Results 241 to 250 of about 83,325 (264)

Stability, instability and center manifold theorem for fully nonlinear autonomous parabolic equations in Banach space

Archive for Rational Mechanics and Analysis, 1988
The authors study fully nonlinear equations of parabolic type. They deal with stability, instability and saddle points of an equilibrium and establish the existence of an attracting local center manifold.
G. Da Prato, LUNARDI, Alessandra
openaire   +2 more sources

Holographic dimensional reduction: Center manifold theorem and E-infinity

Chaos, Solitons & Fractals, 2006
Abstract Klein modular curve is shown to be the holographic boundary of E-infinity Cantorian spacetime. The conformal relation between the full dimensional and the reduced space is explored. We show that both spaces analyzed in the appropriate manner give the same results for certain aspects of high energy particle physics and quantum gravity ...
openaire   +1 more source

An Existence Theorem of Smooth Nonlocal Center Manifolds for Systems Close to a System with a Homoclinic Loop

Journal of Nonlinear Science, 1999
Considered are systems of differential equations close to a system that has a homoclinic loop. The study of the dynamics of such systems is facilitated by a dimensional reduction achieved through the construction of a locally invariant center manifold that contains all limit sets.
Shashkov, M. V., Turaev, D. V.
openaire   +1 more source

Compressor Active Stability Control Based on Center Manifold Theorem and Parameter Optimization

2022 41st Chinese Control Conference (CCC), 2022
Chongyi Sun, Fuxiang Quan, Kun-Zhi Liu, Yu Zhang, Xi-Ming Sun   +4 more
openaire   +1 more source

Bifurcation analysis of the permanent-magnet synchronous motor models based on the center manifold theorem

2012
The mathematical model of the permanent-magnet synchronous motor (PMSM) is formulated, and then the center manifold theorem is used to obtain a simplified center manifold equation of the PMSM. Finally, its stability and bifurcation are discussed.
Pong, M, Zhang, B, Mao, Z, Li, Z
openaire   +2 more sources

Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators

Nature Machine Intelligence, 2021
Lu Lu, Pengzhan Jin, Guofei Pang
exaly  

Experimental quantum key distribution certified by Bell's theorem

Nature, 2022
David Nadlinger, C j Ballance, Kirill Ivanov   +2 more
exaly  

Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies

Nature, 2005
Felix Ritort, Christopher Jarzynski
exaly  

A new fixed-time stability theorem and its application to the fixed-time synchronization of neural networks

Neural Networks, 2020
Chuan Chen, Lixiang Li, Haipeng Peng
exaly  

Beyond the Floquet theorem: generalized Floquet formalisms and quasienergy methods for atomic and molecular multiphoton processes in intense laser fields

Physics Reports, 2004
Shih-I Chu, Dmitry A Telnov
exaly