Results 41 to 50 of about 277,197 (278)

Global bifurcation of homoclinic trajectories of discrete dynamical systems [PDF]

, 2012
We prove the existence of an unbounded connected branch of nontrivial homoclinic trajectories of a family of discrete nonautonomous asymptotically hyperbolic systems parametrized by a circle under assumptions involving the topological properties of the ...
A. Abbondandolo, A.G. Baskakov, C. Pötzsche, C. Pötzsche, C. Pötzsche, D. Husemoller, G. Bachman, J. Pejsachowicz, J. Pejsachowicz, J. Pejsachowicz, J. Pejsachowicz, J. Pejsachowicz, J.C. Alexander, M. Rasmussen, M.F. Atiyah, P.M. Fitzpatrick, P.M. Fitzpatrick, R.J. Sacker, S. Secchi, T. Bartsch, T. Kato   +20 more
core   +2 more sources

Controller Synthesis for Discrete-Time Polynomial Systems via Occupation Measures

, 2018
In this paper, we design nonlinear state feedback controllers for discrete-time polynomial dynamical systems via the occupation measure approach. We propose the discrete-time controlled Liouville equation, and use it to formulate the controller synthesis
Han, Weiqiao, Tedrake, Russ
core   +1 more source

Microglial dynamics and ferroptosis induction in human iPSC‐derived neuron–astrocyte–microglia tri‐cultures

FEBS Open Bio, EarlyView.
A tri‐culture of iPSC‐derived neurons, astrocytes, and microglia treated with ferroptosis inducers as an Induced ferroptosis model was characterized by scRNA‐seq, cell survival, and cytokine release assays. This analysis revealed diverse microglial transcriptomic changes, indicating that the system captures key aspects of the complex cellular ...
Hongmei Lisa Li, Hiroko Ohmiya, Sou Sakamoto, Masato Yugami, Akiko Oki, Makoto Furusawa, Yan Ling   +6 more
wiley   +1 more source

Celulární automat a CML systémy [PDF]

, 2018
The main aim of this thesis is the study of cellular automata and discrete dynamical systems on a lattice. Both tools, cellular automata as well as dynamical systems on a lattice are introduced and elementary properties described.
Štula, Václav
core  

Analysing the significance of small conformational changes and low occupancy states in serial crystallographic data

FEBS Open Bio, EarlyView.
This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill, Yelyzaveta Pulnova, Elke De Zitter, Helen M. Ginn, Briony A. Yorke   +4 more
wiley   +1 more source

Projective Synchronization of Chaotic Discrete Dynamical Systems via Linear State Error Feedback Control

Entropy, 2015
A projective synchronization scheme for a kind of n-dimensional discrete dynamical system is proposed by means of a linear feedback control technique.
Baogui Xin, Zhiheng Wu
doaj   +1 more source

Coherent Dynamics of Quantum Systems with Non-Uniform Fourier Space Excited by Laser Radiation

Zanco Journal of Pure and Applied Sciences, 2022
The algorithm is presented to solve dynamical equations for excitation of molecular models with multiple energy levels. It uses only discrete structures: discrete orthogonal polynomials constructed specially in Fourier space of the probability amplitudes,
Sary Banjak , Vadim Savva
doaj   +1 more source

Pharmacological inhibition of the PERK pathway modulates hepatocellular carcinoma growth and immune signaling

FEBS Open Bio, EarlyView.
Pharmacological inhibition of PERK in a DEN‐induced mouse model of liver cancer does not reduce tumor burden but alters cellular stress signaling. Despite blocking PERK activity, downstream stress responses, including CHOP expression, remain active, suggesting compensatory mechanisms within the unfolded protein response that may influence tumor ...
Ada Lerma‐Clavero, Maria Kopsida, Nathalie Arendt, Hans Lennernäs, Markus Sjöblom, Femke Heindryckx   +5 more
wiley   +1 more source

Parallel Dynamical Systems over Graphs and Related Topics: A Survey

Journal of Applied Mathematics, 2015
In discrete processes, as computational or genetic ones, there are many entities and each entity has a state at a given time. The update of states of the entities constitutes an evolution in time of the system, that is, a discrete dynamical system.
Juan A. Aledo, Silvia Martinez, Jose C. Valverde   +2 more
doaj   +1 more source

On the Complete Integrability of Nonlinear Dynamical Systems on Discrete Manifolds within the Gradient-Holonomic Approach

, 2011
A gradient-holonomic approach for the Lax type integrability analysis of differentialdiscrete dynamical systems is devised. The asymptotical solutions to the related Lax equation are studied, the related gradient identity is stated.
Ablowitz, Abraham, Anatoliy K. Prykarpatsky, Arnold, Baez, Blackmore, Blaszak, Blaszak, Bogolubov, Bogoyavlensky, Deift, Dodd, Faddeev, Fuchsteiner, Gelfand, Golenia, Hardouin, Hentosh, Hentosh, Jimbo, Kupershmidt, Kupershmidt, Lax, Magri, Mitropolsky, Mitropolsky, Newell, Nikolai N. Bogolubov, Pavlov, Pickering, Popowicz, Popowicz, Prykarpatsky, Prykarpatsky, Ragnisco, Reyman, Valeriy H. Samoylenko, Yarema A. Prykarpatsky   +37 more
core   +1 more source