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- Pavel V. Kuptsov, Ulrich Parlitz
- J. Nonlinear Science
- 2012

Pavel V. Kuptsov âˆ— and Ulrich Parlitz 3 Department of Instrumentation Engineering, Saratov State Technical University, Politekhnicheskaya 77, Saratov 410054, Russia Biomedical Physics Group, Maxâ€¦ (More)

- Pavel V. Kuptsov, Razvan A. Satnoianu
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2005

Stationary flow- and diffusion-distributed structures (FDS) patterns appear in a reaction-diffusion-advection system when a constant forcing is applied at the inlet of the reactor. We show that ifâ€¦ (More)

- Pavel V. Kuptsov, Razvan A. Satnoianu, Peter G Daniels
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2005

We study stationary patterns arising from a combination of flow and diffusion in a two-dimensional (2D) reaction-diffusion system in a channel with Poiseuille flow. Both transverse and longitudinalâ€¦ (More)

- Pavel V. Kuptsov
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2012

An effective numerical method for testing the hyperbolicity of chaotic dynamics is suggested. The method employs ideas of algorithms for covariant Lyapunov vectors but avoids their explicitâ€¦ (More)

- Pavel V. Kuptsov, Anna V. Kuptsova
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2014

Covariant Lyapunov vectors for scale-free networks of HÃ©non maps are highly localized. We revealed two mechanisms of the localization related to full and phase cluster synchronization of networkâ€¦ (More)

- Pavel V. Kuptsov, Anna V. Kuptsova
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2015

In this paper we categorize dynamical regimes demonstrated by starlike networks with chaotic nodes. This analysis is done in view of further studying of chaotic scale-free networks, since a starlikeâ€¦ (More)

- Pavel V. Kuptsov, Sergey P. Kuznetsov, Arkady Pikovsky
- Physical review letters
- 2012

We consider time evolution of Turing patterns in an extended system governed by an equation of the Swift-Hohenberg type, where due to an external periodic parameter modulation longwave and shortwaveâ€¦ (More)

- Pavel V. Kuptsov, Ulrich Parlitz
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2010

In the tangent space of some spatially extended dissipative systems one can observe "physical" modes which are highly involved in the dynamics and are decoupled from the remaining set ofâ€¦ (More)

- Pavel V. Kuptsov, Razvan A. Satnoianu
- Mathematics and Computers in Simulation
- 2008

Flow and Diffusion Distributed Structures (FDS) are stationary spatially periodic patterns that can be observed in reaction-diffusion-advection systems. These structures arise when the flow rateâ€¦ (More)

- Pavel V. Kuptsov, Sergey P. Kuznetsov
- Physical review. E
- 2016

We develop a numerical test of hyperbolicity of chaotic dynamics in time-delay systems. The test is based on the angle criterion and includes computation of angle distributions between expanding,â€¦ (More)