Most cited papers in Advanced Differential Equations and Dynamical Systems
What are the most cited papers in Advanced Differential Equations and Dynamical Systems?
The most cited paper in Advanced Differential Equations and Dynamical Systems is "Basic problems in stability and design of switched systems" (Daniel Liberzon, A. Stephen Morse, 1999), with 3,641 citations. Next come "Quantitative universality for a class of nonlinear transformations" (3,615) and "Multiple Lyapunov functions and other analysis tools for switched and hybrid systems" (3,292).
Showing 50 of 100 papers. Every paper with more than 426 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Basic problems in stability and design of switched systems Daniel Liberzon, A. Stephen Morse · IEEE Control Systems | Oct 1999 | 3,641 |
| 2 | Quantitative universality for a class of nonlinear transformations Mitchell J. Feigenbaum · Journal of Statistical Physics | Jul 1978 | 3,615 |
| 3 | Multiple Lyapunov functions and other analysis tools for switched and hybrid systems Michael S. Branicky · IEEE Transactions on Automatic Control | Apr 1998 | 3,292 |
| 4 | A two-dimensional mapping with a strange attractor M. Hénon · Communications in Mathematical Physics | Feb 1976 | 3,002 |
| 5 | Doctoral Dissertation Michael Monastyrsky · Birkhäuser Boston eBooks | 1987 | 2,609 |
| 6 | The Painlevé property for partial differential equations John E. Weiss, M. Tabor, G. F. Carnevale · Journal of Mathematical Physics | Mar 1983 | 2,164 |
| 7 | Bifurcation from simple eigenvalues Michael G. Crandall, Paul H. Rabinowitz · Journal of Functional Analysis | Oct 1971 | 2,092 |
| 8 | Groups of polynomial growth and expanding maps (with an appendix by Jacques Tits) Michael Gromov · Publications mathématiques de l IHÉS | 7 Dec 1981 | 1,846 |
| 9 | Geometric homogeneity with applications to finite-time stability Sanjay P. Bhat, Dennis S. Bernstein · Mathematics of Control Signals and Systems | 16 May 2005 | 1,645 |
| 10 | MATCONT Annick Dhooge, Willy J. F. Govaerts, Yuri A. Kuznetsov · ACM Transactions on Mathematical Software | Jun 2003 | 1,490 |
| 11 | Stability results for fractional differential equations with applications to control processing Denis Matignon | 1996 | 1,442 |
| 12 | Structural controllability Ching-Tai Lin · IEEE Transactions on Automatic Control | Jun 1974 | 1,436 |
| 13 | The universal metric properties of nonlinear transformations Mitchell J. Feigenbaum · Journal of Statistical Physics | Dec 1979 | 1,430 |
| 14 | The double scroll family Leon Ong Chua, M. Komuro, Takashi Matsumoto · IEEE Transactions on Circuits and Systems | Nov 1986 | 1,253 |
| 15 | Finite spectrum assignment problem for systems with delays A. Manitius, Andrzej W. Olbrot · IEEE Transactions on Automatic Control | Aug 1979 | 1,143 |
| 16 | Loop groups and equations of KdV type Graeme B. Segal, George V. Wilson · Publications mathématiques de l IHÉS | 7 Dec 1985 | 1,088 |
| 17 | Nonlinear oscillations, dynamical systems, and bifurcations of vector fields Jack D. Cowan · Mathematical Biosciences | Jun 1986 | 1,084 |
| 18 | Groupes réductifs sur un corps local : I. Données radicielles valuées François Bruhat, Jacques Tits · Publications mathématiques de l IHÉS | 7 Dec 1972 | 1,043 |
| 19 | Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; A method for computing all of them. Part 2: Numerical application Giancarlo Benettin, L. Galgani, Antonio Giorgilli et al. · Meccanica | Mar 1980 | 1,032 |
| 20 | On the concept of attractor John Milnor · Communications in Mathematical Physics | Jun 1985 | 993 |
| 21 | On the Kalman—Yakubovich—Popov lemma Anders Rantzer · Systems & Control Letters | Jun 1996 | 931 |
| 22 | Balls and metrics defined by vector fields I: Basic properties Alexander Nagel, Elias M. Stein, Stephen Wainger · Acta Mathematica | 1985 | 896 |
| 23 | A topological obstruction to continuous global stabilization of rotational motion and the unwinding phenomenon Sanjay P. Bhat, Dennis S. Bernstein · Systems & Control Letters | 2000 | 885 |
| 24 | Chaos in a simple nonlinear system with Atangana–Baleanu derivatives with fractional order Abdon Atangana, İlknur Koca · Chaos Solitons & Fractals | 8 Mar 2016 | 871 |
| 25 | HIDDEN ATTRACTORS IN DYNAMICAL SYSTEMS. FROM HIDDEN OSCILLATIONS IN HILBERT–KOLMOGOROV, AIZERMAN, AND KALMAN PROBLEMS TO HIDDEN CHAOTIC ATTRACTOR IN CHUA CIRCUITS Gennady Alekseevich Leonov, Nikolay V. Kuznetsov · International Journal of Bifurcation and Chaos | 2013 | 853 |
| 26 | Classification of solutions for an integral equation Wenxiong Chen, Congming Li, Biao Ou · Communications on Pure and Applied Mathematics | 19 Dec 2005 | 844 |
| 27 | Homogeneous Lyapunov function for homogeneous continuous vector field Lionel Rosier · Systems & Control Letters | Dec 1992 | 844 |
| 28 | Orbits of families of vector fields and integrability of distributions Héctor J. Sussmann · Transactions of the American Mathematical Society | 1973 | 788 |
| 29 | Non-periodic motion caused by grazing incidence in an impact oscillator Arne Nordmark · Journal of Sound and Vibration | Mar 1991 | 768 |
| 30 | One method for finding exact solutions of nonlinear differential equations Nikolay A. Kudryashov · Communications in Nonlinear Science and Numerical Simulation | 26 Oct 2011 | 765 |
| 31 | A Lie-Backlund approach to equivalence and flatness of nonlinear systems Michel Fliess, Jean Lévine, Philippe Martin et al. · IEEE Transactions on Automatic Control | May 1999 | 764 |
| 32 | The Jacobian conjecture: Reduction of degree and formal expansion of the inverse Hyman E. Bass, E. H. Connell, David L. Wright · Bulletin of the American Mathematical Society | 1982 | 758 |
| 33 | Chaotic streamlines in the ABC flows T. Dombre, U. Frisch, J. M. Greene et al. · Journal of Fluid Mechanics | Jun 1986 | 748 |
| 34 | The Łojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems Jérôme Bolte, Aris Daniilidis, Adrian S. Lewis · SIAM Journal on Optimization | 2007 | 718 |
| 35 | Chaotic behavior of multidimensional difference equations James L. Kaplan, James A. Yorke · Lecture notes in mathematics | 1979 | 712 |
| 36 | Remarks on fractional derivatives Changpin Li, Weihua Deng · Applied Mathematics and Computation | 12 Oct 2006 | 711 |
| 37 | Singularities of vector fields Floris Takens · Publications mathématiques de l IHÉS | 7 Dec 1974 | 710 |
| 38 | Convexity properties of the moment mapping. II Victor Guillemin, S. Sternberg · Inventiones mathematicae | Oct 1984 | 703 |
| 39 | On the dynamics of polynomial-like mappings Adrien Douady, John Hamal Hubbard · Annales Scientifiques de l École Normale Supérieure | 1985 | 679 |
| 40 | The Jacobian matrix and global univalence of mappings David Gale, Hukukane Nikaidô · Mathematische Annalen | Apr 1965 | 678 |
| 41 | Equilibrium points, stability and numerical solutions of fractional-order predator–prey and rabies models E. Ahmed, Ahmed M. A. El-Sayed, H. A. A. El-Saka · Journal of Mathematical Analysis and Applications | 3 Mar 2006 | 677 |
| 42 | On the Nevanlinna characteristic of f(z+η) and difference equations in the complex plane Yik‐Man Chiang, Shaoji Feng · The Ramanujan Journal | May 2008 | 665 |
| 43 | Stability of switched systems: a Lie-algebraic condition Daniel Liberzon, João P. Hespanha, A. Stephen Morse · Systems & Control Letters | Jul 1999 | 657 |
| 44 | Finite time stability under perturbing forces and on product spaces LEONARD L. WEISS, E. F. Infante · IEEE Transactions on Automatic Control | Feb 1967 | 655 |
| 45 | One-Parameter Bifurcations in Planar Filippov Systems Yuri A. Kuznetsov, S. Rinaldi, Alessandra Gragnani · International Journal of Bifurcation and Chaos | Aug 2003 | 652 |
| 46 | Absolutely continuous invariant measures for one-parameter families of one-dimensional maps Michael Jakobson · Communications in Mathematical Physics | Sep 1981 | 649 |
| 47 | A General Theorem on Local Controllability H�ctor J. Sussmann · SIAM Journal on Control and Optimization | 1987 | 635 |
| 48 | Bruno Buchberger’s PhD thesis 1965: An algorithm for finding the basis elements of the residue class ring of a zero dimensional polynomial ideal Bruno Buchberger · Journal of Symbolic Computation | 16 Dec 2005 | 619 |
| 49 | Stability analysis of switched systems with stable and unstable subsystems: An average dwell time approach Guisheng Zhai, Bo Hu, Kazunori Yasuda et al. · International Journal of Systems Science | 2001 | 602 |
| 50 | On Fixed and Periodic Points Under Contractive Mappings Michael L. Edelstein · Journal of the London Mathematical Society | 1962 | 596 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.