×
Edit Profile (opens in new tab)

Forti, Mauro

Co-Author Distance
Author ID: forti.mauro Recent zbMATH articles by "Forti, Mauro"
Published as: Forti, Mauro; Forti, M.
External Links: ORCID · dblp
Documents Indexed: 46 Publications since 1973, including 1 Book
Co-Authors: 17 Co-Authors with 37 Joint Publications
447 Co-Co-Authors
all top 5

Co-Authors

5 single-authored
23 Di Marco, Mauro
17 Pancioni, Luca
14 Tesi, Alberto
13 Grazzini, Massimo
6 Nistri, Paolo
3 Innocenti, Giacomo
3 Manetti, Stefano
3 Marini, Mauro
2 Corinto, Fernando
2 Premoli, Amedeo
2 Viola, Carlo
1 Avitabile, Gennaro
1 Cellini, Paola
1 Chua, Leon Ong
1 De Sandre, Guido
1 Di Mauro, Marco
1 Garay, Barnabas M.
1 Hinnion, Roland
1 Koller, Miklós
1 Quincampoix, Marc
all top 5

Serials

11 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
8 International Journal of Circuit Theory and Applications
7 IEEE Transactions on Circuits and Systems I: Regular Papers
4 IEEE Transactions on Circuits and Systems. I: Fundamental Theory and Applications
2 Journal of the Franklin Institute
1 Journal of Mathematical Analysis and Applications
1 Acta Arithmetica
1 IEEE Transactions on Circuits and Systems
1 Journal of Algebra
1 Journal of Differential Equations
1 The Journal of Symbolic Logic
1 Physica D
1 Neural Networks
1 Nonlinear Dynamics
1 EURASIP Journal on Advances in Signal Processing
all top 5

Fields

26 Biology and other natural sciences (92-XX)
22 Ordinary differential equations (34-XX)
12 Information and communication theory, circuits (94-XX)
11 Dynamical systems and ergodic theory (37-XX)
10 Computer science (68-XX)
9 Systems theory; control (93-XX)
3 Number theory (11-XX)
3 Operations research, mathematical programming (90-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 Mathematical logic and foundations (03-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Group theory and generalizations (20-XX)
1 Mechanics of particles and systems (70-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

35 Publications have been cited 897 times in 669 Documents Cited by ▼ Year ▼
New conditions for global stability of neural networks with application to linear and quadratic programming problems. Zbl 0849.68105
Forti, Mauro; Tesi, Alberto
246
1995
Global convergence of neural networks with discontinuous neuron activations. Zbl 1368.34024
Forti, M.; Nistri, P.
191
2003
Generalized Lyapunov approach for convergence of neural networks with discontinuous or non-Lipschitz activations. Zbl 1103.34044
Forti, M.; Grazzini, M.; Nistri, P.; Pancioni, L.
127
2006
Generalized neural network for nonsmooth nonlinear programming problems. Zbl 1374.90356
Forti, Mauro; Nistri, Paolo; Quincampoix, Marc
67
2004
On global asymptotic stability of a class of nonlinear systems arising in neural network theory. Zbl 0828.34039
Forti, Mauro
60
1994
Necessary and sufficient condition for absolute stability of neural networks. Zbl 0925.92014
Forti, Mauro; Manetti, Stefano; Marini, Mauro
44
1994
A condition for global convergence of a class of symmetric neural circuits. Zbl 0775.92005
Forti, Mauro; Manetti, Stefano; Marini, Mauro
24
1992
The consistency problem for positive comprehension principles. Zbl 0702.03026
Forti, M.; Hinnion, R.
16
1989
A new method to analyze complete stability of PWL cellular neural networks. Zbl 1090.37567
Forti, M.; Tesi, A.
13
2001
Bifurcations and oscillatory behavior in a class of competitive cellular neural networks. Zbl 1090.37565
Di Marco, M.; Tesi, A.; Forti, M.
12
2000
Necessary and sufficient condition for multistability of neural networks evolving on a closed hypercube. Zbl 1322.93011
Di Marco, Mauro; Forti, Mauro; Grazzini, Massimo; Pancioni, Luca
12
2014
Complex dynamics in arrays of memristor oscillators via the flux-charge method. Zbl 1469.94188
Corinto, Fernando; Forti, Mauro
11
2018
\(M\)-matrices and global convergence of discontinuous neural networks. Zbl 1131.92004
Forti, Mauro
10
2007
Absolute stability of analytic neural networks: an approach based on finite trajectory length. Zbl 1371.93151
Forti, M.; Tesi, A.
9
2004
Dynamical analysis of full-range cellular neural networks by exploiting differential variational inequalities. Zbl 1374.82020
De Sandre, Guido; Forti, Mauro; Nistri, Paolo; Premoli, Amedeo
8
2007
The Łojasiewicz exponent at an equilibrium point of a standard CNN is \(1/2\). Zbl 1192.37116
Forti, Mauro; Tesi, Alberto
8
2006
On a class of nonsymmetrical neural networks with application to ADC. Zbl 0709.68621
Avitabile, G.; Forti, M.; Manetti, S.; Marini, M.
7
1991
Limit set dichotomy and convergence of cooperative piecewise linear neural networks. Zbl 1468.37061
Di Marco, Mauro; Forti, Mauro; Grazzini, Massimo; Pancioni, Luca
7
2011
Stability of memristor neural networks with delays operating in the flux-charge domain. Zbl 1395.93442
Di Marco, Mauro; Forti, Mauro; Pancioni, Luca
7
2018
Fourth-order nearly-symmetric CNNs exhibiting complex dynamics. Zbl 1092.34533
Di Marco, M.; Forti, M.; Grazzini, M.; Pancioni, L.
5
2005
Nonlinear circuits and systems with memristors. Nonlinear dynamics and analogue computing via the flux-charge analysis method. Zbl 1486.94001
Corinto, Fernando; Forti, Mauro; Chua, Leon O.
5
2021
Convergence of a class of cooperative standard cellular neural network arrays. Zbl 1468.34084
Di Marco, Mauro; Forti, Mauro; Grazzini, Massimo; Pancioni, Luca
5
2012
Prediction of period doubling bifurcations in harmonically forced memristor circuits. Zbl 1437.94106
Innocenti, Giacomo; Di Marco, Mauro; Forti, Mauro; Tesi, Alberto
4
2019
On large sieve type estimates for the Dirichlet series operator. Zbl 0268.10027
Forti, M.; Viola, C.
3
1973
On global exponential stability of standard and full-range CNNs. Zbl 1191.94179
Di Marco, Mauro; Forti, Mauro; Grazzini, Massimo; Pancioni, Luca
3
2008
Limit set dichotomy and convergence of semiflows defined by cooperative standard CNNs. Zbl 1208.34081
Di Marco, Mauro; Forti, Mauro; Grazzini, Massimo; Pancioni, Luca
3
2010
Robustness of convergence in finite time for linear programming neural networks. Zbl 1123.90335
Di Mauro, Marco; Forti, Mauro; Grazzini, Massimo
2
2006
On the effect of neuron activation gain on robustness of complete stability. Zbl 1065.92002
Di Marco, M.; Forti, M.; Nistri, P.; Tesi, A.
1
2004
Floquet multipliers of a metastable rotating wave in a Chua-Yang ring network. Zbl 1383.34058
Di Marco, Mauro; Forti, Mauro; Garay, Barnabas M.; Koller, Miklós; Pancioni, Luca
1
2016
Density estimates for the zeros of L-functions. Zbl 0268.10028
Forti, M.; Viola, C.
1
1973
Convergence of discrete-time cellular neural networks with application to image processing. Zbl 1539.68298
Di Marco, Mauro; Forti, Mauro; Pancioni, Luca; Tesi, Alberto
1
2023
On absolute stability of convergence for nonlinear neural network models. Zbl 1203.93186
Di Marco, Mauro; Forti, Mauro; Tesi, Alberto
1
2003
Convergent dynamics of nonreciprocal differential variational inequalities modeling neural networks. Zbl 1468.92010
Di Marco, Mauro; Forti, Mauro; Grazzini, Massimo; Pancioni, Luca
1
2013
Extended LaSalle’s invariance principle for full-range cellular neural networks. Zbl 1184.94151
Di Marco, Mauro; Forti, Mauro; Grazzini, Massimo; Pancioni, Luca
1
2009
Input-output characterization of the dynamical properties of circuits with a memelement. Zbl 1473.94167
Innocenti, Giacomo; Di Marco, Mauro; Tesi, Alberto; Forti, Mauro
1
2020
Convergence of discrete-time cellular neural networks with application to image processing. Zbl 1539.68298
Di Marco, Mauro; Forti, Mauro; Pancioni, Luca; Tesi, Alberto
1
2023
Nonlinear circuits and systems with memristors. Nonlinear dynamics and analogue computing via the flux-charge analysis method. Zbl 1486.94001
Corinto, Fernando; Forti, Mauro; Chua, Leon O.
5
2021
Input-output characterization of the dynamical properties of circuits with a memelement. Zbl 1473.94167
Innocenti, Giacomo; Di Marco, Mauro; Tesi, Alberto; Forti, Mauro
1
2020
Prediction of period doubling bifurcations in harmonically forced memristor circuits. Zbl 1437.94106
Innocenti, Giacomo; Di Marco, Mauro; Forti, Mauro; Tesi, Alberto
4
2019
Complex dynamics in arrays of memristor oscillators via the flux-charge method. Zbl 1469.94188
Corinto, Fernando; Forti, Mauro
11
2018
Stability of memristor neural networks with delays operating in the flux-charge domain. Zbl 1395.93442
Di Marco, Mauro; Forti, Mauro; Pancioni, Luca
7
2018
Floquet multipliers of a metastable rotating wave in a Chua-Yang ring network. Zbl 1383.34058
Di Marco, Mauro; Forti, Mauro; Garay, Barnabas M.; Koller, Miklós; Pancioni, Luca
1
2016
Necessary and sufficient condition for multistability of neural networks evolving on a closed hypercube. Zbl 1322.93011
Di Marco, Mauro; Forti, Mauro; Grazzini, Massimo; Pancioni, Luca
12
2014
Convergent dynamics of nonreciprocal differential variational inequalities modeling neural networks. Zbl 1468.92010
Di Marco, Mauro; Forti, Mauro; Grazzini, Massimo; Pancioni, Luca
1
2013
Convergence of a class of cooperative standard cellular neural network arrays. Zbl 1468.34084
Di Marco, Mauro; Forti, Mauro; Grazzini, Massimo; Pancioni, Luca
5
2012
Limit set dichotomy and convergence of cooperative piecewise linear neural networks. Zbl 1468.37061
Di Marco, Mauro; Forti, Mauro; Grazzini, Massimo; Pancioni, Luca
7
2011
Limit set dichotomy and convergence of semiflows defined by cooperative standard CNNs. Zbl 1208.34081
Di Marco, Mauro; Forti, Mauro; Grazzini, Massimo; Pancioni, Luca
3
2010
Extended LaSalle’s invariance principle for full-range cellular neural networks. Zbl 1184.94151
Di Marco, Mauro; Forti, Mauro; Grazzini, Massimo; Pancioni, Luca
1
2009
On global exponential stability of standard and full-range CNNs. Zbl 1191.94179
Di Marco, Mauro; Forti, Mauro; Grazzini, Massimo; Pancioni, Luca
3
2008
\(M\)-matrices and global convergence of discontinuous neural networks. Zbl 1131.92004
Forti, Mauro
10
2007
Dynamical analysis of full-range cellular neural networks by exploiting differential variational inequalities. Zbl 1374.82020
De Sandre, Guido; Forti, Mauro; Nistri, Paolo; Premoli, Amedeo
8
2007
Generalized Lyapunov approach for convergence of neural networks with discontinuous or non-Lipschitz activations. Zbl 1103.34044
Forti, M.; Grazzini, M.; Nistri, P.; Pancioni, L.
127
2006
The Łojasiewicz exponent at an equilibrium point of a standard CNN is \(1/2\). Zbl 1192.37116
Forti, Mauro; Tesi, Alberto
8
2006
Robustness of convergence in finite time for linear programming neural networks. Zbl 1123.90335
Di Mauro, Marco; Forti, Mauro; Grazzini, Massimo
2
2006
Fourth-order nearly-symmetric CNNs exhibiting complex dynamics. Zbl 1092.34533
Di Marco, M.; Forti, M.; Grazzini, M.; Pancioni, L.
5
2005
Generalized neural network for nonsmooth nonlinear programming problems. Zbl 1374.90356
Forti, Mauro; Nistri, Paolo; Quincampoix, Marc
67
2004
Absolute stability of analytic neural networks: an approach based on finite trajectory length. Zbl 1371.93151
Forti, M.; Tesi, A.
9
2004
On the effect of neuron activation gain on robustness of complete stability. Zbl 1065.92002
Di Marco, M.; Forti, M.; Nistri, P.; Tesi, A.
1
2004
Global convergence of neural networks with discontinuous neuron activations. Zbl 1368.34024
Forti, M.; Nistri, P.
191
2003
On absolute stability of convergence for nonlinear neural network models. Zbl 1203.93186
Di Marco, Mauro; Forti, Mauro; Tesi, Alberto
1
2003
A new method to analyze complete stability of PWL cellular neural networks. Zbl 1090.37567
Forti, M.; Tesi, A.
13
2001
Bifurcations and oscillatory behavior in a class of competitive cellular neural networks. Zbl 1090.37565
Di Marco, M.; Tesi, A.; Forti, M.
12
2000
New conditions for global stability of neural networks with application to linear and quadratic programming problems. Zbl 0849.68105
Forti, Mauro; Tesi, Alberto
246
1995
On global asymptotic stability of a class of nonlinear systems arising in neural network theory. Zbl 0828.34039
Forti, Mauro
60
1994
Necessary and sufficient condition for absolute stability of neural networks. Zbl 0925.92014
Forti, Mauro; Manetti, Stefano; Marini, Mauro
44
1994
A condition for global convergence of a class of symmetric neural circuits. Zbl 0775.92005
Forti, Mauro; Manetti, Stefano; Marini, Mauro
24
1992
On a class of nonsymmetrical neural networks with application to ADC. Zbl 0709.68621
Avitabile, G.; Forti, M.; Manetti, S.; Marini, M.
7
1991
The consistency problem for positive comprehension principles. Zbl 0702.03026
Forti, M.; Hinnion, R.
16
1989
On large sieve type estimates for the Dirichlet series operator. Zbl 0268.10027
Forti, M.; Viola, C.
3
1973
Density estimates for the zeros of L-functions. Zbl 0268.10028
Forti, M.; Viola, C.
1
1973
all cited Publications top 5 cited Publications
all top 5

Cited by 948 Authors

71 Huang, Lihong
70 Cao, Jinde
26 Cai, Zuowei
22 Zeng, Zhigang
21 Forti, Mauro
19 Guo, Zhenyuan
18 Di Marco, Mauro
16 Kong, Fanchao
16 Wu, Huaiqin
14 Jiang, Haijun
14 Pancioni, Luca
14 Wang, Jun
13 Chen, Tianping
13 Zhang, Jiye
12 Cui, Baotong
12 Wang, Zengyun
11 Zhao, Hongyong
10 Duan, Lian
10 Huang, Tingwen
10 Mohamad, Sannay
10 Qin, Sitian
10 Tesi, Alberto
10 Yang, Xinsong
10 Zhu, Quanxin
9 Grazzini, Massimo
9 Hu, Cheng
9 Xue, Xiaoping
9 Zhang, Lingling
8 Liao, Xiaofeng
8 Liu, Xiaoyang
8 Lu, Wenlian
8 Wang, Dongshu
8 Wang, Jiafu
8 Wang, Leimin
7 Arik, Sabri
7 Costarelli, Danilo
7 Ho, Daniel W. C.
7 Lam, James
7 Liang, Jinling
7 Song, Qiankun
7 Vinti, Gianluca
7 Yuan, Zhaohui
6 Alsaadi, Fuad Eid Salem
6 Aouiti, Chaouki
6 Bisht, Ravindra Kishor
6 Huang, Chuangxia
6 Pant, Rajendra Prasad
6 Rakkiyappan, Rajan
6 Tatar, Nasser-eddine
6 Wang, Lin
6 Wang, Zhanshan
6 Yılmaz Özgür, Nihal
5 Gopalsamy, Kondalsamy
5 Huang, Zhenkun
5 Li, Chuandong
5 Liu, Qingshan
5 Lou, Xuyang
5 Sakthivel, Rathinasamy
5 Wu, Ailong
5 Wu, Wei
5 Xu, Shengyuan
5 Yang, Yongqing
5 Zhang, Guodong
5 Zheng, Chengde
4 Abdurahman, Abdujelil
4 Balasubramaniam, Pagavathigounder
4 Chen, Anping
4 Hayat, Tasawar
4 Hosseini, Alireza
4 Huang, Jianhua
4 Innocenti, Giacomo
4 Li, Xuemei
4 Liu, Xinzhi
4 Nie, Xiaobing
4 Nieto Roig, Juan Jose
4 Nistri, Paolo
4 Oliveira, José J.
4 Pant, Abhijit
4 Peng, Jigen
4 Raja, Ramachandran
4 Singh, Vimal
4 Tas, Nihal Arabacioglu
4 Wang, Zhen
4 Wen, Shiping
4 Xia, Yonghui
4 Yan, Zheng
4 Yi, Zhang
4 Yu, Juan
4 Zhang, Lingzhong
4 Zhong, Shou-Ming
3 Bessifi, Mayssa
3 Bian, Wei
3 Chen, Guanrong
3 Chen, Jiejie
3 Feng, Chunbo
3 Fu, Xiangying
3 Hosseini, Seyed Mohammad
3 Hu, Dewen
3 Hu, Junhao
3 Huang, Chengdai
...and 848 more Authors
all top 5

Cited in 121 Serials

97 Neural Networks
44 Chaos, Solitons and Fractals
36 Journal of the Franklin Institute
35 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
34 Applied Mathematics and Computation
27 Physics Letters. A
24 Nonlinear Analysis. Real World Applications
20 Nonlinear Dynamics
15 Neural Computation
13 Mathematical Methods in the Applied Sciences
12 Communications in Nonlinear Science and Numerical Simulation
11 Applied Mathematical Modelling
11 Advances in Difference Equations
10 Journal of Mathematical Analysis and Applications
10 Information Sciences
8 International Journal of Systems Science
8 Circuits, Systems, and Signal Processing
8 Chaos
8 Discrete Dynamics in Nature and Society
7 International Journal of Control
7 Fuzzy Sets and Systems
7 International Journal of Circuit Theory and Applications
7 Journal of Computational and Applied Mathematics
7 Mathematics and Computers in Simulation
7 International Journal of Robust and Nonlinear Control
7 Nonlinear Analysis. Modelling and Control
6 Computers & Mathematics with Applications
6 Mathematical and Computer Modelling
6 Mathematical Problems in Engineering
6 International Journal of Nonlinear Sciences and Numerical Simulation
6 Discrete and Continuous Dynamical Systems. Series B
5 Physica D
5 Abstract and Applied Analysis
4 Physica A
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 International Journal of Adaptive Control and Signal Processing
4 Complexity
4 European Journal of Control
4 International Journal of Biomathematics
3 Automatica
3 Theoretical Computer Science
3 Applied Mathematics and Mechanics. (English Edition)
3 Applied Mathematics Letters
3 Computational and Applied Mathematics
3 Filomat
3 Soft Computing
3 Journal of Systems Science and Complexity
3 Journal of Applied Mathematics
3 Journal of Fixed Point Theory and Applications
3 Chinese Journal of Physics (Taipei)
3 International Journal of Systems Science. Principles and Applications of Systems and Integration
2 Journal of Optimization Theory and Applications
2 Proceedings of the American Mathematical Society
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 SIAM Journal on Control and Optimization
2 Systems & Control Letters
2 Acta Applicandae Mathematicae
2 Optimization
2 International Journal of Computer Mathematics
2 Journal of Inequalities and Applications
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Journal of Applied Mathematics and Computing
2 Mediterranean Journal of Mathematics
2 Journal of Industrial and Management Optimization
2 Applicable Analysis and Discrete Mathematics
2 Nonlinear Analysis. Hybrid Systems
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Asian Journal of Control
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Applicable Analysis
1 Journal of Mathematical Biology
1 Journal of Mathematical Physics
1 Mathematical Biosciences
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Acta Mathematica Vietnamica
1 Journal of Computer and System Sciences
1 Journal of Differential Equations
1 Mathematische Nachrichten
1 Mathematica Slovaca
1 Numerical Functional Analysis and Optimization
1 Results in Mathematics
1 Ricerche di Matematica
1 Cybernetics and Systems
1 Zeitschrift für Analysis und ihre Anwendungen
1 Statistics & Probability Letters
1 MCSS. Mathematics of Control, Signals, and Systems
1 Annals of Operations Research
1 Numerical Algorithms
1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 Aequationes Mathematicae
1 SIAM Journal on Mathematical Analysis
1 SIAM Review
1 Journal of Dynamics and Differential Equations
1 Journal of Nonlinear Science
1 Topological Methods in Nonlinear Analysis
1 Applied Mathematics. Series B (English Edition)
1 Discrete and Continuous Dynamical Systems
1 Neural Processing Letters
1 Differential Equations and Dynamical Systems
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
...and 21 more Serials
all top 5

Cited in 32 Fields

348 Ordinary differential equations (34-XX)
332 Biology and other natural sciences (92-XX)
248 Systems theory; control (93-XX)
107 Computer science (68-XX)
70 Dynamical systems and ergodic theory (37-XX)
43 Operations research, mathematical programming (90-XX)
37 Operator theory (47-XX)
34 Information and communication theory, circuits (94-XX)
17 General topology (54-XX)
15 Numerical analysis (65-XX)
14 Partial differential equations (35-XX)
13 Statistical mechanics, structure of matter (82-XX)
12 Difference and functional equations (39-XX)
9 Real functions (26-XX)
8 Approximations and expansions (41-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
6 Probability theory and stochastic processes (60-XX)
4 Integral equations (45-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Combinatorics (05-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
2 Number theory (11-XX)
2 Mechanics of deformable solids (74-XX)
2 Optics, electromagnetic theory (78-XX)
1 Algebraic geometry (14-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Differential geometry (53-XX)
1 Algebraic topology (55-XX)
1 Statistics (62-XX)
1 Mechanics of particles and systems (70-XX)
1 Fluid mechanics (76-XX)
1 Quantum theory (81-XX)

Citations by Year