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Normal Forms and Bifurcation of Planar Vector Fields

systematic methods of simplifying equations: centre manifold theory and normal form theory, by which the dimension of equations may be reduced and;

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Normal Forms and Bifurcation of Planar Vector Fields

systematic methods of simplifying equations: centre manifold theory and normal form theory, by which the dimension of equations may be reduced and;

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Qualitative Theory of Planar Differential Systems

qualitative, although attention is also given to more algebraic aspects as a thorough study of the center/focus problem and recent results on;

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Normal Forms, Bifurcations and Finiteness Problems in Differential Equations

are scattered throughout the literature and have not previously appeared in book form, the common denominator being the theory of planar;

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Linear Algebra

topics such as Hermitian products and Jordan normal forms. Starting from the definition of matrices, it is made clear with examples that matrices;

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Smooth Invariant Manifolds And Normal Forms

unstable local manifolds and the recent advancements in the theory of finitely smooth normal forms of vector fields and diffeomorphisms in the;

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Progress and Challenges in Dynamical Systems

difference and differential equations, Hamiltonian systems and also the classic challenges in planar vector fields. It also details recent advances;

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Bifurcation Theory Of Functional Differe

will find in this book all relevant materials in bifurcation, dynamical systems with symmetry, functional differential equations, normal;

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Structurally Unstable Quadratic Vector Fields of Codimension One

stable planar quadratic polynomial differential systems. In the present work the authors aim at finding all possible phase portraits in the;

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The Geometry of Vector Fields (Routledge Revivals)

This volume, first published in 2000, presents a classical approach to the foundations and development of the geometry of vector fields;

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The Geometry of Vector Fields (Routledge Revivals)

This volume, first published in 2000, presents a classical approach to the foundations and development of the geometry of vector fields;

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Linear Algebra

This book covers the basic theory of matrices and vector spaces. The book's three main parts cover (I) matrices, vector spaces, bases, and;

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Bifurcation and Stability in Nonlinear Discrete Systems

This book focuses on bifurcation and stability in nonlinear discrete systems, including monotonic and oscillatory stability. It presents;

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Bifurcation & Chaos in Complex Systems 1

of bifurcation analysis in smooth and non-smooth dynamical systems. The cell mapping methods are presented for global bifurcations in stochastic and;

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A Concise Introduction to Mechanics of Rigid Bodies

-fields of mechanical engineering. Three-dimensional kinematics, rigid bodies in planar spaces and numerous vector and matrix operations are;

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Symmetry and Perturbation Theory in Nonlinear Dynamics

is are vector no they by fields), to limit attention to linear reason symmetries. In this look the basic tools of i.e. normal book we at;

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Lecture Notes on o-Minimal Structures and Real Analytic Geometry

Cano on a new proof of resolution of singularities for planar analytic vector fields; Chris Miller on o-minimality and Hardy fields; Jean;

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Mathematical Models of Beams and Cables

numerical approaches, such as bifurcation and stability under potential and/or tangential loads, parametric excitation, nonlinear dynamics and;

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Continuous And Discontinuous Piecewise-smooth One-dimensional Maps

application as a border collision normal form are discussed. We describe the period adding and incrementing bifurcation structures in the domain;

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Dynamics and Bifurcations

notion of stability and bifurcations of vector fields are easily explained for scalar autonomous equations. Further, the authors investigate the;

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Modern Analysis of Automorphic Forms By Example

operators, vector-valued integrals, vector-valued holomorphic functions, and asymptotics. Volume 1 features discrete decomposition of cuspforms;

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Modern Analysis of Automorphic Forms By Example

on natural function spaces, unbounded operators, vector-valued integrals, vector-valued holomorphic functions, and asymptotics. With numerous;

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Linear Algebra

This book introduces some of the elementary concepts and results of Linear Algebra. It explains basic concepts and techniques of linear;

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Nonlinear & Complex Systems

, bifurcation analysis and chaos synchronization. It contains 19 chapters, organized into 3 sections: Section 1 - Resonance Phenomena, Nonlinear;

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Vertex Operator Algebras, Number Theory and Related Topics

and vector-valued modular forms and offer original contributions to the areas of vertex algebras and number theory, surveys on some of the;

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Cambridge Studies in Advanced Mathematics

natural function spaces, unbounded operators, vector-valued integrals, vector-valued holomorphic functions, and asymptotics in Volume 2. The book;

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Jacobi Forms Finite Quadratic Modules and Weil Representations over Number Fiel

in many other disciplines in mathematics and physics. Jacobi forms can be viewed as vector valued modular forms which take values in so-called;

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