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1. Bifurcation without Parameters
by Stefan Liebscher
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2117
オンライン: http://dx.doi.org/10.1007/978-3-319-10777-6
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Introduction
Methods & Concepts
Cosymmetries
Codimension One
Transcritical Bifurcation
Poincar´e-Andronov-Hopf Bifurcation
Application: Decoupling in Networks
Application: Oscillatory Profiles
Codimension Two
egenerate Transcritical Bifurcation
egenerate Andronov-Hopf Bifurcation
Bogdanov-Takens Bifurcation
Zero-Hopf Bifurcation
Double-Hopf Bifurcation
Application: Cosmological Models
Application: Planar Fluid Flow
Beyond Codimension Two
Codimension-One Manifolds of Equilibria
Summary & Outlook
Introduction
Methods & Concepts
Cosymmetries
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2. Evolutionary Equations with Applications in Natural Sciences
edited by Jacek Banasiak, Mustapha Mokhtar-Kharroubi
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2126
オンライン: http://dx.doi.org/10.1007/978-3-319-11322-7
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Wilson Lamb: Applying functional analytic techniques to evolution equations
Adam Bobrowski: Boundary conditions in evolutionary equations in biology.-Ernesto Estrada: Introduction to Complex Networks: Structure and Dynamics.-Jacek Banasiak: Kinetic models in natural sciences
Philippe Laurençot: Weak compactness techniques and coagulation equations
Ryszard Rudnicki: Stochastic operators and semigroups and their applications in physics and biology
Mustapha Mokhtar-Kharroubi: Spectral theory for neutron transport.-Anna Marciniak-Czochra: Reaction-diffusion-ODE models of pattern formation
Mapundi Kondwani Banda: Nonlinear Hyperbolic Systems of Conservation Laws and Related Applications
Wilson Lamb: Applying functional analytic techniques to evolution equations
Adam Bobrowski: Boundary conditions in evolutionary equations in biology.-Ernesto Estrada: Introduction to Complex Networks: Structure and Dynamics.-Jacek Banasiak: Kinetic models in natural sciences
Philippe Laurençot: Weak compactness techniques and coagulation equations
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3. The Dynamics of Nonlinear Reaction-Diffusion Equations with Small Lévy Noise
by Arnaud Debussche, Michael Högele, Peter Imkeller
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2013
シリーズ名: Lecture Notes in Mathematics ; 2085
オンライン: http://dx.doi.org/10.1007/978-3-319-00828-8
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Introduction
The fine dynamics of the Chafee- Infante equation
The stochastic Chafee- Infante equation
The small deviation of the small noise solution
Asymptotic exit times
Asymptotic transition times
Localization and metastability
The source of stochastic models in conceptual climate dynamics
Introduction
The fine dynamics of the Chafee- Infante equation
The stochastic Chafee- Infante equation
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4. Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications : Cetraro, Italy 2011, Editors: Paola Loreti, Nicoletta Anna Tchou
by Yves Achdou, Guy Barles, Hitoshi Ishii, Grigory L. Litvinov
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Lecture Notes in Mathematics ; 2074
オンライン: http://dx.doi.org/10.1007/978-3-642-36433-4
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Finite Difference Methods For Mean Field Games
An Introduction to the Theory of Viscosity Solutions for First-Order Hamilton-Jacobi Equations and Applications
A Short Introduction to Viscosity Solutions and the Large Time Behavior of Solutions of Hamilton-Jacobi Equations
Idempotent/Tropical Analysis, the Hamilton-Jacobi and Bellman Equations
Finite Difference Methods For Mean Field Games
An Introduction to the Theory of Viscosity Solutions for First-Order Hamilton-Jacobi Equations and Applications
A Short Introduction to Viscosity Solutions and the Large Time Behavior of Solutions of Hamilton-Jacobi Equations
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5. Mutational Analysis : A Joint Framework for Cauchy Problems in and Beyond Vector Spaces
by Thomas Lorenz
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010
シリーズ名: Lecture Notes in Mathematics ; 1996
オンライン: http://dx.doi.org/10.1007/978-3-642-12471-6
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Extending Ordinary Differential Equations to Metric Spaces: Aubin’s Suggestion
Adapting Mutational Equations to Examples in Vector Spaces: Local Parameters of Continuity
Less Restrictive Conditions on Distance Functions: Continuity Instead of Triangle Inequality
Introducing Distribution-Like Solutions to Mutational Equations
Mutational Inclusions in Metric Spaces
Extending Ordinary Differential Equations to Metric Spaces: Aubin’s Suggestion
Adapting Mutational Equations to Examples in Vector Spaces: Local Parameters of Continuity
Less Restrictive Conditions on Distance Functions: Continuity Instead of Triangle Inequality
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6. Local Lyapunov Exponents : Sublimiting Growth Rates of Linear Random Differential Equations
by Wolfgang Siegert ; edited by J. -M. Morel, F. Takens, B. Teissier
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009
シリーズ名: Lecture Notes in Mathematics ; 1963
オンライン: http://dx.doi.org/10.1007/978-3-540-85964-2
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7. Existence and Regularity Properties of the Integrated Density of States of Random Schrodinger Operators
by Ivan Veselic
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2008
シリーズ名: Lecture Notes in Mathematics ; 1917
オンライン: http://dx.doi.org/10.1007/978-3-540-72691-3
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8. Hamiltonian Dynamics - Theory and Applications : Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 1-10, 1999
edited by Antonio Giorgilli, Giancarlo Benettin, Jacques Henrard, Sergei Kuksin
出版情報: Berlin Heidelberg : Springer-Verlag GmbH., 2005
シリーズ名: Lecture Notes in Mathematics ; 1861
オンライン: http://dx.doi.org/10.1007/b104338
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