Model Reduction of Weakly Nonlinear Systems

Symplectic Model Reduction of Hamiltonian Systems on Nonlinear ...

Moreover, we construct a weakly symplectic deep convolutional autoencoder as a computationally practical approach to approximate a nonlinear ...

"Symplectic Model Reduction of Hamiltonian Systems on Nonlinear ...

We introduce structure-preserving MOR for Hamiltonian systems with symplectic nonlinear maps. Moreover, we suggest a weakly symplectic autoencoder.

Model Reduction for Dynamical Systems with Local Nonlinearities

... weakly coupled to an essentially nonlinear end attachment. 1 Feb 2005 | Wave Motion, Vol. 41, No. 2. Application I: Model Reduction on System Level. 1 Jan 2004.

Nonlinear Model Reduction for Control Workshop and Conference ...

invariant systems, an important sub-class of weakly-nonlinear dynamical systems. We emphasize mainly the case of time-domain data, which ...

On Modeling and Nonlinear Model Reduction in Automotive Systems

suspected that this state-output connection is weak also for the nonlinear system. 48. Page 50. 3.2 The continuous-time case. Determine the average Gramians. As ...

Nonlinear Model Reduction: Using ML to Enable Rapid Simulation ...

Kevin Carlberg (University of Washington), Nonlinear model reduction: using machine learning to enable rapid simulation of extreme-scale ...

Balanced Truncation Model Reduction of Nonlinear Cable-Mass ...

... (weak form) of the system. Later, we use this form to analyze the model. We assume the solution [w, w0,wl] is smooth and satisfies the displacement ...

ADAPTIVE INVERSE CONTROL OF WEAKLY NONLINEAR SYSTEMS

ADAPTIVE INVERSE CONTROL OF WEAKLY NONLINEAR SYSTEMS. Wolfgang J. Klippel. Dresden, Germany. ABSTRACT. A weak nonlinear plant can be linearized and will track.

QLMOR: A Projection-Based Nonlinear Model Order Reduction ...

Section II, we review model order reduction methods for weakly nonlinear and general nonlinear systems. We then provide an overview of the QLMOR method ...

Model Reduction of Systems With Localized Nonlinearities

In problems of modest nonlinearity, one may use basis functions derived from some reference linear system in a nonlinear Galerkin solution for the whole system.

Interpolation-based model reduction of nonlinear systems - mediaTUM

with and . • Many (weakly) nonlinear systems can be approximated by bilinear systems through Carleman bilinearization. Drawback: Dimension of the bilinear ...

Nonlinear Model Reduction by Moment Matching - Now Publishers

Mathematical models are at the core of modern science and technology. An accurate description of behaviors, systems and processes often requires ...

Stabilized model reduction for nonlinear dynamical systems through ...

Stochastic dynamical systems with weak contractivity properties. II: Iteration of Lipschitz mappings, Colloquium Mathematicum 125 (1): 55–81 ...

Application of Data Science in Macromodeling of Nonlinear ... - OUCI

Phillips J., Projection frameworks for model reduction of weakly nonlinear systems, In Proc. Design Automation Conference, с. 184 https://doi.org/10.1145 ...

Controllability and Observability Functions for Model Reduction of ...

Model Reduction of Nonlinear Systems ... linear systems was ¯rst treated in [6], and this work functions need not be well de¯ned for all x 2 M. 0 is strongly in° ...

PhD Position in Data-Driven Nonlinear Model Reduction

SSM-based modeling provides explicit and predictive polynomial ODE models for the observed dominant dynamics of nonlinear systems. A nontechnical introduction ...

Nonautonomous spectral submanifolds for model reduction of ...

... weakly excited systems.17 The method of multiple scales introduces different temporal variables for different timescales. These are then ...

Nonlinear model reduction to temporally aperiodic spectral ...

We extend the theory of spectral submanifolds (SSMs) to general non-autonomous dynamical systems that are either weakly forced or slowly ...

A Weakly Nonlinear System for Waves and Sheared Currents over ...

The reduction of this model to a single mode allows us to obtain a ... The Weakly Nonlinear Coupled-Mode System. The present work is based on the ...

A new approach to nonlinear modelling of dynamic…

For many practical weakly nonlinear systems we have their approximated linear model ... A new method for design and reduction of neuro-fuzzy ...