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1. The Many Facets of Complexity Science : In Memory of Professor Valentin Afraimovich. 1st ed. 2021
edited by Dimitri Volchenkov
出版情報: Singapore : Springer Nature Singapore : Imprint: Springer, 2021
シリーズ名: Nonlinear Physical Science ;
オンライン: https://doi.org/10.1007/978-981-16-2853-5
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Chapter 1. Maurice Courbage: The Directional Entropy for Spatially Extended Dynamical Systems
Chapter 2. Olivier Bui, Xavier Leoncini, Detecting Regularity with Complexity Functions
Chapter 3. Raul Rechtman, Local Complexity Functions of the Ehrenfest’s wind-tree model
Chapter 4. Bastien Fernandez, Selective Chaos of Travelling Waves in Feedforward Chains of Bistable Maps
Chapter 5. Yeyin Xu, Albert C.J. Luo, On Periodic Motions in a van der Pol Oscillator Chapter 6. Jianzhe Huang, Fuhong Min , Hidden periodic motions for brushless motor with unsteady torque excitation
Chapter 7. Stefano Boccaletti, H. Bi, T. Qui, I. Bonamassa, Shuguang Guan, Chunking Rhythmic Synchronization: Bellerophon States and Quantized Clusters of Globally Coupled Phase Oscillators
Chapter 8. Shasha Zheng, Xilin Fu, Chatter Dynamics and Stability of the Impulsive van der Pol Equation
Chapter 9. Xilin Fu, Yanyan Zhang, Complex Motions in an Inclined Impact Pair With a Periodic Excitation
Chapter 10. Dmitry V. Kovalevsky, Igor L. Bashmachnikov: Nonlinear Dynamics of Deep Open-Ocean Convection: An Analytical Approach
Chapter 11. Messoud Efendiev, Vitali Vougalter: On the Necessary Conditions for Preserving the Nonnegative Cone: Mixed Diffusion
Chapter 12. Dimitri Volchenkov，Veniamin Smirnov: Multi-scale Analysis of Urban Spatial Structures acquired from OpenStreetMap
Chapter 1. Maurice Courbage: The Directional Entropy for Spatially Extended Dynamical Systems
Chapter 2. Olivier Bui, Xavier Leoncini, Detecting Regularity with Complexity Functions
Chapter 3. Raul Rechtman, Local Complexity Functions of the Ehrenfest’s wind-tree model
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2. Stabilization of Distributed Parameter Systems: Design Methods and Applications. 1st ed. 2021
edited by Grigory Sklyar, Alexander Zuyev
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: ICIAM 2019 SEMA SIMAI Springer Series ; 2
オンライン: https://doi.org/10.1007/978-3-030-61742-4
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1. Barkhayev, P. et al, Conditions of Exact Null Controllability and the Problem of Complete Stabilizability for Time-Delay Systems
2. Gugat, M. et al., The finite-time turnpike phenomenon for optimal control problems: Stabilization by non-smooth tracking terms
3. Kalosha, J. et al., On the eigenvalue distribution for a beam with attached masses
4. Macchelli, A. et al., Control design for linear port-Hamiltonian boundary control systems. An overview. – 5. Otto, E. et al., Nonlinear Control of Continuous Fluidized Bed Spray Agglomeration Processes. – 6. Sklyar, G. et al., On polynomial stability of certain class of C_0 semigroups
7. Woźniak, J. et al., Existence of optimal stability margin for weakly damped beams
8. Zuyev, A. et al., Stabilization of crystallization models governed by hyperbolic systems
1. Barkhayev, P. et al, Conditions of Exact Null Controllability and the Problem of Complete Stabilizability for Time-Delay Systems
2. Gugat, M. et al., The finite-time turnpike phenomenon for optimal control problems: Stabilization by non-smooth tracking terms
3. Kalosha, J. et al., On the eigenvalue distribution for a beam with attached masses
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3. Multi-dimensional Control Problems : Robust Approach. 1st ed. 2022
by Anurag Jayswal, Preeti, Savin Treanţӑ
出版情報: Singapore : Springer Nature Singapore : Imprint: Springer, 2022
シリーズ名: Industrial and Applied Mathematics ;
オンライン: https://doi.org/10.1007/978-981-19-6561-6
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Preface
Glossary of Notations
Chapter 1. Introduction
Chapter 2. Multi-dimensional Variational Control Problem with Data Uncertainty in Objective Functional
Chapter 3. Multi-dimensional Variational Control Problem with Data Uncertainty in Constraint Functionals
Chapter 4. Multi-dimensional Variational Control Problem with Data Uncertainty in Objective and Constraint Functionals
Chapter 5. The Modified Approach for Multi-dimensional Optimization Problem with Data Uncertainty
Chapter 6. Semi-infinite Multi-dimensional Variational Control Problem with Data Uncertainty
Chapter 7. Robust Duality for Multi-dimensional Variational Control Problem with Data Uncertainty
Chapter 8. On a Class of Second-order PDE&PDI Constrained Robust Optimization Problems
Bibliography
Preface
Glossary of Notations
Chapter 1. Introduction
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4. Rigid Body Dynamics : A Lagrangian Approach. 1st ed. 2022
by Hamad M. Yehia
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2022
シリーズ名: Advances in Mechanics and Mathematics ; 45
オンライン: https://doi.org/10.1007/978-3-030-96336-1
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Introduction
Part 1. Overview of Rigid Body Dynamics
Distribution of mass
Description of rotation of a rigid body about a fixed point
The classical problem: The motion of a heavy rigid body about a fixed point
General and conditional integrable cases of the classical problem
The motion of a heavy gyrostat
Motion of rigid body about a fixed point in the field of a distant Newtonian centre and Brun's problem
The motion of a body with no fixed point
Part 2. Research on Rigid Body Dynamics
Particular solutions of the classical problem and its generalizations
The rigid body in a potential field
The problem of motion of a body in a liquid
The general problem of motion of a rigid body acted upon by a coaxial combination of potential and gyroscopic forces
The most general integrable in rigid body dynamics
Miscellaneous cases integrable on a single level of the areas integral
The rigid body acted upon by a skew combination of fields
Introduction
Part 1. Overview of Rigid Body Dynamics
Distribution of mass
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5. Introduction to Reaction-Diffusion Equations : Theory and Applications to Spatial Ecology and Evolutionary Biology. 1st ed. 2022
by King-Yeung Lam, Yuan Lou
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2022
シリーズ名: Lecture Notes on Mathematical Modelling in the Life Sciences ;
オンライン: https://doi.org/10.1007/978-3-031-20422-7
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Part I Linear Theory
1. The Maximum Principle and the Principal Eigenvalues for Single Equations
2. The Principal Eigenvalue for Periodic-Parabolic Problems
3. The Maximum Principle and the Principal Eigenvalue for Systems
4. The Principal Floquet Bundle for Parabolic Equations
Part II Ecological Dynamics
5. The Logistic Equation With Diffusion
6. Spreading in Homogeneous and Shifting Environments
7. The Lotka–Volterra Competition-Diffusion Systems for Two Species
8. Dynamics of Phytoplankton Populations
Part III Evolutionary Dynamics
9. Elements of Adaptive Dynamics
10. Selection-Mutation Models
Part IV Appendices
A. The Fixed Point Index
B. The Krein–Rutman Theorem
C. Subhomogeneous Dynamics
D. Existence of Connecting Orbits
E. Abstract Competition Systems in Ordered Banach Spaces
Index
Part I Linear Theory
1. The Maximum Principle and the Principal Eigenvalues for Single Equations
2. The Principal Eigenvalue for Periodic-Parabolic Problems