Results 161 to 170 of about 92,845 (311)
From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9696-9708, June 2026.ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama +2 more
wiley +1 more source
Energy‐Associated Splitting Schemes for Closed Nonlinear Port‐Hamiltonian Systems
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT We present splitting methods for port‐Hamiltonian (pH) systems, focusing on the preservation of their internal structure, in particular, the dissipation inequality. Classical high‐order splitting schemes possess negative step sizes, which might cause instabilities and the violation of the dissipation inequality.
Marius Mönch, Nicole Marheineke
wiley +1 more source
International Journal of Robust and Nonlinear Control, Volume 36, Issue 9, Page 4957-4970, June 2026.ABSTRACT Data‐based learning of system dynamics allows model‐based control approaches to be applied to systems with partially unknown dynamics. Gaussian process regression is a preferred approach that outputs not only the learned system model but also the variance of the model, which can be seen as a measure of uncertainty.
Daniel Landgraf +2 more
wiley +1 more source
Intermittent Two-Point Dynamics at the Transition to Chaos for Random Circle Endomorphisms. [PDF]
Commun Math PhysGoverse VPH, Homburg AJ, Lamb JSW.
europepmc +1 more source
A two-layer multiple Lyapunov functions based stabilization control of switched fuzzy systems
, 2012 Gyorgyi Dymirkovsky, Jinming Luo
openalex +2 more sources
Lyapunov functions for a planar swarm model with application to nonholonomic planar vehicles [PDF]
, 2015 Sandeep A. Kumar +2 more
openalex +1 more source
International Journal of Robust and Nonlinear Control, Volume 36, Issue 9, Page 5069-5086, June 2026.ABSTRACT This work proposes a new framework for stabilizing uncertain linear systems and for determining robust periodic invariant sets and their associated control laws for constrained uncertain linear systems. Necessary and sufficient conditions for stabilizability by periodic controllers are stated and proven using finite step Lyapunov functions for
Yehia Abdelsalam +2 more
wiley +1 more source