Edit Profile (opens in new tab) Diamond, Phil Compute Distance To: Compute 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 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, 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) Publications by Year all cited Publications top 5 cited Publications 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 0873.54019Diamond, Phil; Kloeden, Peter 232 1994 Fuzzy least squares. Zbl 0663.65150Diamond, Phil 160 1988 Multivalued spatial discretization of dynamical systems. Zbl 0843.54041Diamond, P.; Pokrovskij, A.; Kloeden, P. 121 1994 Metric spaces of fuzzy sets. Zbl 0704.54006Diamond, Phil; Kloeden, Peter 119 1990 Characterization of compact subsets of fuzzy sets. Zbl 0661.54011Diamond, Phil; Kloeden, Peter 60 1989 Brief note on the variation of constants formula for fuzzy differential equations. Zbl 1021.34048Diamond, Phil 49 2002 Extended fuzzy linear models and least squares estimates. Zbl 0936.62073Diamond, P.; Körner, R. 36 1997 Regularity of solution sets for differential inclusions quasi-concave in a parameter. Zbl 0944.34008Diamond, P.; Watson, P. 35 2000 Anisotropy-based performance analysis of linear discrete time invariant control systems. Zbl 1008.93031Diamond, P.; Vladimirov, I.; Kurdjukov, A.; Semyonov, A. 27 2001 Anisotropy-based robust performance analysis of finite horizon linear discrete time varying systems. Zbl 1194.93052Vladimirov, I. G.; Diamond, P.; Kloeden, P. 26 2006 Theory and applications of fuzzy Volterra integral equations. Zbl 1142.45302Diamond, P. 22 2002 Least squares fitting of compact set-valued data. Zbl 0704.65006Diamond, Phil 19 1990 Fuzzy regression analysis. Zbl 0922.62058Diamond, Phil; Tanaka, Hideo 18 1998 Chaotic behaviour of systems of difference equations. Zbl 0336.93004Diamond, Phil 17 1976 Chaos, entropy and a generalized extension principle. Zbl 0827.58037Diamond, Phil; Pokrovskii, Aleksej 16 1994 Metric topology of fuzzy numbers and fuzzy analysis. Zbl 0988.26019Diamond, Phil; Kloeden, Peter 16 2000 Comparative properties of three metrics in the space of compact convex sets. Zbl 0895.90151Diamond, Phil; Kloeden, Peter; Rubinov, Alexander; Vladimirov, Alexander 13 1997 Collapsing effects in numerical simulation of a class of chaotic dynamical systems and random mappings with a single attracting centre. Zbl 0878.60094Diamond, P.; Kloeden, P.; Pokrovskii, A.; Vladimirov, A. 11 1995 Absolute retracts and a general fixed point theorem for fuzzy sets. Zbl 0917.54045Diamond, Phil; Kloeden, Peter; Pokrovskii, Aleksej 11 1997 Fuzzy kriging. Zbl 0679.62088Diamond, Phil 10 1989 Least squares and maximum likelihood regression for fuzzy linear models. Zbl 0778.62059Diamond, Phil 9 1992 Metric spaces of fuzzy sets: Corrigendum. Zbl 0747.54004Diamond, Phil; Kloeden, Peter 9 1992 Stability of large cycles in a nonsmooth problem with Hopf bifurcation at infinity. Zbl 0963.34034Diamond, P.; Rachinskii, D.; Yumagulov, M. 9 2000 Basin of attraction of cycles of discretizations of dynamical systems with SRB invariant measures. Zbl 1081.37510Diamond, Phil; Klemm, Anthony; Kloeden, Peter; Pokrovskii, Aleksej 9 1996 Interval stochastic matrices and simulation of chaotic dynamics. Zbl 0811.58042Diamond, P.; Kloeden, P.; Prokrovskij, A. 9 1994 A note on fuzzy starshaped fuzzy sets. Zbl 0702.54008Diamond, Phil 9 1990 A stochastic functional equation. Zbl 0359.39001Diamond, Phil 9 1977 Semihyperbolic mappings. Zbl 0855.58044Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A. 8 1995 Computer robustness of semi-hyperbolic mappings. Zbl 0849.58051Diamond, Phil; Kloeden, Peter; Kozyakin, Victor; Pokrovskii, Alexej 7 1995 Spatial discretization of mappings. Zbl 0774.65055Diamond, Phil; Kloeden, Peter 7 1993 Expansivity of semi-hyperbolic Lipschitz mappings. Zbl 0826.58028Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A. 7 1995 On the Hopf bifurcation in control systems with a bounded nonlinearity asymptotically homogeneous at infinity. Zbl 0984.34029Diamond, P.; Kuznetsov, N.; Rachinskii, D. 7 2001 Chaos in iterated fuzzy systems. Zbl 0830.54006Diamond, Phil 7 1994 Dual cones in spaces of convex sets and fuzzy sets. Zbl 0874.90194Diamond, Phil; Vladimirov, A.; Kloeden, P. 7 1995 Statistical properties of discretizations of a class of chaotic dynamical systems. Zbl 0854.34043Diamond, P.; Suzuki, M.; Kloeden, P.; Pokrovskii, P. 6 1996 Approximation of knowledge and fuzzy sets. Zbl 0788.68137Diamond, Phil; Ramer, Arthur 6 1993 Boundedness and dissipativity of truncated rotations on uniform planar lattices. Zbl 0903.65063Diamond, Phil; Kloeden, Peter; Kozyakin, Victor; Pokrovskii, Alexej 5 1998 Bi-shadowing and delay equations. Zbl 0854.34064Al-Nayef, A.; Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskij, A. 5 1996 Statistical laws for computational collapse of discretized chaotic mappings. Zbl 1298.37073Diamond, Phil; Pokrovskii, Alexei 5 1996 A note on compact sets in spaces of subsets. Zbl 0643.54013Diamond, Phil; Kloeden, Peter 5 1988 A fuzzy max-flow min-cut theorem. Zbl 1044.90531Diamond, Phil 5 2001 Interval-valued random functions and the kriging of intervals. Zbl 0970.86500Diamond, Phil 5 1988 An invariant measure arising in computer simulation of a chaotic dynamical system. Zbl 0789.58044Diamond, P.; Kloeden, P.; Pokrovskii, A. 5 1994 Bishadowing and hyperbolicity. Zbl 1043.37017Diamond, Phil; Lee, Keonhee; Han, Yinghao 5 2002 Absolute stability of positive systems with differential constraints. Zbl 1002.93047Diamond, Phil; Opoitsev, Valery 4 2000 Weakly chain recurrent points and spatial discretizations of dynamical systems. Zbl 0806.58028Diamond, Phil; Kloeden, Peter; Pokrovskii, Alexej 4 1994 Mean anisotropy of homogeneous Gaussian random fields and anisotropic norms of linear translation-invariant operators on multidimensional integer lattices. Zbl 1060.60053Diamond, Phil; Kloeden, Peter; Vladimirov, Igor 4 2003 Real structural stability radius of infinite-dimensional linear systems: Its estimate. Zbl 1090.93551Bulatov, A. V.; Diamond, P. 4 2002 Interval stochastic matrices: A combinatorial lemma and the computation of invariant measures of dynamical systems. Zbl 0827.60055Diamond, Phil; Kloeden, Peter; Pokrovskii, Aleksej 4 1995 An easily computable estimate for the real unstructured \(F\)-stability radius. Zbl 0982.93058Bobylev, Nikolai; Bulatov, A.; Diamond, Phil 3 1999 Monotonic dynamical systems under spatial discretization. Zbl 0903.58017Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A. 3 1998 Robustness of dynamical systems to a class of nonsmooth perturbations. Zbl 0849.58059Diamond, P.; Kloeden, P.; Kozyakin, V.; Krasnosel’skij, M.; Pokrovskii, A. 3 1996 Higher level fuzzy numbers arising from fuzzy regression models. Zbl 0697.62063Diamond, Phil 3 1990 A model for roundoff and collapse in computation of chaotic dynamical systems. Zbl 1017.37501Diamond, P.; Kloeden, P. E.; Kozyakin, V. S.; Pokrovskii, A. V. 3 1997 Estimates of the real structured radius of stability of linear dynamic systems. Zbl 1092.93581Bobylev, N. A.; Bulatov, A. V.; Diamond, Phil 3 2001 Class of discrete Liapunov functions. Zbl 0302.34060Diamond, Phil 3 1975 Congruence classes of fuzzy sets form a Banach space. Zbl 0769.46057Diamond, Phil 2 1991 Asymptotic independence and uniform distribution of quantization errors for spatially discretized dynamical systems. Zbl 0948.37057Diamond, P.; Vladimirov, I. 2 1998 Numerical modeling of toroidal dynamical systems with invariant Lebesgue measure. Zbl 0821.65053Diamond, Phil; Kloeden, Peter; Pokrovskij, Alexej 2 1993 Analysis of an algorithm for computing invariant measures. Zbl 0826.58022Diamond, Phil; Kloeden, Peter; Pokrovskij, Alexej 2 1995 Set-valued Markov chains and negative semitrajectories of discretized dynamical systems. Zbl 1029.37054Diamond, P.; Vladimirov, I. 2 2002 Total uncertainty revisited. Zbl 0888.68110Ramer, Arthur; Hiller, John; Diamond, Phil; Padet, Colette 2 1997 Stability of linear difference and differential inclusions. Zbl 1082.34509Diamond, P.; Opojtsev, V. I. 2 2001 Semi-hyperbolicity and bi-shadowing. Zbl 1307.37001Diamond, Phil; Kloeden, Peter; Kozyakin, Victor; Pokrovskii, Alexei 2 2012 Chaotic phenomena in desynchronized systems and stability analysis. Zbl 0774.93057Asarin, E.; Diamond, Phil; Fomenko, I.; Pokrovskij, A. 1 1993 Slowly varying functions of two variables and a Tauberian theorem for the double Laplace transform. Zbl 0586.44004Diamond, Phil 1 1987 Nonlinear integral operators and chaos in Banach spaces. Zbl 0605.45013Diamond, Phil 1 1987 Higher-order terms in asymptotic expansion for information loss in quantized random processes. Zbl 0992.94021Diamond, Phil; Vladimirov, Igor 1 2001 Stability of a class of differential inclusions. Zbl 1010.34003Diamond, Phil; Opoitsev, Valery 1 2001 Spikes, broken planes and the approximation of convex fuzzy sets. Zbl 0981.54008Diamond, Phil; Kloeden, Peter; Vladimirov, Alexander 1 1998 Bifurcation at infinity for equations in spaces of vector-valued functions. Zbl 0913.47058Diamond, P.; Kloeden, P. E.; Krasnosel’skii, A. M.; Pokrovskii, A. V. 1 1997 Shadowing and approximation in dynamical systems. Zbl 0856.58032Diamond, P.; Kloeden, P.; Pokrovskij, A. 1 1994 The minimal center of attraction of measurable systems and their discretizations. Zbl 0852.58061Diamond, Phil; Kloeden, Peter; Pokrovskij, Aleksej 1 1996 Fixed points of iterates of multivalued mappings. Zbl 0689.47018Diamond, Phil 1 1989 Iterated maps on discretized meshes of the unit interval. Zbl 0725.65069Diamond, Phil 1 1991 Cycles of spatial discretizations of shadowing dynamical systems. Zbl 0817.58021Diamond, Phil; Kloeden, Peter; Pokrovskij, Aleksej 1 1995 On the fragmentary complexity of symbolic sequences. Zbl 0873.68120Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A. 1 1995 Roughness of trajectories of dynamical systems with respect to hysteresis disturbances. Zbl 0897.34065Diamond, P.; Kloeden, P.; Kozyakin, V. S.; Krasnosel’skij, M. A.; Pokrovskij, A. V. 1 1995 Stability of nonlinear difference inclusions. Zbl 0989.39005Diamond, Phil; Opoitsev, Valery 1 2001 Chaos and fuzzy systems. Zbl 0921.93026Diamond, Phil 1 1998 Robustness of the observable behavior of semihyperbolic dynamic systems. Zbl 0931.93029Diamond, P.; Kloeden, P.; Kozyakin, V. S.; Pokrovskij, A. V. 1 1995 A uniform white-noise model for fixed-point roundoff errors in digital systems. Zbl 1072.94508Vladimirov, I. G.; Diamond, P. 1 2002 Semi-hyperbolicity and bi-shadowing in nonautonomous difference equations with Lipschitz mappings. Zbl 1154.39022Diamond, Phil; Kloeden, P. E.; Kozyakin, V. S. 1 2008 The stability of the interaction between entomophagous parasites and their host. Zbl 0272.92006Diamond, Phil 1 1974 Stochastic exponential stability concepts and large-scale discrete systems. Zbl 0312.93046Diamond, Phil 1 1975 Regions of local stability for non-autonomous discrete systems. Zbl 0378.93036Diamond, Phil 1 1978 Semi-hyperbolicity and bi-shadowing. Zbl 1307.37001Diamond, Phil; Kloeden, Peter; Kozyakin, Victor; Pokrovskii, Alexei 2 2012 Semi-hyperbolicity and bi-shadowing in nonautonomous difference equations with Lipschitz mappings. Zbl 1154.39022Diamond, Phil; Kloeden, P. E.; Kozyakin, V. S. 1 2008 Anisotropy-based robust performance analysis of finite horizon linear discrete time varying systems. Zbl 1194.93052Vladimirov, I. G.; Diamond, P.; Kloeden, P. 26 2006 Mean anisotropy of homogeneous Gaussian random fields and anisotropic norms of linear translation-invariant operators on multidimensional integer lattices. Zbl 1060.60053Diamond, Phil; Kloeden, Peter; Vladimirov, Igor 4 2003 Brief note on the variation of constants formula for fuzzy differential equations. Zbl 1021.34048Diamond, Phil 49 2002 Theory and applications of fuzzy Volterra integral equations. Zbl 1142.45302Diamond, P. 22 2002 Bishadowing and hyperbolicity. Zbl 1043.37017Diamond, Phil; Lee, Keonhee; Han, Yinghao 5 2002 Real structural stability radius of infinite-dimensional linear systems: Its estimate. Zbl 1090.93551Bulatov, A. V.; Diamond, P. 4 2002 Set-valued Markov chains and negative semitrajectories of discretized dynamical systems. Zbl 1029.37054Diamond, P.; Vladimirov, I. 2 2002 A uniform white-noise model for fixed-point roundoff errors in digital systems. Zbl 1072.94508Vladimirov, I. G.; Diamond, P. 1 2002 Anisotropy-based performance analysis of linear discrete time invariant control systems. Zbl 1008.93031Diamond, P.; Vladimirov, I.; Kurdjukov, A.; Semyonov, A. 27 2001 On the Hopf bifurcation in control systems with a bounded nonlinearity asymptotically homogeneous at infinity. Zbl 0984.34029Diamond, P.; Kuznetsov, N.; Rachinskii, D. 7 2001 A fuzzy max-flow min-cut theorem. Zbl 1044.90531Diamond, Phil 5 2001 Estimates of the real structured radius of stability of linear dynamic systems. Zbl 1092.93581Bobylev, N. A.; Bulatov, A. V.; Diamond, Phil 3 2001 Stability of linear difference and differential inclusions. Zbl 1082.34509Diamond, P.; Opojtsev, V. I. 2 2001 Higher-order terms in asymptotic expansion for information loss in quantized random processes. Zbl 0992.94021Diamond, Phil; Vladimirov, Igor 1 2001 Stability of a class of differential inclusions. Zbl 1010.34003Diamond, Phil; Opoitsev, Valery 1 2001 Stability of nonlinear difference inclusions. Zbl 0989.39005Diamond, Phil; Opoitsev, Valery 1 2001 Regularity of solution sets for differential inclusions quasi-concave in a parameter. Zbl 0944.34008Diamond, P.; Watson, P. 35 2000 Metric topology of fuzzy numbers and fuzzy analysis. Zbl 0988.26019Diamond, Phil; Kloeden, Peter 16 2000 Stability of large cycles in a nonsmooth problem with Hopf bifurcation at infinity. Zbl 0963.34034Diamond, P.; Rachinskii, D.; Yumagulov, M. 9 2000 Absolute stability of positive systems with differential constraints. Zbl 1002.93047Diamond, Phil; Opoitsev, Valery 4 2000 An easily computable estimate for the real unstructured \(F\)-stability radius. Zbl 0982.93058Bobylev, Nikolai; Bulatov, A.; Diamond, Phil 3 1999 Fuzzy regression analysis. Zbl 0922.62058Diamond, Phil; Tanaka, Hideo 18 1998 Boundedness and dissipativity of truncated rotations on uniform planar lattices. Zbl 0903.65063Diamond, Phil; Kloeden, Peter; Kozyakin, Victor; Pokrovskii, Alexej 5 1998 Monotonic dynamical systems under spatial discretization. Zbl 0903.58017Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A. 3 1998 Asymptotic independence and uniform distribution of quantization errors for spatially discretized dynamical systems. Zbl 0948.37057Diamond, P.; Vladimirov, I. 2 1998 Spikes, broken planes and the approximation of convex fuzzy sets. Zbl 0981.54008Diamond, Phil; Kloeden, Peter; Vladimirov, Alexander 1 1998 Chaos and fuzzy systems. Zbl 0921.93026Diamond, Phil 1 1998 Extended fuzzy linear models and least squares estimates. Zbl 0936.62073Diamond, P.; Körner, R. 36 1997 Comparative properties of three metrics in the space of compact convex sets. Zbl 0895.90151Diamond, Phil; Kloeden, Peter; Rubinov, Alexander; Vladimirov, Alexander 13 1997 Absolute retracts and a general fixed point theorem for fuzzy sets. Zbl 0917.54045Diamond, Phil; Kloeden, Peter; Pokrovskii, Aleksej 11 1997 A model for roundoff and collapse in computation of chaotic dynamical systems. Zbl 1017.37501Diamond, P.; Kloeden, P. E.; Kozyakin, V. S.; Pokrovskii, A. V. 3 1997 Total uncertainty revisited. Zbl 0888.68110Ramer, Arthur; Hiller, John; Diamond, Phil; Padet, Colette 2 1997 Bifurcation at infinity for equations in spaces of vector-valued functions. Zbl 0913.47058Diamond, 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 1081.37510Diamond, Phil; Klemm, Anthony; Kloeden, Peter; Pokrovskii, Aleksej 9 1996 Statistical properties of discretizations of a class of chaotic dynamical systems. Zbl 0854.34043Diamond, P.; Suzuki, M.; Kloeden, P.; Pokrovskii, P. 6 1996 Bi-shadowing and delay equations. Zbl 0854.34064Al-Nayef, A.; Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskij, A. 5 1996 Statistical laws for computational collapse of discretized chaotic mappings. Zbl 1298.37073Diamond, Phil; Pokrovskii, Alexei 5 1996 Robustness of dynamical systems to a class of nonsmooth perturbations. Zbl 0849.58059Diamond, P.; Kloeden, P.; Kozyakin, V.; Krasnosel’skij, M.; Pokrovskii, A. 3 1996 The minimal center of attraction of measurable systems and their discretizations. Zbl 0852.58061Diamond, 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 0878.60094Diamond, P.; Kloeden, P.; Pokrovskii, A.; Vladimirov, A. 11 1995 Semihyperbolic mappings. Zbl 0855.58044Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A. 8 1995 Computer robustness of semi-hyperbolic mappings. Zbl 0849.58051Diamond, Phil; Kloeden, Peter; Kozyakin, Victor; Pokrovskii, Alexej 7 1995 Expansivity of semi-hyperbolic Lipschitz mappings. Zbl 0826.58028Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A. 7 1995 Dual cones in spaces of convex sets and fuzzy sets. Zbl 0874.90194Diamond, Phil; Vladimirov, A.; Kloeden, P. 7 1995 Interval stochastic matrices: A combinatorial lemma and the computation of invariant measures of dynamical systems. Zbl 0827.60055Diamond, Phil; Kloeden, Peter; Pokrovskii, Aleksej 4 1995 Analysis of an algorithm for computing invariant measures. Zbl 0826.58022Diamond, Phil; Kloeden, Peter; Pokrovskij, Alexej 2 1995 Cycles of spatial discretizations of shadowing dynamical systems. Zbl 0817.58021Diamond, Phil; Kloeden, Peter; Pokrovskij, Aleksej 1 1995 On the fragmentary complexity of symbolic sequences. Zbl 0873.68120Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A. 1 1995 Roughness of trajectories of dynamical systems with respect to hysteresis disturbances. Zbl 0897.34065Diamond, P.; Kloeden, P.; Kozyakin, V. S.; Krasnosel’skij, M. A.; Pokrovskij, A. V. 1 1995 Robustness of the observable behavior of semihyperbolic dynamic systems. Zbl 0931.93029Diamond, P.; Kloeden, P.; Kozyakin, V. S.; Pokrovskij, A. V. 1 1995 Metric spaces of fuzzy sets: theory and applications. Zbl 0873.54019Diamond, Phil; Kloeden, Peter 232 1994 Multivalued spatial discretization of dynamical systems. Zbl 0843.54041Diamond, P.; Pokrovskij, A.; Kloeden, P. 121 1994 Chaos, entropy and a generalized extension principle. Zbl 0827.58037Diamond, Phil; Pokrovskii, Aleksej 16 1994 Interval stochastic matrices and simulation of chaotic dynamics. Zbl 0811.58042Diamond, P.; Kloeden, P.; Prokrovskij, A. 9 1994 Chaos in iterated fuzzy systems. Zbl 0830.54006Diamond, Phil 7 1994 An invariant measure arising in computer simulation of a chaotic dynamical system. Zbl 0789.58044Diamond, P.; Kloeden, P.; Pokrovskii, A. 5 1994 Weakly chain recurrent points and spatial discretizations of dynamical systems. Zbl 0806.58028Diamond, Phil; Kloeden, Peter; Pokrovskii, Alexej 4 1994 Shadowing and approximation in dynamical systems. Zbl 0856.58032Diamond, P.; Kloeden, P.; Pokrovskij, A. 1 1994 Spatial discretization of mappings. Zbl 0774.65055Diamond, Phil; Kloeden, Peter 7 1993 Approximation of knowledge and fuzzy sets. Zbl 0788.68137Diamond, Phil; Ramer, Arthur 6 1993 Numerical modeling of toroidal dynamical systems with invariant Lebesgue measure. Zbl 0821.65053Diamond, Phil; Kloeden, Peter; Pokrovskij, Alexej 2 1993 Chaotic phenomena in desynchronized systems and stability analysis. Zbl 0774.93057Asarin, E.; Diamond, Phil; Fomenko, I.; Pokrovskij, A. 1 1993 Least squares and maximum likelihood regression for fuzzy linear models. Zbl 0778.62059Diamond, Phil 9 1992 Metric spaces of fuzzy sets: Corrigendum. Zbl 0747.54004Diamond, Phil; Kloeden, Peter 9 1992 Congruence classes of fuzzy sets form a Banach space. Zbl 0769.46057Diamond, Phil 2 1991 Iterated maps on discretized meshes of the unit interval. Zbl 0725.65069Diamond, Phil 1 1991 Metric spaces of fuzzy sets. Zbl 0704.54006Diamond, Phil; Kloeden, Peter 119 1990 Least squares fitting of compact set-valued data. Zbl 0704.65006Diamond, Phil 19 1990 A note on fuzzy starshaped fuzzy sets. Zbl 0702.54008Diamond, Phil 9 1990 Higher level fuzzy numbers arising from fuzzy regression models. Zbl 0697.62063Diamond, Phil 3 1990 Characterization of compact subsets of fuzzy sets. Zbl 0661.54011Diamond, Phil; Kloeden, Peter 60 1989 Fuzzy kriging. Zbl 0679.62088Diamond, Phil 10 1989 Fixed points of iterates of multivalued mappings. Zbl 0689.47018Diamond, Phil 1 1989 Fuzzy least squares. Zbl 0663.65150Diamond, Phil 160 1988 A note on compact sets in spaces of subsets. Zbl 0643.54013Diamond, Phil; Kloeden, Peter 5 1988 Interval-valued random functions and the kriging of intervals. Zbl 0970.86500Diamond, Phil 5 1988 Slowly varying functions of two variables and a Tauberian theorem for the double Laplace transform. Zbl 0586.44004Diamond, Phil 1 1987 Nonlinear integral operators and chaos in Banach spaces. Zbl 0605.45013Diamond, Phil 1 1987 Regions of local stability for non-autonomous discrete systems. Zbl 0378.93036Diamond, Phil 1 1978 A stochastic functional equation. Zbl 0359.39001Diamond, Phil 9 1977 Chaotic behaviour of systems of difference equations. Zbl 0336.93004Diamond, Phil 17 1976 Class of discrete Liapunov functions. Zbl 0302.34060Diamond, Phil 3 1975 Stochastic exponential stability concepts and large-scale discrete systems. Zbl 0312.93046Diamond, Phil 1 1975 The stability of the interaction between entomophagous parasites and their host. Zbl 0272.92006Diamond, Phil 1 1974 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year