Concepedia

L. P. Shilnikov

LP

38

Publications

2K

Citations

26

H-Index

1966

Active since

Affiliations

Institute of Applied Mathematics(Current)

Ben-Gurion University of the Negev

Yaroslav-the-Wise Novgorod State University

N. I. Lobachevsky State University of Nizhny Novgorod

Georgia State University

L. P. Shilnikov is an author at Institute of Applied Mathematics specializing in stability, geometry, and physics.

Top concepts

StabilityGeometryPhysicsNonlinear DynamicsEngineeringCircuit DesignIntegral GeometryNonlinear SystemsPattern FormationCartography

Publications per year

1966–2014

38

Publications

38

An example of a wild strange attractor

Dmitry Turaev, L. P. Shilnikov · Sbornik Mathematics · 1998 · 151 citations

Pattern Formation, Deterministic Dynamical System, Chaos Theory +9

Dynamical phenomena in systems with structurally unstable Poincaré homoclinic orbits

L. P. Shilnikov, Dmitry Turaev · Chaos An Interdisciplinary Journal of Nonlinear Science · 1996 · 146 citations

Dynamical Phenomena, Deterministic Dynamical System, Strange Attractors +9

On the origin and structure of the Lorenz attractor

Valentin Afraimovich, В. В. Быков, L. P. Shilnikov · Akademiia Nauk SSSR Doklady · 1977 · 142 citations

Chaos Theory, Physics, High-dimensional Chaos +2

CHUA’S CIRCUIT: RIGOROUS RESULTS AND FUTURE PROBLEMS

L. P. Shilnikov · International Journal of Bifurcation and Chaos · 1994 · 136 citations

Deterministic Dynamical System, Engineering, Circuit System +10

NORMAL FORMS AND LORENZ ATTRACTORS

Andrey Shilnikov, L. P. Shilnikov, Dmitry Turaev · International Journal of Bifurcation and Chaos · 1993 · 118 citations

Eleven Cases, High-dimensional Chaos, Global Analysis +6

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