Wang, Zengyun; Cao, Jinde; Cai, Zuowei; Huang, Lihong Finite-time stability of impulsive differential inclusion: applications to discontinuous impulsive neural networks. (English) Zbl 1467.93280 Discrete Contin. Dyn. Syst., Ser. B 26, No. 5, 2677-2692 (2021). MSC: 93D40 93C27 93C23 34K34 34K45 34A60 PDF BibTeX XML Cite \textit{Z. Wang} et al., Discrete Contin. Dyn. Syst., Ser. B 26, No. 5, 2677--2692 (2021; Zbl 1467.93280) Full Text: DOI OpenURL
Yamazaki, Yohei Stability of the line soliton of the Kadomtsev-Petviashvili-I equation with the critical traveling speed. (English) Zbl 1474.35095 Differ. Integral Equ. 33, No. 9-10, 489-506 (2020). MSC: 35B35 37K40 35Q53 PDF BibTeX XML Cite \textit{Y. Yamazaki}, Differ. Integral Equ. 33, No. 9--10, 489--506 (2020; Zbl 1474.35095) Full Text: arXiv OpenURL
Adly, Samir; Hantoute, Abderrahim; Nguyen, Bao Tran Lyapunov stability of differential inclusions involving prox-regular sets via maximal monotone operators. (English) Zbl 1427.34082 J. Optim. Theory Appl. 182, No. 3, 906-934 (2019). Reviewer: Daniel C. Biles (Nashville) MSC: 34G25 34A12 34D05 47H05 93B05 PDF BibTeX XML Cite \textit{S. Adly} et al., J. Optim. Theory Appl. 182, No. 3, 906--934 (2019; Zbl 1427.34082) Full Text: DOI arXiv OpenURL
Benedetti, I.; Cardinali, T.; Gabor, G.; Rubbioni, P. Lyapunov pairs in semilinear differential problems with state-dependent impulses. (English) Zbl 1426.34074 Set-Valued Var. Anal. 27, No. 2, 585-604 (2019). Reviewer: Valerii V. Obukhovskij (Voronezh) MSC: 34G25 34A37 49J52 PDF BibTeX XML Cite \textit{I. Benedetti} et al., Set-Valued Var. Anal. 27, No. 2, 585--604 (2019; Zbl 1426.34074) Full Text: DOI OpenURL
Vilches, Emilio Existence and Lyapunov pairs for the perturbed sweeping process governed by a fixed set. (English) Zbl 1432.34081 Set-Valued Var. Anal. 27, No. 2, 569-583 (2019). Reviewer: Zhenbin Fan (Jiangsu) MSC: 34G25 49J52 49J53 93D30 PDF BibTeX XML Cite \textit{E. Vilches}, Set-Valued Var. Anal. 27, No. 2, 569--583 (2019; Zbl 1432.34081) Full Text: DOI OpenURL
Hantoute, Abderrahim; Vilches, Emilio Lyapunov pairs for perturbed sweeping processes. (English) Zbl 1422.49008 Optim. Lett. 12, No. 8, 1773-1787 (2018). MSC: 49J21 34A60 PDF BibTeX XML Cite \textit{A. Hantoute} and \textit{E. Vilches}, Optim. Lett. 12, No. 8, 1773--1787 (2018; Zbl 1422.49008) Full Text: DOI OpenURL
Adly, Samir; Hantoute, Abderrahim; Nguyen, Bao Tran Invariant sets and Lyapunov pairs for differential inclusions with maximal monotone operators. (English) Zbl 1377.34079 J. Math. Anal. Appl. 457, No. 2, 1017-1037 (2018). Reviewer: Valerii V. Obukhovskij (Voronezh) MSC: 34G25 34D05 34D20 49J40 49J52 PDF BibTeX XML Cite \textit{S. Adly} et al., J. Math. Anal. Appl. 457, No. 2, 1017--1037 (2018; Zbl 1377.34079) Full Text: DOI Link OpenURL
Schönlein, Michael Asymptotic stability and smooth Lyapunov functions for a class of abstract dynamical systems. (English) Zbl 1364.37041 Discrete Contin. Dyn. Syst. 37, No. 7, 4053-4069 (2017). MSC: 37B25 34A60 37C75 PDF BibTeX XML Cite \textit{M. Schönlein}, Discrete Contin. Dyn. Syst. 37, No. 7, 4053--4069 (2017; Zbl 1364.37041) Full Text: DOI arXiv OpenURL
Bichegkuev, M. S. Lyapunov transformation of differential operators with unbounded operator coefficients. (English. Russian original) Zbl 1347.47026 Math. Notes 99, No. 1, 24-36 (2016); translation from Mat. Zametki 99, No. 1, 11-25 (2016). MSC: 47E05 34G10 PDF BibTeX XML Cite \textit{M. S. Bichegkuev}, Math. Notes 99, No. 1, 24--36 (2016; Zbl 1347.47026); translation from Mat. Zametki 99, No. 1, 11--25 (2016) Full Text: DOI OpenURL
Parkinson, James; Woess, Wolfgang Regular sequences and random walks in affine buildings. (Suites régulières et marches aléatoires dans les immeubles affines.) (English. French summary) Zbl 1365.20031 Ann. Inst. Fourier 65, No. 2, 675-707 (2015). MSC: 20E42 60G50 51E24 05C81 37H15 PDF BibTeX XML Cite \textit{J. Parkinson} and \textit{W. Woess}, Ann. Inst. Fourier 65, No. 2, 675--707 (2015; Zbl 1365.20031) Full Text: DOI arXiv OpenURL
Sahoo, Soumya Ranjan; Banavar, Ravi N.; Sinha, Arpita Rendezvous in space with minimal sensing and coarse actuation. (English) Zbl 1259.93080 Automatica 49, No. 2, 519-525 (2013). MSC: 93C85 94C15 PDF BibTeX XML Cite \textit{S. R. Sahoo} et al., Automatica 49, No. 2, 519--525 (2013; Zbl 1259.93080) Full Text: DOI OpenURL
Tudoran, Răzvan M.; Gîrban, Anania On the completely integrable case of the Rössler system. (English) Zbl 1283.34009 J. Math. Phys. 53, No. 5, 052701, 10 p. (2012). Reviewer: Werner M. Seiler (Kassel) MSC: 34A34 37J35 34A05 34C05 34D20 PDF BibTeX XML Cite \textit{R. M. Tudoran} and \textit{A. Gîrban}, J. Math. Phys. 53, No. 5, 052701, 10 p. (2012; Zbl 1283.34009) Full Text: DOI OpenURL
Pukdeboon, Chutiphon Second-order sliding mode controllers for spacecraft relative translation. (English) Zbl 1261.93028 Appl. Math. Sci., Ruse 6, No. 97-100, 4965-4979 (2012). MSC: 93B12 93D05 93D09 93C73 PDF BibTeX XML Cite \textit{C. Pukdeboon}, Appl. Math. Sci., Ruse 6, No. 97--100, 4965--4979 (2012; Zbl 1261.93028) Full Text: Link OpenURL
Ryzhov, E. A.; Koshel, K. V.; Carton, X. J. Passive scalar advection in the vicinity of two point vortices in a deformation flow. (English) Zbl 1258.76153 Eur. J. Mech., B, Fluids 34, 121-130 (2012). MSC: 76R99 76B47 PDF BibTeX XML Cite \textit{E. A. Ryzhov} et al., Eur. J. Mech., B, Fluids 34, 121--130 (2012; Zbl 1258.76153) Full Text: DOI OpenURL
Siconolfi, Antonio; Terrone, Gabriele A metric proof of the converse Lyapunov theorem for semicontinuous multivalued dynamics. (English) Zbl 1267.37012 Discrete Contin. Dyn. Syst. 32, No. 12, 4409-4427 (2012). MSC: 37B25 49L25 93D05 PDF BibTeX XML Cite \textit{A. Siconolfi} and \textit{G. Terrone}, Discrete Contin. Dyn. Syst. 32, No. 12, 4409--4427 (2012; Zbl 1267.37012) Full Text: DOI OpenURL
Dehghan, Mehdi; Hajarian, Masoud Analysis of an iterative algorithm to solve the generalized coupled Sylvester matrix equations. (English) Zbl 1227.65037 Appl. Math. Modelling 35, No. 7, 3285-3300 (2011). Reviewer: Ludwig Kohaupt (Berlin) MSC: 65F30 15A24 PDF BibTeX XML Cite \textit{M. Dehghan} and \textit{M. Hajarian}, Appl. Math. Modelling 35, No. 7, 3285--3300 (2011; Zbl 1227.65037) Full Text: DOI OpenURL
Calcagnile, Lucio M.; Galatolo, Stefano; Menconi, Giulia Non-sequential recursive pair substitutions and numerical entropy estimates in symbolic dynamical systems. (English) Zbl 1225.37088 J. Nonlinear Sci. 20, No. 6, 723-745 (2010). Reviewer: Wolfgang Steiner (Sydney) MSC: 37M25 37B10 37B40 PDF BibTeX XML Cite \textit{L. M. Calcagnile} et al., J. Nonlinear Sci. 20, No. 6, 723--745 (2010; Zbl 1225.37088) Full Text: DOI arXiv OpenURL
Cârjă, Ovidiu Lyapunov pairs for multi-valued semi-linear evolutions. (English) Zbl 1201.37018 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 10, 3382-3389 (2010). Reviewer: Yuri V. Rogovchenko (Umeå) MSC: 37B25 47J35 93B05 PDF BibTeX XML Cite \textit{O. Cârjă}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 10, 3382--3389 (2010; Zbl 1201.37018) Full Text: DOI OpenURL
Cârjă, Ovidiu; Lazu, Alina Lyapunov pairs for semilinear evolutions. (English) Zbl 1263.37024 Int. J. Qual. Theory Differ. Equ. Appl. 3, No. 1-2, 60-65 (2009). MSC: 37B25 47J35 34G20 PDF BibTeX XML Cite \textit{O. Cârjă} and \textit{A. Lazu}, Int. J. Qual. Theory Differ. Equ. Appl. 3, No. 1--2, 60--65 (2009; Zbl 1263.37024) OpenURL
Cârjă, Ovidiu; Lazu, Alina Lyapunov pairs for continuous perturbations of nonlinear evolutions. (English) Zbl 1173.37009 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 3-4, 1012-1018 (2009). Reviewer: Vladimir Răsvan (Craiova) MSC: 37B25 47J35 93C25 93D30 PDF BibTeX XML Cite \textit{O. Cârjă} and \textit{A. Lazu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 3--4, 1012--1018 (2009; Zbl 1173.37009) Full Text: DOI OpenURL
Cârjă, Ovidiu; Motreanu, Dumitru Characterization of Lyapunov pairs in the nonlinear case and applications. (English) Zbl 1172.34039 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 1, 352-363 (2009). Reviewer: Daniel C. Biles (Nashville) MSC: 34G25 34A12 34D20 34H05 PDF BibTeX XML Cite \textit{O. Cârjă} and \textit{D. Motreanu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 1, 352--363 (2009; Zbl 1172.34039) Full Text: DOI OpenURL
Liu, Zhenxin; Ji, Shuguan; Su, Menglong Attractor-repeller pair, Morse decomposition and Lyapunov function for random dynamical systems. (English) Zbl 1162.37009 Stoch. Dyn. 8, No. 4, 625-641 (2008). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37B25 37B55 37C70 37H99 34F05 PDF BibTeX XML Cite \textit{Z. Liu} et al., Stoch. Dyn. 8, No. 4, 625--641 (2008; Zbl 1162.37009) Full Text: DOI arXiv OpenURL
Rasmussen, Martin Morse decompositions of nonautonomous dynamical systems. (English) Zbl 1116.37013 Trans. Am. Math. Soc. 359, No. 10, 5091-5115 (2007). MSC: 37B55 37B25 37C70 34D08 58E05 37B30 PDF BibTeX XML Cite \textit{M. Rasmussen}, Trans. Am. Math. Soc. 359, No. 10, 5091--5115 (2007; Zbl 1116.37013) Full Text: DOI OpenURL
Osipenko, George Dynamical systems, graphs, and algorithms. (English) Zbl 1130.37002 Lecture Notes in Mathematics 1889. Berlin: Springer (ISBN 978-3-540-35593-9/pbk). xii, 283 p. (2007). Reviewer: Jörg Härterich (Bochum) MSC: 37-02 37B10 37B40 37B25 37C25 37C50 37D05 37M25 PDF BibTeX XML Cite \textit{G. Osipenko}, Dynamical systems, graphs, and algorithms. Berlin: Springer (2007; Zbl 1130.37002) Full Text: DOI OpenURL
Lijun, Yang On the generalized Lyapunov-Schmidt reduction. (English) Zbl 1065.58006 ZAMM, Z. Angew. Math. Mech. 84, No. 8, 528-538 (2004). Reviewer: Ya-Ping Fang (Chengdu) MSC: 58C25 34A45 37G10 47J15 PDF BibTeX XML Cite \textit{Y. Lijun}, ZAMM, Z. Angew. Math. Mech. 84, No. 8, 528--538 (2004; Zbl 1065.58006) Full Text: DOI OpenURL
Andreev, A. S.; Bojkova, T. A. Lyapunov functions of constant sign and stability problems. (English) Zbl 1046.34077 Mekh. Tverd. Tela 32, 109-116 (2002). Reviewer: Vladimir Evgenievich Puzyrev (Donetsk) MSC: 34D20 70F20 70K20 PDF BibTeX XML Cite \textit{A. S. Andreev} and \textit{T. A. Bojkova}, Mekh. Tverd. Tela 32, 109--116 (2002; Zbl 1046.34077) OpenURL
Huang, Tusen Decompositions and Liapounov functions. (English) Zbl 1007.37004 Chaos Solitons Fractals 13, No. 2, 209-214 (2002). MSC: 37B25 54E45 PDF BibTeX XML Cite \textit{T. Huang}, Chaos Solitons Fractals 13, No. 2, 209--214 (2002; Zbl 1007.37004) Full Text: DOI OpenURL
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J. Asymptotic stability and smooth Lyapunov functions. (English) Zbl 0907.34013 J. Differ. Equations 149, No. 1, 69-114 (1998). MSC: 34A60 34D20 PDF BibTeX XML Cite \textit{F. H. Clarke} et al., J. Differ. Equations 149, No. 1, 69--114 (1998; Zbl 0907.34013) Full Text: DOI Link OpenURL
Udwadia, F. E.; Raju, N. Some global properties of a pair of coupled maps: Quasi-symmetry, periodicity, and synchronicity. (English) Zbl 0932.37014 Physica D 111, No. 1-4, 16-26 (1998). MSC: 37D45 37D20 PDF BibTeX XML Cite \textit{F. E. Udwadia} and \textit{N. Raju}, Physica D 111, No. 1--4, 16--26 (1998; Zbl 0932.37014) Full Text: DOI OpenURL
Li, Y.; McLaughlin, David W.; Shatah, Jalal; Wiggins, S. Persistent homoclinic orbits for a perturbed nonlinear Schrödinger equation. (English) Zbl 0866.35112 Commun. Pure Appl. Math. 49, No. 11, 1175-1255 (1996). Reviewer: A.Tsutsumi (Osaka) MSC: 35Q55 37J40 35B25 PDF BibTeX XML Cite \textit{Y. Li} et al., Commun. Pure Appl. Math. 49, No. 11, 1175--1255 (1996; Zbl 0866.35112) Full Text: DOI OpenURL
Fedorov, Yu. Integrable systems, Poisson pencils, and hyperelliptic Lax pairs. (English. Russian original) Zbl 0985.37060 J. Math. Sci., New York 94, No. 4, 1501-1511 (1999); translation from Zap. Nauchn. Semin. POMI 235, 87-103 (1996). MSC: 37J35 37N05 70H06 70E40 70E45 PDF BibTeX XML Cite \textit{Yu. Fedorov}, J. Math. Sci., New York 94, No. 4, 1 (1996; Zbl 0985.37060); translation from Zap. Nauchn. Semin. POMI 235, 87--103 (1996) Full Text: DOI EuDML OpenURL
Homblé, Patrick Sample and moment Lyapunov exponents of discrete linear dynamical systems. (English) Zbl 0803.60054 Stochastic Anal. Appl. 12, No. 3, 329-354 (1994). Reviewer: W.Kliemann (Ames) MSC: 60H25 60F10 PDF BibTeX XML Cite \textit{P. Homblé}, Stochastic Anal. Appl. 12, No. 3, 329--354 (1994; Zbl 0803.60054) Full Text: DOI OpenURL
Vitrichenko, I. E. Stability in the critical case of one zero root and a pair of purely imaginary roots for one \(n\)-th order non-autonomous quasilinear equation. (English. Russian original) Zbl 0764.34043 Differ. Equations 26, No. 12, 1501-1521 (1990); translation from Differ. Uravn. 26, No. 12, 2027-2046 (1990). Reviewer: E.Chukwu (Raleigh) MSC: 34D20 34A34 PDF BibTeX XML Cite \textit{I. E. Vitrichenko}, Differ. Equations 26, No. 12, 1501--1521 (1990; Zbl 0764.34043); translation from Differ. Uravn. 26, No. 12, 2027--2046 (1990) OpenURL
Storti, Duane; Rand, Richard H. A simplified model of coupled relaxation oscillators. (English) Zbl 0614.73024 Int. J. Non-Linear Mech. 22, 283-289 (1987). MSC: 74H45 70J10 34D20 37-XX PDF BibTeX XML Cite \textit{D. Storti} and \textit{R. H. Rand}, Int. J. Non-Linear Mech. 22, 283--289 (1987; Zbl 0614.73024) Full Text: DOI OpenURL
Shaaban, Hassan; Grujić, Ljubomir An improved pair-wise decomposition aggregation approach to stability analysis of multimachine power systems. (English) Zbl 0534.93042 RAIRO, Autom. Syst. Anal. Control 18, 63-77 (1984). Reviewer: S.Patarinski MSC: 93D05 93A15 93C10 93C15 93C35 70Q05 PDF BibTeX XML Cite \textit{H. Shaaban} and \textit{L. Grujić}, RAIRO, Autom. Syst. Anal. Control 18, 63--77 (1984; Zbl 0534.93042) OpenURL
Conley, C. A qualitative singular perturbation theorem. (English) Zbl 0469.58014 Global theory of dynamical systems, Proc. int. Conf., Evanston/Ill. 1979, Lect. Notes Math. 819, 65-89 (1980). MSC: 37J40 37G99 34D15 37C70 37C10 PDF BibTeX XML OpenURL
Sedov, Yu. N. The stabilization of a discrete second order system in the critical case of a pair of complex roots. (Russian) Zbl 0472.93050 Stability and non-linear oscillations, Work Collect., Sverdlovsk 1979, 138-153 (1979). MSC: 93D05 70K20 39A10 PDF BibTeX XML OpenURL
Bakhilina, I. M.; Lerner, D. M. Properties of Lyapunov equations with nonnegative free term matrices. (English. Russian original) Zbl 0422.93017 Autom. Remote Control 39, 772-774 (1978); translation from Avtom. Telemekh. 1978, No. 5, 182-184 (1978). MSC: 93B07 93D99 15B48 PDF BibTeX XML Cite \textit{I. M. Bakhilina} and \textit{D. M. Lerner}, Autom. Remote Control 39, 772--774 (1978; Zbl 0422.93017); translation from Avtom. Telemekh. 1978, No. 5, 182--184 (1978) OpenURL
Ahmed, N. U. Stability analysis of a transmission line with variable parameters. (English) Zbl 0407.93030 IEEE Trans. Circuits Syst. 25, 878-885 (1978). MSC: 93D05 93C20 35L50 PDF BibTeX XML Cite \textit{N. U. Ahmed}, IEEE Trans. Circuits Syst. 25, 878--885 (1978; Zbl 0407.93030) Full Text: DOI OpenURL