Results 61 to 70 of about 134,686 (230)

Chaotic and Arnold stripes in weakly chaotic Hamiltonian systems

, 2012
The dynamics in weakly chaotic Hamiltonian systems strongly depends on initial conditions and little can be affirmed about generic behaviors. Using two distinct Hamiltonian systems, namely one particle in an open rectangular billiard and four particles ...
Beims, Marcus W., Custódio, Marcelo S., Manchein, Cesar   +2 more
core   +1 more source

Approximation of nearly-periodic symplectic maps via structure-preserving neural networks

Scientific Reports, 2023
A continuous-time dynamical system with parameter $$\varepsilon$$ ε is nearly-periodic if all its trajectories are periodic with nowhere-vanishing angular frequency as $$\varepsilon$$ ε approaches 0.
Valentin Duruisseaux, Joshua W. Burby, Qi Tang   +2 more
doaj   +1 more source

Characterizing weak chaos in nonintegrable Hamiltonian systems: the fundamental role of stickiness and initial conditions

, 2014
Weak chaos in high-dimensional conservative systems can be characterized through sticky effect induced by invariant structures on chaotic trajectories.
Beims, Marcus W., Manchein, Cesar, Rost, Jan M.   +2 more
core   +1 more source

Spectral theory of discrete linear Hamiltonian systems

Journal of Mathematical Analysis and Applications, 2004
The author considers the discrete linear Hamiltonian system \(\Delta x(t)=A(t)x(t+1)+ B(t)u(t)\), \(\Delta u(t)=[C(t)-\lambda\omega(t)]x(t+1)-A^\ast(t)u(t)\), \(t\in[0,N]\), with the boundary condition \[ R\left(\begin{matrix} -x(0)\\ x(N+1)\end{matrix}\right) +S\left(\begin{matrix} u(0)\\ u(N+1)\end{matrix}\right)=0, \] where \(A,B,C\) and \(\omega ...
openaire   +2 more sources

Universal state conversion in discrete and slowly varying non-Hermitian cyclic systems: An analytic proof and exactly solvable examples

Physical Review Research, 2023
In this paper, we formally prove how, by cyclically varying the parameters of a generalized two-level discrete and non-Hermitian Hamiltonian, the respective state vector converts to the instantaneous eigenstate of the system in the adiabatic limit ...
Nicholas S. Nye
doaj   +1 more source

Density operators that extremize Tsallis entropy and thermal stability effects

, 2005
Quite general, analytical (both exact and approximate) forms for discrete probability distributions (PD's) that maximize Tsallis entropy for a fixed variance are here investigated.
A. Plastino, C. Vignat, de Souza, Ferri, Latora, Mandl, Plastino, Plastino, Plastino, Reif, Szablowski, Tsallis, Tsallis, Wyllie   +13 more
core   +1 more source

A Hybrid Semi‐Inverse Variational and Machine Learning Approach for the Schrödinger Equation

Advanced Physics Research, EarlyView.
A hybrid semi‐inverse variational and machine‐learning framework is presented for solving the Schrödinger equation with complex quantum potentials. Physics‐based variational solutions generate high‐quality training data, enabling Random Forest and Neural Network models to deliver near‐perfect energy predictions.
Khalid Reggab, Houssam Eddine Hailouf, Kingsley Onyebuchi Obodo, Mireille Megnidio‐Tchoukouegno, Mohammed Benali Kanoun, Souraya Goumri‐Said   +5 more
wiley   +1 more source

Partitioning technique for a discrete quantum system

, 2011
We develop the partitioning technique for quantum discrete systems. The graph consists of several subgraphs: a central graph and several branch graphs, with each branch graph being rooted by an individual node on the central one.
I. Hubač, I. Lindgren, L. Jin, S. Datta, X.-G. Wen, Z. Song   +5 more
core   +1 more source

A [3]Rotaxane Containing {Ti7Ga} Rings Linking CuII: Synthesis, Structure, and Spectroscopic Studies

Chemistry – A European Journal, EarlyView.
Extended hybrid inorganic‐organic [2]‐ and [3]‐rotaxanes are reported based on heterometallic rings with threads that link CuII complexes; the crystal structures are reported, and the solution behavior is investigated by double electron electron resonance spectroscopy methods.
Selena J. Lockyer, Lubomir Loci, George F. S. Whitehead, Inigo J. Vitorica‐Yrezabal, Grigore A. Timco, Alice M. Bowen, Eric J. L. McInnes, Richard E. P. Winpenny   +7 more
wiley   +1 more source

Nonexistence of Homoclinic Solutions for a Class of Discrete Hamiltonian Systems

Abstract and Applied Analysis, 2013
We give several sufficient conditions under which the first-order nonlinear discrete Hamiltonian system Δx(n)=α(n)x(n+1)+β(n)|y(n)|μ-2y(n),Δy(n)=-γ(n)|x(n+1)|ν-2x(n+1)-α(n)y(n) has no solution (x(n),y(n)) satisfying condition ...
Xiaoping Wang
doaj   +1 more source