Article
Mathematics, Interdisciplinary Applications
Shuangling Yang, Jingjia Qu
Summary: This paper studies a seven-parameter family of generalized Lorenz-like systems, including many well-known chaotic nonlinear systems, to explore the integrability properties and the existence of integrals, revealing new evidence about the connection between non-integrability and chaotic phenomena.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Physics, Applied
Syed Tahir Raza Rizvi, Aly R. Seadawy, Ishrat Bibi, Muhammad Younis
Summary: This paper investigates the (2+1)-dimensional non-linear spin dynamics of Heisenberg ferromagnetic spin chains equation (HFSCE) and obtains various soliton solutions, including chirp free and chirped solitons, bright and bright-like solitons, singular-like solitons, periodic and rational solutions. We also present graphical representation of the solutions.
MODERN PHYSICS LETTERS B
(2021)
Article
Physics, Condensed Matter
R. Mehta, M. Moalic, M. Krawczyk, S. Saha
Summary: In this study, the tunability of spin-wave spectra for a triangular deterministic magnonic fractal, known as a Sierpinski triangle, was investigated using micromagnetic simulations. The spin-wave dynamics were found to change significantly with the number of iterations. A wide frequency gap was observed for structures with a high iteration number, while plenty of mini-frequency bandgaps were observed for structures with high iteration numbers. The frequency gap could be controlled by varying the strength of the magnetic field, and a sixfold symmetry in the frequency gap was observed with changes in the azimuthal angle of the external magnetic field. The spatial distributions of the spin-wave modes allowed for identification of the bands surrounding the gap. These observations are important for the application of magnetic fractals as reconfigurable aperiodic magnonic crystals.
JOURNAL OF PHYSICS-CONDENSED MATTER
(2023)
Article
Physics, Fluids & Plasmas
Angel L. Corps, Armando Relano
Summary: This study examines the spectral statistics of quantum systems with finite Hilbert spaces and reveals that the unfolding procedure may disrupt the correlations between eigenlevels. An analytic expression for the power spectrum of the delta(n) statistic for a model with intermediate statistics is provided, and the impact of unfolding procedure on the results is demonstrated both numerically and analytically. Additionally, a simple model is proposed to explain this phenomenon and tested on various models through numerical simulations.
Article
Materials Science, Multidisciplinary
Maxim Dzero, Alex Levchenko
Summary: We study a two-dimensional electron system with short-ranged nonmagnetic disorder potential, Coulomb interactions, and Rashba spin-orbit coupling. By employing the path-integral approach within the Keldysh formalism, we derive the kinetic equation for the semiclassical Green's function and use it to calculate the spin current within the linear response theory. The frequency dependence of the spin Hall conductivity is examined, and the role of electron interactions at finite temperatures in both ballistic and diffusive transport regimes is explained.
Article
Mathematics, Applied
F. Veerman, I. Schneider
Summary: The paper investigates the use of Pyragas control to stabilize coherent structures in a class of reaction-diffusion systems. Noninvasive Pyragas-like proportional feedback control is used to stabilize a pulse solution in a singularly perturbed reaction-diffusion system. The study shows that the control can stabilize an otherwise unstable pulse in a significant parameter range.
Article
Physics, Multidisciplinary
Chenguang Y. Y. Lyu, Wen-Ge Wang
Summary: This paper examines a quantity that can determine the transition from integrable to chaotic quantum systems by measuring the response of the system's eigenstates to a small perturbation. The quantity is calculated from the distribution of rescaled components of perturbed eigenfunctions on the unperturbed basis. Numerical simulations on the Lipkin-Meshkov-Glick model clearly show that the transition region can be divided into three subregions: a nearly integrable regime, a nearly chaotic regime, and a crossover regime.
Article
Physics, Condensed Matter
D. E. Saldanha-Bautista, E. Padron-Hernandez
Summary: The solutions for magnetostatic spin waves modes in a spherical structure were studied. The displacement currents in the dielectric core were found to cause changes in the dispersion relation curves of the solutions.
PHYSICA B-CONDENSED MATTER
(2023)
Article
Mathematics, Interdisciplinary Applications
Yigit Ertac Pektas, E. Can Artun, A. Nihat Berker
Summary: The characteristics of a spin-glass system with a smooth or fractal outer surface were studied using renormalization-group theory. The study found that the spin-glass ordering on the smooth surface is different in the presence or absence of bulk spin-glass ordering, while the fractal surface always exhibits spin-glass ordering.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Physics, Multidisciplinary
I. T. Habibullin, M. N. Kuznetsova
Summary: The article explores the Darboux integrability of systems of differential-difference equations of hyperbolic type, showing that the system is Darboux integrable only when its characteristic algebras are finite-dimensional in both directions.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Physics, Multidisciplinary
Tamas Gombor
Summary: This article highlights the significance of long-range spin chains in the gauge-string duality and generalizes the transfer matrices of integrable medium-range spin chains to long-range models. The introduced transfer matrices define conserved charges for each length of the spin chain, providing a definition for integrable finite-size long-range spin chains with the inclusion of wrapping corrections in their spectrum.
PHYSICAL REVIEW LETTERS
(2022)
Article
Astronomy & Astrophysics
Jitendra Pal, Arnab Mukherjee, Arindam Lala, Dibakar Roychowdhury
Summary: In this study, we utilized the concept of gauge/string duality to discuss the Liouvillian (non) integrability criteria of string sigma models in the Arutyunov-Bassi-Lacroix (ABL) model proposed by Arutyunov et al. (2021). Our analysis revealed the nonintegrability of the associated sigma model and confirmed analytic integrability for the decoupled sector, complementing previous results through numerical analysis and Lax pair formulation.
Review
Computer Science, Interdisciplinary Applications
Godiya Yakubu, Pawel Olejnik, Jan Awrejcewicz
Summary: This article presents a comprehensive review of variable-length pendulums, evaluating the current trends in the field through mathematical modeling, dynamical analysis, and computer simulations. The future perspectives and applications of variable-length pendulums are also discussed. The importance of basic knowledge of constant-length pendulums in accurately describing physical processes is emphasized. Additionally, an extended model for a variable-length pendulum's mechanical application is proposed, and its potential usage in reducing residual vibrations and applications in mechatronic and robotic systems are explored.
ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING
(2022)
Article
Physics, Fluids & Plasmas
Crt Lozej, Dragan Lukman, Marko Robnik
Summary: This paper investigates two classical and quantum mixed-type lemon billiards, analyzing their structural and localization properties. Regular states associated with invariant tori, chaotic states associated with classically chaotic regions, and mixed-type states were observed.
Article
Materials Science, Multidisciplinary
Rohit Kumar Shukla, Arul Lakshminarayan, Sunil Kumar Mishra
Summary: We study the out-of-time-order correlators (OTOC) in the Ising Floquet system, which can be both integrable and nonintegrable. Instead of localized spin observables, we investigate contiguous symmetric blocks of spins or random operators localized on these blocks as observables. We find that the OTOC shows only a power-law growth in both integrable and nonintegrable regimes. In the nonintegrable regime, there is an exponential saturation of the OTOC after the scrambling time, consistent with random matrix theory. This leads to the use of "prescrambled" random block operators as observables. We observe a pure exponential saturation of the OTOC in both integrable and nonintegrable systems, without a scrambling phase. Averaging over random observables from the Gaussian unitary ensemble, we find that the OTOC is exactly the same as the operator entanglement entropy, which has been observed to exhibit exponential saturation in previous studies of such spin chains.
Article
Optics
A. Govindarajan, Boris A. Malomed, M. Lakshmanan
Article
Physics, Multidisciplinary
S. Stalin, R. Ramakrishnan, M. Lakshmanan
Article
Physics, Applied
R. Arun, R. Gopal, V. K. Chandrasekar, M. Lakshmanan
JOURNAL OF APPLIED PHYSICS
(2020)
Editorial Material
Physics, Mathematical
V. K. Chandrasekar, A. K. Tiwari, S. N. Pandey, M. Senthilvelan, M. Lakshmanan
JOURNAL OF MATHEMATICAL PHYSICS
(2020)
Article
Physics, Multidisciplinary
M. Sathish Aravindh, R. Gopal, A. Venkatesan, M. Lakshmanan
PRAMANA-JOURNAL OF PHYSICS
(2020)
Article
Physics, Multidisciplinary
A. K. Shafeeque Ali, M. Lakshmanan
Article
Physics, Multidisciplinary
A. K. Shafeeque Ali, Malik Zaka Ullah, M. Lakshmanan
Article
Physics, Multidisciplinary
A. Sharafali, A. K. Shafeeque Ali, M. Lakshmanan
Summary: In this paper, a liquid core suspended photonic crystal fiber (LCSPCF) is proposed as a potential waveguide structure for nonlinear applications, emphasizing the improved nonlinear properties through liquid infiltration and suspension effect. The study reveals that quintic nonlinearity (QN) enhances modulation instability for cooperating nonlinearities and suppresses it for competing nonlinearities. Additionally, the effect of QN on modulation instability induced supercontinuum generation (SCG) in silica and CS2 liquid core PCF was investigated.
Article
Mathematics, Interdisciplinary Applications
K. Sathiyadevi, D. Premraj, Tanmoy Banerjee, Zhigang Zheng, M. Lakshmanan
Summary: We investigated the aging transition in a globally coupled network of Stuart-Landau oscillators under discrete time-dependent coupling. Our findings reveal that by adjusting the time period and duty cycle of the ON-OFF intervals, the aging region can significantly shrink, leading to the restoration of oscillatory dynamics. The results also indicate that the type of coupling and pulse interval play crucial roles in controlling the aging dynamics, providing a noninvasive approach to restore oscillatory dynamics from an aging state in a coupled oscillator network.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Physics, Multidisciplinary
V. K. Chandrasekar, R. Gladwin Pradeep, R. Mohanasubha, M. Senthilvelan, M. Lakshmanan
Summary: This paper addresses the challenging problem of identifying higher dimensional nonlinear ordinary differential equations (ODEs) that possess a Lagrangian structure. The authors propose a systematic algorithmic procedure to determine the Lagrangian by obtaining a set of constraints in the form of Helmholtz conditions for a system of two coupled second-order ODEs. The analysis is demonstrated using appropriate examples.
EUROPEAN PHYSICAL JOURNAL PLUS
(2023)
Article
Physics, Fluids & Plasmas
S. Stalin, R. Ramakrishnan, M. Lakshmanan
Summary: In this paper, the authors study the dynamics of a class of interesting vector solitons in the long-wave-short-wave resonance interaction system. They derive nondegenerate vector soliton solutions using the Hirota bilinear method and express the solutions in a compact form using Gram-determinants. The authors also analyze the collision scenarios of the solitons and point out the shape-changing behavior of the nondegenerate solitons, which has not been observed in the already known vector solitons.
Article
Physics, Fluids & Plasmas
R. Ramakrishnan, S. Stalin, M. Lakshmanan
Article
Optics
S. Vignesh Raja, A. Govindarajan, A. Mahalingam, M. Lakshmanan
Article
Optics
S. Vignesh Raja, A. Govindarajan, A. Mahalingam, M. Lakshmanan
Article
Optics
S. Vignesh Raja, A. Govindarajan, A. Mahalingam, M. Lakshmanan