C. Eugene Wayne

4.3k total citations
66 papers, 2.7k citations indexed

About

C. Eugene Wayne is a scholar working on Statistical and Nonlinear Physics, Mathematical Physics and Computer Networks and Communications. According to data from OpenAlex, C. Eugene Wayne has authored 66 papers receiving a total of 2.7k indexed citations (citations by other indexed papers that have themselves been cited), including 34 papers in Statistical and Nonlinear Physics, 29 papers in Mathematical Physics and 12 papers in Computer Networks and Communications. Recurrent topics in C. Eugene Wayne's work include Advanced Mathematical Physics Problems (15 papers), Quantum chaos and dynamical systems (15 papers) and Nonlinear Dynamics and Pattern Formation (12 papers). C. Eugene Wayne is often cited by papers focused on Advanced Mathematical Physics Problems (15 papers), Quantum chaos and dynamical systems (15 papers) and Nonlinear Dynamics and Pattern Formation (12 papers). C. Eugene Wayne collaborates with scholars based in United States, Switzerland and Germany. C. Eugene Wayne's co-authors include Tobias Schäfer, Walter Craig, Guido Schneider, Jean‐Pierre Eckmann, Paul C. Martin, Boris I. Shraiman, Claude‐Alain Pillet, Yeojin Chung, Christopher K. R. T. Jones and Rafael de la Llave and has published in prestigious journals such as Physical Review Letters, Physics Today and Journal of Computational Physics.

In The Last Decade

C. Eugene Wayne

64 papers receiving 2.5k citations

Author Peers

Peers are selected by citation overlap in the author's most active subfields. citations · hero ref

Author Last Decade Papers Cites
C. Eugene Wayne 2.0k 895 533 464 328 66 2.7k
Todd Kapitula 1.1k 0.6× 694 0.8× 507 1.0× 398 0.9× 140 0.4× 52 1.7k
А. И. Нейштадт 1.6k 0.8× 298 0.3× 621 1.2× 396 0.9× 194 0.6× 137 3.4k
Rafael de la Llave 2.2k 1.1× 1.3k 1.4× 171 0.3× 419 0.9× 411 1.3× 155 3.1k
Takuji Kawahara 1.2k 0.6× 443 0.5× 366 0.7× 435 0.9× 201 0.6× 51 2.0k
Carles Simó 2.4k 1.2× 612 0.7× 191 0.4× 758 1.6× 238 0.7× 143 4.1k
Walter Craig 1.3k 0.7× 1.1k 1.3× 238 0.4× 90 0.2× 380 1.2× 73 3.2k
Dmitry E. Pelinovsky 4.8k 2.4× 1.7k 1.9× 2.9k 5.5× 560 1.2× 281 0.9× 244 6.0k
Carmen Chicone 1.1k 0.5× 409 0.5× 180 0.3× 318 0.7× 204 0.6× 117 2.8k
V.G. Makhankov 1.1k 0.6× 540 0.6× 586 1.1× 100 0.2× 187 0.6× 62 1.8k
Bernard Deconinck 1.1k 0.6× 512 0.6× 618 1.2× 90 0.2× 180 0.5× 69 1.7k

Countries citing papers authored by C. Eugene Wayne

Since Specialization
Citations

This map shows the geographic impact of C. Eugene Wayne's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by C. Eugene Wayne with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites C. Eugene Wayne more than expected).

Fields of papers citing papers by C. Eugene Wayne

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by C. Eugene Wayne. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by C. Eugene Wayne. The network helps show where C. Eugene Wayne may publish in the future.

Co-authorship network of co-authors of C. Eugene Wayne

This figure shows the co-authorship network connecting the top 25 collaborators of C. Eugene Wayne. A scholar is included among the top collaborators of C. Eugene Wayne based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with C. Eugene Wayne. C. Eugene Wayne is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Caballero, Daniel & C. Eugene Wayne. (2023). Damped and driven breathers and metastability. Quarterly of Applied Mathematics. 82(1). 7–33.
2.
Eckmann, Jean‐Pierre & C. Eugene Wayne. (2020). Decay of Hamiltonian Breathers Under Dissipation. Communications in Mathematical Physics. 380(1). 71–102. 4 indexed citations
3.
Wayne, C. Eugene, et al.. (2015). Inverse spectral theory for uniformly open gaps in a weighted Sturm–Liouville problem. Journal of Mathematical Analysis and Applications. 427(2). 1168–1189. 3 indexed citations
4.
Ramirez, Rocio, Omar J. Ahmed, Sydney S. Cash, C. Eugene Wayne, & Mark Kramer. (2015). A Biologically Constrained, Mathematical Model of Cortical Wave Propagation Preceding Seizure Termination. PLoS Computational Biology. 11(2). e1004065–e1004065. 35 indexed citations
5.
Schneider, Guido, et al.. (2015). Justification of the Nonlinear Schrödinger Equation for the Evolution of Gravity Driven 2D Surface Water Waves in a Canal of Finite Depth. Archive for Rational Mechanics and Analysis. 220(2). 543–602. 15 indexed citations
6.
Wayne, C. Eugene. (2011). Vortices and two-dimensional fluid motion. Notices of the American Mathematical Society. 58(1). 10–19. 11 indexed citations
7.
Schneider, Guido & C. Eugene Wayne. (2011). Justification of the NLS approximation for a quasilinear water wave model. Journal of Differential Equations. 251(2). 238–269. 16 indexed citations
8.
Wayne, C. Eugene, et al.. (2011). Asymptotic stability of the Toda m-soliton. Journal of Mathematical Analysis and Applications. 386(1). 445–460. 6 indexed citations
9.
Beck, Margaret & C. Eugene Wayne. (2007). Invariant manifolds and the stability of traveling waves in scalar viscous conservation laws. Journal of Differential Equations. 244(1). 87–116. 3 indexed citations
10.
Craig, Walter, et al.. (2007). Математические аспекты поверхностных волн на воде. Успехи математических наук. 62(3). 95–116. 4 indexed citations
11.
Wayne, C. Eugene, et al.. (2006). Boundary controllability of Maxwell's equations with nonzero conductivity inside a cube, II: Lack of exact controllability and controllability for very smooth solutions. Journal of Mathematical Analysis and Applications. 329(2). 1355–1374. 4 indexed citations
12.
Wayne, C. Eugene, et al.. (2006). Boundary controllability of Maxwell's equations with nonzero conductivity inside a cube, I: Spectral controllability. Journal of Mathematical Analysis and Applications. 329(2). 1375–1396. 9 indexed citations
13.
Chung, Yeojin, Christopher K. R. T. Jones, Tobias Schäfer, & C. Eugene Wayne. (2005). Ultra-short pulses in linear and nonlinear media. Nonlinearity. 18(3). 1351–1374. 161 indexed citations
14.
Rottschäfer, Vivi & C. Eugene Wayne. (2001). Existence and Stability of Traveling Fronts in the Extended Fisher–Kolmogorov Equation. Journal of Differential Equations. 176(2). 532–560. 13 indexed citations
15.
Schneider, Guido & C. Eugene Wayne. (2001). Kawahara dynamics in dispersive media. Physica D Nonlinear Phenomena. 152-153. 384–394. 40 indexed citations
16.
Pillet, Claude‐Alain & C. Eugene Wayne. (1997). Invariant Manifolds for a Class of Dispersive, Hamiltonian, Partial Differential Equations. Journal of Differential Equations. 141(2). 310–326. 93 indexed citations
17.
Deift, Percy, C. David Levermore, & C. Eugene Wayne. (1996). Dynamical systems and probabilistic methods in partial differential equations : 1994 Summer Seminar on Dynamical Systems and Probabilistic Methods for Nonlinear Waves, June 20-July 1, 1994, MSRI, Berkeley, CA. American Mathematical Society eBooks.
18.
Bona, Jerry L., Keith Promislow, & C. Eugene Wayne. (1995). Higher-order asymptotics of decaying solutions of some nonlinear, dispersive, dissipative wave equations. Nonlinearity. 8(6). 1179–1206. 25 indexed citations
19.
Eckmann, Jean‐Pierre, et al.. (1993). Normal forms for parabolic partial differential equations. Archive ouverte UNIGE (University of Geneva). 58(3). 287–308. 10 indexed citations
20.
Wayne, C. Eugene. (1986). On the elimination of non-resonance harmonics. Communications in Mathematical Physics. 103(3). 351–386. 12 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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