Maxim Arnold

Assistant Professor

  • 15 Citations
  • 3 h-Index
20042017

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Navier-Stokes System Mathematics
Trajectory Mathematics
Configuration Mathematics
Energy Mathematics
Estimate Mathematics
Converge Mathematics
Fourier transform Mathematics
Hamiltonian Systems Mathematics

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Research Output 2004 2017

  • 15 Citations
  • 3 h-Index
  • 14 Article
  • 1 Conference contribution

Dynamics of discrete time systems with a hysteresis stop operator

Arnold, M., Begun, N., Gurevich, P., Kwame, E., Lamba, H. & Rachinskii, D. 2017 In : SIAM Journal on Applied Dynamical Systems. 16, 1, p. 91-119 29 p.

Research output: Research - peer-reviewArticle

Discrete-time Systems
Hysteresis
Operator
Linear equations
Dynamical systems

Iterating Evolutes and Involutes

Arnold, M., Fuchs, D., Izmestiev, I., Tabachnikov, S. & Tsukerman, E. Jul 1 2017 In : Discrete and Computational Geometry. 58, 1, p. 80-143 64 p.

Research output: Research - peer-reviewArticle

Polygon
Hypocycloid
Linear map
Equiangular
Steiner Point

Square and bow-tie configurations in the cyclic evasion problem

Arnold, M. D., Golich, M., Grim, A., Vargas, L. & Zharnitsky, V. Mar 23 2017 In : Nonlinearity. 30, 5, p. 1773-1787 15 p.

Research output: Research - peer-reviewArticle

Tie
Configuration
bows
configurations
Computer simulation

On a Very Steep Version of the Standard Map

Arnold, M., Dauer, T., Doucette, M. & Wolf, S. C. Oct 4 2016 (Accepted/In press) In : Experimental Mathematics. p. 1-7 7 p.

Research output: Research - peer-reviewArticle

Standard Map
Trajectory
Escape Rate
Long-time Behavior
Analogue
1 Citations

Cyclic evasion in the three bug problem

Arnold, M. & Zharnitsky, V. 2015 In : American Mathematical Monthly. 122, 4, p. 377-380 4 p.

Research output: Research - peer-reviewArticle

Equilateral triangle
Triangle
Converge
Configuration
Energy