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1.

電子ブック
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1. Bifurcation Theory of Impulsive Dynamical Systems. 1st ed. 2021
by Kevin E.M. Church, Xinzhi Liu
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: IFSR International Series in Systems Science and Systems Engineering ; 34
オンライン: https://doi.org/10.1007/978-3-030-64533-5
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Impulsive functional differential equations
Preliminaries
General linear systems
Linear periodic systems
Nonlinear systems and stability
Invariant manifold theory
Smooth bifurcations
Finite-dimensional ordinary impulsive differential equations
Linear systems
Stability for nonlinear systems
Bifurcations
Special topics and applications
Continuous approximation
Non-smooth bifurcations
Bifurcations in models from mathematical epidemiology and ecology
Impulsive functional differential equations
Preliminaries
General linear systems
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電子ブック
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2. Canard Cycles : From Birth to Transition. 1st ed. 2021
by Peter De Maesschalck, Freddy Dumortier, Robert Roussarie
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; 73
オンライン: https://doi.org/10.1007/978-3-030-79233-6
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Part I Basic Notions
1 Basic Definitions and Notions
2 Local Invariants and Normal Forms
3 The Slow Vector Field
4 Slow-Fast Cycles
5 The Slow Divergence Integral
6 Breaking Mechanisms
7 Overview of Known Results
Part II Technical Tools
8 Blow-Up of Contact Points
9 Center Manifolds
10 Normal Forms
11 Smooth Functions on Admissible Monomials and More
12 Local Transition Maps
Part III Results and Open Problems
13 Ordinary Canard Cycles
14 Transitory Canard Cycles with Slow-Fast Passage Through a Jump Point
15 Transitory Canard Cycles with Fast-Fast Passage Through a Jump Point
16 Outlook and Open Problems
Index
References
Part I Basic Notions
1 Basic Definitions and Notions
2 Local Invariants and Normal Forms
3.

電子ブック
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3. Almost Periodic and Almost Automorphic Functions in Abstract Spaces. 2nd ed. 2021
by Gaston M. N'Guérékata
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
オンライン: https://doi.org/10.1007/978-3-030-73718-4
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1. Introduction and Preliminaries
2. Almost Automorphic Functions
3. Almost Automorphy of the Function f(t,x)
4. Differentiation and Integration
5. Pseudo Almost Automorphy
6. Stepanov-like Almost Automorphic Functions
7. Dynamical Systems and C0-Semigroups
8. Almost Periodic Functions with Values in a Locally Convex Space
9. Almost Period Functions with Values in a Non-Locally Convex Space
10. The Equation x'(t)=A(t)x(t)+f(t)
11. Almost Periodic Solutions of the Differential Equation in Locally Convex Spaces
Bibliography
1. Introduction and Preliminaries
2. Almost Automorphic Functions
3. Almost Automorphy of the Function f(t,x)
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電子ブック
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4. Gromov-Hausdorff Stability of Dynamical Systems and Applications to PDEs. 1st ed. 2022
by Jihoon Lee, Carlos Morales
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2022
シリーズ名: Frontiers in Mathematics ;
オンライン: https://doi.org/10.1007/978-3-031-12031-2
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Part I: Abstract Theory
Gromov-Hausdorff distances
Stability
Continuity of Shift Operator
Shadowing from Gromov-Hausdorff Viewpoint
Part II: Applications to PDEs
GH-Stability of Reaction Diffusion Equation
Stability of Inertial Manifolds
Stability of Chafee-Infante Equations
Part I: Abstract Theory
Gromov-Hausdorff distances
Stability
5.

電子ブック
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5. Stabilization for Some Fractional-Evolution Systems. 1st ed. 2022
by Kaïs Ammari, Fathi Hassine, Luc Robbiano
出版情報: Cham : Springer Nature Switzerland : Imprint: Springer, 2022
シリーズ名: SpringerBriefs in Mathematics ;
オンライン: https://doi.org/10.1007/978-3-031-17343-1
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Introduction
1. Fractional-Feedback Stabilization for a Class of Evolution Systems
2. Applications to the Fractional-Damped Wave Equation
3. Stabilization of Fractional Evolution Systems With Memory
Bibliography
Introduction
1. Fractional-Feedback Stabilization for a Class of Evolution Systems
2. Applications to the Fractional-Damped Wave Equation
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6. Research in Mathematics of Materials Science. 1st ed. 2022
edited by Malena I. Español, Marta Lewicka, Lucia Scardia, Anja Schlömerkemper
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2022
シリーズ名: Association for Women in Mathematics Series ; 31
オンライン: https://doi.org/10.1007/978-3-031-04496-0
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Part I: Research Paper - Interaction between oscillation and singular perturbations in a one-dimensional phase-field model (I. Zeppieri)
Grain growth and the effect of different time scales (Epshteyn)
Regularity of minimizers for a general class of constrained energies in two-dimensional domains with applications to liquid crystals (P. Bauman)
On some models in radiation hydrodynamic Poro-visco-elasticity in biomechanics - optimal control (L. Bociu)
Global gradient estimate for a divergence problem and its application to the homogenization of a magnetic suspension (Y. Gorb)
On static and evolutionary homogenization in crystal plasticity for stratified composites (E. Davoli)
On the prescription of boundary conditions for nonlocal Poisson's and peridynamics models (D'Elia)
Existence of global solutions for 2D fluid-elastic interaction with small data (M. Luckas)
Doubly nonlocal Cahn-Hillard equations. Wellposedness and asymptotic behavior (P. Radu)
3D image based stochastic micro-structure modelling of foams for simulating elasticity (K. Schladitz)
Machine learning for failure analysis: a mathematical modelling perspective (Pérez-Velázquez)
Invertibility of Orlicz-Sobolev maps (B. Stroffolini)
Global existence of solutions for the one-dimensional response of viscoelastic solids within the context of strain limiting theory (Y. Şengül)
Generic for dissipative solids with bulk-interface interaction (M. Thomas)
PART II: Review Papers - Phase separation in heterogeneous media (R. Venkataraman)
Some recent results on 2d crystallization for sticky disc models and generalizations for systems of oriented particles (De Luca)
Pattern formation for nematic liquid crystals-modelling, analysis, and applications (A. Majumdar)
On applications of Herglotz-Nevanlinna functions in material sciences, I: classical theory and applications of sum rules (Yvonne Ou)
On applications of Herglotz-Nevanlinna functions in material sciences, II: extended applications and generalized theory (Yvonne Ou)
Rigidity and flexibility in the modelling of shape-memory alloys (A. Rüland).

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Part I: Research Paper - Interaction between oscillation and singular perturbations in a one-dimensional phase-field model (I. Zeppieri)
Grain growth and the effect of different time scales (Epshteyn)
Regularity of minimizers for a general class of constrained energies in two-dimensional domains with applications to liquid crystals (P. Bauman)
7.

電子ブック
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7. Stability of Elastic Multi-Link Structures. 1st ed. 2022
by Kaïs Ammari, Farhat Shel
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2022
シリーズ名: SpringerBriefs in Mathematics ;
オンライン: https://doi.org/10.1007/978-3-030-86351-7
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1. Preliminaries
2. Exponential stability of a network of elastic and thermoelastic materials
3. Exponential stability of a network of beams
4. Stability of a tree-shaped network of strings and beams
5. Feedback stabilization of a simplified model of fluid-structure interaction on a tree
6. Stability of a graph of strings with local Kelvin-Voigt damping
Bibliography
1. Preliminaries
2. Exponential stability of a network of elastic and thermoelastic materials
3. Exponential stability of a network of beams