# gst: kinetics and stability of transition waves in viscoelastic bistable lattices.

<< ️Transition waves are central to phase-boundary propagation in solid phase transformations and sequential state switching in multistable metamaterials. However, existing studies are often limited to specific structural prototypes or simplified constitutive models, failing to reveal how wave kinetics and stability can be independently modulated by bistable element parameters. >>

<< ️Here, (AA) investigate transition waves in viscoelastic bistable lattices using a trilinear constitutive model with independently tunable parameters. (..) Results indicate that the energy release rate, boundary strain, transition zone width, and wave profile are strongly regulated by damping and the stiffness characteristics of the bistable spring. Floquet analysis supports the proposed macroscopic criterion that instability arises when the energy release rate decreases with increasing wave velocity, and further reveals that the stable velocity region is mainly governed by the stiffnesses of both the untransformed and transformed phases. >>

<< ️Time-domain simulations show that low-velocity waves are typically unstable, manifesting in two distinct postinstability behaviors: they either split into two separated linear waves and a pinned transition interface, or self-adjust toward a more stable propagation state. >>

<< ️Finally, a Riemann-type initial value problem is considered to determine the initial strain conditions required to initiate transition waves at prescribed velocities. >>

<< ️These results establish a direct link between bistable constitutive parameters, kinetic relations, stability boundaries, postinstability evolution, and initiation conditions, providing a theoretical basis for designing transition-wave-mediated multistable metamaterials. >>

P.Q. Li, C. Wu, K.F. Wang, et al. Kinetics and stability of transition waves in viscoelastic bistable lattices. Phys. Rev. E 114, 044217. Oct 20, 2026.

https://journals.aps.org/pre/abstract/10.1103/rzgj-kq1h

Also: waves, stability, instability, chaos, in https://www.inkgmr.net/kwrds.html 

Keywords: gst, waves, traveling-waves, wave chaos, transition waves, stability, instability, multistable metamaterials, viscoelastic bistable lattices.

# gst: emergence and coexistence of periodic and unstructured motion in future-avoiding random walks.

<< ️Self-avoiding random walks on graphs can be seen as walkers interacting with their own past history. Here, (AA) consider a complementary class of dynamics, mutual future-avoiding random walks (MFARWs), where stochastically driven walkers are avoiding each other's planned future trajectories. ️Such systems arise naturally in conceptual models of shared mobility. >>

<< ️(AA) show that periodic behavior emerges spontaneously in two different MFARWs, and that periodic and unstructured behavior coexist, providing an example of chimera like behavior of nonoscillatory paths on networks. >>

<< Further, (AA) analytically describe and predict the onset of structure. (They) find that the transition from unstructured to periodic behavior is driven by a mechanism of self-amplifying coupling to the periodic components of the stochastic drivers of the system. In the context of shared mobility applications, these states imply a regime of naturally stable coexistence between flexible and line-based public transport. >>

A. Schmaus, K. Stiller, N. Molkenthin. Emergence and coexistence of periodic and unstructured motion in future-avoiding random walks. Phys. Rev. E 114, 044219. Oct 23, 2026.

https://journals.aps.org/pre/abstract/10.1103/9q1j-dlw8

arXiv: 2602.03308v1 [nlin.AO]. Feb 3, 2026.

https://arxiv.org/abs/2602.03308

Also: walk, walking, random, behav, chimera, network, transition, in https://www.inkgmr.net/kwrds.html 

Keywords: gst, walk, walking, randomness, behavior, chimera, networks, transitions, mutual future-avoiding random walks (MFARWs), stochastically driven walkers, periodic behavior, self-amplifying coupling, discontinuous phase transition. 

# gst: wave-crests around obstacles in odd viscous liquids.

<< ️The values of liquid odd-viscosity coefficients remain largely unknown, with only one experimental measurement reported to date [Nat. Phys. 15, 1188 (2019)]. In this work, inspired by the well-known consequences of dispersion surfaces in classical liquids from the work of Lighthill, (AA) theoretically determine the shapes of constant-phase wave crests formed around obstacles moving at constant velocity in two- and three-dimensional odd viscous liquids, which may or may not undergo rigid rotation. From this analysis, (AA) derive parametric relations that the odd-viscosity coefficients must satisfy, providing a framework for their experimental determination. >>

E. Kirkinis, A. Levchenko. Wave-crests around obstacles in odd viscous liquids. Phys. Rev. Fluids 11, 104101. Oct 14, 2026.

https://journals.aps.org/prfluids/abstract/10.1103/sm6p-qky2

arXiv: 2511.07751v1 [physics.flu-dyn]. Nov 11, 2025.

https://arxiv.org/abs/2511.07751

Also: waves, in https://www.inkgmr.net/kwrds.html 

Keywords: gst, waves, viscosity, liquid odd-viscosity coefficient, dispersion surfaces, constant-phase wave crests, hydrodynamic waves, waves and free surface flows. 

# gst: how mobile oscillators reshape dynamical robustness in complex networks.

<< ️While the robustness of collective dynamics in static networks is well established, how agent mobility and network topology jointly shape dynamical robustness remains largely unexplored. >>

<< ️In this letter, (AA) investigate the robustness of mobile Stuart-Landau oscillators performing random walks on networks and interacting diffusively when co-located. In the rapid-mobility regime, (They) reduce the dynamics to a mean-field framework linking network degree statistics to an effective global coupling strength. >> 

<< ️(AA) show analytically that increased degree heterogeneity in the network enhances the effective coupling strength, and strictly lowers the critical threshold of functional degradation for amplitude death. Numerical simulations confirm the predicted heterogeneity-dependent ordering of the transition thresholds, showing an earlier collective collapse in scale-free networks than in random or regular networks. >> 

<< ️(Their) results establish mobility and network heterogeneity as key determinants of robustness in mobile oscillator populations, with implications for resilient biological and engineered collectives. >>

Sayantan Nag Chowdhury, Srilena Kundu. How Mobile Oscillators Reshape Dynamical Robustness in Complex Networks. arXiv: 2610.16608v1 [nlin.AO]. Oct 12, 2026.

https://arxiv.org/abs/2610.16608

Also: network, random, walks, collapse, in https://www.inkgmr.net/kwrds.html 

Keywords: gst, networks, randomness, walks, collapse, mobile oscillators, mobility, transition thresholds.

# gst: apropos of reflex instabilities, the reflex motion of the central object drives at least seven instabilities in accretion discs.

<< This series of papers studies the stability of accretion discs to the reflex motion of the central object under the gravitational pull of the disc itself. In this second paper, (AA) use linear analysis to reproduce or discover seven distinct instabilities. >>

<< (AA) outline their defining characteristics and propose a classification. Of the four instabilities that had already been discovered, three are artificial: one does not survive the transition to modern surface density profiles such as power-laws, one is due to the location of the domain's boundaries, and one is due to the use of damping layers near the domain's boundaries. Only the SLING instability of Adams et al. (1989) and the three new 'cavity' instabilities seem capable of affecting accretion discs. >>

<< All four can be described to a high degree of precision by WKB methods. They may drive eccentricity growth, affect planet migration, create spiral and crescent substructures in the absence of any planet, and boost accretion onto the central object. The issue is that the three artificial instabilities are extremely hard to avoid in simulations, and would bias the same observables. >>

Nathan Magnan, Michel Tagger, Clément Baruteau, et al. Reflex instabilities II: The reflex motion of the central object drives at least seven instabilities in accretion discs. arXiv: 2610.08472v1 [astro-ph.EP]. Oct 6, 2026.

https://arxiv.org/abs/2610.08472

Also: instability, waves, transition, astrophysics, in https://www.inkgmr.net/kwrds.html 

Keywords: gst, instability, waves, transition, astrophysics, accretion discs, reflex instability, damping layers, SLING instability, cavity instability. 

# life: timescale-induced synchronization of contrarians in adaptive dynamical networks.

<< ️From the firing of neurons to the formation of social consensus, the interplay between conformist and contrarian behaviors regulates collective dynamics. (AA) unravel how adaptation timescales induce distinct synchronization behaviors in mixed populations of conformists and contrarians. >>

<< While slow adaptation leaves contrarians in a persistent state of incoherence, fast adaptation traps them into a scaffold formed by conformists, stabilized by rapid feedback from the evolving network structure, leading to the emergence of synchronized clusters. Notably, contrarians are entrained only within an intermediate coupling window and require a conformist majority. >>

<< ️(AA) analytically reduce a low-dimensional description using a collective coordinate approach and demonstrate that a conformist majority and a threshold adaptation rate are necessary conditions for contrarians to synchronize in adaptive networks, which agrees well with numerical simulations. (Their) results highlight the critical role of adaptation timescales in reshaping collective behaviors in mixed populations, offering insights into consensus formation and polarization in adaptive social networks. >>

Akash Yadav, V.K. Chandrasekar, D.V. Senthilkumar. Timescale-induced synchronization of contrarians in adaptive dynamical networks. Phys. Rev. E 114, 044310. Oct 13, 2026.

https://journals.aps.org/pre/abstract/10.1103/v1vq-skr1

Also: behav, network, in https://www.inkgmr.net/kwrds.html 

Keywords: behav, networks, collective dynamics, synchronization, synchronization transition, coupled oscillators, threshold adaptation rate.

# gst: vortex clusters and vortex-filled bubbles in a modified Abelian-Higgs model.

<< (AA) investigate a single-component Abelian-Higgs model with an eighth-order scalar potential whose vacuum manifold consists of two disconnected circles. The model supports two species of vortices and domain walls interpolating between the two vacuum components. (They) find type-1.5-like behavior characterized by nonmonotonic intervortex interactions and bound states of spatially separated vortices. >>

<< Inner-vacuum vortices form clusters through short-range repulsion and long-range attraction, whereas outer-vacuum vortices form vortex-filled bubbles in which a closed domain wall confines multiple inner-vacuum-vortex cores. >>

<< (AA) construct the domain wall analytically, derive the asymptotic vortex-wall interactions, and analyze the fluctuation spectra of coincident multivortices to identify their splitting instabilities. >>

D. Miguélez-Caballero, S. Navarro-Obregón, Muneto Nitta, et al. Vortex clusters and vortex-filled bubbles in a modified Abelian-Higgs model. arXiv: 2610.21930v1 [hep-th]. Oct 15, 2026.

https://arxiv.org/abs/2610.21930

Also: vortex, bubble, instability, transition, in https://www.inkgmr.net/kwrds.html 

Keywords: gst, vortex, bubbles, instability, transitions, short-range repulsion, long-range attraction.