Results 1 to 10 of about 63,439 (213)

Poisson stable motions of monotone and strongly sub-linear non-autonomous dynamical systems

Discrete and Continuous Dynamical Systems, 2023
This paper is dedicated to the study of the problem of existence of Poisson stable Bohr/Levitan almost periodic, almost automorphic, almost recurrent, recurrent, pseudo periodic, pseudo recurrent and Poisson stable motions of monotone sub-linear non-autonomous dynamical systems.
Ceban, D.N., Cheban, D.N.
exaly   +5 more sources

Self-oscillating systems with controlled phase of external force [PDF]

Известия высших учебных заведений: Прикладная нелинейная динамика, 2023
The purpose of this work is to study self-oscillatory systems under adaptive external action. This refers to the situation when the phase of the external action additionally depends on the dynamical variable of the oscillator.
Krylosova, Darina Andreevna, Kuznetsov, Aleksandr Petrovich, Sedova, Yu. V., Stankevich, Nataliya Vladimirovna   +3 more
doaj   +1 more source

The Deterministic Nature of Sensor-Based Information for Condition Monitoring of the Cutting Process

Machines, 2021
Condition monitoring of the cutting process is a core function of autonomous machining and its success strongly relies on sensed data. Despite the enormous amount of research conducted so far into condition monitoring of the cutting process, there are ...
Rui Silva, António Araújo
doaj   +1 more source

On Lyapunov Exponents for RNNs: Understanding Information Propagation Using Dynamical Systems Tools

Frontiers in Applied Mathematics and Statistics, 2022
Recurrent neural networks (RNNs) have been successfully applied to a variety of problems involving sequential data, but their optimization is sensitive to parameter initialization, architecture, and optimizer hyperparameters.
Ryan Vogt, Maximilian Puelma Touzel, Maximilian Puelma Touzel, Eli Shlizerman, Eli Shlizerman, Guillaume Lajoie, Guillaume Lajoie   +6 more
doaj   +1 more source

Dynamics of Newtonian Liquids with Distinct Concentrations Due to Time-Varying Gravitational Acceleration and Triple Diffusive Convection: Weakly Non-Linear Stability of Heat and Mass Transfer

Mathematics, 2023
One of the practical methods for examining the stability and dynamical behaviour of non-linear systems is weakly non-linear stability analysis. Time-varying gravitational acceleration and triple-diffusive convection play a significant role in the ...
Pervinder Singh, Vinod K. Gupta, Isaac Lare Animasaun, Taseer Muhammad, Qasem M. Al-Mdallal   +4 more
doaj   +1 more source

Achievable bisimilar behaviour of abstract state systems [PDF]

, 2005
Given a plant system and a desired system, we study conditions for which there exists a controller that interconnected with the plant, yields a system that is bisimilar to the desired system.
Di Benedetto, Maria D., Pola, Giordano, Schaft, Arjan J. van der   +2 more
core   +7 more sources

Motion control of mobile autonomous robots using non-linear dynamical systems approach [PDF]

, 2016
This paper presents a solution to the problem of motion control of an autonomous robot, moving in a dynamical and unstable environment. It is based on non-linear dynamical systems, modelling the state variables that define the motion of a robot under ...
Ferreira, Nuno, Lopes, Gil, Maia, Tiago, Osório, Pedro, Ribeiro, A. Fernando, Ribeiro, Hélder, Roriz, Ricardo   +6 more
core   +1 more source

Generating timed trajectories for an autonomous vehicle: a non-linear dynamical systems approach [PDF]

, 2004
The timing of movements and of action sequences is important when particular events must be achieved in timevarying environments, avoiding moving obstacles or coordinating multiple robots.
Santos, Cristina
core   +1 more source

The Index Bundle and Multiparameter Bifurcation for Discrete Dynamical Systems [PDF]

, 2016
We develop a K-theoretic approach to multiparameter bifurcation theory of homoclinic solutions of discrete non-autonomous dynamical systems from a branch of stationary solutions.
A. Abbondandolo, A. Dold, C. Pötzsche, C. Pötzsche, C. Pötzsche, D. Arlt, D. Henry, E. Park, G. E. Bredon, H. B. Lawson, J. P. May, J. Pejsachowicz, J. Pejsachowicz, J. Pejsachowicz, J. Pejsachowicz, J. Pejsachowicz, J. Pejsachowicz, J. Pejsachowicz, J. Pejsachowicz, J. Pejsachowicz, J. W. Milnor, K. J. Palmer, K. J. Palmer, K. Jänich, M. Crabb, M. F. Atiyah, M. F. Atiyah, M. F. Atiyah, M. G. Zaidenberg, M. Starostka, N. Waterstraat, N. Waterstraat, Nils Waterstraat, O. Perron, P. M. Fitzpatrick, Robert Skiba, S. Lang, S. Secchi, T. Bartsch, T. Hüls, W. A. Coppel, W. Hurewicz   +41 more
core   +2 more sources

Center or Limit Cycle: Renormalization Group as a Probe

, 2010
Based on our studies done on two-dimensional autonomous systems, forced non-autonomous systems and time-delayed systems, we propose a unified methodology - that uses renormalization group theory - for finding out existence of periodic solutions in a ...
A. Goldbeter, A. Sarkar, A. Sarkar, A.J. Koch, B. Delamotte, C.M. Bender, C.W. Eurich, D. B. Banerjee, D. Banerjee, D. Poland, E.D. Cera, E.E. Selkov, F. Jiang, G.C. Paquette, H. Giacomini, I. Lengyel, I. Lengyel, J. K. Bhattacharjee, J.H. He, J.H. He, J.H. He, J.K. Bhattacharjee, L.Y. Chen, L.Y. Chen, M.H. Jensen, N. Goldenfeld, S. Chakraborty, S. Goto, S. Kar, S. Rajendran, S.D. Glazek, T.R. Chigwada   +31 more
core   +1 more source