Edit Profile (opens in new tab) Diamond, Phil Co-Author Distance 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 708 Co-Co-Authors all top 5 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, Aleksandr Moiseevich 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 89 Publications have been cited 1,293 times in 1,006 Documents Cited by ▼ Year ▼ Metric spaces of fuzzy sets: theory and applications. Zbl 0873.54019 Diamond, Phil; Kloeden, Peter 276 1994 Fuzzy least squares. Zbl 0663.65150 Diamond, Phil 177 1988 Metric spaces of fuzzy sets. Zbl 0704.54006 Diamond, Phil; Kloeden, Peter 133 1990 Multivalued spatial discretization of dynamical systems. Zbl 0843.54041 Diamond, P.; Pokrovskij, A.; Kloeden, P. 132 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 50 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 robust performance analysis of finite horizon linear discrete time varying systems. Zbl 1194.93052 Vladimirov, I. G.; Diamond, P.; Kloeden, P. 30 2006 Anisotropy-based performance analysis of linear discrete time invariant control systems. Zbl 1008.93031 Diamond, P.; Vladimirov, I.; Kurdjukov, A.; Semyonov, A. 30 2001 Metric topology of fuzzy numbers and fuzzy analysis. Zbl 0988.26019 Diamond, Phil; Kloeden, Peter 23 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 19 1990 Chaos, entropy and a generalized extension principle. Zbl 0827.58037 Diamond, Phil; Pokrovskii, Aleksej 18 1994 Chaotic behaviour of systems of difference equations. Zbl 0336.93004 Diamond, Phil 18 1976 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 Fuzzy kriging. Zbl 0679.62088 Diamond, Phil 10 1989 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 A note on fuzzy starshaped fuzzy sets. Zbl 0702.54008 Diamond, Phil 10 1990 Least squares and maximum likelihood regression for fuzzy linear models. Zbl 0778.62059 Diamond, Phil 9 1992 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 Metric spaces of fuzzy sets: Corrigendum. Zbl 0747.54004 Diamond, Phil; Kloeden, Peter 9 1992 Chaos in iterated fuzzy systems. Zbl 0830.54006 Diamond, Phil 9 1994 Interval stochastic matrices and simulation of chaotic dynamics. Zbl 0811.58042 Diamond, P.; Kloeden, P.; Prokrovskij, A. 9 1994 Expansivity of semi-hyperbolic Lipschitz mappings. Zbl 0826.58028 Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A. 8 1995 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 Computer robustness of semi-hyperbolic mappings. Zbl 0849.58051 Diamond, Phil; Kloeden, Peter; Kozyakin, Victor; Pokrovskii, Alexej 7 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 Boundedness and dissipativity of truncated rotations on uniform planar lattices. Zbl 0903.65063 Diamond, Phil; Kloeden, Peter; Kozyakin, Victor; Pokrovskii, Alexej 6 1998 Interval-valued random functions and the kriging of intervals. Zbl 0970.86500 Diamond, Phil 6 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 6 2003 Approximation of knowledge and fuzzy sets. Zbl 0788.68137 Diamond, Phil; Ramer, Arthur 6 1993 An invariant measure arising in computer simulation of a chaotic dynamical system. Zbl 0789.58044 Diamond, P.; Kloeden, P.; Pokrovskii, A. 6 1994 A note on compact sets in spaces of subsets. Zbl 0643.54013 Diamond, Phil; Kloeden, Peter 5 1988 Bi-shadowing and delay equations. Zbl 0854.34064 Al-Nayef, A.; Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskij, A. 5 1996 A fuzzy max-flow min-cut theorem. Zbl 1044.90531 Diamond, Phil 5 2001 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 Asymptotic independence and uniform distribution of quantization errors for spatially discretized dynamical systems. Zbl 0948.37057 Diamond, P.; Vladimirov, I. 4 1998 Absolute stability of positive systems with differential constraints. Zbl 1002.93047 Diamond, Phil; Opoitsev, Valery 4 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 4 1995 Real structural stability radius of infinite-dimensional linear systems: Its estimate. Zbl 1090.93551 Bulatov, A. V.; Diamond, P. 4 2002 Higher level fuzzy numbers arising from fuzzy regression models. Zbl 0697.62063 Diamond, Phil 4 1990 Weakly chain recurrent points and spatial discretizations of dynamical systems. Zbl 0806.58028 Diamond, Phil; Kloeden, Peter; Pokrovskii, Alexej 4 1994 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 An easily computable estimate for the real unstructured \(F\)-stability radius. Zbl 0982.93058 Bobylev, Nikolai; Bulatov, A.; Diamond, Phil 3 1999 Monotonic dynamical systems under spatial discretization. Zbl 0903.58017 Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A. 3 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. 3 1996 Class of discrete Liapunov functions. Zbl 0302.34060 Diamond, Phil 3 1975 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 nonlinear difference inclusions. Zbl 0989.39005 Diamond, Phil; Opoitsev, Valery 2 2001 Branching processes and computational collapse of discretized unimodal mappings. Zbl 1043.37030 Diamond, P.; Vladimirov, I. 2 2002 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 Stability of linear difference and differential inclusions. Zbl 1082.34509 Diamond, P.; Opojtsev, V. I. 2 2001 Congruence classes of fuzzy sets form a Banach space. Zbl 0769.46057 Diamond, Phil 2 1991 Total uncertainty revisited. Zbl 0888.68110 Ramer, Arthur; Hiller, John; Diamond, Phil; Padet, Colette 2 1997 Semi-hyperbolicity and bi-shadowing. Zbl 1307.37001 Diamond, Phil; Kloeden, Peter; Kozyakin, Victor; Pokrovskii, Alexei 2 2012 Fixed points of iterates of multivalued mappings. Zbl 0689.47018 Diamond, Phil 1 1989 Spikes, broken planes and the approximation of convex fuzzy sets. Zbl 0981.54008 Diamond, Phil; Kloeden, Peter; Vladimirov, Alexander 1 1998 Shadowing and approximation in dynamical systems. Zbl 0856.58032 Diamond, P.; Kloeden, P.; Pokrovskij, A. 1 1994 The minimal center of attraction of measurable systems and their discretizations. Zbl 0852.58061 Diamond, Phil; Kloeden, Peter; Pokrovskij, Aleksej 1 1996 Chaos and fuzzy systems. Zbl 0921.93026 Diamond, Phil 1 1998 Robustness of the observable behavior of semihyperbolic dynamic systems. Zbl 0931.93029 Diamond, P.; Kloeden, P.; Kozyakin, V. S.; Pokrovskij, A. V. 1 1995 Higher-order terms in asymptotic expansion for information loss in quantized random processes. Zbl 0992.94021 Diamond, Phil; Vladimirov, Igor 1 2001 Cycles of spatial discretizations of shadowing dynamical systems. Zbl 0817.58021 Diamond, Phil; Kloeden, Peter; Pokrovskij, Aleksej 1 1995 The stability of the interaction between entomophagous parasites and their host. Zbl 0272.92006 Diamond, Phil 1 1974 Stochastic exponential stability concepts and large-scale discrete systems. Zbl 0312.93046 Diamond, Phil 1 1975 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 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 A uniform white-noise model for fixed-point roundoff errors in digital systems. Zbl 1072.94508 Vladimirov, I. G.; Diamond, P. 1 2002 Iterated maps on discretized meshes of the unit interval. Zbl 0725.65069 Diamond, Phil 1 1991 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 On the fragmentary complexity of symbolic sequences. Zbl 0873.68120 Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A. 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 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 Stability of a class of differential inclusions. Zbl 1010.34003 Diamond, Phil; Opoitsev, Valery 1 2001 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 50 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 5 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 nonlinear difference inclusions. Zbl 0989.39005 Diamond, Phil; Opoitsev, Valery 2 2001 Stability of linear difference and differential inclusions. Zbl 1082.34509 Diamond, P.; Opojtsev, V. I. 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 23 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 Expansivity of semi-hyperbolic Lipschitz mappings. Zbl 0826.58028 Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A. 8 1995 Semihyperbolic mappings. Zbl 0855.58044 Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A. 8 1995 Computer robustness of semi-hyperbolic mappings. Zbl 0849.58051 Diamond, Phil; Kloeden, Peter; Kozyakin, Victor; Pokrovskii, Alexej 7 1995 Dual cones in spaces of convex sets and fuzzy sets. Zbl 0874.90194 Diamond, Phil; Vladimirov, A.; Kloeden, P. 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 On the fragmentary complexity of symbolic sequences. Zbl 0873.68120 Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A. 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 Metric spaces of fuzzy sets: theory and applications. Zbl 0873.54019 Diamond, Phil; Kloeden, Peter 276 1994 Multivalued spatial discretization of dynamical systems. Zbl 0843.54041 Diamond, P.; Pokrovskij, A.; Kloeden, P. 132 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 9 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 Least squares and maximum likelihood regression for fuzzy linear models. Zbl 0778.62059 Diamond, Phil 9 1992 Metric spaces of fuzzy sets: Corrigendum. Zbl 0747.54004 Diamond, Phil; Kloeden, Peter 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 133 1990 Least squares fitting of compact set-valued data. Zbl 0704.65006 Diamond, Phil 19 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 177 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 18 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 cited Publications top 5 cited Publications all top 5 Cited by 1,118 Authors 31 Diamond, Phil 28 Kloeden, Peter Eris 22 Rodríguez-López, Rosana 21 Colubi, Ana 21 Khastan, Alireza 18 Chalco-Cano, Yurilev 18 Gil, María Angeles 18 Gong, Zengtai 18 Pokrovskiĭ, Alexeĭ Vadimovich 18 Wu, Congxin 17 Kurdyukov, Alexander P. 17 Nieto Roig, Juan Jose 16 Allahviranloo, Tofigh 14 Coroianu, Lucian C. 14 Malinowski, Marek T. 14 Román-Flores, Heriberto E. 12 Abbasbandy, Saeid 12 González-Rodríguez, Gil 12 Lubiano, María Asunción 12 Qiu, Dong 11 D’Urso, Pierpaolo 11 Savaş, Ekrem 10 Blanco-Fernández, Angela 10 Feng, Yuhu 10 Huang, Huan 10 Kandel, Abraham 10 O’Regan, Donal 10 Syau, Yu-Ru 9 Bede, Barnabás 9 De Barros, Laécio Carvalho 9 Et, Mikail 9 Hesamian, Gholamreza 9 Hong, Dug Hun 9 Kozyakin, Viktor Sergeevich 9 Kupka, Jiří 9 Ma, Ming 8 Altinok, Hifsi 8 Aytar, Salih 8 Esmi, Estevão Laureano 8 Kustov, Arkadiy Yu. 8 Lee, E. Stanley 8 López-Díaz, Miguel 8 Michta, Mariusz 8 Montenegro, Manuel 8 Shao, Yabin 8 Sinova, Beatriz 8 Tchaikovsky, Michael M. 8 Timin, Victor N. 8 Yoshida, Yuji 7 Agarwal, Ravi P. 7 Çolak, Rifat 7 Dutta, Hemen 7 Osuna-Gómez, Rafaela 7 Ramos-Guajardo, Ana Belén 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 Liu, Puyin 6 Nasrabadi, Ebrahim 6 Näther, Wolfgang 6 Pehlivan, Serpil 6 Ralescu, Dan A. 6 Salahshour, Soheil 6 Stefanini, Luciano 6 Terán, Pedro 6 Vladimirov, Igor G. 5 Akbari, Mohammad Ghasem 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 Grzegorzewski, Przemysław 5 Huang, Nan-Jing 5 Kapica, Rafał 5 Kratschmer, Volker 5 Mursaleen, Mohammad 5 Papadopoulos, Basil K. 5 Pedrycz, Witold 5 Rufián-Lizana, Antonio 5 Sanchis, Manuel 5 Shapiro, Arnold F. 5 Wang, Guixiang 4 Al-Nayef, Anwar A. 4 Aliev, Rafik Aziz 4 Apaydın, Ayşen 4 Baier, Robert 4 Băleanu, Dumitru I. 4 Chen, Minghao 4 Choi, Seung Hoe 4 Dubois, Didier 4 Duckstein, Lucien ...and 1,018 more Authors all top 5 Cited in 205 Serials 259 Fuzzy Sets and Systems 77 Information Sciences 44 Soft Computing 30 Automation and Remote Control 25 Computers & Mathematics with Applications 25 International Journal of Approximate Reasoning 16 Nonlinear Analysis. 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ADAC 3 Advances in Fuzzy Systems 3 Symmetry 2 Bulletin of the Australian Mathematical Society 2 Journal of Statistical Physics 2 Ukrainian Mathematical Journal 2 Journal of Differential Equations 2 Kybernetika 2 Mathematics and Computers in Simulation 2 Mathematica Slovaca 2 Proceedings of the American Mathematical Society 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 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 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 Hacettepe Journal of Mathematics and Statistics 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 ...and 105 more Serials all top 5 Cited in 48 Fields 208 Statistics (62-XX) 178 Real functions (26-XX) 173 Mathematical logic and foundations (03-XX) 161 Ordinary differential equations (34-XX) 97 Dynamical systems and ergodic theory (37-XX) 89 Probability theory and stochastic processes (60-XX) 89 Systems theory; control (93-XX) 84 Operations research, mathematical programming (90-XX) 83 General topology (54-XX) 77 Numerical analysis (65-XX) 58 Computer science (68-XX) 55 Sequences, series, summability (40-XX) 52 Functional analysis (46-XX) 46 Measure and integration (28-XX) 45 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 36 Difference and functional equations (39-XX) 33 Operator theory (47-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 25 Biology and other natural sciences (92-XX) 19 Approximations and expansions (41-XX) 18 Integral equations (45-XX) 18 Information and communication theory, circuits (94-XX) 13 Partial differential equations (35-XX) 13 Convex and discrete geometry (52-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 7 Geophysics (86-XX) 6 General algebraic systems (08-XX) 6 Integral transforms, operational calculus (44-XX) 4 Number theory (11-XX) 3 Combinatorics (05-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 Topological groups, Lie groups (22-XX) 2 Harmonic analysis on Euclidean spaces (42-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 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-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 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year