A. V.; Diamond, P.
4
2002
Set-valued Markov chains and negative semitrajectories of discretized dynamical systems. Zbl 1029.37054
Diamond, P.; Vladimirov, I.
4
2002
A model for roundoff and collapse in computation of chaotic dynamical systems. Zbl 1017.37501
Diamond, P.; Kloeden, P. E.; Kozyakin, V. S.; Pokrovskii, A. V.
4
1997
Higher level fuzzy numbers arising from fuzzy regression models. Zbl 0697.62063
Diamond, Phil
4
1990
Robustness of dynamical systems to a class of nonsmooth perturbations. Zbl 0849.58059
Diamond, P.; Kloeden, P.; Kozyakin, V.; Krasnosel’skij, M.; Pokrovskii, A.
3
1996
Estimates of the real structured radius of stability of linear dynamic systems. Zbl 1092.93581
Bobylev, N. A.; Bulatov, A. V.; Diamond, Phil
3
2001
Monotonic dynamical systems under spatial discretization. Zbl 0903.58017
Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A.
3
1998
An easily computable estimate for the real unstructured \(F\)-stability radius. Zbl 0982.93058
Bobylev, Nikolai; Bulatov, A.; Diamond, Phil
3
1999
Class of discrete Liapunov functions. Zbl 0302.34060
Diamond, Phil
3
1975
Congruence classes of fuzzy sets form a Banach space. Zbl 0769.46057
Diamond, Phil
2
1991
Stability of linear difference and differential inclusions. Zbl 1082.34509
Diamond, P.; Opojtsev, V. I.
2
2001
Numerical modeling of toroidal dynamical systems with invariant Lebesgue measure. Zbl 0821.65053
Diamond, Phil; Kloeden, Peter; Pokrovskij, Alexej
2
1993
Analysis of an algorithm for computing invariant measures. Zbl 0826.58022
Diamond, Phil; Kloeden, Peter; Pokrovskij, Alexej
2
1995
Total uncertainty revisited. Zbl 0888.68110
Ramer, Arthur; Hiller, John; Diamond, Phil; Padet, Colette
2
1997
Branching processes and computational collapse of discretized unimodal mappings. Zbl 1043.37030
Diamond, P.; Vladimirov, I.
2
2002
Stability of nonlinear difference inclusions. Zbl 0989.39005
Diamond, Phil; Opoitsev, Valery
2
2001
Semi-hyperbolicity and bi-shadowing. Zbl 1307.37001
Diamond, Phil; Kloeden, Peter; Kozyakin, Victor; Pokrovskii, Alexei
2
2012
Chaotic phenomena in desynchronized systems and stability analysis. Zbl 0774.93057
Asarin, E.; Diamond, Phil; Fomenko, I.; Pokrovskij, A.
1
1993
Impulsive evolution equations and population models. (With comments). Zbl 0761.92038
Diamond, Phil
1
1990
Robustness of representations in multilayer feedforward neural networks. Zbl 0782.68096
Diamond, Phil; Fomenko, Igor V.
1
1993
The minimal center of attraction of measurable systems and their discretizations. Zbl 0852.58061
Diamond, Phil; Kloeden, Peter; Pokrovskij, Aleksej
1
1996
Robustness of the observable behavior of semihyperbolic dynamic systems. Zbl 0931.93029
Diamond, P.; Kloeden, P.; Kozyakin, V. S.; Pokrovskij, A. V.
1
1995
Spikes, broken planes and the approximation of convex fuzzy sets. Zbl 0981.54008
Diamond, Phil; Kloeden, Peter; Vladimirov, Alexander
1
1998
Cycles of spatial discretizations of shadowing dynamical systems. Zbl 0817.58021
Diamond, Phil; Kloeden, Peter; Pokrovskij, Aleksej
1
1995
A uniform white-noise model for fixed-point roundoff errors in digital systems. Zbl 1072.94508
Vladimirov, I. G.; Diamond, P.
1
2002
Roughness of trajectories of dynamical systems with respect to hysteresis disturbances. Zbl 0897.34065
Diamond, P.; Kloeden, P.; Kozyakin, V. S.; Krasnosel’skij, M. A.; Pokrovskij, A. V.
1
1995
Bifurcation at infinity for equations in spaces of vector-valued functions. Zbl 0913.47058
Diamond, P.; Kloeden, P. E.; Krasnosel’skii, A. M.; Pokrovskii, A. V.
1
1997
Shadowing and approximation in dynamical systems. Zbl 0856.58032
Diamond, P.; Kloeden, P.; Pokrovskij, A.
1
1994
On the fragmentary complexity of symbolic sequences. Zbl 0873.68120
Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A.
1
1995
Chaos and fuzzy systems. Zbl 0921.93026
Diamond, Phil
1
1998
Slowly varying functions of two variables and a Tauberian theorem for the double Laplace transform. Zbl 0586.44004
Diamond, Phil
1
1987
The stability of the interaction between entomophagous parasites and their host. Zbl 0272.92006
Diamond, Phil
1
1974
Nonlinear integral operators and chaos in Banach spaces. Zbl 0605.45013
Diamond, Phil
1
1987
Fixed points of iterates of multivalued mappings. Zbl 0689.47018
Diamond, Phil
1
1989
Stochastic exponential stability concepts and large-scale discrete systems. Zbl 0312.93046
Diamond, Phil
1
1975
Higher-order terms in asymptotic expansion for information loss in quantized random processes. Zbl 0992.94021
Diamond, Phil; Vladimirov, Igor
1
2001
Stability of a class of differential inclusions. Zbl 1010.34003
Diamond, Phil; Opoitsev, Valery
1
2001
Iterated maps on discretized meshes of the unit interval. Zbl 0725.65069
Diamond, Phil
1
1991
Regions of local stability for non-autonomous discrete systems. Zbl 0378.93036
Diamond, Phil
1
1978
Semi-hyperbolicity and bi-shadowing in nonautonomous difference equations with Lipschitz mappings. Zbl 1154.39022
Diamond, Phil; Kloeden, P. E.; Kozyakin, V. S.
1
2008
Semi-hyperbolicity and bi-shadowing. Zbl 1307.37001
Diamond, Phil; Kloeden, Peter; Kozyakin, Victor; Pokrovskii, Alexei
2
2012
Semi-hyperbolicity and bi-shadowing in nonautonomous difference equations with Lipschitz mappings. Zbl 1154.39022
Diamond, Phil; Kloeden, P. E.; Kozyakin, V. S.
1
2008
Anisotropy-based robust performance analysis of finite horizon linear discrete time varying systems. Zbl 1194.93052
Vladimirov, I. G.; Diamond, P.; Kloeden, P.
30
2006
Mean anisotropy of homogeneous Gaussian random fields and anisotropic norms of linear translation-invariant operators on multidimensional integer lattices. Zbl 1060.60053
Diamond, Phil; Kloeden, Peter; Vladimirov, Igor
6
2003
Brief note on the variation of constants formula for fuzzy differential equations. Zbl 1021.34048
Diamond, Phil
51
2002
Theory and applications of fuzzy Volterra integral equations. Zbl 1142.45302
Diamond, P.
23
2002
Bishadowing and hyperbolicity. Zbl 1043.37017
Diamond, Phil; Lee, Keonhee; Han, Yinghao
5
2002
Real structural stability radius of infinite-dimensional linear systems: Its estimate. Zbl 1090.93551
Bulatov, A. V.; Diamond, P.
4
2002
Set-valued Markov chains and negative semitrajectories of discretized dynamical systems. Zbl 1029.37054
Diamond, P.; Vladimirov, I.
4
2002
Branching processes and computational collapse of discretized unimodal mappings. Zbl 1043.37030
Diamond, P.; Vladimirov, I.
2
2002
A uniform white-noise model for fixed-point roundoff errors in digital systems. Zbl 1072.94508
Vladimirov, I. G.; Diamond, P.
1
2002
Anisotropy-based performance analysis of linear discrete time invariant control systems. Zbl 1008.93031
Diamond, P.; Vladimirov, I.; Kurdjukov, A.; Semyonov, A.
30
2001
On the Hopf bifurcation in control systems with a bounded nonlinearity asymptotically homogeneous at infinity. Zbl 0984.34029
Diamond, P.; Kuznetsov, N.; Rachinskii, D.
9
2001
A fuzzy max-flow min-cut theorem. Zbl 1044.90531
Diamond, Phil
6
2001
Estimates of the real structured radius of stability of linear dynamic systems. Zbl 1092.93581
Bobylev, N. A.; Bulatov, A. V.; Diamond, Phil
3
2001
Stability of linear difference and differential inclusions. Zbl 1082.34509
Diamond, P.; Opojtsev, V. I.
2
2001
Stability of nonlinear difference inclusions. Zbl 0989.39005
Diamond, Phil; Opoitsev, Valery
2
2001
Higher-order terms in asymptotic expansion for information loss in quantized random processes. Zbl 0992.94021
Diamond, Phil; Vladimirov, Igor
1
2001
Stability of a class of differential inclusions. Zbl 1010.34003
Diamond, Phil; Opoitsev, Valery
1
2001
Regularity of solution sets for differential inclusions quasi-concave in a parameter. Zbl 0944.34008
Diamond, P.; Watson, P.
36
2000
Metric topology of fuzzy numbers and fuzzy analysis. Zbl 0988.26019
Diamond, Phil; Kloeden, Peter
25
2000
Stability of large cycles in a nonsmooth problem with Hopf bifurcation at infinity. Zbl 0963.34034
Diamond, P.; Rachinskii, D.; Yumagulov, M.
9
2000
Absolute stability of positive systems with differential constraints. Zbl 1002.93047
Diamond, Phil; Opoitsev, Valery
4
2000
An easily computable estimate for the real unstructured \(F\)-stability radius. Zbl 0982.93058
Bobylev, Nikolai; Bulatov, A.; Diamond, Phil
3
1999
Fuzzy regression analysis. Zbl 0922.62058
Diamond, Phil; Tanaka, Hideo
20
1998
Boundedness and dissipativity of truncated rotations on uniform planar lattices. Zbl 0903.65063
Diamond, Phil; Kloeden, Peter; Kozyakin, Victor; Pokrovskii, Alexej
6
1998
Asymptotic independence and uniform distribution of quantization errors for spatially discretized dynamical systems. Zbl 0948.37057
Diamond, P.; Vladimirov, I.
4
1998
Monotonic dynamical systems under spatial discretization. Zbl 0903.58017
Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A.
3
1998
Spikes, broken planes and the approximation of convex fuzzy sets. Zbl 0981.54008
Diamond, Phil; Kloeden, Peter; Vladimirov, Alexander
1
1998
Chaos and fuzzy systems. Zbl 0921.93026
Diamond, Phil
1
1998
Extended fuzzy linear models and least squares estimates. Zbl 0936.62073
Diamond, P.; Körner, R.
39
1997
Comparative properties of three metrics in the space of compact convex sets. Zbl 0895.90151
Diamond, Phil; Kloeden, Peter; Rubinov, Alexander; Vladimirov, Alexander
16
1997
Absolute retracts and a general fixed point theorem for fuzzy sets. Zbl 0917.54045
Diamond, Phil; Kloeden, Peter; Pokrovskii, Aleksej
11
1997
A model for roundoff and collapse in computation of chaotic dynamical systems. Zbl 1017.37501
Diamond, P.; Kloeden, P. E.; Kozyakin, V. S.; Pokrovskii, A. V.
4
1997
Total uncertainty revisited. Zbl 0888.68110
Ramer, Arthur; Hiller, John; Diamond, Phil; Padet, Colette
2
1997
Bifurcation at infinity for equations in spaces of vector-valued functions. Zbl 0913.47058
Diamond, P.; Kloeden, P. E.; Krasnosel’skii, A. M.; Pokrovskii, A. V.
1
1997
Basin of attraction of cycles of discretizations of dynamical systems with SRB invariant measures. Zbl 1081.37510
Diamond, Phil; Klemm, Anthony; Kloeden, Peter; Pokrovskii, Aleksej
10
1996
Statistical properties of discretizations of a class of chaotic dynamical systems. Zbl 0854.34043
Diamond, P.; Suzuki, M.; Kloeden, P.; Pokrovskii, P.
8
1996
Bi-shadowing and delay equations. Zbl 0854.34064
Al-Nayef, A.; Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskij, A.
5
1996
Statistical laws for computational collapse of discretized chaotic mappings. Zbl 1298.37073
Diamond, Phil; Pokrovskii, Alexei
5
1996
Robustness of dynamical systems to a class of nonsmooth perturbations. Zbl 0849.58059
Diamond, P.; Kloeden, P.; Kozyakin, V.; Krasnosel’skij, M.; Pokrovskii, A.
3
1996
The minimal center of attraction of measurable systems and their discretizations. Zbl 0852.58061
Diamond, Phil; Kloeden, Peter; Pokrovskij, Aleksej
1
1996
Collapsing effects in numerical simulation of a class of chaotic dynamical systems and random mappings with a single attracting centre. Zbl 0878.60094
Diamond, P.; Kloeden, P.; Pokrovskii, A.; Vladimirov, A.
12
1995
Semihyperbolic mappings. Zbl 0855.58044
Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A.
8
1995
Expansivity of semi-hyperbolic Lipschitz mappings. Zbl 0826.58028
Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A.
8
1995
Dual cones in spaces of convex sets and fuzzy sets. Zbl 0874.90194
Diamond, Phil; Vladimirov, A.; Kloeden, P.
7
1995
Computer robustness of semi-hyperbolic mappings. Zbl 0849.58051
Diamond, Phil; Kloeden, Peter; Kozyakin, Victor; Pokrovskii, Alexej
7
1995
Interval stochastic matrices: A combinatorial lemma and the computation of invariant measures of dynamical systems. Zbl 0827.60055
Diamond, Phil; Kloeden, Peter; Pokrovskii, Aleksej
4
1995
Analysis of an algorithm for computing invariant measures. Zbl 0826.58022
Diamond, Phil; Kloeden, Peter; Pokrovskij, Alexej
2
1995
Robustness of the observable behavior of semihyperbolic dynamic systems. Zbl 0931.93029
Diamond, P.; Kloeden, P.; Kozyakin, V. S.; Pokrovskij, A. V.
1
1995
Cycles of spatial discretizations of shadowing dynamical systems. Zbl 0817.58021
Diamond, Phil; Kloeden, Peter; Pokrovskij, Aleksej
1
1995
Roughness of trajectories of dynamical systems with respect to hysteresis disturbances. Zbl 0897.34065
Diamond, P.; Kloeden, P.; Kozyakin, V. S.; Krasnosel’skij, M. A.; Pokrovskij, A. V.
1
1995
On the fragmentary complexity of symbolic sequences. Zbl 0873.68120
Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A.
1
1995
Metric spaces of fuzzy sets: theory and applications. Zbl 0873.54019
Diamond, Phil; Kloeden, Peter
363
1994
Multivalued spatial discretization of dynamical systems. Zbl 0843.54041
Diamond, P.; Pokrovskij, A.; Kloeden, P.
135
1994
Chaos, entropy and a generalized extension principle. Zbl 0827.58037
Diamond, Phil; Pokrovskii, Aleksej
18
1994
Chaos in iterated fuzzy systems. Zbl 0830.54006
Diamond, Phil
10
1994
Interval stochastic matrices and simulation of chaotic dynamics. Zbl 0811.58042
Diamond, P.; Kloeden, P.; Prokrovskij, A.
9
1994
An invariant measure arising in computer simulation of a chaotic dynamical system. Zbl 0789.58044
Diamond, P.; Kloeden, P.; Pokrovskii, A.
6
1994
Weakly chain recurrent points and spatial discretizations of dynamical systems. Zbl 0806.58028
Diamond, Phil; Kloeden, Peter; Pokrovskii, Alexej
4
1994
Shadowing and approximation in dynamical systems. Zbl 0856.58032
Diamond, P.; Kloeden, P.; Pokrovskij, A.
1
1994
Spatial discretization of mappings. Zbl 0774.65055
Diamond, Phil; Kloeden, Peter
7
1993
Approximation of knowledge and fuzzy sets. Zbl 0788.68137
Diamond, Phil; Ramer, Arthur
6
1993
Numerical modeling of toroidal dynamical systems with invariant Lebesgue measure. Zbl 0821.65053
Diamond, Phil; Kloeden, Peter; Pokrovskij, Alexej
2
1993
Chaotic phenomena in desynchronized systems and stability analysis. Zbl 0774.93057
Asarin, E.; Diamond, Phil; Fomenko, I.; Pokrovskij, A.
1
1993
Robustness of representations in multilayer feedforward neural networks. Zbl 0782.68096
Diamond, Phil; Fomenko, Igor V.
1
1993
Metric spaces of fuzzy sets: Corrigendum. Zbl 0747.54004
Diamond, Phil; Kloeden, Peter
9
1992
Least squares and maximum likelihood regression for fuzzy linear models. Zbl 0778.62059
Diamond, Phil
9
1992
Congruence classes of fuzzy sets form a Banach space. Zbl 0769.46057
Diamond, Phil
2
1991
Iterated maps on discretized meshes of the unit interval. Zbl 0725.65069
Diamond, Phil
1
1991
Metric spaces of fuzzy sets. Zbl 0704.54006
Diamond, Phil; Kloeden, Peter
140
1990
Least squares fitting of compact set-valued data. Zbl 0704.65006
Diamond, Phil
20
1990
A note on fuzzy starshaped fuzzy sets. Zbl 0702.54008
Diamond, Phil
10
1990
Higher level fuzzy numbers arising from fuzzy regression models. Zbl 0697.62063
Diamond, Phil
4
1990
Impulsive evolution equations and population models. (With comments). Zbl 0761.92038
Diamond, Phil
1
1990
Characterization of compact subsets of fuzzy sets. Zbl 0661.54011
Diamond, Phil; Kloeden, Peter
63
1989
Fuzzy kriging. Zbl 0679.62088
Diamond, Phil
10
1989
Fixed points of iterates of multivalued mappings. Zbl 0689.47018
Diamond, Phil
1
1989
Fuzzy least squares. Zbl 0663.65150
Diamond, Phil
178
1988
Interval-valued random functions and the kriging of intervals. Zbl 0970.86500
Diamond, Phil
6
1988
A note on compact sets in spaces of subsets. Zbl 0643.54013
Diamond, Phil; Kloeden, Peter
5
1988
Slowly varying functions of two variables and a Tauberian theorem for the double Laplace transform. Zbl 0586.44004
Diamond, Phil
1
1987
Nonlinear integral operators and chaos in Banach spaces. Zbl 0605.45013
Diamond, Phil
1
1987
Regions of local stability for non-autonomous discrete systems. Zbl 0378.93036
Diamond, Phil
1
1978
A stochastic functional equation. Zbl 0359.39001
Diamond, Phil
13
1977
Chaotic behaviour of systems of difference equations. Zbl 0336.93004
Diamond, Phil
20
1976
Class of discrete Liapunov functions. Zbl 0302.34060
Diamond, Phil
3
1975
Stochastic exponential stability concepts and large-scale discrete systems. Zbl 0312.93046
Diamond, Phil
1
1975
The stability of the interaction between entomophagous parasites and their host. Zbl 0272.92006
Diamond, Phil
1
1974
all top 5

Cited by 1,191 Authors

31 Diamond, Phil
29 Kloeden, Peter Eris
28 Chalco-Cano, Yurilev
23 Rodríguez-López, Rosana
23 Wu, Congxin
22 Gong, Zengtai
22 Khastan, Alireza
21 Colubi, Ana
20 Allahviranloo, Tofigh
20 Román-Flores, Heriberto E.
19 Nieto Roig, Juan Jose
18 Gil, María Angeles
18 Pokrovskiĭ, Alexeĭ Vadimovich
17 Kurdyukov, Alexander P.
15 Huang, Huan
15 Malinowski, Marek T.
14 Coroianu, Lucian C.
13 D’Urso, Pierpaolo
12 Abbasbandy, Saeid
12 Feng, Yuhu
12 González-Rodríguez, Gil
12 Lubiano, María Asunción
12 Qiu, Dong
11 O’Regan, Donal
11 Savaş, Ekrem
11 Syau, Yu-Ru
10 Bede, Barnabás
10 Blanco-Fernández, Angela
10 De Barros, Laécio Carvalho
10 Hong, Dug Hun
10 Kandel, Abraham
10 Shao, Yabin
9 Agarwal, Ravi P.
9 Costa, Tiago M.
9 Esmi, Estevão Laureano
9 Et, Mikail
9 Hesamian, Gholamreza
9 Kozyakin, Viktor Sergeevich
9 Kupka, Jiří
9 Ma, Ming
8 Altinok, Hifsi
8 Aytar, Salih
8 Kustov, Arkadiy Yu.
8 Lee, E. Stanley
8 López-Díaz, Miguel
8 Michta, Mariusz
8 Montenegro, Manuel
8 Osuna-Gómez, Rafaela
8 Salahshour, Soheil
8 Sinova, Beatriz
8 Tchaikovsky, Michael M.
8 Timin, Victor N.
8 Yoshida, Yuji
7 Çolak, Rifat
7 Dutta, Hemen
7 Ramos-Guajardo, Ana Belén
7 Rojas-Medar, Marko Antonio
7 Rufián-Lizana, Antonio
7 Stefanini, Luciano
7 Wu, Hsien-Chung
7 Yoon, Jin Hee
6 Altin, Yavuz
6 Andrianova, Olga G.
6 Ban, Adrian I.
6 Bassanezi, Rodney Carlos
6 de la Rosa de Sáa, Sara
6 Friedman, Menahem
6 Grzegorzewski, Przemysław
6 Liu, Puyin
6 Nasrabadi, Ebrahim
6 Näther, Wolfgang
6 Pehlivan, Serpil
6 Ralescu, Dan A.
6 Terán, Pedro
6 Vladimirov, Igor G.
5 Ahmadian, Ali
5 Akbari, Mohammad Ghasem
5 Băleanu, Dumitru I.
5 Buckley, James J.
5 Casals, María Rosa
5 Cecconello, Moiseis S.
5 Coppi, Renato
5 Couso, Inés
5 Fang, Jinxuan
5 García-Bárzana, Marta
5 Ghatee, Mehdi
5 Huang, Nan-Jing
5 Kapica, Rafał
5 Kim, Yun Kyong
5 Kratschmer, Volker
5 Li, Fachao
5 Lodwick, Weldon Alexander
5 Lupulescu, Vasile
5 Melliani, Said
5 Mursaleen, Mohammad
5 Papadopoulos, Basil K.
5 Pedrycz, Witold
5 Sanchis, Manuel
5 Santoro, Adriana
5 Shapiro, Arnold F.
...and 1,091 more Authors
all top 5

Cited in 214 Serials

291 Fuzzy Sets and Systems
89 Information Sciences
45 Soft Computing
30 Computers & Mathematics with Applications
30 Automation and Remote Control
25 International Journal of Approximate Reasoning
18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
17 Computational and Applied Mathematics
14 Journal of Mathematical Analysis and Applications
14 Applied Mathematics and Computation
13 Computational Statistics and Data Analysis
12 Chaos, Solitons and Fractals
12 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
10 Journal of Computational and Applied Mathematics
10 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
10 Fuzzy Optimization and Decision Making
10 Advances in Difference Equations
9 Applied Mathematics Letters
9 Mathematical and Computer Modelling
9 Abstract and Applied Analysis
9 Iranian Journal of Fuzzy Systems
8 International Journal of General Systems
8 Journal of Difference Equations and Applications
8 Journal of Intelligent and Fuzzy Systems
7 European Journal of Operational Research
7 Journal of Inequalities and Applications
7 Fixed Point Theory and Applications
6 Insurance Mathematics & Economics
6 Aequationes Mathematicae
6 Journal of Nonlinear Science and Applications
5 International Journal of Control
5 Journal of Optimization Theory and Applications
5 Systems & Control Letters
5 Applied Mathematical Modelling
5 International Journal of Computer Mathematics
5 Chaos
5 New Mathematics and Natural Computation
4 International Journal of Systems Science
4 Results in Mathematics
4 Dynamical Systems
4 Journal of Applied Mathematics
4 Advances in Fuzzy Systems
4 Journal of Function Spaces
4 Nonlinear Analysis. Theory, Methods & Applications
4 International Journal of Systems Science. Principles and Applications of Systems and Integration
3 Metrika
3 Automatica
3 Demonstratio Mathematica
3 International Journal of Mathematics and Mathematical Sciences
3 Mathematics and Computers in Simulation
3 Metron
3 Numerical Functional Analysis and Optimization
3 Topology and its Applications
3 Physica D
3 Journal of Dynamics and Differential Equations
3 Journal of Nonlinear Science
3 Journal of Applied Mathematics and Computing
3 Hacettepe Journal of Mathematics and Statistics
3 Boletim da Sociedade Paranaense de Matemática. Terceira Série
3 Advances in Data Analysis and Classification. ADAC
3 Symmetry
2 Bulletin of the Australian Mathematical Society
2 Journal of the Franklin Institute
2 Journal of Statistical Physics
2 Ukrainian Mathematical Journal
2 Journal of Differential Equations
2 Kybernetika
2 Mathematica Slovaca
2 Proceedings of the American Mathematical Society
2 Statistics & Probability Letters
2 Stochastic Analysis and Applications
2 Optimization
2 Computers & Operations Research
2 Journal of Theoretical Probability
2 Annals of Operations Research
2 Computational Statistics
2 Communications in Statistics. Simulation and Computation
2 Russian Mathematics
2 Test
2 Journal of Computer and Systems Sciences International
2 Fractals
2 Filomat
2 Mathematical Problems in Engineering
2 European Journal of Control
2 Doklady Mathematics
2 Optimization Methods & Software
2 Fractional Calculus & Applied Analysis
2 Communications in Nonlinear Science and Numerical Simulation
2 RAIRO. Operations Research
2 Qualitative Theory of Dynamical Systems
2 Differential Equations
2 Nonlinear Analysis. Real World Applications
2 Discrete and Continuous Dynamical Systems. Series B
2 Mathematical Geology
2 Stochastics and Dynamics
2 Journal of Statistical Theory and Practice
2 Discrete and Continuous Dynamical Systems. Series S
2 Bulletin of Mathematical Analysis and Applications
2 Advances in Mathematical Physics
2 Afrika Matematika
...and 114 more Serials
all top 5

Cited in 51 Fields

214 Statistics (62-XX)
208 Real functions (26-XX)
186 Ordinary differential equations (34-XX)
185 Mathematical logic and foundations (03-XX)
99 Dynamical systems and ergodic theory (37-XX)
99 Probability theory and stochastic processes (60-XX)
94 Systems theory; control (93-XX)
91 Operations research, mathematical programming (90-XX)
86 General topology (54-XX)
78 Numerical analysis (65-XX)
60 Computer science (68-XX)
58 Measure and integration (28-XX)
57 Functional analysis (46-XX)
56 Sequences, series, summability (40-XX)
48 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
38 Difference and functional equations (39-XX)
38 Operator theory (47-XX)
30 Calculus of variations and optimal control; optimization (49-XX)
29 Biology and other natural sciences (92-XX)
22 Approximations and expansions (41-XX)
21 Integral equations (45-XX)
18 Information and communication theory, circuits (94-XX)
15 Convex and discrete geometry (52-XX)
13 Partial differential equations (35-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
7 General algebraic systems (08-XX)
7 Geophysics (86-XX)
6 Integral transforms, operational calculus (44-XX)
4 Number theory (11-XX)
3 Combinatorics (05-XX)
3 Topological groups, Lie groups (22-XX)
3 Differential geometry (53-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 General and overarching topics; collections (00-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Category theory; homological algebra (18-XX)
2 Potential theory (31-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Fluid mechanics (76-XX)
1 History and biography (01-XX)
1 Associative rings and algebras (16-XX)
1 Group theory and generalizations (20-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Abstract harmonic analysis (43-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Mechanics of deformable solids (74-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Mathematics education (97-XX)

Citations by Year