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Diamond, Phil

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 Author ID: diamond.phil Published as: Diamond, P.; Diamond, Phil
 Documents Indexed: 111 Publications since 1971, including 2 Books Reviewing Activity: 1 Review
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Co-Authors

 35 single-authored 46 Kloeden, Peter Eris 34 Pokrovskiĭ, Alexeĭ Vadimovich 13 Kozyakin, Viktor Sergeevich 9 Vladimirov, Igor G. 5 Vladimirov, Aleksandr Aleksandrovich 4 Opoitsev, Valery 3 Bulatov, Alexander V. 3 Krasnosel’skiĭ, Mark Aleksandrovich 2 Bobylev, Nikolaĭ Antonovich 2 Fomenko, Igor V. 2 Ramer, Arthur 1 Al-Nayef, Anwar A. 1 Asarin, E. A. 1 Bryant, Darryn E. 1 Han, Yinghao 1 Hiller, John R. 1 Klemm, Anthony D. 1 Krasnosel’skiĭ, Aleksandr Markovich 1 Kurdjukov, A. P. 1 Lee, Keonhee 1 Padet, Colette 1 Pokrovskii, P. 1 Rubinov, Alexander M. 1 Semyonov, A. V. 1 Suzuki, Michitaka 1 Tanaka, Hideo
all top 5

Serials

 11 Fuzzy Sets and Systems 7 International Journal of Control 7 Journal of Mathematical Analysis and Applications 5 Bulletin of the Australian Mathematical Society 5 Automation and Remote Control 4 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 Mathematics and Computers in Simulation 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 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 AIMS Series on Random and Computational Dynamics
all top 5

Fields

 39 Dynamical systems and ergodic theory (37-XX) 24 Systems theory; control (93-XX) 16 Numerical analysis (65-XX) 14 General topology (54-XX) 12 Ordinary differential equations (34-XX) 11 Probability theory and stochastic processes (60-XX) 9 Mathematical logic and foundations (03-XX) 8 Difference and functional equations (39-XX) 8 Operator theory (47-XX) 8 Computer science (68-XX) 7 Statistics (62-XX) 6 Biology and other natural sciences (92-XX) 5 Convex and discrete geometry (52-XX) 5 Information and communication theory, circuits (94-XX) 4 Real functions (26-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Operations research, mathematical programming (90-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Measure and integration (28-XX) 2 Functional analysis (46-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Mechanics of particles and systems (70-XX)

Citations contained in zbMATH

86 Publications have been cited 1,344 times in 921 Documents Cited by Year
Metric spaces of fuzzy sets: theory and applications. Zbl 0873.54019
Diamond, Phil; Kloeden, Peter
1994
Fuzzy least squares. Zbl 0663.65150
Diamond, Phil
1988
Metric spaces of fuzzy sets. Zbl 0704.54006
Diamond, Phil; Kloeden, Peter
1990
Multivalued spatial discretization of dynamical systems. Zbl 0843.54041
Diamond, P.; Pokrovskij, A.; Kloeden, P.
1994
Characterization of compact subsets of fuzzy sets. Zbl 0661.54011
Diamond, Phil; Kloeden, Peter
1989
Brief note on the variation of constants formula for fuzzy differential equations. Zbl 1021.34048
Diamond, Phil
2002
Extended fuzzy linear models and least squares estimates. Zbl 0936.62073
Diamond, P.; Körner, R.
1997
Regularity of solution sets for differential inclusions quasi-concave in a parameter. Zbl 0944.34008
Diamond, P.; Watson, P.
2000
Anisotropy-based performance analysis of linear discrete time invariant control systems. Zbl 1008.93031
Diamond, P.; Vladimirov, I.; Kurdjukov, A.; Semyonov, A.
2001
Least squares fitting of compact set-valued data. Zbl 0704.65006
Diamond, Phil
1990
Anisotropy-based robust performance analysis of finite horizon linear discrete time varying systems. Zbl 1194.93052
Vladimirov, I. G.; Diamond, P.; Kloeden, P.
2006
Theory and applications of fuzzy Volterra integral equations. Zbl 1142.45302
Diamond, P.
2002
Fuzzy regression analysis. Zbl 0922.62058
Diamond, Phil; Tanaka, Hideo
1998
Chaotic behaviour of systems of difference equations. Zbl 0336.93004
Diamond, Phil
1976
Chaos, entropy and a generalized extension principle. Zbl 0827.58037
Diamond, Phil; Pokrovskii, Aleksej
1994
Metric topology of fuzzy numbers and fuzzy analysis. Zbl 0988.26019
Diamond, Phil; Kloeden, Peter
2000
Comparative properties of three metrics in the space of compact convex sets. Zbl 0895.90151
Diamond, Phil; Kloeden, Peter; Rubinov, Alexander; Vladimirov, Alexander
1997
Absolute retracts and a general fixed point theorem for fuzzy sets. Zbl 0917.54045
Diamond, Phil; Kloeden, Peter; Pokrovskii, Aleksej
1997
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.
1995
Stability of large cycles in a nonsmooth problem with Hopf bifurcation at infinity. Zbl 0963.34034
Diamond, P.; Rachinskii, D.; Yumagulov, M.
2000
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
1996
Interval stochastic matrices and simulation of chaotic dynamics. Zbl 0811.58042
Diamond, P.; Kloeden, P.; Prokrovskij, A.
1994
Least squares and maximum likelihood regression for fuzzy linear models. Zbl 0778.62059
Diamond, Phil
1992
Metric spaces of fuzzy sets: Corrigendum. Zbl 0747.54004
Diamond, Phil; Kloeden, Peter
1992
A note on fuzzy starshaped fuzzy sets. Zbl 0702.54008
Diamond, Phil
1990
Fuzzy kriging. Zbl 0679.62088
Diamond, Phil
1989
A stochastic functional equation. Zbl 0359.39001
Diamond, Phil
1977
Semihyperbolic mappings. Zbl 0855.58044
Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A.
1995
Spatial discretization of mappings. Zbl 0774.65055
Diamond, Phil; Kloeden, Peter
1993
On the Hopf bifurcation in control systems with a bounded nonlinearity asymptotically homogeneous at infinity. Zbl 0984.34029
Diamond, P.; Kuznetsov, N.; Rachinskii, D.
2001
Dual cones in spaces of convex sets and fuzzy sets. Zbl 0874.90194
Diamond, Phil; Vladimirov, A.; Kloeden, P.
1995
Expansivity of semi-hyperbolic Lipschitz mappings. Zbl 0826.58028
Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A.
1995
Chaos in iterated fuzzy systems. Zbl 0830.54006
Diamond, Phil
1994
Statistical properties of discretizations of a class of chaotic dynamical systems. Zbl 0854.34043
Diamond, P.; Suzuki, M.; Kloeden, P.; Pokrovskii, P.
1996
Computer robustness of semi-hyperbolic mappings. Zbl 0849.58051
Diamond, Phil; Kloeden, Peter; Kozyakin, Victor; Pokrovskii, Alexej
1995
An invariant measure arising in computer simulation of a chaotic dynamical system. Zbl 0789.58044
Diamond, P.; Kloeden, P.; Pokrovskii, A.
1994
Approximation of knowledge and fuzzy sets. Zbl 0788.68137
Diamond, Phil; Ramer, Arthur
1993
Diamond, Phil; Lee, Keonhee; Han, Yinghao
2002
A fuzzy max-flow min-cut theorem. Zbl 1044.90531
Diamond, Phil
2001
Boundedness and dissipativity of truncated rotations on uniform planar lattices. Zbl 0903.65063
Diamond, Phil; Kloeden, Peter; Kozyakin, Victor; Pokrovskii, Alexej
1998
Statistical laws for computational collapse of discretized chaotic mappings. Zbl 1298.37073
Diamond, Phil; Pokrovskii, Alexei
1996
Bi-shadowing and delay equations. Zbl 0854.34064
Al-Nayef, A.; Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskij, A.
1996
A note on compact sets in spaces of subsets. Zbl 0643.54013
Diamond, Phil; Kloeden, Peter
1988
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
2003
Real structural stability radius of infinite-dimensional linear systems: Its estimate. Zbl 1090.93551
Bulatov, A. V.; Diamond, P.
2002
Absolute stability of positive systems with differential constraints. Zbl 1002.93047
Diamond, Phil; Opoitsev, Valery
2000
Interval stochastic matrices: A combinatorial lemma and the computation of invariant measures of dynamical systems. Zbl 0827.60055
Diamond, Phil; Kloeden, Peter; Pokrovskii, Aleksej
1995
Weakly chain recurrent points and spatial discretizations of dynamical systems. Zbl 0806.58028
Diamond, Phil; Kloeden, Peter; Pokrovskii, Alexej
1994
Interval-valued random functions and the kriging of intervals. Zbl 0970.86500
Diamond, Phil
1988
An easily computable estimate for the real unstructured $$F$$-stability radius. Zbl 0982.93058
Bobylev, Nikolai; Bulatov, A.; Diamond, Phil
1999
Monotonic dynamical systems under spatial discretization. Zbl 0903.58017
Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A.
1998
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.
1997
Robustness of dynamical systems to a class of nonsmooth perturbations. Zbl 0849.58059
Diamond, P.; Kloeden, P.; Kozyakin, V.; Krasnosel’skij, M.; Pokrovskii, A.
1996
Higher level fuzzy numbers arising from fuzzy regression models. Zbl 0697.62063
Diamond, Phil
1990
Class of discrete Liapunov functions. Zbl 0302.34060
Diamond, Phil
1975
Diamond, Phil; Kloeden, Peter; Kozyakin, Victor; Pokrovskii, Alexei
2012
Set-valued Markov chains and negative semitrajectories of discretized dynamical systems. Zbl 1029.37054
2002
Stability of linear difference and differential inclusions. Zbl 1082.34509
Diamond, P.; Opojtsev, V. I.
2001
Estimates of the real structured radius of stability of linear dynamic systems. Zbl 1092.93581
Bobylev, N. A.; Bulatov, A. V.; Diamond, Phil
2001
Asymptotic independence and uniform distribution of quantization errors for spatially discretized dynamical systems. Zbl 0948.37057
1998
Total uncertainty revisited. Zbl 0888.68110
Ramer, Arthur; Hiller, John; Diamond, Phil; Padet, Colette
1997
Analysis of an algorithm for computing invariant measures. Zbl 0826.58022
Diamond, Phil; Kloeden, Peter; Pokrovskij, Alexej
1995
Numerical modeling of toroidal dynamical systems with invariant Lebesgue measure. Zbl 0821.65053
Diamond, Phil; Kloeden, Peter; Pokrovskij, Alexej
1993
Congruence classes of fuzzy sets form a Banach space. Zbl 0769.46057
Diamond, Phil
1991
Nonlinear integral operators and chaos in Banach spaces. Zbl 0605.45013
Diamond, Phil
1987
The stability of the interaction between entomophagous parasites and their host. Zbl 0272.92006
Diamond, Phil
1974
Semi-hyperbolicity and bi-shadowing in nonautonomous difference equations with Lipschitz mappings. Zbl 1154.39022
Diamond, Phil; Kloeden, P. E.; Kozyakin, V. S.
2008
Stability of a class of differential inclusions. Zbl 1010.34003
Diamond, Phil; Opoitsev, Valery
2001
Higher-order terms in asymptotic expansion for information loss in quantized random processes. Zbl 0992.94021
2001
Stability of nonlinear difference inclusions. Zbl 0989.39005
Diamond, Phil; Opoitsev, Valery
2001
Spikes, broken planes and the approximation of convex fuzzy sets. Zbl 0981.54008
Diamond, Phil; Kloeden, Peter; Vladimirov, Alexander
1998
Chaos and fuzzy systems. Zbl 0921.93026
Diamond, Phil
1998
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.
1997
The minimal center of attraction of measurable systems and their discretizations. Zbl 0852.58061
Diamond, Phil; Kloeden, Peter; Pokrovskij, Aleksej
1996
Robustness of the observable behavior of semihyperbolic dynamic systems. Zbl 0931.93029
Diamond, P.; Kloeden, P.; Kozyakin, V. S.; Pokrovskij, A. V.
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.
1995
On the fragmentary complexity of symbolic sequences. Zbl 0873.68120
Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A.
1995
Cycles of spatial discretizations of shadowing dynamical systems. Zbl 0817.58021
Diamond, Phil; Kloeden, Peter; Pokrovskij, Aleksej
1995
Shadowing and approximation in dynamical systems. Zbl 0856.58032
Diamond, P.; Kloeden, P.; Pokrovskij, A.
1994
Chaotic phenomena in desynchronized systems and stability analysis. Zbl 0774.93057
Asarin, E.; Diamond, Phil; Fomenko, I.; Pokrovskij, A.
1993
Iterated maps on discretized meshes of the unit interval. Zbl 0725.65069
Diamond, Phil
1991
Fixed points of iterates of multivalued mappings. Zbl 0689.47018
Diamond, Phil
1989
Slowly varying functions of two variables and a Tauberian theorem for the double Laplace transform. Zbl 0586.44004
Diamond, Phil
1987
Regions of local stability for non-autonomous discrete systems. Zbl 0378.93036
Diamond, Phil
1978
Stochastic exponential stability concepts and large-scale discrete systems. Zbl 0312.93046
Diamond, Phil
1975
Fractional iteration and a generalised Abel’s equation in two variables. Zbl 0215.40903
Diamond, Phil
1971
Diamond, Phil; Kloeden, Peter; Kozyakin, Victor; Pokrovskii, Alexei
2012
Semi-hyperbolicity and bi-shadowing in nonautonomous difference equations with Lipschitz mappings. Zbl 1154.39022
Diamond, Phil; Kloeden, P. E.; Kozyakin, V. S.
2008
Anisotropy-based robust performance analysis of finite horizon linear discrete time varying systems. Zbl 1194.93052
Vladimirov, I. G.; Diamond, P.; Kloeden, P.
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
2003
Brief note on the variation of constants formula for fuzzy differential equations. Zbl 1021.34048
Diamond, Phil
2002
Theory and applications of fuzzy Volterra integral equations. Zbl 1142.45302
Diamond, P.
2002
Diamond, Phil; Lee, Keonhee; Han, Yinghao
2002
Real structural stability radius of infinite-dimensional linear systems: Its estimate. Zbl 1090.93551
Bulatov, A. V.; Diamond, P.
2002
Set-valued Markov chains and negative semitrajectories of discretized dynamical systems. Zbl 1029.37054
2002
Anisotropy-based performance analysis of linear discrete time invariant control systems. Zbl 1008.93031
Diamond, P.; Vladimirov, I.; Kurdjukov, A.; Semyonov, A.
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.
2001
A fuzzy max-flow min-cut theorem. Zbl 1044.90531
Diamond, Phil
2001
Stability of linear difference and differential inclusions. Zbl 1082.34509
Diamond, P.; Opojtsev, V. I.
2001
Estimates of the real structured radius of stability of linear dynamic systems. Zbl 1092.93581
Bobylev, N. A.; Bulatov, A. V.; Diamond, Phil
2001
Stability of a class of differential inclusions. Zbl 1010.34003
Diamond, Phil; Opoitsev, Valery
2001
Higher-order terms in asymptotic expansion for information loss in quantized random processes. Zbl 0992.94021
2001
Stability of nonlinear difference inclusions. Zbl 0989.39005
Diamond, Phil; Opoitsev, Valery
2001
Regularity of solution sets for differential inclusions quasi-concave in a parameter. Zbl 0944.34008
Diamond, P.; Watson, P.
2000
Metric topology of fuzzy numbers and fuzzy analysis. Zbl 0988.26019
Diamond, Phil; Kloeden, Peter
2000
Stability of large cycles in a nonsmooth problem with Hopf bifurcation at infinity. Zbl 0963.34034
Diamond, P.; Rachinskii, D.; Yumagulov, M.
2000
Absolute stability of positive systems with differential constraints. Zbl 1002.93047
Diamond, Phil; Opoitsev, Valery
2000
An easily computable estimate for the real unstructured $$F$$-stability radius. Zbl 0982.93058
Bobylev, Nikolai; Bulatov, A.; Diamond, Phil
1999
Fuzzy regression analysis. Zbl 0922.62058
Diamond, Phil; Tanaka, Hideo
1998
Boundedness and dissipativity of truncated rotations on uniform planar lattices. Zbl 0903.65063
Diamond, Phil; Kloeden, Peter; Kozyakin, Victor; Pokrovskii, Alexej
1998
Monotonic dynamical systems under spatial discretization. Zbl 0903.58017
Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A.
1998
Asymptotic independence and uniform distribution of quantization errors for spatially discretized dynamical systems. Zbl 0948.37057
1998
Spikes, broken planes and the approximation of convex fuzzy sets. Zbl 0981.54008
Diamond, Phil; Kloeden, Peter; Vladimirov, Alexander
1998
Chaos and fuzzy systems. Zbl 0921.93026
Diamond, Phil
1998
Extended fuzzy linear models and least squares estimates. Zbl 0936.62073
Diamond, P.; Körner, R.
1997
Comparative properties of three metrics in the space of compact convex sets. Zbl 0895.90151
Diamond, Phil; Kloeden, Peter; Rubinov, Alexander; Vladimirov, Alexander
1997
Absolute retracts and a general fixed point theorem for fuzzy sets. Zbl 0917.54045
Diamond, Phil; Kloeden, Peter; Pokrovskii, Aleksej
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.
1997
Total uncertainty revisited. Zbl 0888.68110
Ramer, Arthur; Hiller, John; Diamond, Phil; Padet, Colette
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.
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
1996
Statistical properties of discretizations of a class of chaotic dynamical systems. Zbl 0854.34043
Diamond, P.; Suzuki, M.; Kloeden, P.; Pokrovskii, P.
1996
Statistical laws for computational collapse of discretized chaotic mappings. Zbl 1298.37073
Diamond, Phil; Pokrovskii, Alexei
1996
Bi-shadowing and delay equations. Zbl 0854.34064
Al-Nayef, A.; Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskij, A.
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.
1996
The minimal center of attraction of measurable systems and their discretizations. Zbl 0852.58061
Diamond, Phil; Kloeden, Peter; Pokrovskij, Aleksej
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.
1995
Semihyperbolic mappings. Zbl 0855.58044
Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A.
1995
Dual cones in spaces of convex sets and fuzzy sets. Zbl 0874.90194
Diamond, Phil; Vladimirov, A.; Kloeden, P.
1995
Expansivity of semi-hyperbolic Lipschitz mappings. Zbl 0826.58028
Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A.
1995
Computer robustness of semi-hyperbolic mappings. Zbl 0849.58051
Diamond, Phil; Kloeden, Peter; Kozyakin, Victor; Pokrovskii, Alexej
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
1995
Analysis of an algorithm for computing invariant measures. Zbl 0826.58022
Diamond, Phil; Kloeden, Peter; Pokrovskij, Alexej
1995
Robustness of the observable behavior of semihyperbolic dynamic systems. Zbl 0931.93029
Diamond, P.; Kloeden, P.; Kozyakin, V. S.; Pokrovskij, A. V.
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.
1995
On the fragmentary complexity of symbolic sequences. Zbl 0873.68120
Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A.
1995
Cycles of spatial discretizations of shadowing dynamical systems. Zbl 0817.58021
Diamond, Phil; Kloeden, Peter; Pokrovskij, Aleksej
1995
Metric spaces of fuzzy sets: theory and applications. Zbl 0873.54019
Diamond, Phil; Kloeden, Peter
1994
Multivalued spatial discretization of dynamical systems. Zbl 0843.54041
Diamond, P.; Pokrovskij, A.; Kloeden, P.
1994
Chaos, entropy and a generalized extension principle. Zbl 0827.58037
Diamond, Phil; Pokrovskii, Aleksej
1994
Interval stochastic matrices and simulation of chaotic dynamics. Zbl 0811.58042
Diamond, P.; Kloeden, P.; Prokrovskij, A.
1994
Chaos in iterated fuzzy systems. Zbl 0830.54006
Diamond, Phil
1994
An invariant measure arising in computer simulation of a chaotic dynamical system. Zbl 0789.58044
Diamond, P.; Kloeden, P.; Pokrovskii, A.
1994
Weakly chain recurrent points and spatial discretizations of dynamical systems. Zbl 0806.58028
Diamond, Phil; Kloeden, Peter; Pokrovskii, Alexej
1994
Shadowing and approximation in dynamical systems. Zbl 0856.58032
Diamond, P.; Kloeden, P.; Pokrovskij, A.
1994
Spatial discretization of mappings. Zbl 0774.65055
Diamond, Phil; Kloeden, Peter
1993
Approximation of knowledge and fuzzy sets. Zbl 0788.68137
Diamond, Phil; Ramer, Arthur
1993
Numerical modeling of toroidal dynamical systems with invariant Lebesgue measure. Zbl 0821.65053
Diamond, Phil; Kloeden, Peter; Pokrovskij, Alexej
1993
Chaotic phenomena in desynchronized systems and stability analysis. Zbl 0774.93057
Asarin, E.; Diamond, Phil; Fomenko, I.; Pokrovskij, A.
1993
Least squares and maximum likelihood regression for fuzzy linear models. Zbl 0778.62059
Diamond, Phil
1992
Metric spaces of fuzzy sets: Corrigendum. Zbl 0747.54004
Diamond, Phil; Kloeden, Peter
1992
Congruence classes of fuzzy sets form a Banach space. Zbl 0769.46057
Diamond, Phil
1991
Iterated maps on discretized meshes of the unit interval. Zbl 0725.65069
Diamond, Phil
1991
Metric spaces of fuzzy sets. Zbl 0704.54006
Diamond, Phil; Kloeden, Peter
1990
Least squares fitting of compact set-valued data. Zbl 0704.65006
Diamond, Phil
1990
A note on fuzzy starshaped fuzzy sets. Zbl 0702.54008
Diamond, Phil
1990
Higher level fuzzy numbers arising from fuzzy regression models. Zbl 0697.62063
Diamond, Phil
1990
Characterization of compact subsets of fuzzy sets. Zbl 0661.54011
Diamond, Phil; Kloeden, Peter
1989
Fuzzy kriging. Zbl 0679.62088
Diamond, Phil
1989
Fixed points of iterates of multivalued mappings. Zbl 0689.47018
Diamond, Phil
1989
Fuzzy least squares. Zbl 0663.65150
Diamond, Phil
1988
A note on compact sets in spaces of subsets. Zbl 0643.54013
Diamond, Phil; Kloeden, Peter
1988
Interval-valued random functions and the kriging of intervals. Zbl 0970.86500
Diamond, Phil
1988
Nonlinear integral operators and chaos in Banach spaces. Zbl 0605.45013
Diamond, Phil
1987
Slowly varying functions of two variables and a Tauberian theorem for the double Laplace transform. Zbl 0586.44004
Diamond, Phil
1987
Regions of local stability for non-autonomous discrete systems. Zbl 0378.93036
Diamond, Phil
1978
A stochastic functional equation. Zbl 0359.39001
Diamond, Phil
1977
Chaotic behaviour of systems of difference equations. Zbl 0336.93004
Diamond, Phil
1976
Class of discrete Liapunov functions. Zbl 0302.34060
Diamond, Phil
1975
Stochastic exponential stability concepts and large-scale discrete systems. Zbl 0312.93046
Diamond, Phil
1975
The stability of the interaction between entomophagous parasites and their host. Zbl 0272.92006
Diamond, Phil
1974
Fractional iteration and a generalised Abel’s equation in two variables. Zbl 0215.40903
Diamond, Phil
1971
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Cited by 1,010 Authors

 35 Diamond, Phil 27 Kloeden, Peter Eris 24 Colubi, Ana 24 Wu, Congxin 20 Chalco-Cano, Yurilev 18 Pokrovskiĭ, Alexeĭ Vadimovich 17 Gil, María Angeles 17 Gong, Zengtai 17 Khastan, Alireza 17 Rodríguez-López, Rosana 16 González-Rodríguez, Gil 16 Kurdyukov, Alexander P. 16 Nieto Roig, Juan Jose 16 Román-Flores, Heriberto E. 14 Allahviranloo, Tofigh 13 Coroianu, Lucian C. 13 Huang, Huan 13 Malinowski, Marek T. 12 Abbasbandy, Saeid 12 D’Urso, Pierpaolo 12 Feng, Yuhu 12 Qiu, Dong 11 Blanco-Fernández, Angela 11 Savaş, Ekrem 11 Syau, Yu-Ru 10 Bede, Barnabás 10 Kandel, Abraham 9 Hong, Dug Hun 9 Kozyakin, Viktor Sergeevich 9 Kupka, Jiří 9 Lubiano, María Asunción 9 Ma, Ming 8 Et, Mikail 8 López-Díaz, Miguel 8 Montenegro, Manuel 8 O’Regan, Donal 8 Sinova, Beatriz 8 Tchaikovsky, Michael M. 8 Yoshida, Yuji 7 Agarwal, Ravi P. 7 Altinok, Hifsi 7 Aytar, Salih 7 Chen, Minghao 7 Lakshmikantham, Vangipuram 7 Michta, Mariusz 7 Ramos-Guajardo, Ana Belén 7 Rojas-Medar, Marko Antonio 7 Shao, Yabin 7 Stefanini, Luciano 7 Timin, Victor N. 7 Wu, Hsien-Chung 7 Xue, Xiaoping 7 Yoon, Jin Hee 6 Ban, Adrian I. 6 Bassanezi, Rodney Carlos 6 Bica, Alexandru Mihai 6 Çolak, Rifat 6 de la Rosa de Sáa, Sara 6 Friedman, Menahem 6 Ghatee, Mehdi 6 Kustov, Arkadiy Yu. 6 Lee, E. Stanley 6 Liu, Puyin 6 Mondal, Sankar Prasad 6 Nasrabadi, Ebrahim 6 Näther, Wolfgang 6 Pedrycz, Witold 6 Pehlivan, Serpil 6 Ralescu, Dan A. 6 Salahshour, Soheil 6 Vladimirov, Igor G. 5 Andrianova, Olga G. 5 Buckley, James J. 5 Cecconello, Moiseis S. 5 Coppi, Renato 5 Couso, Inés 5 Fang, Jinxuan 5 García-Bárzana, Marta 5 Grzegorzewski, Przemysław 5 Hashemi, S. Mehdi 5 Hesamian, Gholamreza 5 Kim, Yun Kyong 5 Kratschmer, Volker 5 Li, Fachao 5 Rachinskii, Dmitrii I. 5 Rufián-Lizana, Antonio 5 Santoro, Adriana 5 Shapiro, Arnold F. 5 Terán, Pedro 5 Wang, Guixiang 4 Akbari, Mohammad Ghasem 4 Al-Nayef, Anwar A. 4 Aliev, Rafik Aziz 4 Altin, Yavuz 4 Andres, Jan 4 Apaydın, Ayşen 4 Baier, Robert 4 Boukezzoula, Reda 4 Casals, María Rosa 4 Choi, Seung Hoe ...and 910 more Authors
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Cited in 171 Serials

 267 Fuzzy Sets and Systems 71 Information Sciences 36 Soft Computing 29 Computers & Mathematics with Applications 24 International Journal of Approximate Reasoning 24 Automation and Remote Control 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 Journal of Mathematical Analysis and Applications 15 Computational Statistics and Data Analysis 14 Applied Mathematics and Computation 13 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 10 Chaos, Solitons and Fractals 10 Mathematical and Computer Modelling 9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 9 Fuzzy Optimization and Decision Making 8 International Journal of General Systems 8 Journal of Computational and Applied Mathematics 8 Applied Mathematics Letters 8 Journal of Difference Equations and Applications 8 Journal of Intelligent and Fuzzy Systems 8 Iranian Journal of Fuzzy Systems 7 Computational and Applied Mathematics 7 Abstract and Applied Analysis 7 Journal of Nonlinear Science and Applications 6 Insurance Mathematics & Economics 6 European Journal of Operational Research 6 Journal of Inequalities and Applications 6 Fixed Point Theory and Applications 6 Advances in Difference Equations 5 International Journal of Control 5 Systems & Control Letters 5 Aequationes Mathematicae 5 Nonlinear Analysis. Theory, Methods & Applications 4 International Journal of Systems Science 4 Journal of Optimization Theory and Applications 4 Physica D 4 Applied Mathematical Modelling 4 International Journal of Computer Mathematics 4 Chaos 4 Journal of Applied Mathematics 4 New Mathematics and Natural Computation 3 Metrika 3 International Journal of Mathematics and Mathematical Sciences 3 Journal of Differential Equations 3 Metron 3 Proceedings of the American Mathematical Society 3 Results in Mathematics 3 Statistics & Probability Letters 3 Journal of Nonlinear Science 3 Dynamical Systems 3 Journal of Applied Mathematics and Computing 3 Advances in Data Analysis and Classification. ADAC 3 Advances in Fuzzy Systems 3 Symmetry 2 Bulletin of the Australian Mathematical Society 2 Journal of the Franklin Institute 2 Journal of Statistical Physics 2 Mathematical Biosciences 2 Automatica 2 Journal of Statistical Planning and Inference 2 Kybernetika 2 Mathematics and Computers in Simulation 2 Stochastic Analysis and Applications 2 Optimization 2 Computers & Operations Research 2 Economics Letters 2 Computational Statistics 2 Journal of Dynamics and Differential Equations 2 Test 2 Journal of Computer and Systems Sciences International 2 Mathematical Problems in Engineering 2 Journal of Applied Analysis 2 Doklady Mathematics 2 Optimization Methods & Software 2 Differential Equations 2 Nonlinear Analysis. Real World Applications 2 Mathematical Geology 2 Stochastics and Dynamics 2 Boletim da Sociedade Paranaense de Matemática. Terceira Série 2 Journal of Statistical Theory and Practice 2 Advances in Mathematical Physics 2 Journal of Linear and Topological Algebra 2 Journal of Function Spaces 1 Applicable Analysis 1 Ukrainian Mathematical Journal 1 Annals of the Institute of Statistical Mathematics 1 Computing 1 Demonstratio Mathematica 1 Functional Analysis and its Applications 1 Journal of Approximation Theory 1 Journal of Mathematical Economics 1 Journal of Soviet Mathematics 1 Numerical Functional Analysis and Optimization 1 Opsearch 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 SIAM Journal on Control and Optimization 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 Cybernetics and Systems 1 Ergodic Theory and Dynamical Systems ...and 71 more Serials
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Cited in 44 Fields

 189 Statistics (62-XX) 162 Mathematical logic and foundations (03-XX) 162 Real functions (26-XX) 150 Ordinary differential equations (34-XX) 88 Dynamical systems and ergodic theory (37-XX) 80 Probability theory and stochastic processes (60-XX) 79 Systems theory; control (93-XX) 78 Operations research, mathematical programming (90-XX) 75 Numerical analysis (65-XX) 74 General topology (54-XX) 61 Computer science (68-XX) 48 Measure and integration (28-XX) 44 Sequences, series, summability (40-XX) 42 Functional analysis (46-XX) 41 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 31 Operator theory (47-XX) 27 Difference and functional equations (39-XX) 27 Biology and other natural sciences (92-XX) 24 Integral equations (45-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 17 Approximations and expansions (41-XX) 15 Information and communication theory, circuits (94-XX) 13 Convex and discrete geometry (52-XX) 10 Partial differential equations (35-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 6 General algebraic systems (08-XX) 5 Geophysics (86-XX) 3 Combinatorics (05-XX) 3 Integral transforms, operational calculus (44-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Number theory (11-XX) 2 Topological groups, Lie groups (22-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX)