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[HTML][HTML] Beyond the Bristol book: Advances and perspectives in non-smooth dynamics and applications
Non-smooth dynamics induced by switches, impacts, sliding, and other abrupt changes are
pervasive in physics, biology, and engineering. Yet, systems with non-smooth dynamics …
pervasive in physics, biology, and engineering. Yet, systems with non-smooth dynamics …
Twenty Hopf-like bifurcations in piecewise-smooth dynamical systems
For many physical systems the transition from a stationary solution to sustained small
amplitude oscillations corresponds to a Hopf bifurcation. For systems involving impacts …
amplitude oscillations corresponds to a Hopf bifurcation. For systems involving impacts …
Emergence of the London Millennium Bridge instability without synchronisation
The pedestrian-induced instability of the London Millennium Bridge is a widely used
example of Kuramoto synchronisation. Yet, reviewing observational, experimental, and …
example of Kuramoto synchronisation. Yet, reviewing observational, experimental, and …
[HTML][HTML] Sliding homoclinic bifurcations in a Lorenz-type system: Analytic proofs
Non-smooth systems can generate dynamics and bifurcations that are drastically different
from their smooth counterparts. In this paper, we study such homoclinic bifurcations in a …
from their smooth counterparts. In this paper, we study such homoclinic bifurcations in a …
[HTML][HTML] A Lorenz-type attractor in a piecewise-smooth system: Rigorous results
Chaotic attractors appear in various physical and biological models; however, rigorous
proofs of their existence and bifurcations are rare. In this paper, we construct a simple …
proofs of their existence and bifurcations are rare. In this paper, we construct a simple …
Foot force models of crowd dynamics on a wobbly bridge
Modern pedestrian and suspension bridges are designed using industry standard
packages, yet disastrous resonant vibrations are observed, necessitating multimillion dollar …
packages, yet disastrous resonant vibrations are observed, necessitating multimillion dollar …
Synchronization in multilayer networks: When good links go bad
Many complex biological and technological systems can be represented by multilayer
networks where the nodes are coupled via several independent networks. Despite its …
networks where the nodes are coupled via several independent networks. Despite its …
When three is a crowd: Chaos from clusters of Kuramoto oscillators with inertia
Modeling cooperative dynamics using networks of phase oscillators is common practice for
a wide spectrum of biological and technological networks, ranging from neuronal …
a wide spectrum of biological and technological networks, ranging from neuronal …
Bifurcations of chaotic attractors in a piecewise smooth Lorenz-type system
We study the dynamics of a piecewise-smooth system of differential equations for which the
existence of a strange Lorenz-type attractor had been rigorously proved previously and …
existence of a strange Lorenz-type attractor had been rigorously proved previously and …
Hybrid Model for Pedestrian-Induced Lateral Vibrations of Footbridge Based on Pedestrian Phase Evolution and Inverted Pendulum Model: Simulation and Validation
B Jia, Y Chen, X Yu - Journal of Bridge Engineering, 2024 - ascelibrary.org
The inverted pendulum model is currently a widely accepted pedestrian lateral force model
in the study of pedestrian-induced lateral vibration. The inverted pendulum model proposes …
in the study of pedestrian-induced lateral vibration. The inverted pendulum model proposes …