World Scientific Series on Nonlinear Science. Series A Short Title: World Sci. Ser. Nonlinear Sci., Ser. A Publisher: World Scientific, Hackensack, NJ ISSN: 1793-1010 Comments: Book series Documents Indexed: 92 Publications (since 1993) all top 5 Latest Volumes 98 (2021) 97 (2020) 96 (2020) 95 (2019) 94 (2019) 93 (2018) 92 (2018) 91 (2017) 90 (2016) 89 (2016) 88 (2015) 87 (2015) 86 (2013) 85 (2013) 84 (2013) 83 (2013) 81 (2013) 80 (2012) 79 (2012) 78 (2011) 77 (2011) 76 (2011) 75 (2011) 73 (2010) 71 (2010) 70 (2010) 69 (2009) 68 (2009) 67 (2009) 66 (2009) 64 (2009) 63 (2008) 62 (2008) 61 (2008) 60 (2007) 59 (2007) 58 (2006) 57 (2006/2007) 56 (2006) 55 (2005) 54 (2005) 53 (2005) 52 (2005) 51 (2005) 50 (2005) 49 (2004) 48 (2004) 47 (2003) 46 (2003) 45 (2003) 44 (2003) 43 (2003) 42 (2002) 41 (2002) 40 (2001) 39 (2000) 38 (2000) 37 (1999) 36 (1999) 35 (1998) 33 (1998) 32 (1999) 31 (1998) 30 (1998) 28 (2000) 27 (1999) 26 (1999) 25 (1997) 24 (1998) 23 (1996) 22 (1997) 21 (1996) 20 (1996) 19 (1996) 18 (1998) 17 (1995) 16 (1995) 15 (1996) 14 (1995) 13 (1996) 12 (1993) 9 (1996) 8 (1995) 7 (1994) 6 (1994) 5 (2001) 4 (1998) 1 (1993) all top 5 Authors / Editors 13 Chua, Leon Ong 4 Awrejcewicz, Jan 4 Fortuna, Luigi 3 Chen, Guanrong 3 Frasca, Mattia 3 Letellier, Christophe 3 Maugin, Gérard A. 3 Samoĭlenko, Anatoliĭ Mykhaĭlovych 2 Arena, Paolo 2 Caponetto, Riccardo 2 Elhadj, Zeraoulia 2 Gardini, Laura 2 Kadanoff, Leo Philip 2 Kapitaniak, Tomasz 2 Moiola, Jorge Luis 2 Morozov, Al’bert Dmitrievich 2 Mosekilde, Erik 2 Shalfeev, Vladimir D. 2 Shilnikov, Andrey L. 2 Shilnikov, Leonid Pavlovich 2 Sidorov, Denis Nikolaevich 2 Sprott, Julien Clinton 2 Turaev, Dmitry V. 2 Wojewoda, Jerzy 1 Abraham, Ralph Herman 1 Adamatzky, Andrew I. 1 Afraimovich, Valentin S. 1 Alonso-Sanz, Ramón 1 Alves-Pires, Rui 1 Anishchenko, Vadim Semenovich 1 Avrutin, Viktor 1 Barugola, Alexandre 1 Berezovski, Arkadi 1 Bilotta, Eleonora 1 Blazejczyk-Okolewska, Barbara 1 Boykova, Svetlana A. 1 Bronshteĭn, Idel Usherovich 1 Buscarino, Arturo 1 Cathala, Jean-Claude 1 Chacón, Ricardo 1 Chen, Wai-Kai 1 Cooper, Ellis D. 1 Czolczynski, Krzysztof 1 Damgov, Vladimir Nikolow 1 Dankowicz, Harry J. 1 de Kraker, Bram 1 Della Rossa, Fabio 1 Dercole, Fabio 1 Dilão, Rui 1 Dogaru, Radu 1 Dong, Xiaoning 1 Dragunov, Timothy N. 1 Èglit, Margarita Èrnestovna 1 Engelbrecht, Jüri 1 Fabrikant, Anatoly L. 1 Famoso, Carlo 1 Fečkan, Michal 1 Feudel, Ulrike 1 Fradkov, Aleksandr L’vovich 1 Gentile, Franco Sebastián 1 Gilmore, Robert 1 Ginoux, Jean-Marc 1 Gragnani, Alessandra 1 Hodges, Dewey H. 1 Holicke, Mariusz M. 1 Huertas, Jose L. 1 Iu, Herbert Ho Ching 1 Kiliç, Recai 1 Kopanskii, Alexander Ya. 1 Krysko, Anton V. 1 Kudrewicz, Jacek 1 Kuznetsov, Sergey P. 1 Lakshmanan, Muthusamy 1 Lam, Hakkeung 1 Lamarque, Claude-Henri 1 Landi, Pietro 1 Leonov, Gennadiĭ Alekseevich 1 Lesser, Martin L. 1 Leung, Tin-Pui 1 Ling, Bingo Wing-Kuen 1 Ma, Tian 1 Madan, Rabinder N. 1 Magnitskii, Nikolai Alexandrovich 1 Mainzer, Klaus 1 Maistrenko, Yuri L. 1 Malysheva, Olga V. 1 Matrosov, Valery V. 1 Mira, Christian 1 Nazarenko, Sergeĭ Vital’evich 1 Nekorkin, Vladimir I. 1 Nijmeijer, Henk 1 Ogorzałek, Maciej J. 1 Olejnik, Pawel 1 Osipov, Grigory V. 1 Pantano, Pietro 1 Papkova, Irina V. 1 Perestyuk, Mykola Oleksiĭovych 1 Phillipson, Paul E. 1 Pikovsky, Arkady S. 1 Pogromsky, Alexander Yu. ...and 34 more Authors all top 5 Fields 59 Dynamical systems and ergodic theory (37-XX) 26 Ordinary differential equations (34-XX) 21 General and overarching topics; collections (00-XX) 16 Mechanics of particles and systems (70-XX) 15 Systems theory; control (93-XX) 12 Information and communication theory, circuits (94-XX) 10 Computer science (68-XX) 6 Mechanics of deformable solids (74-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Fluid mechanics (76-XX) 5 Optics, electromagnetic theory (78-XX) 4 Partial differential equations (35-XX) 3 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematical logic and foundations (03-XX) 1 Group theory and generalizations (20-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 77 Publications have been cited 2,902 times in 2,658 Documents Cited by ▼ Year ▼ Impulsive differential equations. Transl. from the Russian by Yury Chapovsky. Zbl 0837.34003Samoilenko, A. M.; Perestyuk, N. A. 852 1995 Methods of qualitative theory in nonlinear dynamics. Part I. Zbl 0941.34001Shilnikov, L. P.; Shilnikov, A. L.; Turaev, D. V.; Chua, Leon O. 178 1998 Chaotic dynamics in two-dimensional noninvertible maps. Zbl 0906.58027Mira, Christian; Gardini, Laura; Barugola, Alexandra; Cathala, Jean-Claude 152 1996 Bifurcations and chaos in piecewise-smooth dynamical systems. Zbl 1047.34048Zhusubaliyev, Zh. T.; Mosekilde, Erik 118 2003 From chaos to order. Methodologies, perspectives and applications. With a foreword by Alistair Mees. Zbl 0908.93005Chen, Guanrong; Dong, Xiaoning 117 1998 Chaos in nonlinear oscillators: controlling and synchronization. Zbl 0868.58058Lakshmanan, M.; Murali, K. 117 1996 Methods of qualitative theory in nonlinear dynamics. II. Zbl 1046.34003Shilnikov, L. P.; Shilnikov, A. L.; Turaev, D. V.; Chua, Leon O. 105 2001 Introduction to control of oscillations and chaos. Zbl 0945.93003Fradkov, A. L.; Pogromsky, A. Yu. 87 1998 Frequency-domain methods for nonlinear analysis. Theory and applications. Zbl 0954.65091Leonov, G. A.; Ponomarenko, D. V.; Smirnova, V. B. 80 1996 CNN: a paradigm for complexity. Zbl 0916.68132Chua, Leon O. 76 1998 The thermomechanics of nonlinear irreversible behaviors. An introduction. Zbl 0945.80001Maugin, Gérard A. 64 1999 Synchronization in coupled chaotic circuits and systems. Zbl 1007.34044Wu, Chai Wah 60 2002 Chaotic synchronization. Applications to living systems. Zbl 0999.37022Mosekilde, Erik; Maistrenko, Yu.; Postnov, D. 57 2002 Bifurcation and chaos in nonsmooth mechanical systems. Zbl 1067.70001Awrejcewicz, Jan; Lamarque, Claude-Henri 54 2003 Bifurcations in piecewise-smooth continuous systems. Zbl 1205.37004Simpson, David John Warwick 54 2010 Bifurcation theory and applications. Zbl 1085.35001Ma, Tian; Wang, Shouhong 48 2005 Synchronization of mechanical systems. Zbl 1092.70001Nijmeijer, Henk; Rodriguez-Angeles, Alejandro 40 2003 Smooth and nonsmooth high dimensional chaos and the Melnikov-type methods. Zbl 1127.37032Awrejcewicz, Jan; Holicke, Mariusz M. 39 2007 Strange nonchaotic attrators. Dynamics between order and chaos in quasiperiodically forced systems. Zbl 1101.37018Feudel, Ulrike; Kuznetsov, Sergey; Pikovsky, Arkady 34 2006 Nonlinear noninteger order circuits and systems. An introduction. Zbl 0966.93006Fortuna, L.; Arena, P.; Caponetto, R.; Porto, D. 34 2000 Continuous and discontinuous piecewise-smooth one-dimensional maps. Invariant sets and bifurcation structures. Zbl 1452.37002Avrutin, Viktor; Gardini, Laura; Sushko, Irina; Tramontana, Fabio 33 2019 Smooth invariant manifolds and normal forms. Zbl 0974.34001Bronstein, I. U.; Kopanskii, A. Ya. 29 1994 Hopf bifurcations analysis. A frequency domain approach. Zbl 0911.58027Moiola, Jorge L.; Chen, Guanrong 29 1996 Applied nonlinear dynamics and chaos of mechanical systems with discontinuities. Workshop, Aberdeen, GB, Summer 1995. Zbl 0953.70001 27 2000 Stability, structures and chaos in nonlinear synchronization networks. Ed. by A. V. Gaponov-Grekhov and M. I. Rabinovich. Zbl 0845.93003Afraimovich, V. S.; Nekorkin, V. I.; Osipov, G. V.; Shalfeev, V. D. 27 1994 New methods for chaotic dynamics. Zbl 1119.37002Magnitskii, Nikolai Alexandrovich; Sidorov, Sergey Vasilevich 24 2006 Cellular neural networks, multi-scroll chaos and synchronization. Zbl 1089.68117Yalçin, Müştak E.; Suykens, Johan A. K.; Vandevalle, Joos P. L. 24 2005 Chaotic mechanics in systems with impacts and friction. Zbl 0933.70002Błażejczyk-Okolewska, Barbara; Czołczyński, Krzysztof; Kapitaniak, Tomasz; Wojewoda, Jerzy 22 1999 Dynamical chaos: models and experiments. Appearance routes and structure of chaos in simple dynamical systems. Zbl 0866.58053Anishchenko, V. S. 21 1995 Applied nonlinear time series analysis. Applications in physics, physiology and finance. Zbl 1186.62109Small, Michael 20 2005 Qualitative and asymptotic analysis of differential equations with random perturbations. Zbl 1259.60005Samoilenko, Anatoliy; Stanzhytskyi, Oleksandr 18 2011 Quasi-conservative systems: cycles, resonances and chaos. Zbl 0914.58012Morozov, Albert D. 17 1998 Chaos and complexity in nonlinear electronic circuits. Zbl 0924.58053Ogorzałek, Maciej J. 16 1997 Numerical simulation of waves and fronts in inhomogeneous solids. Zbl 1155.74002Berezovski, Arkadi; Engelbrecht, Jüri; Maugin, Gérard A. 15 2008 Integral dynamical models. Singularities, signals and control. Zbl 1311.45012Sidorov, Denis 14 2015 A gallery of Chua attractors. Reprinted from the International Journal of Bifurcation and Chaos in Applied Sciences and Engineering Nos. 1-6 (2007). Zbl 1147.34036Bilotta, Eleonora; Pantano, Pietro 14 2008 Deterministic chaos in one-dimensional continuous systems. Zbl 1346.74001Awrejcewicz, Jan; Krysko, Vadim A.; Papkova, Irina V.; Krysko, Anton V. 13 2016 Turbulence, strange attractors, and chaos. Zbl 0922.76009 13 1995 Discrete systems with memory. Zbl 1250.68006Alonso-Sanz, Ramon 11 2011 Control of homoclinic chaos by weak periodic perturbations. Zbl 1094.37016Chacón, Ricardo 9 2005 A nonlinear dynamics perspective of Wolfram’s new kind of science. Vol. 1 (Part I–III). Reprinted from the journal International Journal of Bifurcation and Chaos in Applied Sciences and Engineering(2002–2004). Zbl 1095.37005Chua, Leon O. 9 2006 Computational analysis of one-dimensional cellular automata. Zbl 0861.68060Voorhees, Burton H. 8 1996 The chaos avant-garde. Memories of the early days of chaos theory. Zbl 0958.00013 8 2000 2-D quadratic maps and 3-D ODE systems. A rigorous approach. Zbl 1239.37003Zeraoulia, Elhadj; Sprott, Julien Clinton 7 2010 Robust chaos and its applications. Zbl 1253.37004Zeraoulia, Elhadj; Sprott, Julien Clinton 7 2012 Control of imperfect nonlinear electromechanical large scale systems. From dynamics to hardware implementation. Zbl 1364.78003Fortuna, Luigi; Buscarino, Arturo; Frasca, Mattia; Famoso, Carlo 6 2017 Modeling, analysis and control of dynamical systems: with friction and impacts. Zbl 1378.93004Olejnik, Paweł; Awrejcewicz, Jan; Fečkan, Michal 6 2018 Symmetry and complexity. The spirit and beauty of nonlinear science. Zbl 1086.00002Mainzer, Klaus 6 2005 Propagation of waves in hydrodynamics flows. Zbl 0923.76005Stepanyants, Y. A.; Fabrikant, A. L. 6 1998 From order to chaos. Essays: critical, chaotic and otherwise. Zbl 0933.01035Kadanoff, L. P. 6 1993 Attractors of quasiperiodically forced systems. Zbl 0870.58047Kapitaniak, Tomasz; Wojewoda, Jerzy 6 1993 Chaos, bifurcations and fractals around us. A brief introduction. Zbl 1064.37027Szemplińska-Stupnicka, Wanda 6 2003 Chaos in nature. Zbl 1291.37001Letellier, Christophe 6 2013 Equations of phase-locked loops. Dynamics on the circle, torus and cylinder. Zbl 1143.34003Kudrewicz, Jacek; Wąsowicz, Stefan 6 2007 Toward general theory of differential-operator and kinetic models. Zbl 1477.47001Sidorov, Nikolay; Sidorov, Denis; Sinitsyn, Alexander 5 2020 Nonlinear dynamics in particle accelerators. Zbl 0924.58091Dilão, Rui; Alves-Pires, Rui 5 1996 A practical guide for studying Chua’s circuit. Zbl 1195.94001Kılıç, Recai 5 2010 Modeling love dynamics. Zbl 1353.34003Rinaldi, Sergio; Della Rossa, Fabio; Dercole, Fabio; Gragnani, Alessandra; Landi, Pietro 4 2016 Differential geometry applied to dynamical systems. With CD-ROM. Zbl 1201.37001Ginoux, Jean-Marc 3 2009 Determining thresholds of complete synchronization, and application. Zbl 1186.34002Stefański, Andrzej 3 2009 Elements of mathematical theory of evolutionary equations in Banach spaces. Zbl 1277.39001Samoilenko, Anatoly M.; Teplinsky, Yuriy V. 2 2013 A nonlinear dynamics perspective of Wolfram’s new kind of science. Vol. 6. Zbl 1278.37001Chua, Leon O. 2 2013 Bio-inspired emergent control of locomotion systems. Zbl 1104.93007Frasca, Mattia; Arena, Paolo; Fortuna, Luigi 2 2004 A nonlinear dynamics perspective of Wolfram’s new kind of science. Vol. 3. Zbl 1185.37017Chua, Leon O. 2 2009 Visions of nonlinear science in the 21st century. Festschrift dedicated to Leon O. Chua on the occasion of his 60th birthday. Lectures presented at the workshop, Sevilla, Spain, June 26, 1996. Zbl 0927.00052 2 1999 Universality and emergent computation in cellular neural networks. Zbl 1058.68076Dogaru, Radu 1 2003 Chaos in nature. 2nd edition. Zbl 1415.37002Letellier, Christophe 1 2019 The Chua lectures: from memristors and cellular nonlinear networks to the edge of chaos. Volume II. Memristors and CNN: the right stuff for AI and brain-like computers, Palo Alto, CA, USA, September 22 – November 24, 2015. Zbl 1451.37002Chua, Leon O. 1 2021 Advanced topics in nonlinear control systems. Zbl 0968.00022 1 2001 Modeling by nonlinear differential equations. Dissipative and conservative processes. Zbl 1188.35002Phillipson, Paul E.; Schuster, Peter 1 2009 Continuum mechanics via problems and exercises. Part I: Theory and problems. Part II: Answers and solutions. Zbl 0941.76001 1 1996 Topology and dynamics of chaos. In celebration of Robert Gilmore’s 70th birthday. Zbl 1261.37001 1 2013 Advances in wave turbulence. Zbl 1271.76007 1 2013 Invariant sets for Windows. With setup disk: Resonance structures, attractors, fractals and patterns. Zbl 0935.37002Morozov, Albert D.; Dragunov, Timothy N.; Boykova, Svetlana A.; Malysheva, Olga V. 1 1999 From order to chaos II. Essays: critical, chaotic, and otherwise. Zbl 1072.82501Kadanoff, Leo P. 1 1999 Lectures in synergetics. Transl. from the Russian by Igor Goliney. Zbl 1072.82500Sugakov, Vladimir Iosifovich 1 1998 Nonlinear and parametric phenomena. Theory and applications in radiophysical and mechanical systems. Zbl 0952.70001Damgov, Vladimir 1 2004 The Chua lectures: from memristors and cellular nonlinear networks to the edge of chaos. Volume II. Memristors and CNN: the right stuff for AI and brain-like computers, Palo Alto, CA, USA, September 22 – November 24, 2015. Zbl 1451.37002Chua, Leon O. 1 2021 Toward general theory of differential-operator and kinetic models. Zbl 1477.47001Sidorov, Nikolay; Sidorov, Denis; Sinitsyn, Alexander 5 2020 Continuous and discontinuous piecewise-smooth one-dimensional maps. Invariant sets and bifurcation structures. Zbl 1452.37002Avrutin, Viktor; Gardini, Laura; Sushko, Irina; Tramontana, Fabio 33 2019 Chaos in nature. 2nd edition. Zbl 1415.37002Letellier, Christophe 1 2019 Modeling, analysis and control of dynamical systems: with friction and impacts. Zbl 1378.93004Olejnik, Paweł; Awrejcewicz, Jan; Fečkan, Michal 6 2018 Control of imperfect nonlinear electromechanical large scale systems. From dynamics to hardware implementation. Zbl 1364.78003Fortuna, Luigi; Buscarino, Arturo; Frasca, Mattia; Famoso, Carlo 6 2017 Deterministic chaos in one-dimensional continuous systems. Zbl 1346.74001Awrejcewicz, Jan; Krysko, Vadim A.; Papkova, Irina V.; Krysko, Anton V. 13 2016 Modeling love dynamics. Zbl 1353.34003Rinaldi, Sergio; Della Rossa, Fabio; Dercole, Fabio; Gragnani, Alessandra; Landi, Pietro 4 2016 Integral dynamical models. Singularities, signals and control. Zbl 1311.45012Sidorov, Denis 14 2015 Chaos in nature. Zbl 1291.37001Letellier, Christophe 6 2013 Elements of mathematical theory of evolutionary equations in Banach spaces. Zbl 1277.39001Samoilenko, Anatoly M.; Teplinsky, Yuriy V. 2 2013 A nonlinear dynamics perspective of Wolfram’s new kind of science. Vol. 6. Zbl 1278.37001Chua, Leon O. 2 2013 Topology and dynamics of chaos. In celebration of Robert Gilmore’s 70th birthday. Zbl 1261.37001 1 2013 Advances in wave turbulence. Zbl 1271.76007 1 2013 Robust chaos and its applications. Zbl 1253.37004Zeraoulia, Elhadj; Sprott, Julien Clinton 7 2012 Qualitative and asymptotic analysis of differential equations with random perturbations. Zbl 1259.60005Samoilenko, Anatoliy; Stanzhytskyi, Oleksandr 18 2011 Discrete systems with memory. Zbl 1250.68006Alonso-Sanz, Ramon 11 2011 Bifurcations in piecewise-smooth continuous systems. Zbl 1205.37004Simpson, David John Warwick 54 2010 2-D quadratic maps and 3-D ODE systems. A rigorous approach. Zbl 1239.37003Zeraoulia, Elhadj; Sprott, Julien Clinton 7 2010 A practical guide for studying Chua’s circuit. Zbl 1195.94001Kılıç, Recai 5 2010 Differential geometry applied to dynamical systems. With CD-ROM. Zbl 1201.37001Ginoux, Jean-Marc 3 2009 Determining thresholds of complete synchronization, and application. Zbl 1186.34002Stefański, Andrzej 3 2009 A nonlinear dynamics perspective of Wolfram’s new kind of science. Vol. 3. Zbl 1185.37017Chua, Leon O. 2 2009 Modeling by nonlinear differential equations. Dissipative and conservative processes. Zbl 1188.35002Phillipson, Paul E.; Schuster, Peter 1 2009 Numerical simulation of waves and fronts in inhomogeneous solids. Zbl 1155.74002Berezovski, Arkadi; Engelbrecht, Jüri; Maugin, Gérard A. 15 2008 A gallery of Chua attractors. Reprinted from the International Journal of Bifurcation and Chaos in Applied Sciences and Engineering Nos. 1-6 (2007). Zbl 1147.34036Bilotta, Eleonora; Pantano, Pietro 14 2008 Smooth and nonsmooth high dimensional chaos and the Melnikov-type methods. Zbl 1127.37032Awrejcewicz, Jan; Holicke, Mariusz M. 39 2007 Equations of phase-locked loops. Dynamics on the circle, torus and cylinder. Zbl 1143.34003Kudrewicz, Jacek; Wąsowicz, Stefan 6 2007 Strange nonchaotic attrators. Dynamics between order and chaos in quasiperiodically forced systems. Zbl 1101.37018Feudel, Ulrike; Kuznetsov, Sergey; Pikovsky, Arkady 34 2006 New methods for chaotic dynamics. Zbl 1119.37002Magnitskii, Nikolai Alexandrovich; Sidorov, Sergey Vasilevich 24 2006 A nonlinear dynamics perspective of Wolfram’s new kind of science. Vol. 1 (Part I–III). Reprinted from the journal International Journal of Bifurcation and Chaos in Applied Sciences and Engineering(2002–2004). Zbl 1095.37005Chua, Leon O. 9 2006 Bifurcation theory and applications. Zbl 1085.35001Ma, Tian; Wang, Shouhong 48 2005 Cellular neural networks, multi-scroll chaos and synchronization. Zbl 1089.68117Yalçin, Müştak E.; Suykens, Johan A. K.; Vandevalle, Joos P. L. 24 2005 Applied nonlinear time series analysis. Applications in physics, physiology and finance. Zbl 1186.62109Small, Michael 20 2005 Control of homoclinic chaos by weak periodic perturbations. Zbl 1094.37016Chacón, Ricardo 9 2005 Symmetry and complexity. The spirit and beauty of nonlinear science. Zbl 1086.00002Mainzer, Klaus 6 2005 Bio-inspired emergent control of locomotion systems. Zbl 1104.93007Frasca, Mattia; Arena, Paolo; Fortuna, Luigi 2 2004 Nonlinear and parametric phenomena. Theory and applications in radiophysical and mechanical systems. Zbl 0952.70001Damgov, Vladimir 1 2004 Bifurcations and chaos in piecewise-smooth dynamical systems. Zbl 1047.34048Zhusubaliyev, Zh. T.; Mosekilde, Erik 118 2003 Bifurcation and chaos in nonsmooth mechanical systems. Zbl 1067.70001Awrejcewicz, Jan; Lamarque, Claude-Henri 54 2003 Synchronization of mechanical systems. Zbl 1092.70001Nijmeijer, Henk; Rodriguez-Angeles, Alejandro 40 2003 Chaos, bifurcations and fractals around us. A brief introduction. Zbl 1064.37027Szemplińska-Stupnicka, Wanda 6 2003 Universality and emergent computation in cellular neural networks. Zbl 1058.68076Dogaru, Radu 1 2003 Synchronization in coupled chaotic circuits and systems. Zbl 1007.34044Wu, Chai Wah 60 2002 Chaotic synchronization. Applications to living systems. Zbl 0999.37022Mosekilde, Erik; Maistrenko, Yu.; Postnov, D. 57 2002 Methods of qualitative theory in nonlinear dynamics. II. Zbl 1046.34003Shilnikov, L. P.; Shilnikov, A. L.; Turaev, D. V.; Chua, Leon O. 105 2001 Advanced topics in nonlinear control systems. Zbl 0968.00022 1 2001 Nonlinear noninteger order circuits and systems. An introduction. Zbl 0966.93006Fortuna, L.; Arena, P.; Caponetto, R.; Porto, D. 34 2000 Applied nonlinear dynamics and chaos of mechanical systems with discontinuities. Workshop, Aberdeen, GB, Summer 1995. Zbl 0953.70001 27 2000 The chaos avant-garde. Memories of the early days of chaos theory. Zbl 0958.00013 8 2000 The thermomechanics of nonlinear irreversible behaviors. An introduction. Zbl 0945.80001Maugin, Gérard A. 64 1999 Chaotic mechanics in systems with impacts and friction. Zbl 0933.70002Błażejczyk-Okolewska, Barbara; Czołczyński, Krzysztof; Kapitaniak, Tomasz; Wojewoda, Jerzy 22 1999 Visions of nonlinear science in the 21st century. Festschrift dedicated to Leon O. Chua on the occasion of his 60th birthday. Lectures presented at the workshop, Sevilla, Spain, June 26, 1996. Zbl 0927.00052 2 1999 Invariant sets for Windows. With setup disk: Resonance structures, attractors, fractals and patterns. Zbl 0935.37002Morozov, Albert D.; Dragunov, Timothy N.; Boykova, Svetlana A.; Malysheva, Olga V. 1 1999 From order to chaos II. Essays: critical, chaotic, and otherwise. Zbl 1072.82501Kadanoff, Leo P. 1 1999 Methods of qualitative theory in nonlinear dynamics. Part I. Zbl 0941.34001Shilnikov, L. P.; Shilnikov, A. L.; Turaev, D. V.; Chua, Leon O. 178 1998 From chaos to order. Methodologies, perspectives and applications. With a foreword by Alistair Mees. Zbl 0908.93005Chen, Guanrong; Dong, Xiaoning 117 1998 Introduction to control of oscillations and chaos. Zbl 0945.93003Fradkov, A. L.; Pogromsky, A. Yu. 87 1998 CNN: a paradigm for complexity. Zbl 0916.68132Chua, Leon O. 76 1998 Quasi-conservative systems: cycles, resonances and chaos. Zbl 0914.58012Morozov, Albert D. 17 1998 Propagation of waves in hydrodynamics flows. Zbl 0923.76005Stepanyants, Y. A.; Fabrikant, A. L. 6 1998 Lectures in synergetics. Transl. from the Russian by Igor Goliney. Zbl 1072.82500Sugakov, Vladimir Iosifovich 1 1998 Chaos and complexity in nonlinear electronic circuits. Zbl 0924.58053Ogorzałek, Maciej J. 16 1997 Chaotic dynamics in two-dimensional noninvertible maps. Zbl 0906.58027Mira, Christian; Gardini, Laura; Barugola, Alexandra; Cathala, Jean-Claude 152 1996 Chaos in nonlinear oscillators: controlling and synchronization. Zbl 0868.58058Lakshmanan, M.; Murali, K. 117 1996 Frequency-domain methods for nonlinear analysis. Theory and applications. Zbl 0954.65091Leonov, G. A.; Ponomarenko, D. V.; Smirnova, V. B. 80 1996 Hopf bifurcations analysis. A frequency domain approach. Zbl 0911.58027Moiola, Jorge L.; Chen, Guanrong 29 1996 Computational analysis of one-dimensional cellular automata. Zbl 0861.68060Voorhees, Burton H. 8 1996 Nonlinear dynamics in particle accelerators. Zbl 0924.58091Dilão, Rui; Alves-Pires, Rui 5 1996 Continuum mechanics via problems and exercises. Part I: Theory and problems. Part II: Answers and solutions. Zbl 0941.76001 1 1996 Impulsive differential equations. Transl. from the Russian by Yury Chapovsky. Zbl 0837.34003Samoilenko, A. M.; Perestyuk, N. A. 852 1995 Dynamical chaos: models and experiments. Appearance routes and structure of chaos in simple dynamical systems. Zbl 0866.58053Anishchenko, V. S. 21 1995 Turbulence, strange attractors, and chaos. Zbl 0922.76009 13 1995 Smooth invariant manifolds and normal forms. Zbl 0974.34001Bronstein, I. U.; Kopanskii, A. Ya. 29 1994 Stability, structures and chaos in nonlinear synchronization networks. Ed. by A. V. Gaponov-Grekhov and M. I. Rabinovich. Zbl 0845.93003Afraimovich, V. S.; Nekorkin, V. I.; Osipov, G. V.; Shalfeev, V. D. 27 1994 From order to chaos. Essays: critical, chaotic and otherwise. Zbl 0933.01035Kadanoff, L. P. 6 1993 Attractors of quasiperiodically forced systems. Zbl 0870.58047Kapitaniak, Tomasz; Wojewoda, Jerzy 6 1993 all cited Publications top 5 cited Publications all top 5 Cited by 3,517 Authors 52 Gardini, Laura 38 Akhmet, Marat Ubaydulla 36 Leonov, Gennadiĭ Alekseevich 33 Nieto Roig, Juan Jose 26 Ntouyas, Sotiris K. 25 Benchohra, Mouffak 23 Avrutin, Viktor 23 Ouahab, Abdelghani 23 Simpson, David John Warwick 23 Zhusubaliev, Zhanybaĭ Tursunbaevich 20 Bischi, Gian-Italo 20 Chen, Guanrong 20 Gonchenko, Sergey V. 20 Tariboon, Jessada 20 Turaev, Dmitry V. 18 Fradkov, Aleksandr L’vovich 18 Huang, Lin 18 Sushko, Iryna 17 Awrejcewicz, Jan 17 Bashkirtseva, Irina Adol’fovna 17 Llibre, Jaume 17 Mosekilde, Erik 17 Ryashko, Lev Borisovich 16 Fečkan, Michal 16 Tramontana, Fabio 16 Wang, Jinrong 15 Agarwal, Ravi P. 15 O’Regan, Donal 15 Slyn’ko, Vitalii Ivanovich 15 Sun, Ji Tao 15 Yang, Ying 15 Zafer, Ağacık 14 Lakshmanan, Muthusamy 13 Ahmad, Bashir 13 Fournier-Prunaret, Danièle 13 Kuznetsov, Nikolay Vladimirovich 13 Liu, Xinzhi 13 Shen, Jianhua 13 Volos, Christos K. 13 Yan, Zuomao 12 Balachandran, Krishnan 12 Danca, Marius-Florin 12 Jing, Zhujun 12 Morozov, Al’bert Dmitrievich 12 Pham, Viet-Thanh 11 Cao, Jinde 11 Duan, Zhisheng 11 Jafari, Sajad 11 Magnitskii, Nikolai Alexandrovich 11 Sakthivel, Rathinasamy 11 Shilnikov, Andrey L. 11 Stamov, Gani Trendafilov 11 Stamova, Ivanka Milkova 10 Agliari, Anna 10 Alzabut, Jehad O. 10 Chua, Leon Ong 10 Haddad, Wassim Michael 10 Sidorov, Denis Nikolaevich 10 Tkachenko, Victor Ivanovich 10 Wang, Shouhong 10 Zhong, Shou-Ming 9 Alonso-Sanz, Ramón 9 Chen, Haibo 9 Kapitaniak, Tomasz 9 Li, Xiaodi 9 Luo, Zhiguo 9 Moiola, Jorge Luis 9 Nikitina, Nelly Vladimirovna 9 Radhakrishnan, Bheeman 9 Rodríguez-López, Rosana 9 Schanz, Michael 9 Vaidyanathan, Sundarapandian 9 Wang, Xingyuan 9 Zhang, Wei 9 Zhang, Weinian 8 Efimov, Denis V. 8 Feketa, Petro V. 8 Feng, Meiqiang 8 Ge, Weigao 8 Henderson, Johnny Lee 8 Jankowski, Tadeusz 8 Kurths, Jürgen 8 Kuznetsov, Sergey P. 8 Liu, Xingbo 8 Martynyuk, Anatoliĭ Andriĭovych 8 Maugin, Gérard A. 8 Michetti, Elisabetta 8 Osipov, Grigory V. 8 Strelkova, Galina Ivanova 8 Wang, Jinzhi 8 Xu, Wei 8 Yaslan Karaca, Ilkay 7 Anishchenko, Vadim Semenovich 7 Bai, Liang 7 Banerjee, Soumitro 7 Belykh, Vladimir Nikitich 7 Berezovski, Arkadi 7 Churilov, Alexander N. 7 Dai, Binxiang 7 Hsu, Cheng-Hsiung ...and 3,417 more Authors all top 5 Cited in 355 Journals 198 Chaos, Solitons and Fractals 132 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 119 Nonlinear Dynamics 84 Chaos 77 Physics Letters. A 77 Communications in Nonlinear Science and Numerical Simulation 74 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 74 Physica D 72 Applied Mathematics and Computation 70 Advances in Difference Equations 63 Journal of Mathematical Analysis and Applications 46 Journal of Differential Equations 35 Journal of Mathematical Sciences (New York) 35 Nonlinear Analysis. Hybrid Systems 34 Nonlinear Analysis. Real World Applications 34 Discrete and Continuous Dynamical Systems. Series B 30 Computers & Mathematics with Applications 30 Abstract and Applied Analysis 29 Regular and Chaotic Dynamics 28 Mathematics and Computers in Simulation 27 Ukrainian Mathematical Journal 27 Automation and Remote Control 27 Mathematical Problems in Engineering 25 Boundary Value Problems 23 Automatica 22 Discrete Dynamics in Nature and Society 21 Journal of Computational and Applied Mathematics 20 Journal of the Franklin Institute 19 SIAM Journal on Applied Dynamical Systems 18 Physica A 18 Journal of Applied Mathematics and Computing 17 Systems & Control Letters 17 Mathematical and Computer Modelling 17 Nonlinear Oscillations 16 Applied Mathematical Modelling 16 International Applied Mechanics 15 Applied Mathematics Letters 15 Journal of Dynamics and Differential Equations 15 Qualitative Theory of Dynamical Systems 14 Differential Equations and Dynamical Systems 13 Differential Equations 12 Discrete and Continuous Dynamical Systems 11 Nonlinearity 11 Mediterranean Journal of Mathematics 10 International Journal of Engineering Science 10 Journal of Economic Dynamics & Control 10 Doklady Mathematics 10 Lobachevskii Journal of Mathematics 10 Journal of Applied Analysis and Computation 9 Journal of Optimization Theory and Applications 9 Journal of Difference Equations and Applications 8 Journal of Mathematical Physics 8 Mathematical Methods in the Applied Sciences 8 Applied Mathematics and Mechanics. (English Edition) 8 Acta Applicandae Mathematicae 8 Neural Networks 8 Archive of Applied Mechanics 8 Journal of Nonlinear Science 8 Proceedings of the Steklov Institute of Mathematics 8 AIMS Mathematics 8 Russian Journal of Nonlinear Dynamics 7 International Journal of Modern Physics B 7 Acta Mechanica 7 International Journal of Control 7 Journal of Statistical Physics 7 International Journal of Circuit Theory and Applications 7 Vestnik St. Petersburg University. Mathematics 7 Cybernetics and Systems Analysis 7 Complexity 7 Journal of Inequalities and Applications 7 Dynamical Systems 7 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 6 Reports on Mathematical Physics 6 Continuum Mechanics and Thermodynamics 6 Journal of Vibration and Control 6 Fractional Calculus & Applied Analysis 6 Decisions in Economics and Finance 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Journal of Control Theory and Applications 6 Nonlinear Analysis. Theory, Methods & Applications 5 Communications in Mathematical Physics 5 Journal of the Mechanics and Physics of Solids 5 Mathematical Biosciences 5 Physics Reports 5 Fuzzy Sets and Systems 5 Computational Mathematics and Mathematical Physics 5 International Journal of Robust and Nonlinear Control 5 Computational Economics 5 Journal of Computer and Systems Sciences International 5 Fractals 5 European Journal of Control 5 European Journal of Mechanics. A. Solids 5 International Journal of Nonlinear Sciences and Numerical Simulation 5 Journal of Applied Mathematics 5 Quantum Information Processing 5 International Journal of Differential Equations 5 Afrika Matematika 5 Journal of Applied Nonlinear Dynamics 4 Biological Cybernetics 4 Computer Methods in Applied Mechanics and Engineering ...and 255 more Journals all top 5 Cited in 48 Fields 1,356 Ordinary differential equations (34-XX) 917 Dynamical systems and ergodic theory (37-XX) 511 Systems theory; control (93-XX) 297 Biology and other natural sciences (92-XX) 193 Mechanics of particles and systems (70-XX) 176 Partial differential equations (35-XX) 164 Operator theory (47-XX) 113 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 98 Information and communication theory, circuits (94-XX) 96 Mechanics of deformable solids (74-XX) 93 Numerical analysis (65-XX) 89 Difference and functional equations (39-XX) 82 Probability theory and stochastic processes (60-XX) 72 Integral equations (45-XX) 69 Computer science (68-XX) 59 Real functions (26-XX) 50 Global analysis, analysis on manifolds (58-XX) 48 Fluid mechanics (76-XX) 48 Statistical mechanics, structure of matter (82-XX) 26 Quantum theory (81-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 24 Operations research, mathematical programming (90-XX) 20 Statistics (62-XX) 19 Classical thermodynamics, heat transfer (80-XX) 16 History and biography (01-XX) 15 Combinatorics (05-XX) 15 Optics, electromagnetic theory (78-XX) 14 Geophysics (86-XX) 10 Abstract harmonic analysis (43-XX) 7 General and overarching topics; collections (00-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Differential geometry (53-XX) 6 Measure and integration (28-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Manifolds and cell complexes (57-XX) 5 Relativity and gravitational theory (83-XX) 4 Number theory (11-XX) 4 Integral transforms, operational calculus (44-XX) 4 Astronomy and astrophysics (85-XX) 3 Group theory and generalizations (20-XX) 3 Functional analysis (46-XX) 3 General topology (54-XX) 2 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Mathematics education (97-XX) Citations by Year