Local manifold approximation of dynamical system based on neural ordinary differential equation
Xiao Ya, Zhixia Jiang, Pinchao Meng, Weishi Yin, Dequan Qi, Linhua Zhou
Topics & Concepts
Center manifoldOrdinary differential equationManifold (fluid mechanics)MathematicsInvariant manifoldDynamical systems theoryMathematical analysisDifferential equationExact differential equationDynamical system (definition)Applied mathematicsPhysicsBifurcationNonlinear systemEngineeringQuantum mechanicsMechanical engineeringHopf bifurcationModel Reduction and Neural NetworksNeural Networks and ApplicationsAdvanced Decision-Making Techniques