Chaotic Dynamics Papers of the Week

Here, we introduce \emph{odd capillarity}, a parity-breaking interfacial mechanical response, by incorporating a symmetric, nonvariational, parity-odd capillary stress into the Cahn--Hilliard--Navier--Stokes (CHNS) equations.

In this Letter, we investigate how quenched randomness modifies particle diffusion.

We propose a model, based on a spectral energy balance argument, that provides an estimate of the dimension of the inertial manifold of the one-dimensional Kuramoto-Sivashinsky equation (KSE).

We investigate general properties of entropy-production fluctuations near the onset of chaos and within the chaotic regime in reversible, well-mixed reaction networks.

Here we show that a hierarchy of inertia, coupled by the purely geometric nonlinearity of rigid constraints, is enough.

A finite local excitation can trigger sustained periodic or chaotic motion while the resting state remains linearly stable. We develop a return-map theory that predicts the triggering threshold, its scaling with directional gain, and the instability governing near-critical dynamics.

In this article, we provide an interdisciplinary perspective on modern analog and hybrid (i.e., analog-digital) computing.

The definition of self-organized criticality (SOC) is ambiguous and controversial. Here we discuss the nonlinear physics of six basic SOC definitions, such as: phase transitions, fractal structures, power laws, SOC contingency, exponential growth, and diffusive decay.

Here we introduce PRISM (Physics-Resolved Inference and Screening Meta-framework), an agentic framework coupling multilayer optical transfer-matrix electrodynamics, two-temperature electron-phonon relaxation, and nonlocal Guyer-Krumhansl phonon hydrodynamics within a unified admittance formalism, paired with singular-value-decomposition identifiability screening and knowledge-guided routing.

We investigate a family of protocols in which the order of the induced nonlinearity is controlled by the number of qubits involved in a single step.

For orders $n=2$ to $5$, we map the box-counting dimension of the pure-state Julia sets over the complex parameter plane and identify the symmetries that constrain it.

In this paper we establish a new theorem for nonintegrability of a perturbed, autonomous, two-degree-of-freedom Hamiltonian dynamical system with two independent resonances, based on a criterion which utilizes the well-known theorem of Poincaré and a Lie-series symplectic transformation.

At larger amplitudes the whirl becomes modulated, reverses its direction, and becomes chaotic. Three models of this motion are in common use: the geometrically exact string equations; a two-mode model -- the Kirchhoff-Carrier equation with one transverse mode in each plane; and the averaged equations for the slow amplitudes of those two modes.

Linear and nonlinear mechanical structures with closely spaced modes and non-classical (nonproportional) damping distribution are susceptible to modal interactions with energy exchanges between modes. In this work we analyze these interactions in a two-degree-of-freedom (2 DoF) coupled oscillator subject to impulse excitation, utilizing action-angle variables and the method of multiple scales.

Hybrid Lattices (HLs) are proposed in order to provide a novel framework to investigate turbulent cascades in Fourier space, combining regular grids and cascade models based on logarithmic discretisations.

We derive from the elementary reactions of the process, without reference to the differential equations, a discrete-time model in which the population is updated in rounds of length $\tau$, as in elections, meetings or turns of a game: each individual makes at most one transition per round, events compete as exponential risks, and adoptions take effect from the next round.