## Diamond, Phil

Compute Distance To:
 Author ID: 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 657 Co-Co-Authors
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### Co-Authors

 36 single-authored 46 Kloeden, Peter Eris 34 Pokrovskiĭ, Alexeĭ Vadimovich 13 Kozyakin, Viktor Sergeevich 9 Vladimirov, Igor G. 5 Opojtsev, V. I. 5 Vladimirov, Aleksandr Aleksandrovich 3 Bulatov, Alexander V. 3 Krasnosel’skiĭ, Mark Aleksandrovich 2 Bobylev, Nikolaĭ Antonovich 2 Fomenko, Igor V. 2 Rachinskii, Dmitrii I. 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 Desmond 1 Körner, Ralf 1 Krasnosel’skiĭ, Aleksandr Markovich 1 Kurdjukov, A. P. 1 Kuznetsov, Nikolai Aleksandrovich 1 Lee, Keonhee 1 Padet, Colette 1 Pokrovskii, P. 1 Rubinov, Alexander M. 1 Semyonov, A. V. 1 Tanaka, Hideo 1 Yumagulov, Marat Gayazovich
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
all top 5

### Fields

 39 Dynamical systems and ergodic theory (37-XX) 24 Systems theory; control (93-XX) 16 Ordinary differential equations (34-XX) 16 Numerical analysis (65-XX) 14 General topology (54-XX) 10 Probability theory and stochastic processes (60-XX) 9 Mathematical logic and foundations (03-XX) 9 Difference and functional equations (39-XX) 8 Operator theory (47-XX) 8 Statistics (62-XX) 8 Computer science (68-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 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of particles and systems (70-XX)

### Citations contained in zbMATH Open

86 Publications have been cited 1,262 times in 904 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
Multivalued spatial discretization of dynamical systems. Zbl 0843.54041
Diamond, P.; Pokrovskij, A.; Kloeden, P.
1994
Metric spaces of fuzzy sets. Zbl 0704.54006
Diamond, Phil; Kloeden, Peter
1990
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
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
Least squares fitting of compact set-valued data. Zbl 0704.65006
Diamond, Phil
1990
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
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
Absolute retracts and a general fixed point theorem for fuzzy sets. Zbl 0917.54045
Diamond, Phil; Kloeden, Peter; Pokrovskii, Aleksej
1997
Fuzzy kriging. Zbl 0679.62088
Diamond, Phil
1989
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
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
A note on fuzzy starshaped fuzzy sets. Zbl 0702.54008
Diamond, Phil
1990
A stochastic functional equation. Zbl 0359.39001
Diamond, Phil
1977
Semihyperbolic mappings. Zbl 0855.58044
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
Spatial discretization of mappings. Zbl 0774.65055
Diamond, Phil; Kloeden, Peter
1993
Expansivity of semi-hyperbolic Lipschitz mappings. Zbl 0826.58028
Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A.
1995
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
Chaos in iterated fuzzy systems. Zbl 0830.54006
Diamond, Phil
1994
Dual cones in spaces of convex sets and fuzzy sets. Zbl 0874.90194
Diamond, Phil; Vladimirov, A.; Kloeden, P.
1995
Statistical properties of discretizations of a class of chaotic dynamical systems. Zbl 0854.34043
Diamond, P.; Suzuki, M.; Kloeden, P.; Pokrovskii, P.
1996
Approximation of knowledge and fuzzy sets. Zbl 0788.68137
Diamond, Phil; Ramer, Arthur
1993
Boundedness and dissipativity of truncated rotations on uniform planar lattices. Zbl 0903.65063
Diamond, Phil; Kloeden, Peter; Kozyakin, Victor; Pokrovskii, Alexej
1998
Bi-shadowing and delay equations. Zbl 0854.34064
Al-Nayef, A.; Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskij, A.
1996
Statistical laws for computational collapse of discretized chaotic mappings. Zbl 1298.37073
Diamond, Phil; Pokrovskii, Alexei
1996
A note on compact sets in spaces of subsets. Zbl 0643.54013
Diamond, Phil; Kloeden, Peter
1988
A fuzzy max-flow min-cut theorem. Zbl 1044.90531
Diamond, Phil
2001
Interval-valued random functions and the kriging of intervals. Zbl 0970.86500
Diamond, Phil
1988
An invariant measure arising in computer simulation of a chaotic dynamical system. Zbl 0789.58044
Diamond, P.; Kloeden, P.; Pokrovskii, A.
1994
Diamond, Phil; Lee, Keonhee; Han, Yinghao
2002
Absolute stability of positive systems with differential constraints. Zbl 1002.93047
Diamond, Phil; Opoitsev, Valery
2000
Weakly chain recurrent points and spatial discretizations of dynamical systems. Zbl 0806.58028
Diamond, Phil; Kloeden, Peter; Pokrovskii, Alexej
1994
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
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
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
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
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
Estimates of the real structured radius of stability of linear dynamic systems. Zbl 1092.93581
Bobylev, N. A.; Bulatov, A. V.; Diamond, Phil
2001
Class of discrete Liapunov functions. Zbl 0302.34060
Diamond, Phil
1975
Congruence classes of fuzzy sets form a Banach space. Zbl 0769.46057
Diamond, Phil
1991
Asymptotic independence and uniform distribution of quantization errors for spatially discretized dynamical systems. Zbl 0948.37057
1998
Numerical modeling of toroidal dynamical systems with invariant Lebesgue measure. Zbl 0821.65053
Diamond, Phil; Kloeden, Peter; Pokrovskij, Alexej
1993
Analysis of an algorithm for computing invariant measures. Zbl 0826.58022
Diamond, Phil; Kloeden, Peter; Pokrovskij, Alexej
1995
Set-valued Markov chains and negative semitrajectories of discretized dynamical systems. Zbl 1029.37054
2002
Total uncertainty revisited. Zbl 0888.68110
Ramer, Arthur; Hiller, John; Diamond, Phil; Padet, Colette
1997
Stability of linear difference and differential inclusions. Zbl 1082.34509
Diamond, P.; Opojtsev, V. I.
2001
Diamond, Phil; Kloeden, Peter; Kozyakin, Victor; Pokrovskii, Alexei
2012
Chaotic phenomena in desynchronized systems and stability analysis. Zbl 0774.93057
Asarin, E.; Diamond, Phil; Fomenko, I.; Pokrovskij, A.
1993
Slowly varying functions of two variables and a Tauberian theorem for the double Laplace transform. Zbl 0586.44004
Diamond, Phil
1987
Nonlinear integral operators and chaos in Banach spaces. Zbl 0605.45013
Diamond, Phil
1987
Higher-order terms in asymptotic expansion for information loss in quantized random processes. Zbl 0992.94021
2001
Stability of a class of differential inclusions. Zbl 1010.34003
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
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
Shadowing and approximation in dynamical systems. Zbl 0856.58032
Diamond, P.; Kloeden, P.; Pokrovskij, A.
1994
The minimal center of attraction of measurable systems and their discretizations. Zbl 0852.58061
Diamond, Phil; Kloeden, Peter; Pokrovskij, Aleksej
1996
Fixed points of iterates of multivalued mappings. Zbl 0689.47018
Diamond, Phil
1989
Iterated maps on discretized meshes of the unit interval. Zbl 0725.65069
Diamond, Phil
1991
Cycles of spatial discretizations of shadowing dynamical systems. Zbl 0817.58021
Diamond, Phil; Kloeden, Peter; Pokrovskij, Aleksej
1995
On the fragmentary complexity of symbolic sequences. Zbl 0873.68120
Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A.
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
Stability of nonlinear difference inclusions. Zbl 0989.39005
Diamond, Phil; Opoitsev, Valery
2001
Chaos and fuzzy systems. Zbl 0921.93026
Diamond, Phil
1998
Robustness of the observable behavior of semihyperbolic dynamic systems. Zbl 0931.93029
Diamond, P.; Kloeden, P.; Kozyakin, V. S.; Pokrovskij, A. V.
1995
A uniform white-noise model for fixed-point roundoff errors in digital systems. Zbl 1072.94508
2002
Semi-hyperbolicity and bi-shadowing in nonautonomous difference equations with Lipschitz mappings. Zbl 1154.39022
Diamond, Phil; Kloeden, P. E.; Kozyakin, V. S.
2008
The stability of the interaction between entomophagous parasites and their host. Zbl 0272.92006
Diamond, Phil
1974
Stochastic exponential stability concepts and large-scale discrete systems. Zbl 0312.93046
Diamond, Phil
1975
Regions of local stability for non-autonomous discrete systems. Zbl 0378.93036
Diamond, Phil
1978
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
A uniform white-noise model for fixed-point roundoff errors in digital systems. Zbl 1072.94508
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
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 linear difference and differential inclusions. Zbl 1082.34509
Diamond, P.; Opojtsev, V. I.
2001
Higher-order terms in asymptotic expansion for information loss in quantized random processes. Zbl 0992.94021
2001
Stability of a class of differential inclusions. Zbl 1010.34003
Diamond, Phil; Opoitsev, Valery
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&rsquo;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
Bi-shadowing and delay equations. Zbl 0854.34064
Al-Nayef, A.; Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskij, A.
1996
Statistical laws for computational collapse of discretized chaotic mappings. Zbl 1298.37073
Diamond, Phil; Pokrovskii, Alexei
1996
Robustness of dynamical systems to a class of nonsmooth perturbations. Zbl 0849.58059
Diamond, P.; Kloeden, P.; Kozyakin, V.; Krasnosel&rsquo;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
Computer robustness of semi-hyperbolic mappings. Zbl 0849.58051
Diamond, Phil; Kloeden, Peter; Kozyakin, Victor; Pokrovskii, Alexej
1995
Expansivity of semi-hyperbolic Lipschitz mappings. Zbl 0826.58028
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
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
Cycles of spatial discretizations of shadowing dynamical systems. Zbl 0817.58021
Diamond, Phil; Kloeden, Peter; Pokrovskij, Aleksej
1995
On the fragmentary complexity of symbolic sequences. Zbl 0873.68120
Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A.
1995
Roughness of trajectories of dynamical systems with respect to hysteresis disturbances. Zbl 0897.34065
Diamond, P.; Kloeden, P.; Kozyakin, V. S.; Krasnosel&rsquo;skij, M. A.; Pokrovskij, A. V.
1995
Robustness of the observable behavior of semihyperbolic dynamic systems. Zbl 0931.93029
Diamond, P.; Kloeden, P.; Kozyakin, V. S.; Pokrovskij, A. V.
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
Slowly varying functions of two variables and a Tauberian theorem for the double Laplace transform. Zbl 0586.44004
Diamond, Phil
1987
Nonlinear integral operators and chaos in Banach spaces. Zbl 0605.45013
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
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### Cited by 977 Authors

 31 Diamond, Phil 27 Kloeden, Peter Eris 21 Colubi, Ana 18 Pokrovskiĭ, Alexeĭ Vadimovich 18 Rodríguez-López, Rosana 18 Wu, Congxin 17 Khastan, Alireza 17 Kurdyukov, Alexander P. 16 Chalco-Cano, Yurilev 16 Gil, María Angeles 16 Nieto Roig, Juan Jose 15 Allahviranloo, Tofigh 14 Coroianu, Lucian C. 14 Gong, Zengtai 14 Román-Flores, Heriberto E. 13 Malinowski, Marek T. 12 Abbasbandy, Saeid 12 González-Rodríguez, Gil 12 Qiu, Dong 11 D’Urso, Pierpaolo 11 Savaş, Ekrem 10 Blanco-Fernández, Angela 10 Feng, Yuhu 10 Kandel, Abraham 10 Lubiano, María Asunción 10 Syau, Yu-Ru 9 Bede, Barnabás 9 Hong, Dug Hun 9 Huang, Huan 9 Kozyakin, Viktor Sergeevich 9 Kupka, Jiří 9 Ma, Ming 9 O’Regan, Donal 8 Altinok, Hifsi 8 Et, Mikail 8 Hesamian, Gholamreza 8 López-Díaz, Miguel 8 Michta, Mariusz 8 Tchaikovsky, Michael M. 8 Yoshida, Yuji 7 Aytar, Salih 7 Montenegro, Manuel 7 Ramos-Guajardo, Ana Belén 7 Sinova, Beatriz 7 Timin, Victor N. 7 Wu, Hsien-Chung 7 Yoon, Jin Hee 6 Andrianova, Olga G. 6 Ban, Adrian I. 6 Bassanezi, Rodney Carlos 6 Çolak, Rifat 6 de la Rosa de Sáa, Sara 6 Friedman, Menahem 6 Kustov, Arkadiy Yu. 6 Lee, E. Stanley 6 Liu, Puyin 6 Nasrabadi, Ebrahim 6 Näther, Wolfgang 6 Pehlivan, Serpil 6 Ralescu, Dan A. 6 Salahshour, Soheil 6 Shao, Yabin 6 Stefanini, Luciano 6 Vladimirov, Igor G. 5 Agarwal, Ravi P. 5 Altin, Yavuz 5 Buckley, James J. 5 Cecconello, Moiseis S. 5 Coppi, Renato 5 Couso, Inés 5 De Barros, Laécio Carvalho 5 Dutta, Hemen 5 Fang, Jinxuan 5 García-Bárzana, Marta 5 Ghatee, Mehdi 5 Kratschmer, Volker 5 Papadopoulos, Basil K. 5 Pedrycz, Witold 5 Rufián-Lizana, Antonio 5 Sanchis, Manuel 5 Shapiro, Arnold F. 5 Terán, Pedro 5 Wang, Guixiang 4 Akbari, Mohammad Ghasem 4 Al-Nayef, Anwar A. 4 Aliev, Rafik Aziz 4 Apaydın, Ayşen 4 Baier, Robert 4 Băleanu, Dumitru I. 4 Casals, María Rosa 4 Choi, Seung Hoe 4 Dubois, Didier 4 Duckstein, Lucien 4 Esmi, Estevão Laureano 4 Fan, Taihe 4 Font, Juan J. 4 Gal, Sorin Gheorghe 4 Grzegorzewski, Przemysław 4 Hashemi, S. Mehdi 4 Huseynov, Oleg H. ...and 877 more Authors
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### Cited in 184 Serials

 242 Fuzzy Sets and Systems 70 Information Sciences 33 Soft Computing 26 Automation and Remote Control 25 Computers & Mathematics with Applications 25 International Journal of Approximate Reasoning 16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 14 Journal of Mathematical Analysis and Applications 14 Applied Mathematics and Computation 11 Computational Statistics and Data Analysis 11 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 10 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 9 Chaos, Solitons and Fractals 9 Computational and Applied Mathematics 9 Fuzzy Optimization and Decision Making 9 Iranian Journal of Fuzzy Systems 8 International Journal of General Systems 8 Journal of Computational and Applied Mathematics 8 Applied Mathematics Letters 8 Mathematical and Computer Modelling 8 Journal of Difference Equations and Applications 8 Journal of Intelligent and Fuzzy Systems 7 European Journal of Operational Research 7 Abstract and Applied Analysis 7 Advances in Difference Equations 6 Insurance Mathematics & Economics 6 Journal of Inequalities and Applications 6 Fixed Point Theory and Applications 6 Journal of Nonlinear Science and Applications 5 International Journal of Control 5 Systems & Control Letters 5 Aequationes Mathematicae 5 International Journal of Computer Mathematics 4 International Journal of Systems Science 4 Journal of Optimization Theory and Applications 4 Applied Mathematical Modelling 4 Chaos 4 Journal of Applied Mathematics 4 New Mathematics and Natural Computation 4 Nonlinear Analysis. Theory, Methods & Applications 4 International Journal of Systems Science. Principles and Applications of Systems and Integration 3 Metrika 3 International Journal of Mathematics and Mathematical Sciences 3 Metron 3 Results in Mathematics 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 3 Journal of Function Spaces 2 Bulletin of the Australian Mathematical Society 2 Journal of Statistical Physics 2 Automatica 2 Journal of Differential Equations 2 Kybernetika 2 Mathematics and Computers in Simulation 2 Mathematica Slovaca 2 Numerical Functional Analysis and Optimization 2 Proceedings of the American Mathematical Society 2 Topology and its Applications 2 Statistics & Probability Letters 2 Stochastic Analysis and Applications 2 Physica D 2 Optimization 2 Journal of Theoretical Probability 2 Annals of Operations Research 2 Computational Statistics 2 Test 2 Journal of Computer and Systems Sciences International 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 Nonlinear Analysis. Real World Applications 2 Discrete and Continuous Dynamical Systems. Series B 2 Mathematical Geology 2 Stochastics and Dynamics 2 Hacettepe Journal of Mathematics and Statistics 2 Boletim da Sociedade Paranaense de Matemática. Terceira Série 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 2 Mathematical Sciences 2 Journal of Mathematics 2 Journal of Linear and Topological Algebra 2 Open Mathematics 1 Analysis Mathematica 1 Journal of the Franklin Institute 1 Mathematical Biosciences 1 Ukrainian Mathematical Journal 1 Annals of the Institute of Statistical Mathematics 1 Computing 1 Demonstratio Mathematica 1 Functional Analysis and its Applications ...and 84 more Serials
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### Cited in 44 Fields

 191 Statistics (62-XX) 162 Mathematical logic and foundations (03-XX) 159 Real functions (26-XX) 143 Ordinary differential equations (34-XX) 86 Dynamical systems and ergodic theory (37-XX) 81 Systems theory; control (93-XX) 80 Probability theory and stochastic processes (60-XX) 77 Operations research, mathematical programming (90-XX) 71 General topology (54-XX) 68 Numerical analysis (65-XX) 56 Computer science (68-XX) 48 Sequences, series, summability (40-XX) 46 Functional analysis (46-XX) 44 Measure and integration (28-XX) 42 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 30 Difference and functional equations (39-XX) 28 Operator theory (47-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 24 Biology and other natural sciences (92-XX) 17 Integral equations (45-XX) 16 Approximations and expansions (41-XX) 15 Information and communication theory, circuits (94-XX) 12 Convex and discrete geometry (52-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 8 Partial differential equations (35-XX) 6 General algebraic systems (08-XX) 6 Geophysics (86-XX) 5 Integral transforms, operational calculus (44-XX) 3 Combinatorics (05-XX) 3 Number theory (11-XX) 2 General and overarching topics; collections (00-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Topological groups, Lie groups (22-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 History and biography (01-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 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX)