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Smooth stable manifolds for the non-instantaneous impulsive equations with applications to Duffing oscillators

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2022-03, Vol.478 (2259), p.20210957-20210957

2022

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非線形最適制御とその実用化への取り組み

計測と制御, 2022/02/10, Vol.61(2), pp.139-145

坂本, 登

2022

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Stable manifolds for some partial neutral functional differential equations with non-dense domain

The Journal of integral equations and applications, 2019-09, Vol.31 (3)

Jendoubi, Chiraz

2019

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Invariant Manifolds Around Soliton Manifolds for the Nonlinear Klein–Gordon Equation

SIAM journal on mathematical analysis, 2012-01, Vol.44 (2), p.1175-1210

2012

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Stable manifolds for semi-linear evolution equations and admissibility of function spaces on a half-line

Journal of mathematical analysis and applications, 2009-06, Vol.354 (1), p.372-386

Nguyen, Thieu Huy

2009

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Existence of smooth stable manifolds for a class of parabolic SPDEs with fractional noise

Journal of functional analysis, 2024-01, Vol.286 (2), p.110227, Article 110227

2024

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Linearization and invariant manifolds on the carrying simplex for competitive maps

Journal of Differential Equations, 2019-12, Vol.267 (12), p.7385-7410

2019

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Melnikov Theory for Two-Dimensional Manifolds in Three-Dimensional Flows

SIAM journal on applied dynamical systems, 2022-12, Vol.21 (4), p.2642-2696

2022

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Center stable manifold for planar fractional damped equations

Applied mathematics and computation, 2017-03, Vol.296, p.257-269

2017

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When does stabilizability imply the existence of infinite horizon optimal control in nonlinear systems?

Automatica (Oxford), 2023-01, Vol.147, p.110706, Article 110706

Sakamoto, Noboru

2023

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Dynamics of Threshold Solutions for Energy Critical NLS with Inverse Square Potential

SIAM journal on mathematical analysis, 2022-01, Vol.54 (1), p.173-219

2022

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Stable manifolds to bounded solutions in possibly ill-posed PDEs

Journal of Differential Equations, 2020-04, Vol.268 (8), p.4830-4899

2020

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Shilnikov-type dynamics in three-dimensional piecewise smooth maps

Chaos, solitons and fractals, 2020-04, Vol.133, p.109655, Article 109655

2020

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Transcritical Bifurcations and Algebraic Aspects of Quadratic Multiparametric Families

WSEAS Transactions Mathematics, 2021-04, Vol.20, p.186-195

2021

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C1 Hartman Theorem for random dynamical systems

Advances in mathematics (New York. 1965), 2020-12, Vol.375, p.107375, Article 107375

2020

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Distributed Gradient Flow: Nonsmoothness, Nonconvexity, and Saddle Point Evasion

IEEE transactions on automatic control, 2022-08, Vol.67 (8), p.3949-3964

2022

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Energy analysis of Sun-Earth stable manifolds with a lunar flyby and with application to capture asteroids

Acta astronautica, 2022-09, Vol.198, p.87-99

2022

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Reverse norms and L∞ exponential decay for a class of degenerate evolution systems arising in kinetic theory

Journal of mathematical analysis and applications, 2019-07, Vol.475 (1), p.190-202

2019

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Optimal Swing Up and Stabilization Control for Inverted Pendulum via Stable Manifold Method

IEEE transactions on control systems technology, 2018-03, Vol.26 (2), p.708-715

2018

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Nonlinear Optimal Control — Theory, Application and Implementation

Journal of The Society of Instrument and Control Engineers, 2022/02/10, Vol.61(2), pp.139-145

SAKAMOTO, Noboru

2022

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Discrete dynamics on noncommutative CW complexes

Applied general topology, 2013-01, Vol.14 (2), p.179-193

2013

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Nonlinear Optimal Control for Swing Up and Stabilization of the Acrobot via Stable Manifold Approach: Theory and Experiment

IEEE transactions on control systems technology, 2019-11, Vol.27 (6), p.2374-2387

2019

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Global dynamics above the ground state energy for the focusing nonlinear Klein–Gordon equation

Journal of Differential Equations, 2011-03, Vol.250 (5), p.2299-2333

2011

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Central limit theorems for stochastic gradient descent with averaging for stable manifolds

Electronic journal of probability, 2023-01, Vol.28 (none)

2023

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Admissibly Stable Manifolds for a Class of Partial Neutral Functional Differential Equations on a Half-line

Taiwanese journal of mathematics, 2019-08, Vol.23 (4), p.897-923

2019

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Smooth stable manifolds for the non-instantaneous impulsive equations with applications to Duffing oscillators

非線形最適制御とその実用化への取り組み

Stable manifolds for some partial neutral functional differential equations with non-dense domain

Invariant Manifolds Around Soliton Manifolds for the Nonlinear Klein–Gordon Equation

Stable manifolds for semi-linear evolution equations and admissibility of function spaces on a half-line

Existence of smooth stable manifolds for a class of parabolic SPDEs with fractional noise

Linearization and invariant manifolds on the carrying simplex for competitive maps

Melnikov Theory for Two-Dimensional Manifolds in Three-Dimensional Flows

Center stable manifold for planar fractional damped equations

When does stabilizability imply the existence of infinite horizon optimal control in nonlinear systems?

Dynamics of Threshold Solutions for Energy Critical NLS with Inverse Square Potential

Stable manifolds to bounded solutions in possibly ill-posed PDEs

Shilnikov-type dynamics in three-dimensional piecewise smooth maps

Transcritical Bifurcations and Algebraic Aspects of Quadratic Multiparametric Families

C1 Hartman Theorem for random dynamical systems

Distributed Gradient Flow: Nonsmoothness, Nonconvexity, and Saddle Point Evasion

Energy analysis of Sun-Earth stable manifolds with a lunar flyby and with application to capture asteroids

Reverse norms and L∞ exponential decay for a class of degenerate evolution systems arising in kinetic theory

Optimal Swing Up and Stabilization Control for Inverted Pendulum via Stable Manifold Method

Nonlinear Optimal Control — Theory, Application and Implementation

Discrete dynamics on noncommutative CW complexes

Nonlinear Optimal Control for Swing Up and Stabilization of the Acrobot via Stable Manifold Approach: Theory and Experiment

Global dynamics above the ground state energy for the focusing nonlinear Klein–Gordon equation

Central limit theorems for stochastic gradient descent with averaging for stable manifolds

Admissibly Stable Manifolds for a Class of Partial Neutral Functional Differential Equations on a Half-line

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