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#### Approximation of Stochastic Invariant Manifolds

Springer International Publishing 2014; US$ 54.99This first volume is concerned with the analytic derivation of explicit formulas for the leading-order Taylor approximations of (local) stochastic invariant manifolds associated with a broad class of nonlinear stochastic partial differential equations. These approximations take the form of Lyapunov-Perron integrals, which are further characterized... more...

#### Henri Poincaré, 1912?2012

Springer Basel 2014; US$ 109.00This thirteenth volume of the Poincaré Seminar Series, Henri Poincaré, 1912-2012 , is published on the occasion of the centennial of the death of Henri Poincaré in 1912. It presents a scholarly approach to Poincaré?s genius and creativity in mathematical physics and mathematics. Its five articles are also highly pedagogical, as befits their origin... more...

#### Mathematical Models of Tumor-Immune System Dynamics

Springer New York 2014; US$ 139.00This collection of papers offers a broad synopsis of state-of-the-art mathematical methods used in modeling the interaction between tumors and the immune system. These papers were presented at the four-day workshop on Mathematical Models of Tumor-Immune System Dynamics held in Sydney, Australia from January 7th to January 10th, 2013. The workshop brought... more...

#### Advances in Differential Equations and Applications

Springer International Publishing 2014; US$ 109.00The book contains a selection of contributions given at the 23th Congress on Differential Equations and Applications (CEDYA) / 13th Congress of Applied Mathematics (CMA) that took place at Castellon, Spain, in 2013. CEDYA is renowned as the congress of the Spanish Society of Applied Mathematics (SEMA) and constitutes the main forum and meeting point... more...

#### Fixed Point of the Parabolic Renormalization Operator

Springer International Publishing 2014; US$ 54.99This monograph grew out of the authors' efforts to provide a natural geometric description for the class of maps invariant under parabolic renormalization and for the Inou-Shishikura fixed point itself as well as to carry out a computer-assisted study of the parabolic renormalization operator. It introduces a renormalization-invariant class of analytic... more...

#### Approximation of Set-Valued Functions

World Scientific Publishing Company 2014; US$ 101.00This book is aimed at the approximation of set-valued functions with compact sets in an Euclidean space as values. The interest in set-valued functions is rather new. Such functions arise in various modern areas such as control theory, dynamical systems and optimization. The authors' motivation also comes from the newer field of geometric modeling,... more...

#### Applied Non-Linear Dynamical Systems

Springer International Publishing 2014; US$ 189.00The book is a collection of contributions devoted to analytical, numerical and experimental techniques of dynamical systems, presented at the International Conference on Dynamical Systems: Theory and Applications, held in ?ód?, Poland on December 2-5, 2013. The studies give deep insight into both the theory and applications of non-linear dynamical... more...

#### Modal Analysis of Nonlinear Mechanical Systems

Springer Vienna 2014; US$ 209.00The book first introduces the concept of nonlinear normal modes (NNMs) and their two main definitions. The fundamental differences between classical linear normal modes (LNMs) and NNMs are explained and illustrated using simple examples. Different methods for computing NNMs from a mathematical model are presented. Both advanced analytical and numerical... more...

#### Time-Varying Vector Fields and Their Flows

Springer International Publishing 2014; US$ 54.99This short book provides a comprehensive and unified treatment of time-varying vector fields under a variety of regularity hypotheses, namely finitely differentiable, Lipschitz, smooth, holomorphic, and real analytic. The presentation of this material in the real analytic setting is new, as is the manner in which the various hypotheses are unified... more...