## Portaluri, Alessandro

Compute Distance To:
 Author ID: portaluri.alessandro Published as: Portaluri, Alessandro; Portaluri, A.
 Documents Indexed: 40 Publications since 2004 1 Contribution as Editor Co-Authors: 29 Co-Authors with 36 Joint Publications 581 Co-Co-Authors
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### Co-Authors

 5 single-authored 8 Waterstraat, Nils 6 Hu, Xijun 4 Barutello, Vivina L. 3 Paparella, Francesco 3 Piccione, Paolo 3 Wu, Li 3 Yang, Ran 2 Dalbono, Francesca 2 Ferrario, Davide L. 2 Jadanza, Riccardo D. 2 Musso, Monica 2 Offin, Daniel C. 2 Pejsachowicz, Jacobo 1 Abatangelo, Laura 1 Abbondandolo, Alberto 1 Ancona, Fabio 1 Asselle, Luca 1 Cannarsa, Piermarco 1 Capietto, Anna 1 Castelli, Roberto 1 Fenucci, Marco 1 Giambò, Roberto 1 Jones, Christopher K. R. T. 1 Kavle, Henry 1 Marchesi, Giacomo 1 Schwarz, Matthias 1 Tausk, Daniel Victor 1 Terracini, Susanna 1 Xing, Qin
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### Serials

 6 Journal of Differential Equations 3 Journal of Mathematical Analysis and Applications 3 Nonlinearity 3 Journal of Fixed Point Theory and Applications 2 Mathematische Zeitschrift 2 Differential and Integral Equations 2 Calculus of Variations and Partial Differential Equations 2 NoDEA. Nonlinear Differential Equations and Applications 2 Qualitative Theory of Dynamical Systems 1 Archive for Rational Mechanics and Analysis 1 Advances in Mathematics 1 Functional Analysis and its Applications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Acta Applicandae Mathematicae 1 Annals of Global Analysis and Geometry 1 Expositiones Mathematicae 1 Topological Methods in Nonlinear Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Advanced Nonlinear Studies 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Discrete and Continuous Dynamical Systems. Series S 1 Springer INdAM Series
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### Fields

 23 Differential geometry (53-XX) 21 Global analysis, analysis on manifolds (58-XX) 17 Dynamical systems and ergodic theory (37-XX) 14 Mechanics of particles and systems (70-XX) 9 Ordinary differential equations (34-XX) 8 Operator theory (47-XX) 7 Partial differential equations (35-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

34 Publications have been cited 240 times in 113 Documents Cited by Year
Spectral flow, Maslov index and bifurcation of semi-Riemannian geodesics. Zbl 1050.58015
Piccione, Paolo; Portaluri, Alessandro; Tausk, Daniel V.
2004
A Morse index theorem for perturbed geodesics on semi-Riemannian manifolds. Zbl 1101.58012
Musso, Monica; Pejsachowicz, Jacobo; Portaluri, Alessandro
2005
Morse index and linear stability of the Lagrangian circular orbit in a three-body-type problem via index theory. Zbl 1395.70016
Barutello, Vivina; Jadanza, Riccardo D.; Portaluri, Alessandro
2016
The homology of path spaces and Floer homology with conormal boundary conditions. Zbl 1171.53344
Abbondandolo, Alberto; Portaluri, Alessandro; Schwarz, Matthias
2008
Computation of the Maslov index and the spectral flow via partial signatures. Zbl 1039.37006
Giambò, Roberto; Piccione, Paolo; Portaluri, Alessandro
2004
Index theory for heteroclinic orbits of Hamiltonian systems. Zbl 1390.53089
Hu, Xijun; Portaluri, Alessandro
2017
Morse index and bifurcation of $$p$$-geodesics on semi Riemannian manifolds. Zbl 1127.58005
Musso, Monica; Pejsachowicz, Jacobo; Portaluri, Alessandro
2007
Linear instability of relative equilibria for $$n$$-body problems in the plane. Zbl 1291.70028
Barutello, Vivina L.; Jadanza, Riccardo D.; Portaluri, Alessandro
2014
On the dihedral $$n$$-body problem. Zbl 1138.70007
Ferrario, Davide L.; Portaluri, Alessandro
2008
A Morse-Smale index theorem for indefinite elliptic systems and bifurcation. Zbl 1310.35111
Portaluri, Alessandro; Waterstraat, Nils
2015
On bifurcation for semilinear elliptic Dirichlet problems on geodesic balls. Zbl 1318.35017
Portaluri, Alessandro; Waterstraat, Nils
2014
On bifurcation for semilinear elliptic Dirichlet problems and the Morse-Smale index theorem. Zbl 1310.35121
Portaluri, Alessandro; Waterstraat, Nils
2013
Morse-Smale index theorems for elliptic boundary deformation problems. Zbl 1245.35020
Dalbono, Francesca; Portaluri, Alessandro
2012
Bifurcation results for critical points of families of functionals. Zbl 1324.47108
Portaluri, Alessandro; Waterstraat, Nils
2014
Maslov index for Hamiltonian systems. Zbl 1135.53059
Portaluri, Alessandro
2008
Bifurcation of heteroclinic orbits via an index theory. Zbl 1474.37053
Hu, Xijun; Portaluri, Alessandro
2019
Singular dynamics under a weak potential on a sphere. Zbl 1268.70010
Castelli, Roberto; Paparella, Francesco; Portaluri, Alessandro
2013
A $$K$$-theoretical invariant and bifurcation for homoclinics of Hamiltonian systems. Zbl 1364.37121
Portaluri, Alessandro; Waterstraat, Nils
2017
Yet another proof of the Morse index theorem. Zbl 1388.58009
Portaluri, Alessandro; Waterstraat, Nils
2015
A bifurcation result for semi-Riemannian trajectories of the Lorentz force equation. Zbl 1073.58013
Piccione, Paolo; Portaluri, Alessandro
2005
An index theory for asymptotic motions under singular potentials. Zbl 1473.70021
Barutello, Vivina L.; Hu, Xijun; Portaluri, Alessandro; Terracini, Susanna
2020
A $$K$$-theoretical invariant and bifurcation for a parameterized family of functionals. Zbl 1215.58008
Portaluri, Alessandro
2011
Instability of semi-Riemannian closed geodesics. Zbl 1427.58005
Hu, Xijun; Portaluri, Alessandro; Yang, Ran
2019
On a generalized Sturm theorem. Zbl 1205.34027
Portaluri, Alessandro
2010
A multiplicity result for a class of strongly indefinite asymptotically linear second order systems. Zbl 1191.34026
Capietto, Anna; Dalbono, Francesca; Portaluri, Alessandro
2010
A dihedral Bott-type iteration formula and stability of symmetric periodic orbits. Zbl 07169093
Hu, Xijun; Portaluri, Alessandro; Yang, Ran
2020
Morse theory for a fourth order elliptic equation with exponential nonlinearity. Zbl 1218.35087
Abatangelo, Laura; Portaluri, Alessandro
2011
Indefinite Sturm theory. Zbl 1188.34042
Portaluri, A.
2009
Not every conjugate point of a semi-Riemannian geodesic is a bifurcation point. Zbl 1463.58006
Marchesi, Giacomo; Portaluri, Alessandro; Waterstraat, Nils
2018
Keplerian orbits through the Conley-Zehnder index. Zbl 07302073
Kavle, Henry; Offin, Daniel; Portaluri, Alessandro
2021
Linear instability for periodic orbits of non-autonomous Lagrangian systems. Zbl 1456.58013
Portaluri, Alessandro; Wu, Li; Yang, Ran
2021
Dynamics of ($$4+1$$)-dihedrally symmetric nearly parallel vortex filaments. Zbl 1254.70028
Paparella, Francesco; Portaluri, Alessandro
2012
Geometry of stationary solutions for a system of vortex filaments: a dynamical approach. Zbl 1339.70016
Paparella, Francesco; Portaluri, Alessandro
2013
Corrigendum to: “A Morse-Smale index theorem for indefinite elliptic systems and bifurcation”. Zbl 1472.35154
Portaluri, Alessandro; Waterstraat, Nils
2018
Keplerian orbits through the Conley-Zehnder index. Zbl 07302073
Kavle, Henry; Offin, Daniel; Portaluri, Alessandro
2021
Linear instability for periodic orbits of non-autonomous Lagrangian systems. Zbl 1456.58013
Portaluri, Alessandro; Wu, Li; Yang, Ran
2021
An index theory for asymptotic motions under singular potentials. Zbl 1473.70021
Barutello, Vivina L.; Hu, Xijun; Portaluri, Alessandro; Terracini, Susanna
2020
A dihedral Bott-type iteration formula and stability of symmetric periodic orbits. Zbl 07169093
Hu, Xijun; Portaluri, Alessandro; Yang, Ran
2020
Bifurcation of heteroclinic orbits via an index theory. Zbl 1474.37053
Hu, Xijun; Portaluri, Alessandro
2019
Instability of semi-Riemannian closed geodesics. Zbl 1427.58005
Hu, Xijun; Portaluri, Alessandro; Yang, Ran
2019
Not every conjugate point of a semi-Riemannian geodesic is a bifurcation point. Zbl 1463.58006
Marchesi, Giacomo; Portaluri, Alessandro; Waterstraat, Nils
2018
Corrigendum to: “A Morse-Smale index theorem for indefinite elliptic systems and bifurcation”. Zbl 1472.35154
Portaluri, Alessandro; Waterstraat, Nils
2018
Index theory for heteroclinic orbits of Hamiltonian systems. Zbl 1390.53089
Hu, Xijun; Portaluri, Alessandro
2017
A $$K$$-theoretical invariant and bifurcation for homoclinics of Hamiltonian systems. Zbl 1364.37121
Portaluri, Alessandro; Waterstraat, Nils
2017
Morse index and linear stability of the Lagrangian circular orbit in a three-body-type problem via index theory. Zbl 1395.70016
Barutello, Vivina; Jadanza, Riccardo D.; Portaluri, Alessandro
2016
A Morse-Smale index theorem for indefinite elliptic systems and bifurcation. Zbl 1310.35111
Portaluri, Alessandro; Waterstraat, Nils
2015
Yet another proof of the Morse index theorem. Zbl 1388.58009
Portaluri, Alessandro; Waterstraat, Nils
2015
Linear instability of relative equilibria for $$n$$-body problems in the plane. Zbl 1291.70028
Barutello, Vivina L.; Jadanza, Riccardo D.; Portaluri, Alessandro
2014
On bifurcation for semilinear elliptic Dirichlet problems on geodesic balls. Zbl 1318.35017
Portaluri, Alessandro; Waterstraat, Nils
2014
Bifurcation results for critical points of families of functionals. Zbl 1324.47108
Portaluri, Alessandro; Waterstraat, Nils
2014
On bifurcation for semilinear elliptic Dirichlet problems and the Morse-Smale index theorem. Zbl 1310.35121
Portaluri, Alessandro; Waterstraat, Nils
2013
Singular dynamics under a weak potential on a sphere. Zbl 1268.70010
Castelli, Roberto; Paparella, Francesco; Portaluri, Alessandro
2013
Geometry of stationary solutions for a system of vortex filaments: a dynamical approach. Zbl 1339.70016
Paparella, Francesco; Portaluri, Alessandro
2013
Morse-Smale index theorems for elliptic boundary deformation problems. Zbl 1245.35020
Dalbono, Francesca; Portaluri, Alessandro
2012
Dynamics of ($$4+1$$)-dihedrally symmetric nearly parallel vortex filaments. Zbl 1254.70028
Paparella, Francesco; Portaluri, Alessandro
2012
A $$K$$-theoretical invariant and bifurcation for a parameterized family of functionals. Zbl 1215.58008
Portaluri, Alessandro
2011
Morse theory for a fourth order elliptic equation with exponential nonlinearity. Zbl 1218.35087
Abatangelo, Laura; Portaluri, Alessandro
2011
On a generalized Sturm theorem. Zbl 1205.34027
Portaluri, Alessandro
2010
A multiplicity result for a class of strongly indefinite asymptotically linear second order systems. Zbl 1191.34026
Capietto, Anna; Dalbono, Francesca; Portaluri, Alessandro
2010
Indefinite Sturm theory. Zbl 1188.34042
Portaluri, A.
2009
The homology of path spaces and Floer homology with conormal boundary conditions. Zbl 1171.53344
Abbondandolo, Alberto; Portaluri, Alessandro; Schwarz, Matthias
2008
On the dihedral $$n$$-body problem. Zbl 1138.70007
Ferrario, Davide L.; Portaluri, Alessandro
2008
Maslov index for Hamiltonian systems. Zbl 1135.53059
Portaluri, Alessandro
2008
Morse index and bifurcation of $$p$$-geodesics on semi Riemannian manifolds. Zbl 1127.58005
Musso, Monica; Pejsachowicz, Jacobo; Portaluri, Alessandro
2007
A Morse index theorem for perturbed geodesics on semi-Riemannian manifolds. Zbl 1101.58012
Musso, Monica; Pejsachowicz, Jacobo; Portaluri, Alessandro
2005
A bifurcation result for semi-Riemannian trajectories of the Lorentz force equation. Zbl 1073.58013
Piccione, Paolo; Portaluri, Alessandro
2005
Spectral flow, Maslov index and bifurcation of semi-Riemannian geodesics. Zbl 1050.58015
Piccione, Paolo; Portaluri, Alessandro; Tausk, Daniel V.
2004
Computation of the Maslov index and the spectral flow via partial signatures. Zbl 1039.37006
Giambò, Roberto; Piccione, Paolo; Portaluri, Alessandro
2004
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### Cited by 116 Authors

 27 Portaluri, Alessandro 13 Waterstraat, Nils 12 Hu, Xijun 8 Piccione, Paolo 7 Barutello, Vivina L. 5 Latushkin, Yuri 5 Wu, Li 4 Abbondandolo, Alberto 4 Castelli, Roberto 4 Javaloyes, Miguel Angel 4 Schwarz, Matthias 3 Dalbono, Francesca 3 Kwon, Myeonggi 3 Merry, Will J. 3 Ou, Yuwei 3 Sukhtaiev, Selim 3 Sukhtayev, Alim 3 Terracini, Susanna 3 Xing, Qin 3 Yang, Ran 2 Booss-Bavnbek, Bernhelm 2 Calleja, Renato C. 2 Canneori, Gian Marco 2 Capietto, Anna 2 Cox, Graham 2 Dambrosio, Walter 2 Fenucci, Marco 2 García-Azpeitia, Carlos 2 Gronchi, Giovanni-Federico 2 Jadanza, Riccardo D. 2 Jones, Christopher K. R. T. 2 Kim, Joontae 2 Lu, Guangcun 2 McLachlan, Robert I. 2 Morlando, Fabrizio 2 Offen, Christian 2 Offin, Daniel C. 2 Paparella, Francesco 2 Pejsachowicz, Jacobo 2 Petrov, Miroslav S. 2 Todorov, Todor Dimitrov 2 Yu, Guowei 2 Zhu, Chaofeng 1 Agrachev, Andreĭ Aleksandrovich 1 Andrade, Jaime 1 Asselle, Luca 1 Bae, Hanwool 1 Barrabés, Esther 1 Benevieri, Pierluigi 1 Beschastnyi, Ivan Yu. 1 Biliotti, Leonardo 1 Bilogliadov, Mykhailo 1 Boscaggin, Alberto 1 Candela, Anna Maria 1 Caponio, Erasmo 1 Chang, Xiaojun 1 Chen, Nai-Chia 1 Cors, Josep Maria 1 Crespo, Francisco 1 Deng, Yanxia 1 Doedel, Eusebius J. 1 Eidam, J. C. Corrêa 1 Ekholm, Tobias 1 Exel, Ruy 1 Fujiwara, Toshiaki 1 Fukuda, Hiroshi 1 Fusco, Giorgio 1 Giambò, Roberto 1 Girolimetti, Valentina 1 Gritsans, Armands 1 Hampton, Marshall 1 Hernández-Garduño, Antonio 1 Howard, Peter 1 Izydorek, Marek 1 Jackman, Connor 1 Janczewska, Joanna 1 Kang, Jungsoo 1 Kavle, Henry 1 Kim, Seongchan 1 Lee, Junyoung 1 Lessard, Jean-Philippe 1 Lin, Zhigui 1 Liu, Bowen 1 Long, Yiming 1 Lopes de Lima, Levi 1 Martínez, Y. Paulina 1 Marzuola, Jeremy L. 1 McLean, Mark 1 Meléndez, Josué 1 Mireles-James, Jason D. 1 Misiołek, Gerard 1 Mounoud, Pierre 1 Musso, Monica 1 Negrini, Piero 1 Oancea, Alexandru 1 Ouyang, Tiancheng 1 Ozaki, Hiroshi 1 Paternain, Gabriel Pedro 1 Pinyol, Conxita 1 Pu, Liqiong ...and 16 more Authors
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### Cited in 51 Serials

 11 Journal of Differential Equations 7 Archive for Rational Mechanics and Analysis 7 Journal of Mathematical Analysis and Applications 7 Calculus of Variations and Partial Differential Equations 6 Nonlinearity 5 Mathematische Zeitschrift 5 Proceedings of the American Mathematical Society 5 Journal of Fixed Point Theory and Applications 4 Discrete and Continuous Dynamical Systems 4 Qualitative Theory of Dynamical Systems 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal of Topology and Analysis 2 Advances in Mathematics 2 Annals of Global Analysis and Geometry 2 Celestial Mechanics and Dynamical Astronomy 2 Topological Methods in Nonlinear Analysis 2 NoDEA. Nonlinear Differential Equations and Applications 2 Geometry & Topology 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Journal d’Analyse Mathématique 1 Applied Mathematics and Computation 1 Functional Analysis and its Applications 1 Geometriae Dedicata 1 Integral Equations and Operator Theory 1 Inventiones Mathematicae 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 Physica D 1 Applied Numerical Mathematics 1 Differential Geometry and its Applications 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Expositiones Mathematicae 1 New Zealand Journal of Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Regular and Chaotic Dynamics 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Journal of Evolution Equations 1 Foundations of Computational Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Advanced Nonlinear Studies 1 Computational Methods and Function Theory 1 Fixed Point Theory and Applications 1 Journal of Physics A: Mathematical and Theoretical 1 International Journal of Differential Equations 1 Arnold Mathematical Journal 1 Electronic Research Archive
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### Cited in 21 Fields

 54 Differential geometry (53-XX) 49 Dynamical systems and ergodic theory (37-XX) 39 Global analysis, analysis on manifolds (58-XX) 37 Mechanics of particles and systems (70-XX) 21 Ordinary differential equations (34-XX) 21 Partial differential equations (35-XX) 21 Operator theory (47-XX) 5 Manifolds and cell complexes (57-XX) 5 Numerical analysis (65-XX) 3 Algebraic topology (55-XX) 3 Fluid mechanics (76-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Potential theory (31-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Biology and other natural sciences (92-XX)