Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles by Maoan Han
This book introduces the recent developments in the field and provides major advances in fundamental theory of limit cycles. It considers near Hamiltonian systems using Melnikov function as the main mathematical tool.-
A Practical Guide to Splines
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Fractional Differential Equations
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Partial Differential Equations II
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Elliptic Functions and Applications
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Dynamics: Numerical Explorations
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Averaging for Nonlinear Dynamics with Applications and Numerical Bifurcations
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Direct and Inverse Scattering for the Matrix Schrodinger Equation
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Imperfect Bifurcation in Structures and Materials
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Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems
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Exact and Heuristic Methods in Combinatorial Optimization
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Optimal Control of Partial Differential Equations
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Applications of Percolation Theory
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Falling Liquid Films
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Nonlinear Filtering and Optimal Phase Tracking
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Mathematical Problems in Image Processing
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Fluid Dynamics of Viscoelastic Liquids
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An Introduction to Theory and Applications of Stationary Variational-Hemivariational Inequalities
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The Geometry of Minkowski Spacetime
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Lectures on Variational Analysis
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Level Set Methods and Dynamic Implicit Surfaces
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Brownian Dynamics at Boundaries and Interfaces
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Adaptive Moving Mesh Methods
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Nonlinear Functional Analysis with Applications to Combustion Theory
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Dynamical Systems and Chaos
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Bifurcation Theory
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Nonlinear Dispersive Equations
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Infinite-Dimensional Dynamical Systems in Mechanics and Physics
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Transient Chaos
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Chaos, Fractals, and Noise
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Mathematical Problems from Combustion Theory
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Linear Integral Equations
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Singularities and Groups in Bifurcation Theory
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Applied Functional Analysis
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Robust Control Theory in Hilbert Space
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Invariant Manifolds and Fibrations for Perturbed Nonlinear Schroedinger Equations
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Normally Hyperbolic Invariant Manifolds in Dynamical Systems
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Prandtl-Essentials of Fluid Mechanics
From the reviews:
“This monograph written by excellent specialists in the fundamental theory of limit cycles represents an introduction to the most new developments and systematical presentation of major advances in this field which come mainly from the authors' own recent research results… Classic topics with recent results are presented in a clear and concise manner that will be suitable for post-graduate students studying the theory of limit cycles as well as for scientists interesting in the applications of periodic behavior.” (Alexander Grin, Zentralblatt MATH, Vol. 1252, 2012)
“This excellent book advances the theory of Limit Cycles–isolated periodic orbits that are sometimes referred to as self-sustained oscillations in the literature. … This book stands out with worked-out examples galore and efficient and accessible algorithms on classical subjects … . The authors aim at shedding new light on ‘old’ settled results as well as introducing recent advances in the field. The book achieves both handsomely, through a highly readable and convincing exposition that harnesses the power of modern computational tools … .” (Bourama Toni, Mathematical Reviews, January, 2013)
| SKU | Unavailable |
| ISBN 13 | 9781447158301 |
| ISBN 10 | 144715830X |
| Title | Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles |
| Author | Maoan Han |
| Series | Applied Mathematical Sciences |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer London Ltd |
| Year published | 2014-05-08 |
| Number of pages | 404 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |