Results 181 to 190 of about 12,108,737 (322)

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, Marina Murillo‐Arcila, Julio Puerta‐Fernández   +2 more
wiley   +1 more source

Delay-Induced Complexity and Chaotic Dynamics in a Network Model of Information Spreading. [PDF]

Entropy (Basel)
Martsenyuk V, Gancarczyk T.
europepmc   +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

Intermittent Two-Point Dynamics at the Transition to Chaos for Random Circle Endomorphisms. [PDF]

Commun Math Phys
Goverse VPH, Homburg AJ, Lamb JSW.
europepmc   +1 more source

ANALYSIS OF TRANSIENT STABILITY OF A MULTIMACHINE POWER SYSTEM USING A VARIABLE GRADIENT LYAPUNOV FUNCTION.

, 1986
Machias, AV, A.V. Machias
core   +1 more source

Toward a Mixed‐Precision ADI Method for Lyapunov Equations

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT We apply mixed‐precision to the low‐rank Lyapunov ADI (LR‐ADI) by performing certain aspects of the algorithm in a lower working precision. Namely, we accumulate the overall solution, solve the linear systems comprising the ADI iteration, and store the inner low‐rank factors of the residuals in various combinations of IEEE 754 single and ...
Jonas Schulze, Jens Saak
wiley   +1 more source

Guidance Navigation and Control for Quadrotor UAV Using Lyapunov-Based Backstepping. [PDF]

Sensors (Basel)
Sasiadek JZ, Shuker A, Al-Isawi MMA.
europepmc   +1 more source

Recursive Feasibility of Nonlinear Stochastic Model Predictive Control With Gaussian Process Dynamics

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, Andreas Völz, Knut Graichen   +2 more
wiley   +1 more source

Stable approach based diagonal recurrent quantum neural networks for identification of nonlinear systems. [PDF]

Sci Rep
Khalil H, Elshazly O, Shaheen O.
europepmc   +1 more source

Robustness of uncertain systems : globally optimal Lyapunov function

The Lyapunov direct method is utilized to determine the robustness bounds for nonlinear, time-variant uncertainies p[subscript i]. Determination of the robustness bounds consists of two principal steps: (i) generation of a Lyapunov function and (ii ...
Ahmadkhanlou, Fariborz
core