Edit Profile Diamond, Phil Compute Distance To: Compute Author ID: diamond.phil Published as: Diamond, P.; Diamond, Phil Documents Indexed: 111 Publications since 1971, including 2 Books Reviewing Activity: 1 Review all top 5 Co-Authors 35 single-authored 46 Kloeden, Peter Eris 34 Pokrovskiĭ, Alexeĭ Vadimovich 13 Kozyakin, Viktor Sergeevich 9 Vladimirov, Igor G. 5 Vladimirov, Aleksandr Aleksandrovich 4 Opoitsev, Valery 3 Bulatov, Alexander V. 3 Krasnosel’skiĭ, Mark Aleksandrovich 2 Bobylev, Nikolaĭ Antonovich 2 Fomenko, Igor V. 2 Ramer, Arthur 1 Al-Nayef, Anwar A. 1 Asarin, E. A. 1 Bryant, Darryn E. 1 Han, Yinghao 1 Hiller, John R. 1 Klemm, Anthony D. 1 Krasnosel’skiĭ, Aleksandr Markovich 1 Kurdjukov, A. P. 1 Lee, Keonhee 1 Padet, Colette 1 Pokrovskii, P. 1 Rubinov, Alexander M. 1 Semyonov, A. V. 1 Suzuki, Michitaka 1 Tanaka, Hideo all top 5 Serials 11 Fuzzy Sets and Systems 7 International Journal of Control 7 Journal of Mathematical Analysis and Applications 5 Bulletin of the Australian Mathematical Society 5 Automation and Remote Control 4 Computers & Mathematics with Applications 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Journal of Nonlinear Science 3 Nonlinear Analysis. Theory, Methods & Applications 2 International Journal of Systems Science 2 Journal of the Australian Mathematical Society, Series B 2 Mathematical Biosciences 2 Mathematische Nachrichten 2 Circuits, Systems, and Signal Processing 2 Aequationes Mathematicae 2 Journal of the Australian Mathematical Society. Series A 2 Random & Computational Dynamics 2 Set-Valued Analysis 1 Applicable Analysis 1 International Journal of General Systems 1 Journal of Statistical Physics 1 The Australian Mathematical Society Gazette 1 Information Sciences 1 Mathematics and Computers in Simulation 1 Numerical Functional Analysis and Optimization 1 Proceedings of the American Mathematical Society 1 Theoretical Computer Science 1 Cybernetics and Systems 1 Physica D 1 Dynamics and Stability of Systems 1 Complex Systems 1 Journal of Applied Mathematics and Stochastic Analysis 1 Dynamics and Control 1 IEEE Transactions on Systems, Man, and Cybernetics 1 Linear Algebra and its Applications 1 Journal of Dynamics and Differential Equations 1 Journal of Difference Equations and Applications 1 Arab Journal of Mathematical Sciences 1 Doklady Mathematics 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Mathematical Geology 1 AIMS Series on Random and Computational Dynamics all top 5 Fields 39 Dynamical systems and ergodic theory (37-XX) 24 Systems theory; control (93-XX) 16 Numerical analysis (65-XX) 14 General topology (54-XX) 12 Ordinary differential equations (34-XX) 11 Probability theory and stochastic processes (60-XX) 9 Mathematical logic and foundations (03-XX) 8 Difference and functional equations (39-XX) 8 Operator theory (47-XX) 8 Computer science (68-XX) 7 Statistics (62-XX) 6 Biology and other natural sciences (92-XX) 5 Convex and discrete geometry (52-XX) 5 Information and communication theory, circuits (94-XX) 4 Real functions (26-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Operations research, mathematical programming (90-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Measure and integration (28-XX) 2 Functional analysis (46-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 86 Publications have been cited 1,344 times in 921 Documents Cited by ▼ Year ▼ Metric spaces of fuzzy sets: theory and applications. Zbl 0873.54019Diamond, Phil; Kloeden, Peter 349 1994 Fuzzy least squares. Zbl 0663.65150Diamond, Phil 155 1988 Metric spaces of fuzzy sets. Zbl 0704.54006Diamond, Phil; Kloeden, Peter 114 1990 Multivalued spatial discretization of dynamical systems. Zbl 0843.54041Diamond, P.; Pokrovskij, A.; Kloeden, P. 110 1994 Characterization of compact subsets of fuzzy sets. Zbl 0661.54011Diamond, Phil; Kloeden, Peter 58 1989 Brief note on the variation of constants formula for fuzzy differential equations. Zbl 1021.34048Diamond, Phil 44 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. 32 2000 Anisotropy-based performance analysis of linear discrete time invariant control systems. Zbl 1008.93031Diamond, P.; Vladimirov, I.; Kurdjukov, A.; Semyonov, A. 25 2001 Least squares fitting of compact set-valued data. Zbl 0704.65006Diamond, Phil 25 1990 Anisotropy-based robust performance analysis of finite horizon linear discrete time varying systems. Zbl 1194.93052Vladimirov, I. G.; Diamond, P.; Kloeden, P. 23 2006 Theory and applications of fuzzy Volterra integral equations. Zbl 1142.45302Diamond, P. 20 2002 Fuzzy regression analysis. Zbl 0922.62058Diamond, Phil; Tanaka, Hideo 19 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 15 1994 Metric topology of fuzzy numbers and fuzzy analysis. Zbl 0988.26019Diamond, Phil; Kloeden, Peter 13 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 Absolute retracts and a general fixed point theorem for fuzzy sets. Zbl 0917.54045Diamond, Phil; Kloeden, Peter; Pokrovskii, Aleksej 11 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 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 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 A note on fuzzy starshaped fuzzy sets. Zbl 0702.54008Diamond, Phil 9 1990 Fuzzy kriging. Zbl 0679.62088Diamond, Phil 9 1989 A stochastic functional equation. Zbl 0359.39001Diamond, Phil 9 1977 Semihyperbolic mappings. Zbl 0855.58044Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A. 8 1995 Spatial discretization of mappings. Zbl 0774.65055Diamond, Phil; Kloeden, Peter 8 1993 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 Dual cones in spaces of convex sets and fuzzy sets. Zbl 0874.90194Diamond, Phil; Vladimirov, A.; Kloeden, P. 7 1995 Expansivity of semi-hyperbolic Lipschitz mappings. Zbl 0826.58028Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A. 7 1995 Chaos in iterated fuzzy systems. Zbl 0830.54006Diamond, Phil 7 1994 Statistical properties of discretizations of a class of chaotic dynamical systems. Zbl 0854.34043Diamond, P.; Suzuki, M.; Kloeden, P.; Pokrovskii, P. 6 1996 Computer robustness of semi-hyperbolic mappings. Zbl 0849.58051Diamond, Phil; Kloeden, Peter; Kozyakin, Victor; Pokrovskii, Alexej 6 1995 An invariant measure arising in computer simulation of a chaotic dynamical system. Zbl 0789.58044Diamond, P.; Kloeden, P.; Pokrovskii, A. 6 1994 Approximation of knowledge and fuzzy sets. Zbl 0788.68137Diamond, Phil; Ramer, Arthur 6 1993 Bishadowing and hyperbolicity. Zbl 1043.37017Diamond, Phil; Lee, Keonhee; Han, Yinghao 5 2002 A fuzzy max-flow min-cut theorem. Zbl 1044.90531Diamond, Phil 5 2001 Boundedness and dissipativity of truncated rotations on uniform planar lattices. Zbl 0903.65063Diamond, Phil; Kloeden, Peter; Kozyakin, Victor; Pokrovskii, Alexej 5 1998 Statistical laws for computational collapse of discretized chaotic mappings. Zbl 1298.37073Diamond, Phil; Pokrovskii, Alexei 5 1996 Bi-shadowing and delay equations. Zbl 0854.34064Al-Nayef, A.; Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskij, A. 5 1996 A note on compact sets in spaces of subsets. Zbl 0643.54013Diamond, Phil; Kloeden, Peter 5 1988 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 Absolute stability of positive systems with differential constraints. Zbl 1002.93047Diamond, Phil; Opoitsev, Valery 4 2000 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 Weakly chain recurrent points and spatial discretizations of dynamical systems. Zbl 0806.58028Diamond, Phil; Kloeden, Peter; Pokrovskii, Alexej 4 1994 Interval-valued random functions and the kriging of intervals. Zbl 0970.86500Diamond, Phil 4 1988 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 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 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 Class of discrete Liapunov functions. Zbl 0302.34060Diamond, Phil 3 1975 Semi-hyperbolicity and bi-shadowing. Zbl 1307.37001Diamond, Phil; Kloeden, Peter; Kozyakin, Victor; Pokrovskii, Alexei 2 2012 Set-valued Markov chains and negative semitrajectories of discretized dynamical systems. Zbl 1029.37054Diamond, P.; Vladimirov, I. 2 2002 Stability of linear difference and differential inclusions. Zbl 1082.34509Diamond, P.; Opojtsev, V. I. 2 2001 Estimates of the real structured radius of stability of linear dynamic systems. Zbl 1092.93581Bobylev, N. A.; Bulatov, A. V.; Diamond, Phil 2 2001 Asymptotic independence and uniform distribution of quantization errors for spatially discretized dynamical systems. Zbl 0948.37057Diamond, P.; Vladimirov, I. 2 1998 Total uncertainty revisited. Zbl 0888.68110Ramer, Arthur; Hiller, John; Diamond, Phil; Padet, Colette 2 1997 Analysis of an algorithm for computing invariant measures. Zbl 0826.58022Diamond, Phil; Kloeden, Peter; Pokrovskij, Alexej 2 1995 Numerical modeling of toroidal dynamical systems with invariant Lebesgue measure. Zbl 0821.65053Diamond, Phil; Kloeden, Peter; Pokrovskij, Alexej 2 1993 Congruence classes of fuzzy sets form a Banach space. Zbl 0769.46057Diamond, Phil 2 1991 Nonlinear integral operators and chaos in Banach spaces. Zbl 0605.45013Diamond, Phil 2 1987 The stability of the interaction between entomophagous parasites and their host. Zbl 0272.92006Diamond, Phil 2 1974 Semi-hyperbolicity and bi-shadowing in nonautonomous difference equations with Lipschitz mappings. Zbl 1154.39022Diamond, Phil; Kloeden, P. E.; Kozyakin, V. S. 1 2008 Stability of a class of differential inclusions. Zbl 1010.34003Diamond, Phil; Opoitsev, Valery 1 2001 Higher-order terms in asymptotic expansion for information loss in quantized random processes. Zbl 0992.94021Diamond, Phil; Vladimirov, Igor 1 2001 Stability of nonlinear difference inclusions. Zbl 0989.39005Diamond, 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 Chaos and fuzzy systems. Zbl 0921.93026Diamond, Phil 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 The minimal center of attraction of measurable systems and their discretizations. Zbl 0852.58061Diamond, Phil; Kloeden, Peter; Pokrovskij, Aleksej 1 1996 Robustness of the observable behavior of semihyperbolic dynamic systems. Zbl 0931.93029Diamond, P.; Kloeden, P.; Kozyakin, V. S.; Pokrovskij, A. V. 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 On the fragmentary complexity of symbolic sequences. Zbl 0873.68120Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A. 1 1995 Cycles of spatial discretizations of shadowing dynamical systems. Zbl 0817.58021Diamond, Phil; Kloeden, Peter; Pokrovskij, Aleksej 1 1995 Shadowing and approximation in dynamical systems. Zbl 0856.58032Diamond, P.; Kloeden, P.; Pokrovskij, A. 1 1994 Chaotic phenomena in desynchronized systems and stability analysis. Zbl 0774.93057Asarin, E.; Diamond, Phil; Fomenko, I.; Pokrovskij, A. 1 1993 Iterated maps on discretized meshes of the unit interval. Zbl 0725.65069Diamond, Phil 1 1991 Fixed points of iterates of multivalued mappings. Zbl 0689.47018Diamond, Phil 1 1989 Slowly varying functions of two variables and a Tauberian theorem for the double Laplace transform. Zbl 0586.44004Diamond, Phil 1 1987 Regions of local stability for non-autonomous discrete systems. Zbl 0378.93036Diamond, Phil 1 1978 Stochastic exponential stability concepts and large-scale discrete systems. Zbl 0312.93046Diamond, Phil 1 1975 Fractional iteration and a generalised Abel’s equation in two variables. Zbl 0215.40903Diamond, Phil 1 1971 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. 23 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 44 2002 Theory and applications of fuzzy Volterra integral equations. Zbl 1142.45302Diamond, P. 20 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 Anisotropy-based performance analysis of linear discrete time invariant control systems. Zbl 1008.93031Diamond, P.; Vladimirov, I.; Kurdjukov, A.; Semyonov, A. 25 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 Stability of linear difference and differential inclusions. Zbl 1082.34509Diamond, P.; Opojtsev, V. I. 2 2001 Estimates of the real structured radius of stability of linear dynamic systems. Zbl 1092.93581Bobylev, N. A.; Bulatov, A. V.; Diamond, Phil 2 2001 Stability of a class of differential inclusions. Zbl 1010.34003Diamond, Phil; Opoitsev, Valery 1 2001 Higher-order terms in asymptotic expansion for information loss in quantized random processes. Zbl 0992.94021Diamond, Phil; Vladimirov, Igor 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. 32 2000 Metric topology of fuzzy numbers and fuzzy analysis. Zbl 0988.26019Diamond, Phil; Kloeden, Peter 13 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 19 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 Statistical laws for computational collapse of discretized chaotic mappings. Zbl 1298.37073Diamond, Phil; Pokrovskii, Alexei 5 1996 Bi-shadowing and delay equations. Zbl 0854.34064Al-Nayef, A.; Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskij, A. 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 Dual cones in spaces of convex sets and fuzzy sets. Zbl 0874.90194Diamond, Phil; Vladimirov, A.; Kloeden, P. 7 1995 Expansivity of semi-hyperbolic Lipschitz mappings. Zbl 0826.58028Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A. 7 1995 Computer robustness of semi-hyperbolic mappings. Zbl 0849.58051Diamond, Phil; Kloeden, Peter; Kozyakin, Victor; Pokrovskii, Alexej 6 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 Robustness of the observable behavior of semihyperbolic dynamic systems. Zbl 0931.93029Diamond, P.; Kloeden, P.; Kozyakin, V. S.; Pokrovskij, A. V. 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 On the fragmentary complexity of symbolic sequences. Zbl 0873.68120Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A. 1 1995 Cycles of spatial discretizations of shadowing dynamical systems. Zbl 0817.58021Diamond, Phil; Kloeden, Peter; Pokrovskij, Aleksej 1 1995 Metric spaces of fuzzy sets: theory and applications. Zbl 0873.54019Diamond, Phil; Kloeden, Peter 349 1994 Multivalued spatial discretization of dynamical systems. Zbl 0843.54041Diamond, P.; Pokrovskij, A.; Kloeden, P. 110 1994 Chaos, entropy and a generalized extension principle. Zbl 0827.58037Diamond, Phil; Pokrovskii, Aleksej 15 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. 6 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 8 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 114 1990 Least squares fitting of compact set-valued data. Zbl 0704.65006Diamond, Phil 25 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 58 1989 Fuzzy kriging. Zbl 0679.62088Diamond, Phil 9 1989 Fixed points of iterates of multivalued mappings. Zbl 0689.47018Diamond, Phil 1 1989 Fuzzy least squares. Zbl 0663.65150Diamond, Phil 155 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 4 1988 Nonlinear integral operators and chaos in Banach spaces. Zbl 0605.45013Diamond, Phil 2 1987 Slowly varying functions of two variables and a Tauberian theorem for the double Laplace transform. Zbl 0586.44004Diamond, 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 2 1974 Fractional iteration and a generalised Abel’s equation in two variables. Zbl 0215.40903Diamond, Phil 1 1971 all cited Publications top 5 cited Publications all top 5 Cited by 1,010 Authors 35 Diamond, Phil 27 Kloeden, Peter Eris 24 Colubi, Ana 24 Wu, Congxin 20 Chalco-Cano, Yurilev 18 Pokrovskiĭ, Alexeĭ Vadimovich 17 Gil, María Angeles 17 Gong, Zengtai 17 Khastan, Alireza 17 Rodríguez-López, Rosana 16 González-Rodríguez, Gil 16 Kurdyukov, Alexander P. 16 Nieto Roig, Juan Jose 16 Román-Flores, Heriberto E. 14 Allahviranloo, Tofigh 13 Coroianu, Lucian C. 13 Huang, Huan 13 Malinowski, Marek T. 12 Abbasbandy, Saeid 12 D’Urso, Pierpaolo 12 Feng, Yuhu 12 Qiu, Dong 11 Blanco-Fernández, Angela 11 Savaş, Ekrem 11 Syau, Yu-Ru 10 Bede, Barnabás 10 Kandel, Abraham 9 Hong, Dug Hun 9 Kozyakin, Viktor Sergeevich 9 Kupka, Jiří 9 Lubiano, María Asunción 9 Ma, Ming 8 Et, Mikail 8 López-Díaz, Miguel 8 Montenegro, Manuel 8 O’Regan, Donal 8 Sinova, Beatriz 8 Tchaikovsky, Michael M. 8 Yoshida, Yuji 7 Agarwal, Ravi P. 7 Altinok, Hifsi 7 Aytar, Salih 7 Chen, Minghao 7 Lakshmikantham, Vangipuram 7 Michta, Mariusz 7 Ramos-Guajardo, Ana Belén 7 Rojas-Medar, Marko Antonio 7 Shao, Yabin 7 Stefanini, Luciano 7 Timin, Victor N. 7 Wu, Hsien-Chung 7 Xue, Xiaoping 7 Yoon, Jin Hee 6 Ban, Adrian I. 6 Bassanezi, Rodney Carlos 6 Bica, Alexandru Mihai 6 Çolak, Rifat 6 de la Rosa de Sáa, Sara 6 Friedman, Menahem 6 Ghatee, Mehdi 6 Kustov, Arkadiy Yu. 6 Lee, E. Stanley 6 Liu, Puyin 6 Mondal, Sankar Prasad 6 Nasrabadi, Ebrahim 6 Näther, Wolfgang 6 Pedrycz, Witold 6 Pehlivan, Serpil 6 Ralescu, Dan A. 6 Salahshour, Soheil 6 Vladimirov, Igor G. 5 Andrianova, Olga G. 5 Buckley, James J. 5 Cecconello, Moiseis S. 5 Coppi, Renato 5 Couso, Inés 5 Fang, Jinxuan 5 García-Bárzana, Marta 5 Grzegorzewski, Przemysław 5 Hashemi, S. Mehdi 5 Hesamian, Gholamreza 5 Kim, Yun Kyong 5 Kratschmer, Volker 5 Li, Fachao 5 Rachinskii, Dmitrii I. 5 Rufián-Lizana, Antonio 5 Santoro, Adriana 5 Shapiro, Arnold F. 5 Terán, Pedro 5 Wang, Guixiang 4 Akbari, Mohammad Ghasem 4 Al-Nayef, Anwar A. 4 Aliev, Rafik Aziz 4 Altin, Yavuz 4 Andres, Jan 4 Apaydın, Ayşen 4 Baier, Robert 4 Boukezzoula, Reda 4 Casals, María Rosa 4 Choi, Seung Hoe ...and 910 more Authors all top 5 Cited in 171 Serials 267 Fuzzy Sets and Systems 71 Information Sciences 36 Soft Computing 29 Computers & Mathematics with Applications 24 International Journal of Approximate Reasoning 24 Automation and Remote Control 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 Journal of Mathematical Analysis and Applications 15 Computational Statistics and Data Analysis 14 Applied Mathematics and Computation 13 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 10 Chaos, Solitons and Fractals 10 Mathematical and Computer Modelling 9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 9 Fuzzy Optimization and Decision Making 8 International Journal of General Systems 8 Journal of Computational and Applied Mathematics 8 Applied Mathematics Letters 8 Journal of Difference Equations and Applications 8 Journal of Intelligent and Fuzzy Systems 8 Iranian Journal of Fuzzy Systems 7 Computational and Applied Mathematics 7 Abstract and Applied Analysis 7 Journal of Nonlinear Science and Applications 6 Insurance Mathematics & Economics 6 European Journal of Operational Research 6 Journal of Inequalities and Applications 6 Fixed Point Theory and Applications 6 Advances in Difference Equations 5 International Journal of Control 5 Systems & Control Letters 5 Aequationes Mathematicae 5 Nonlinear Analysis. Theory, Methods & Applications 4 International Journal of Systems Science 4 Journal of Optimization Theory and Applications 4 Physica D 4 Applied Mathematical Modelling 4 International Journal of Computer Mathematics 4 Chaos 4 Journal of Applied Mathematics 4 New Mathematics and Natural Computation 3 Metrika 3 International Journal of Mathematics and Mathematical Sciences 3 Journal of Differential Equations 3 Metron 3 Proceedings of the American Mathematical Society 3 Results in Mathematics 3 Statistics & Probability Letters 3 Journal of Nonlinear Science 3 Dynamical Systems 3 Journal of Applied Mathematics and Computing 3 Advances in Data Analysis and Classification. ADAC 3 Advances in Fuzzy Systems 3 Symmetry 2 Bulletin of the Australian Mathematical Society 2 Journal of the Franklin Institute 2 Journal of Statistical Physics 2 Mathematical Biosciences 2 Automatica 2 Journal of Statistical Planning and Inference 2 Kybernetika 2 Mathematics and Computers in Simulation 2 Stochastic Analysis and Applications 2 Optimization 2 Computers & Operations Research 2 Economics Letters 2 Computational Statistics 2 Journal of Dynamics and Differential Equations 2 Test 2 Journal of Computer and Systems Sciences International 2 Mathematical Problems in Engineering 2 Journal of Applied Analysis 2 Doklady Mathematics 2 Optimization Methods & Software 2 Differential Equations 2 Nonlinear Analysis. Real World Applications 2 Mathematical Geology 2 Stochastics and Dynamics 2 Boletim da Sociedade Paranaense de Matemática. Terceira Série 2 Journal of Statistical Theory and Practice 2 Advances in Mathematical Physics 2 Journal of Linear and Topological Algebra 2 Journal of Function Spaces 1 Applicable Analysis 1 Ukrainian Mathematical Journal 1 Annals of the Institute of Statistical Mathematics 1 Computing 1 Demonstratio Mathematica 1 Functional Analysis and its Applications 1 Journal of Approximation Theory 1 Journal of Mathematical Economics 1 Journal of Soviet Mathematics 1 Numerical Functional Analysis and Optimization 1 Opsearch 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 SIAM Journal on Control and Optimization 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 Cybernetics and Systems 1 Ergodic Theory and Dynamical Systems ...and 71 more Serials all top 5 Cited in 44 Fields 189 Statistics (62-XX) 162 Mathematical logic and foundations (03-XX) 162 Real functions (26-XX) 150 Ordinary differential equations (34-XX) 88 Dynamical systems and ergodic theory (37-XX) 80 Probability theory and stochastic processes (60-XX) 79 Systems theory; control (93-XX) 78 Operations research, mathematical programming (90-XX) 75 Numerical analysis (65-XX) 74 General topology (54-XX) 61 Computer science (68-XX) 48 Measure and integration (28-XX) 44 Sequences, series, summability (40-XX) 42 Functional analysis (46-XX) 41 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 31 Operator theory (47-XX) 27 Difference and functional equations (39-XX) 27 Biology and other natural sciences (92-XX) 24 Integral equations (45-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 17 Approximations and expansions (41-XX) 15 Information and communication theory, circuits (94-XX) 13 Convex and discrete geometry (52-XX) 10 Partial differential equations (35-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 6 General algebraic systems (08-XX) 5 Geophysics (86-XX) 3 Combinatorics (05-XX) 3 Integral transforms, operational calculus (44-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Number theory (11-XX) 2 Topological groups, Lie groups (22-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year