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Perturbation (Mathematics)

  • Singular Perturbations of Differential Operatorsby S. Albeverio; P. Kurasov

    Cambridge University Press 2000; US$ 83.00

    This is a systematic mathematical study of differential (and more general self-adjoint) operators. more...

  • Linear Discrete Parabolic Problemsby Nikolai Bakaev

    Elsevier Science 2005; US$ 175.00

    This volume introduces a unified, self-contained study of linear discrete parabolic problems through reducing the starting discrete problem to the Cauchy problem for an evolution equation in discrete time. Accessible to beginning graduate students, the book contains a general stability theory of discrete evolution equations in Banach space and gives... more...

  • Nonuniform Hyperbolicityby Luis Barreira; Yakov Pesin

    Cambridge University Press 2007; US$ 124.00

    A self-contained, comprehensive account of modern smooth ergodic theory, the mathematical foundation of deterministic chaos. more...

  • A Vector Approach To Oscillationsby Henry G. Booker

    Elsevier Science 2012; US$ 31.95

    A Vector Approach to Oscillations focuses on the processes in handling oscillations. Divided into four chapters, the book opens with discussions on the technique of handling oscillations. Included in the discussions are the addition and subtraction of oscillations using vectors; the square root of two vectors; the role of vector algebra in oscillation... more...

  • Weak Linksby Peter Csermely

    Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2009; US$ 69.99

    Why do women stabilize our societies? Why can we enjoy and understand Shakespeare? Why is Mona Lisa's smile beautiful? Is there any answer to these questions? The author (recipient of several science communication prizes) uses weak (low affinity, probability) interactions as a thread to introduce a variety of networks from proteins to ecosystems. more...

  • Robust Filtering for Uncertain Systemsby Huijun Gao; Xianwei Li

    Springer 2014; US$ 109.00

    This monograph provides the reader with a systematic treatment of robust filter design, a key issue in systems, control and signal processing, because of the fact that the inevitable presence of uncertainty in system and signal models often degrades the filtering performance and may even cause instability. The methods described are therefore not subject... more...

  • Stability and Control of Large-Scale Dynamical Systemsby Wassim M. Haddad; Sergey G. Nersesov

    Princeton University Press 2011; US$ 105.00

    Modern complex large-scale dynamical systems exist in virtually every aspect of science and engineering, and are associated with a wide variety of physical, technological, environmental, and social phenomena, including aerospace, power, communications, and network systems, to name just a few. This book develops a general stability analysis and control... more...

  • Introduction to Perturbation Methodsby Mark H. Holmes

    Springer 2013; US$ 79.95

    This introductory graduate text is based on a graduate course the author has taught repeatedly over the last ten years to students in applied mathematics, engineering sciences, and physics. Each chapter begins with an introductory development involving ordinary differential equations, and goes on to cover such traditional topics as boundary layers... more...

  • Applications of Nonlinear Dynamicsby Visarath In; Patrick Longhini; Antonio Palacios

    Springer 2008; US$ 129.00

    Includes such examples as complex networks of magnetic sensor systems, coupled nano-mechanical oscillators, nano-detectors, microscale devices, stochastic resonance in multi-dimensional chaotic systems, biosensors, and stochastic signal quantization. more...

  • Singular Perturbation Theoryby Robin Johnson

    Springer 2006; US$ 219.00

    The theory of singular perturbations has evolved as a response to the need to find approximate solutions (in an analytical form) to complex problems. Typically, such problems are expressed in terms of differential equations which contain at least one small parameter, and they can arise in many fields: fluid mechanics, particle physics, and combustion... more...