Showing papers in "Physica D: Nonlinear Phenomena in 2022"

TL;DR: In this article, a nonlocal real reverse-spacetime integrable hierarchies of PT-symmetric matrix AKNS equations through nonlocal symmetry reductions on the potential matrix, and formulate their associated Riemann-Hilbert problems to determine generalized Jost solutions of arbitrary-order matrix spectral problems.

TL;DR: In this paper, a uniform sampling method is implemented for discretization of the Onsager model, and solution landscapes of the ONSAGER model are constructed using saddle dynamics coupled with downward/upward search algorithms.

TL;DR: In this article, the authors use exponential asymptotics to study travelling waves in woodpile systems modelled as singularly perturbed granular chains with zero precompression and small mass ratio.

TL;DR: In this paper, a rigorously validated numerical method was proposed to prove the existence of Hopf bifurcations in functional differential equations of mixed type, and the eigenvalue transversality and steady state conditions were verified using the Newton-Kantorovich theorem.

TL;DR: In this paper, the authors proposed a multivariate stochastic volatility model with time-delayed interactions, and studied its emergent dynamics, and provided theoretical and numerical solutions of the proposed model and showed that their proposed theoretical framework is sufficient for volatility's exponential convergence toward a constant asymptotic value.

TL;DR: In this article, the authors consider the half-wave maps (HWM) equation, which is a continuum limit of the classical Haldane-Shastry spin chain, and explore a many-body dynamical system arising from the HWM equation under the pole ansatz.

TL;DR: In this paper, the authors propose a method that supports the investigation of the reversibility of number-conserving cellular automata, i.e., automata that preserve the sum of the states of all the cells upon every update.

TL;DR: In this article, the evolution of phase space close to complex unstable periodic orbits in two galactic type potentials is investigated, which represent characteristic morphological types of disc galaxies, namely barred and normal (non-barred) spiral galaxies.

TL;DR: In this paper, the authors considered two types of mathematical dynamical models of gene regulatory networks that depict general additive (SUM model) or multiplicative (MULT model) gene regulations.

TL;DR: In this paper, a sharp condition on the density-dependent coefficient of damping of a one-dimensional repulsive Euler-Poisson system is found, which makes it possible to suppress the formation of singularities in the solution of the Cauchy problem with arbitrary smooth data.

TL;DR: In this paper, the dynamics of Kuramoto oscillators are investigated in terms of the exact response theory based on the Dissipation Function, which has been introduced in the field of nonequilibrium molecular dynamics.

TL;DR: In this paper, the authors discuss a practical procedure of phase reconstruction by virtue of a recently proposed method termed iterated Hilbert transform embeddings and exemplify the potential benefits and limitations of the approach by applying it to a generic observable of a forced Stuart-Landau oscillator.

TL;DR: In this article, the authors describe transport of vesicles in an elastic body in terms of a phase field and prove existence and uniqueness of appropriate weak solutions (the so-called regular weak ones).

TL;DR: In this paper, the authors consider arbitrary mixed inhomogeneous boundary conditions for the activator in the singularly perturbed Gierer-Meinhardt system and derive an algebraic system and nonlocal eigenvalue problem respectively describing the structure and linear stability of multi-spike solutions in the case of a one-dimensional domain.