Results 61 to 70 of about 30,697 (220)

Measuring the Lyapunov exponent using quantum mechanics

, 2001
We study the time evolution of two wave packets prepared at the same initial state, but evolving under slightly different Hamiltonians. For chaotic systems, we determine the circumstances that lead to an exponential decay with time of the wave packet ...
A. M. Ozorio de Almeida, A. Peres, A. Szafer, B. D. Simons, C. H. Lewenkopf, D. Agassi, E. Lutz, E. R. Mucciolo, F. M. Cucchietti, F. Toscano, G. Benettin, G. Usaj, H. De Raedt, H. M. Pastawski, H. M. Pastawski, H. Yoshida, J. L. Gruver, J. S. E. Ortiz, K. Richter, K. Richter, M. V. Berry, O. Bohigas, Ph. Jacquod, R. A. Jalabert, R. O. Vallejos, R. O. Vallejos, S. A. Gardiner, S. A. Gardiner, S. Tomsovic   +28 more
core   +1 more source

A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws

Advanced Intelligent Discovery, EarlyView.
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows, G. Zhang, S. Anand, Z. Chen, J. Lin, A. Desai, S. Martiniani, F. Caravelli   +7 more
wiley   +1 more source

Extending Battery Usage Time of a Heavy‐Duty Mecanum‐Wheeled Autonomous Electric Vehicle Used in Iron–Steel Industry by Considering Wheel Slippage

Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.
It is a fact that slippage causes tracking errors in both longitudinal and lateral directions which results to have less travel distance in tracking a reference trajectory. Less travel distance means having energy loss of the battery and carrying loads less than planned.
Gokhan Bayar, Goktug Hambarci, Ali Sezai Demirel   +2 more
wiley   +1 more source

Note on the Kaplan-Yorke dimension and linear transport coefficients

, 1999
A number of relations between the Kaplan-Yorke dimension, phase space contraction, transport coefficients and the maximal Lyapunov exponents are given for dissipative thermostatted systems, subject to a small external field in a nonequilibrium stationary
Bonetto, F., Cohen, E. G. D., Evans, Denis J., Searles, Debra J.   +3 more
core   +3 more sources

“It Is Much Safer to Be Sparse than Connected”: Safe Control of Robotic Swarm Density Dynamics with PDE Optimization with State Constraints

Advanced Intelligent Systems, EarlyView.
This paper proposes a novel control framework to ensure safety of a robotic swarm. A feedback optimization controller is capable of driving the swarm toward a target density while keeping risk‐zone exposure below a safety threshold. Theory and experiments show how safety is more effectively achieved for sparsely connected swarms.
Longchen Niu, Gennaro Notomista
wiley   +1 more source

Application of largest Lyapunov exponent analysis on the studies of dynamics under external forces

, 2016
Dynamics of driven dissipative Frenkel-Kontorova model is examined by using largest Lyapunov exponent computational technique. Obtained results show that besides the usual way where behavior of the system in the presence of external forces is studied by ...
Hrvojevic, Milica Pavkov, Mali, Petar, Odavic, Jovan, Pantic, Milan, Tekic, Jasmina   +4 more
core   +1 more source

Vortex interaction, chaos and quantum probabilities [PDF]

, 2005
The motion of a single vortex is able to originate chaos in the quantum trajectories defined in Bohm's interpretation of quantum mechanics. In this Letter, we show that this is also the case in the general situation, in which many interacting vortices ...
Adler S. L., Bohm D., D. A Wisniacki, Dirac P. A. M., E. R Pujals, F Borondo, Holland P. R., Wallace D.   +7 more
core   +3 more sources

Controlling Dynamical Systems Into Unseen Target States Using Machine Learning

Advanced Intelligent Systems, EarlyView.
Parameter‐aware next‐generation reservoir computing enables efficient, data‐driven control of dynamical systems across unseen target states and nonstationary transitions. The approach suppresses transient behavior while navigating system collapse scenarios with minimal training data—over an order of magnitude less than traditional methods.
Daniel Köglmayr, Alexander Haluszczynski, Christoph Räth   +2 more
wiley   +1 more source

Griffiths effects and quantum critical points in dirty superconductors without spin-rotation invariance: One-dimensional examples [PDF]

, 2000
We introduce a strong-disorder renormalization group (RG) approach suitable for investigating the quasiparticle excitations of disordered superconductors in which the quasiparticle spin is not conserved. We analyze one-dimensional models with this RG and
A. A. Abrikosov, A. Altland, A. Ghosal, A. Ghosal, C. Monthus, C. Pepin, D.S. Fisher, David A. Huse, F. J. Dyson, H. J. Schulz, H. Mathur, K. Sengupta, Kedar Damle, L. Balents, L. S. Levitov, N. Read, N. Read, O. Motrunich, Olexei Motrunich, P. W. Brouwer, P. W. Brouwer, P. W. Brouwer, R. A. Hyman, R. A. Hyman, R. Bundschuh, R. Bundschuh, R. Gade, R. Gade, S. Vishveshwara, T. Senthil, T. Senthil, T. Senthil, W. A. Atkinson   +32 more
core   +2 more sources

Material‐Based Intelligence: Autonomous Adaptation and Embodied Computation in Physical Substrates

Advanced Intelligent Systems, EarlyView.
This perspective formulates a unifying framework for Material‐Based Intelligence (MBI), defining the physical requirements for materials to achieve embodied action, active memory and embodied information processing through intrinsic nonequilibrium dynamics. The design of intelligent materials often draws parallels with the complex adaptive behaviors of
Vladimir A. Baulin, Rudolf M. Füchslin, Achille Giacometti, Helmut Hauser, Marco Werner   +4 more
wiley   +1 more source