#### Filter Results:

- Full text PDF available (8)

#### Publication Year

2010

2016

- This year (0)
- Last 5 years (8)
- Last 10 years (14)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

- Predrag Cvitanovic, Ruslan L. Davidchack, Evangelos Siminos
- SIAM J. Applied Dynamical Systems
- 2010

The continuous and discrete symmetries of the Kuramotoâ€“Sivashinsky system restricted to a spatially periodic domain play a prominent role in shaping the invariant sets of its chaotic dynamics. Theâ€¦ (More)

- Nazmi Burak Budanur, Predrag Cvitanovic, Ruslan L. Davidchack, Evangelos Siminos
- Physical review letters
- 2015

Spatially extended systems, such as channel or pipe flows, are often equivariant under continuous symmetry transformations, with each state of the flow having an infinite number of equivalentâ€¦ (More)

- X. Ding, Hugues ChatÃ©, Pedrag Cvitanovic, Evangelos Siminos, Keigo Takeuchi
- Physical review letters
- 2016

We provide numerical evidence that a finite-dimensional inertial manifold on which the dynamics of a chaotic dissipative dynamical system lives can be constructed solely from the knowledge of a setâ€¦ (More)

We present two continuous symmetry reduction methods for reducing highdimensional dissipative flows to local return maps. In the Hilbert polynomial basis approach, the equivariant dynamics isâ€¦ (More)

X. Ding, H. ChatÃ©, 3 P. CvitanoviÄ‡, E. Siminos, and K. A. Takeuchi Center for Nonlinear Science, School of Physics, Georgia Institute of Technology, Atlanta, GA 30332-0430, USA Service de Physique deâ€¦ (More)

- Evangelos Siminos, M. Grech, Stefan Skupin, T. T. Schlegel, Vladimir Tikhonchuk
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2012

The effective increase of the critical density associated with the interaction of relativistically intense laser pulses with overcritical plasmas, known as self-induced transparency, is revisited forâ€¦ (More)

Symmetry reduction by the method of slices quotients the continuous symmetries of chaotic flows by replacing the original state space by a set of charts, each covering a neighborhood of a dynamicallyâ€¦ (More)

- G SÃ¡nchez-Arriaga, Evangelos Siminos, V. Saxena, Iosif E Kourakis
- Physical review. E
- 2016

This corrects the article DOI: 10.1103/PhysRevE.91.033102.

- G SÃ¡nchez-Arriaga, Evangelos Siminos, V Saxena, Iosif E Kourakis
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2015

Linearly polarized solitary waves, arising from the interaction of an intense laser pulse with a plasma, are investigated. Localized structures, in the form of exact numerical nonlinear solutions ofâ€¦ (More)

- Evangelos Siminos, Didier BÃ©nisti, L. Gremillet
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2011

We study the stability of spatially periodic, nonlinear Vlasov-Poisson equilibria as an eigenproblem in a Fourier-Hermite basis (in the space and velocity variables, respectively) of finiteâ€¦ (More)